<\/p>\n\n\n
1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\n\n\n\nS\u1ed1 m\u0169 a<\/strong><\/p>\n<\/td>\n\nC\u01a1 s\u1ed1 a<\/strong><\/p>\n<\/td>\n\nLu\u1ef9 th\u1eeba <\/strong><\/p>\n<\/td>\n<\/tr>\n\n\n<\/em><\/p>\n<\/td>\n\na \u00ce R<\/em><\/p>\n<\/td>\n\n<\/em> (n th\u1eeba s\u1ed1 a)<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n<\/p>\n\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n ; <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
S\u1ed1 m\u0169 a<\/strong><\/p>\n<\/td>\n\nC\u01a1 s\u1ed1 a<\/strong><\/p>\n<\/td>\n\nLu\u1ef9 th\u1eeba <\/strong><\/p>\n<\/td>\n<\/tr>\n\n\n<\/em><\/p>\n<\/td>\n\na \u00ce R<\/em><\/p>\n<\/td>\n\n<\/em> (n th\u1eeba s\u1ed1 a)<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n<\/p>\n\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n ; <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
C\u01a1 s\u1ed1 a<\/strong><\/p>\n<\/td>\n\nLu\u1ef9 th\u1eeba <\/strong><\/p>\n<\/td>\n<\/tr>\n\n\n<\/em><\/p>\n<\/td>\n\na \u00ce R<\/em><\/p>\n<\/td>\n\n<\/em> (n th\u1eeba s\u1ed1 a)<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n<\/p>\n\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n ; <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Lu\u1ef9 th\u1eeba <\/strong><\/p>\n<\/td>\n<\/tr>\n\n\n<\/em><\/p>\n<\/td>\n\na \u00ce R<\/em><\/p>\n<\/td>\n\n<\/em> (n th\u1eeba s\u1ed1 a)<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n<\/p>\n\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n ; <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/em><\/p>\n<\/td>\n\na \u00ce R<\/em><\/p>\n<\/td>\n\n<\/em> (n th\u1eeba s\u1ed1 a)<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n<\/p>\n\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n ; <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
a \u00ce R<\/em><\/p>\n<\/td>\n\n<\/em> (n th\u1eeba s\u1ed1 a)<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n<\/p>\n\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n ; <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/em> (n th\u1eeba s\u1ed1 a)<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n\n<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n<\/p>\n\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n ; <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba<\/strong><\/p>\n\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n<\/p>\n\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n ; <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3:<\/p>\n
<\/p>\n
\u00b7 a > 1 : ; 0 < a < 1 : <\/p>\n
\u00b7 V\u1edbi 0 < a < b ta c\u00f3:<\/p>\n
; <\/p>\n
Ch\u00fa \u00fd:<\/em><\/strong> + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 0 v\u00e0 s\u1ed1 m\u0169 nguy\u00ean \u00e2m th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i kh\u00e1c 0.<\/em><\/p>\n + Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
+ Khi x\u00e9t lu\u1ef9 th\u1eeba v\u1edbi s\u1ed1 m\u0169 kh\u00f4ng nguy\u00ean th\u00ec c\u01a1 s\u1ed1 a ph\u1ea3i d\u01b0\u01a1ng.<\/em><\/p>\n3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
3. \u0110\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u0103n th\u1ee9c<\/strong><\/p>\n\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n ; ; ; <\/p>\n ; \u0110\u1eb7c bi\u1ec7t <\/p>\n\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\nN\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\nCh\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00b7 C\u0103n b\u1eadc n c\u1ee7a a l\u00e0 s\u1ed1 b sao cho .<\/p>\n
\u00b7 V\u1edbi a, b \u00b3 0, m, n \u00ce N*, p, q \u00ce Z ta c\u00f3:<\/p>\n
; ; ; <\/p>\n
; \u0110\u1eb7c bi\u1ec7t <\/p>\n
\u00b7 N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng l\u1ebb v\u00e0 a < b th\u00ec .<\/p>\n
N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng ch\u1eb5n v\u00e0 0 < a < b th\u00ec .<\/p>\n
Ch\u00fa \u00fd<\/em><\/strong>: <\/em><\/p>\n + Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
+ Khi n l\u1ebb, m\u1ed7i s\u1ed1 th\u1ef1c a ch\u1ec9 c\u00f3 m\u1ed9t c\u0103n b\u1eadc n. K\u00ed hi\u1ec7u <\/em> .<\/em><\/p>\n + Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
+ Khi n ch\u1eb5n, m\u1ed7i s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a c\u00f3 \u0111\u00fang hai c\u0103n b\u1eadc n l\u00e0 hai s\u1ed1 \u0111\u1ed1i nhau.<\/em><\/p>\nII. H\u00c0M S\u1ed0 L\u0168Y TH\u1eeaA<\/strong><\/h1>\n1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
1) H\u00e0m s\u1ed1 lu\u1ef9 th\u1eeba <\/strong> (a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n\u00a0<\/p>\n\n\n\n\nS\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00a0<\/p>\n
S\u1ed1 m\u0169 <\/strong>a<\/p>\n<\/td>\n\nH\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
H\u00e0m s\u1ed1 <\/strong><\/p>\n<\/td>\n\nT\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
T\u1eadp x\u00e1c \u0111\u1ecbnh D<\/strong><\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
a = n (n nguy\u00ean d\u01b0\u01a1ng)<\/p>\n<\/td>\n
<\/strong><\/p>\n<\/td>\n\nD = R<\/p>\n<\/td>\n<\/tr>\n\n\na = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
D = R<\/p>\n<\/td>\n<\/tr>\n
a = n (n nguy\u00ean \u00e2m ho\u1eb7c n = 0)<\/p>\n<\/td>\n
<\/strong><\/p>\n<\/td>\n\nD = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n\n\na l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n\n<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
D = R \\ {0}<\/p>\n<\/td>\n<\/tr>\n
a l\u00e0 s\u1ed1 th\u1ef1c kh\u00f4ng nguy\u00ean<\/p>\n<\/td>\n
<\/strong><\/p>\n<\/td>\n\nD = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nCh\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
D = (0; +\u00a5)<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
Ch\u00fa \u00fd:<\/em><\/strong> H\u00e0m s\u1ed1 <\/em> kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> .<\/em><\/p>\n2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
2) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00b7 ; <\/p>\nCh\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00b7 ; <\/p>\n
Ch\u00fa \u00fd: <\/em><\/strong> .<\/em> <\/p>\n<\/p>\n<\/a>III. L\u00d4GARIT<\/strong><\/h1>\n<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/a>1. \u0110\u1ecbnh ngh\u0129a<\/strong><\/p>\n\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\nCh\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00b7 V\u1edbi a > 0, a \u00b9 1, b > 0 ta c\u00f3: <\/p>\n
Ch\u00fa \u00fd:<\/em><\/strong> c\u00f3 ngh\u0129a khi <\/em> <\/p>\n\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00b7 Logarit th\u1eadp ph\u00e2n: <\/p>\n
\u00b7 Logarit t\u1ef1 nhi\u00ean (logarit Nepe): (v\u1edbi )<\/p>\n
<\/a>2. T\u00ednh ch\u1ea5t<\/strong><\/p>\n\u00b7 ; ; ; <\/p>\n\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n+ N\u1ebfu a > 1 th\u00ec <\/p>\n+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00b7 ; ; ; <\/p>\n
\u00b7 Cho a > 0, a \u00b9 1, b, c > 0. Khi \u0111\u00f3:<\/p>\n
+ N\u1ebfu a > 1 th\u00ec <\/p>\n
+ N\u1ebfu 0 < a < 1 th\u00ec <\/p>\n
<\/a>3. C\u00e1c qui t\u1eafc t\u00ednh logarit<\/strong><\/p>\nV\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
V\u1edbi a > 0, a \u00b9 1, b, c > 0, ta c\u00f3:<\/p>\n
\u00b7 \u00b7 \u00b7 <\/p>\n
<\/a>4. \u0110\u1ed5i c\u01a1 s\u1ed1<\/strong><\/p>\nV\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n\u00b7 hay <\/p>\n\u00b7 \u00b7 <\/p>\n<\/a>IV. H\u00c0M S\u1ed0 M\u0168, H\u00c0M S\u1ed0 L\u00d4GARIT<\/strong><\/h1>\n\u00a0<\/p>\n<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
V\u1edbi a, b, c > 0 v\u00e0 a, b \u00b9 1, ta c\u00f3:<\/p>\n
\u00b7 hay <\/p>\n
\u00b7 \u00b7 <\/p>\n
<\/a>1) H\u00e0m s\u1ed1 m\u0169 <\/strong> (a > 0, a \u00b9 1).<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = R.<\/p>\n
\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = (0; +\u00a5).<\/p>\n
\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n
\u00b7 Nh\u1eadn tr\u1ee5c ho\u00e0nh l\u00e0m ti\u1ec7m c\u1eadn ngang.<\/p>\n
\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n
<\/a> 2) H\u00e0m s\u1ed1 logarit<\/strong> (a > 0, a \u00b9 1)<\/p>\n\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n\u00b7 Khi a > 1 h\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn, khi 0 < a < 1 h\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn.<\/p>\n\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n\u00b7 \u0110\u1ed3 th\u1ecb:<\/p>\n <\/p>\n<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\u00b7 T\u1eadp x\u00e1c \u0111\u1ecbnh: D = (0; +\u00a5).<\/p>\n
\u00b7 T\u1eadp gi\u00e1 tr\u1ecb: T = R.<\/p>\n
\u00b7 Nh\u1eadn tr\u1ee5c tung l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n
<\/a>3) Gi\u1edbi h\u1ea1n \u0111\u1eb7c bi\u1ec7t<\/strong><\/p>\n\u00b7 \u00b7 \u00b7 <\/p>\n<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
<\/a>4) \u0110\u1ea1o h\u00e0m <\/strong><\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n ; <\/p>\n\u00a0<\/p>\n\u00b7 ; <\/p>\n (x > 0); <\/p>\nB \u2013 B\u00c0I T\u1eacP TR\u1eaeC NGHI\u1ec6M<\/strong><\/h1>\nC\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
(x > 0); <\/p>\n
C\u00e2u 1: <\/strong>Cho , v\u00e0 , trong \u0111\u00f3 l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c <\/p>\nA. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
A. <\/strong> . B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
C\u00e2u 2: <\/strong>N\u1ebfu v\u00e0 th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a b\u1eb1ng<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
A. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
C\u00e2u 3: <\/strong>V\u1edbi , cho bi\u1ebft: . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\nA. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
A. <\/strong> . B. <\/strong> . C. <\/strong> . D. <\/strong> .<\/p>\nC\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
C\u00e2u 4: <\/strong>Trong h\u00ecnh v\u1ebd d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 , , .<\/p>\n .<\/p>\nH\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\nA. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
.<\/p>\n
H\u00e3y ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y?<\/p>\n
A. <\/strong> B. <\/strong> C. <\/strong> D. <\/strong> <\/p>\nC\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
C\u00e2u 5: <\/strong>Cho b\u1ed1n h\u00e0m s\u1ed1 , , , c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n<\/p>\nT\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\nA. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
T\u01b0\u01a1ng \u1ee9ng h\u00e0m s\u1ed1 – \u0111\u1ed3 th\u1ecb \u0111\u00fang l\u00e0<\/p>\n
A. <\/strong> .<\/p>\nB. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
B. <\/strong> <\/p>\nC. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
C. <\/strong> .<\/p>\nD. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
D. <\/strong> <\/p>","protected":false},"excerpt":{"rendered":"A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
A \u2013 L\u00dd THUY\u1ebeT CHUNG I. L\u0168Y TH\u1eeaA 1. \u0110\u1ecbnh ngh\u0129a lu\u1ef9 th\u1eeba S\u1ed1 m\u0169 a C\u01a1 s\u1ed1 a Lu\u1ef9 th\u1eeba a \u00ce R (n th\u1eeba s\u1ed1 a) 2. T\u00ednh ch\u1ea5t c\u1ee7a lu\u1ef9 th\u1eeba \u00b7 V\u1edbi m\u1ecdi a > 0, b > 0 ta c\u00f3: \u00b7 a > 1 : ; 0 < a < […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22784","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22784"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions"}],"predecessor-version":[{"id":22903,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22784\/revisions\/22903"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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<\/em><\/p>\n<\/td>\n![\"IMG_258\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_258-33.png\")
<\/em> (n th\u1eeba s\u1ed1 a)<\/p>\n<\/td>\n<\/tr>\n![\"IMG_259\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_259-31.png\")
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(a l\u00e0 h\u1eb1ng s\u1ed1)<\/p>\n![\"IMG_287\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_287-32.png\")
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kh\u00f4ng \u0111\u1ed3ng nh\u1ea5t v\u1edbi h\u00e0m s\u1ed1 <\/em> ![\"IMG_292\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_292-32.png\")
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c\u00f3 ngh\u0129a khi <\/em> ![\"IMG_299\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_299-31.png\")
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; ![\"IMG_304\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_304-31.png\")
; ![\"IMG_305\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_305-31.png\")
; ![\"IMG_306\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_306-31.png\")
<\/p>\n![\"IMG_307\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_307-31.png\")
<\/p>\n![\"IMG_308\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_308-31.png\")
<\/p>\n![\"IMG_309\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_309-30.png\")
\u00b7 ![\"IMG_310\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_310-31.png\")
\u00b7 ![\"IMG_311\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_311-30.png\")
<\/p>\n![\"IMG_312\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_312-30.png\")
hay ![\"IMG_313\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_313-29.png\")
<\/p>\n![\"IMG_314\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_314-29.png\")
\u00b7 ![\"IMG_315\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_315-29.png\")
<\/p>\n![\"IMG_316\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_316-29.png\")
(a > 0, a \u00b9 1).<\/p>\n![\"IMG_317\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_317-29.png\")
![\"IMG_318\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_318-29.png\")
<\/p>\n![\"IMG_319\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_319-29.png\")
(a > 0, a \u00b9 1)<\/p>\n![\"IMG_320\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_320-29.png\")
![\"IMG_321\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_321-28.png\")
<\/p>\n![\"IMG_322\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_322-28.png\")
\u00b7 ![\"IMG_323\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_323-26.png\")
\u00b7 ![\"IMG_324\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_324-26.png\")
<\/p>\n![\"IMG_325\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_325-26.png\")
; ![\"IMG_326\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_326-26.png\")
<\/p>\n![\"IMG_327\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_327-26.png\")
; ![\"IMG_328\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_328-25.png\")
<\/p>\n![\"IMG_329\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_329-25.png\")
; ![\"IMG_330\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_330-25.png\")
<\/p>\n![\"IMG_331\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_331-25.png\")
(x > 0); ![\"IMG_332\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_332-25.png\")
<\/p>\n![\"IMG_333\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_333-25.png\")
, ![\"IMG_334\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_334-24.png\")
v\u00e0 ![\"IMG_335\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_335-24.png\")
, trong \u0111\u00f3 ![\"IMG_336\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_336-24.png\")
l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean. T\u00ednh gi\u00e1 tr\u1ecb bi\u1ec3u th\u1ee9c ![\"IMG_337\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_337-24.png\")
<\/p>\n![\"IMG_338\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_338-24.png\")
. B. <\/strong> ![\"IMG_339\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_339-23.png\")
C. <\/strong> ![\"IMG_340\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_340-23.png\")
D. <\/strong> ![\"IMG_341\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_341-23.png\")
<\/p>\n![\"IMG_342\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_342-23.png\")
v\u00e0 ![\"IMG_343\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_343-23.png\")
th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a ![\"IMG_344\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_344-23.png\")
b\u1eb1ng<\/p>\n![\"IMG_345\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_345-23.png\")
B. <\/strong> ![\"IMG_346\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_346-22.png\")
C. <\/strong> ![\"IMG_347\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_347-21.png\")
D. <\/strong> ![\"IMG_348\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_348-20.png\")
<\/p>\n![\"IMG_349\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_349-20.png\")
, cho bi\u1ebft: ![\"IMG_350\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_350-20.png\")
. Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang:<\/p>\n![\"IMG_351\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_351-20.png\")
. B. <\/strong> ![\"IMG_352\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_352-20.png\")
. C. <\/strong> ![\"IMG_353\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_353-20.png\")
. D. <\/strong> ![\"IMG_354\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_354-20.png\")
.<\/p>\n![\"IMG_355\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_355-20.png\")
, ![\"IMG_356\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_356-20.png\")
, ![\"IMG_357\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_357-20.png\")
.<\/p>\n![\"IMG_358\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_358-20.png\")
.<\/p>\n![\"IMG_359\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_359-20.png\")
B. <\/strong> ![\"IMG_360\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_360-19.png\")
C. <\/strong> ![\"IMG_361\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_361-18.png\")
D. <\/strong> ![\"IMG_362\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_362-18.png\")
<\/p>\n![\"IMG_363\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_363-16.png\")
, ![\"IMG_364\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_364-18.png\")
, ![\"IMG_365\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_365-18.png\")
, ![\"IMG_366\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_366-18.png\")
c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 ![\"IMG_367\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_367-18.png\")
\u0111\u01b0\u1eddng cong theo ph\u00eda tr\u00ean \u0111\u1ed3 th\u1ecb, th\u1ee9 t\u1ef1 t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0 ![\"IMG_368\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_368-18.png\")
nh\u01b0 h\u00ecnh v\u1ebd b\u00ean.<\/p>\n![\"IMG_369\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_369-18.png\")
<\/p>\n![\"IMG_370\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_370-18.png\")
.<\/p>\n![\"IMG_371\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_371-18.png\")
<\/p>\n![\"IMG_372\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_372-18.png\")
.<\/p>\n![\"IMG_373\"](\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_373-17.png\")
<\/p>","protected":false},"excerpt":{"rendered":"