Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n
T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean v\u1edbi v\u00f4 v\u00e0n \u0111i\u1ec1u th\u00fa v\u1ecb. B\u00e9 \u0111\u00e3 bi\u1ebft h\u1ebft ch\u01b0a? H\u00e3y \u0111i t\u00ecm b\u00ed m\u1eadt c\u1ee7a c\u00e1c con s\u1ed1 v\u1edbi m\u00f4n to\u00e1n h\u1ecdc \u2013 s\u1ed1 h\u1ecdc l\u1edbp 6: T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n\n\n\n
Kh\u00e1m ph\u00e1 th\u00fa v\u1ecb v\u1ec1 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean<\/p>\n\n\n\n
Kh\u00e1i ni\u1ec7m<\/p>\n\n\n\n
T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean theo ti\u00eau chu\u1ea9n ISO<\/p>\n\n\n\n
Theo ti\u00eau chu\u1ea9n c\u1ee7a ISO 80000-2 c\u0169ng nh\u01b0 trong c\u00e1c t\u00e0i li\u1ec7u s\u00e1ch gi\u00e1o khoa. C\u1ee5 th\u1ec3 l\u00e0 s\u00e1ch gi\u00e1o khoa to\u00e1n l\u1edbp 6 \u0111\u01b0\u1ee3c ph\u00e1t h\u00e0nh t\u1ea1i Vi\u1ec7t Nam. S\u1ed1 t\u1ef1 nhi\u00ean l\u00e0 m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 nguy\u00ean kh\u00f4ng \u00e2m: 0,1,2,3,4,\u2026<\/p>\n\n\n\n
\u0110\u1ecbnh ngh\u0129a d\u1ef1a tr\u00ean l\u00fd thuy\u1ebft s\u1ed1<\/p>\n\n\n\n
N\u1ebfu d\u1ef1a theo l\u00fd thuy\u1ebft s\u1ed1 v\u1ec1 t\u00ednh ch\u1ea5t c\u1ee7a s\u1ed1 m\u00e0 \u0111\u1eb7c bi\u1ec7t l\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a s\u1ed1 nguy\u00ean. T\u1eadp h\u1ee3p s\u1ed1 t\u1ef1 nhi\u00ean \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 1,2,3,.. kh\u00f4ng bao g\u1ed3m s\u1ed1 0.<\/p>\n\n\n\n
V\u00ec t\u00ednh \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong c\u1ea3 l\u00fd thuy\u1ebft t\u1eadp h\u1ee3p v\u00e0 khoa h\u1ecdc m\u00e1y t\u00ednh. Hi\u1ec7n nay t\u1eadp h\u1ee3p s\u1ed1 t\u1ef1 nhi\u00ean \u0111\u01b0\u1ee3c quy \u0111\u1ecbnh theo s\u00e1ch gi\u00e1o khoa to\u00e1n l\u1edbp 6: Bao g\u1ed3m c\u00e1c s\u1ed1 nguy\u00ean kh\u00f4ng \u00e2m (t\u00ednh c\u1ea3 s\u1ed1 0).<\/p>\n\n\n\n
Kh\u00e1i ni\u1ec7m t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean<\/p>\n\n\n\n
K\u00fd hi\u1ec7u s\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n\n\n\n
S\u1ed1 t\u1ef1 nhi\u00ean l\u00e0 m\u1ed9t t\u1eadp h\u1ee3p \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 N.<\/p>\n\n\n\n
S\u1ed1 t\u1ef1 nhi\u00ean kh\u00e1c 0 \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u l\u00e0 N*<\/p>\n\n\n\n
S\u1ed1 t\u1ef1 nhi\u00ean \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n tr\u00ean tr\u1ee5c g\u1ecdi l\u00e0 tia s\u1ed1.<\/p>\n\n\n\n
M\u1ed7i s\u1ed1 t\u1ef1 nhi\u00ean l\u00e0 m\u1ed9t \u0111i\u1ec3m tr\u00ean tia s\u1ed1.<\/p>\n\n\n\n
Tr\u00ean tia s\u1ed1, s\u1ed1 nh\u1ecf n\u1eb1m b\u00ean tr\u00e1i, s\u1ed1 l\u1edbn n\u1eb1m b\u00ean ph\u1ea3i.<\/p>\n\n\n\n
Th\u1ee9 t\u1ef1 c\u00e1c s\u1ed1 trong t\u1eadp h\u1ee3p s\u1ed1 t\u1ef1 nhi\u00ean. Ph\u1ea7n t\u1eed. T\u1eadp con.<\/p>\n\n\n\n
Th\u1ee9 t\u1ef1 c\u00e1c s\u1ed1 trong t\u1eadp h\u1ee3p s\u1ed1 t\u1ef1 nhi\u00ean<\/p>\n\n\n\n
Trong m\u1ed9t t\u1eadp s\u1ed1 t\u1ef1 nhi\u00ean, hai s\u1ed1 li\u00ean ti\u1ebfp nhau th\u00ec h\u01a1n \u2013 k\u00e9m nhau m\u1ed9t \u0111\u01a1n v\u1ecb. \u0110\u00e2y l\u00e0 c\u00e1c tr\u01b0\u1eddng h\u1ee3p duy nh\u1ea5t. V\u00ec m\u1ed7i s\u1ed1 t\u1ef1 nhi\u00ean ch\u1ec9 c\u00f3 m\u1ed9t s\u1ed1 li\u1ec1n tr\u01b0\u1edbc c\u0169ng nh\u01b0 m\u1ed9t s\u1ed1 li\u1ec1n sau duy nh\u1ea5t.<\/p>\n\n\n\n
K\u00fd hi\u1ec7u th\u1ee9 t\u1ef1 trong t\u1eadp s\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n\n\n\n
Gi\u1ea3 s\u1eed: ta c\u00f3 c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean a, b, c v\u00e0 d<\/p>\n\n\n\n
Ta vi\u1ebft: a < b ho\u1eb7c b > a. Khi a nh\u1ecf h\u01a1n b<\/p>\n\n\n\n
Ng\u01b0\u1ee3c l\u1ea1i, ta vi\u1ebft: b < a ho\u1eb7c a > b. Khi a l\u1edbn h\u01a1n b<\/p>\n\n\n\n
Ngo\u00e0i ra, c\u00f2n c\u00f3 c\u00e1c k\u00fd hi\u1ec7u a \u2264 d \u2264 b \u0111\u1ec3 di\u1ec5n t\u1ea3 c nh\u1ecf h\u01a1n ho\u1eb7c b\u1eb1ng a, l\u1edbn h\u01a1n ho\u1eb7c b\u1eb1ng b v\u00e0 ng\u01b0\u1ee3c l\u1ea1i. \u2265<\/p>\n\n\n\n
Ta c\u00f3 t\u00ednh ch\u1ea5t b\u1eafc c\u1ea7u c\u1ee7a s\u1ed1 t\u1ef1 nhi\u00ean \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n nh\u01b0 sau: N\u1ebfu a < b v\u00e0 b < c th\u00ec a < c.<\/p>\n\n\n\n
K\u00fd hi\u1ec7u th\u1ee9 t\u1ef1 trong t\u1eadp s\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n\n\n\n
Ph\u1ea7n t\u1eed. T\u1eadp con<\/p>\n\n\n\n
Trong t\u1eadp h\u1ee3p s\u1ed1 t\u1ef1 nhi\u00ean, ta c\u00f3:<\/p>\n\n\n\n
0 l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean nh\u1ecf nh\u1ea5t.<\/p>\n\n\n\n
Kh\u00f4ng c\u00f3 s\u1ed1 t\u1ef1 nhi\u00ean l\u1edbn nh\u1ea5t.<\/p>\n\n\n\n
T\u1eadp h\u1ee3p s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 v\u00f4 s\u1ed1 ph\u1ea7n t\u1eed.<\/p>\n\n\n\n
T\u1eadp h\u1ee3p s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 v\u00f4 s\u1ed1 t\u1eadp con.<\/p>\n\n\n\n
Xem th\u00eam : H\u1ecdc gi\u1ecfi to\u00e1n l\u1edbp 6 : T\u1eadp h\u1ee3p \u2013 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p<\/p><\/blockquote>\n\n\n\n
Gi\u1ea3i b\u00e0i t\u1eadp s\u00e1ch gi\u00e1o khoa to\u00e1n l\u1edbp 6.<\/p>\n\n\n\n
B\u00e0i 2 (trang 7\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 2 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean (trang 7\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 6 (trang 7\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 6 (trang 7\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 7 (trang 8\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 7 (trang 8\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 8 (trang 8\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 8 (trang 8\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 9 (trang 8\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 9 (trang 8\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 10 (trang 8\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i 10 (trang 8\/ s\u00e1ch gi\u00e1o khoa to\u00e1n 6, t\u1eadp 1)<\/p>\n\n\n\n
B\u00e0i t\u1eadp luy\u1ec7n t\u1eadp th\u00eam<\/p>\n\n\n\n
B\u00e0i 1: Vi\u1ebft c\u00e1c t\u1eadp h\u1ee3p sau b\u1eb1ng c\u00e1ch li\u1ec7t k\u00ea c\u00e1c ph\u1ea7n t\u1eed:<\/p>\n\n\n\n
A = {x \u20ac \u2115\u25022 < x < 7}<\/p>\n\n\n\n
B = {x \u20ac \u2115\u2502X > 5}<\/p>\n\n\n\n
C = {x \u20ac N \u250210 \u2264 x \u2264 14}<\/p>\n\n\n\n
\u0110\u00e1p \u00e1n:<\/p>\n\n\n\n
A = {3, 4, 5, 6}<\/p>\n\n\n\n
B = {5, 6, 7, 8, 9,\u2026}<\/p>\n\n\n\n
C = {10, 11, 12, 13, 14}<\/p>\n\n\n\n
B\u00e0i 2: Vi\u1ebft s\u1ed1 t\u1ef1 nhi\u00ean li\u1ec1n sau m\u1ed7i s\u1ed1: 25; 49; 120<\/p>\n\n\n\n
\u0110\u00e1p \u00e1n: \u201c- S\u1ed1 t\u1ef1 nhi\u00ean li\u1ec1n sau c\u1ee7a 25 l\u00e0 26<\/p>\n\n\n\n
\u2013 S\u1ed1 t\u1ef1 nhi\u00ean li\u1ec1n sau c\u1ee7a 49 l\u00e0 50<\/p>\n\n\n\n
\u2013 S\u1ed1 t\u1ef1 nhi\u00ean li\u1ec1n sau c\u1ee7a 120 l\u00e0 121\u2033<\/p>\n\n\n\n
Gi\u00fap con chinh ph\u1ee5c s\u1ed1 h\u1ecdc l\u1edbp 6<\/p>\n\n\n\n
L\u1edbp 6 l\u00e0 kho\u1ea3ng th\u1eddi gian chuy\u1ec3n c\u1ea5p t\u1eeb \u201ctr\u1ebb con\u201d sang \u201cng\u01b0\u1eddi l\u1edbn\u201d c\u1ee7a tr\u1ebb. \u1ede th\u1eddi \u0111i\u1ec3m n\u00e0y, kh\u00f4ng nh\u1eefng tr\u1ebb c\u00f3 nhi\u1ec1u thay \u0111\u1ed5i v\u1ec1 sinh l\u00fd v\u00ed d\u1ee5 nh\u01b0 qu\u00e1 tr\u00ecnh d\u1ea1y th\u00ec. Tr\u1ebb c\u00f2n xu\u1ea5t hi\u1ec7n thay \u0111\u1ed5i v\u1ec1 t\u00e2m l\u00fd, t\u00ecnh c\u1ea3m. C\u00e1i t\u00f4i c\u1ee7a tr\u1ebb trong kho\u1ea3ng th\u1eddi gian n\u00e0y \u0111ang t\u1eeb t\u1eeb \u0111\u1ecbnh h\u00ecnh. V\u00e0 tr\u1ebb b\u1eaft \u0111\u1ea7u x\u00e1c l\u1eadp v\u1ecb tr\u00ed c\u1ee7a m\u00ecnh trong \u0111\u1eddi s\u1ed1ng x\u00e3 h\u1ed9i. V\u1edbi nh\u1eefng thay \u0111\u1ed5i \u0111\u00e1ng k\u1ec3 v\u1ec1 t\u00e2m sinh l\u00fd.<\/p>\n\n\n\n
L\u1edbp 6 c\u00f2n \u0111\u01b0\u1ee3c xem l\u00e0 \u0111o\u1ea1n \u0111\u01b0\u1eddng \u0111\u1ec3 tr\u1ebb chu\u1ea9n b\u1ecb. Gi\u00e1o d\u1ee5c tr\u1ebb t\u1ed1t trong th\u1eddi \u0111i\u1ec3m n\u00e0y s\u1ebd l\u00e0 b\u01b0\u1edbc \u0111\u1ec7m tuy\u1ec7t v\u1eddi \u0111\u1ec3 tr\u1ebb c\u00f3 c\u01a1 h\u00f4i t\u0103ng t\u1ed1c trong t\u01b0\u01a1ng lai. M\u1eddi ba m\u1eb9 v\u00e0 c\u00e1c con t\u00ecm hi\u1ec3u th\u00eam v\u1ec1 \u0111\u1ed9 tu\u1ed5i n\u00e0y t\u1ea1i b\u00e0i vi\u1ebft H\u1ecdc t\u1ed1t t\u1eeb l\u1edbp 6 \u2013 B\u01b0\u1edbc \u0111\u1ec7m \u0111\u1ec3 tr\u1ebb l\u1ea5y \u0111\u00e0 ch\u1ea1y t\u1edbi t\u01b0\u01a1ng lai nh\u00e9!<\/p>\n\n\n\n
Kho t\u00e0i li\u1ec7u h\u1ecdc t\u1eadp<\/a> Mi\u1ec5n Ph\u00ed \u2013 Vietlearn<\/p>\n\n\n\n
L\u1eddi k\u1ebft<\/p>\n\n\n\n
C\u00f9ng v\u1edbi nh\u1eefng s\u1ef1 thay \u0111\u1ed5i l\u1edbn khi chuy\u1ec3n sang m\u1ed9t c\u1ea5p h\u1ecdc m\u1edbi. Con c\u00f2n c\u1ea7n \u0111\u1ed1i m\u1eb7t v\u1edbi nh\u1eefng kh\u00f3 kh\u0103n trong c\u00e1c m\u00f4n h\u1ecdc \u1edf tr\u01b0\u1eddng. Vietlearn mong r\u1eb1ng b\u00e0i vi\u1ebft n\u00e0y c\u00f3 th\u1ec3 h\u1ed7 tr\u1ee3 c\u00e1c con trong vi\u1ec7c \u00f4n luy\u1ec7n v\u00e0 r\u00e8n c\u00e1c k\u1ef9 n\u0103ng<\/a> l\u00e0m b\u00e0i t\u1eadp. Ch\u00fac c\u00e1c con h\u1ecdc gi\u1ecfi, g\u1eb7t h\u00e1i \u0111\u01b0\u1ee3c nhi\u1ec1u th\u00e0nh c\u00f4ng \u1edf m\u00f4i tr\u01b0\u1eddng m\u1edbi!<\/p>\n\n\n\n
<\/p>\n\n\n\n
S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a m\u1ed9t t\u1eadp h\u1ee3p. T\u1eadp h\u1ee3p con \u2013 B\u00e0i t\u1eadp to\u00e1n l\u1edbp 6<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"
Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean v\u1edbi v\u00f4 v\u00e0n \u0111i\u1ec1u th\u00fa v\u1ecb. B\u00e9 \u0111\u00e3 bi\u1ebft h\u1ebft ch\u01b0a? H\u00e3y \u0111i t\u00ecm b\u00ed m\u1eadt c\u1ee7a c\u00e1c con s\u1ed1 v\u1edbi m\u00f4n to\u00e1n h\u1ecdc \u2013 s\u1ed1 h\u1ecdc l\u1edbp 6: T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean. Kh\u00e1m ph\u00e1 th\u00fa v\u1ecb v\u1ec1 t\u1eadp h\u1ee3p c\u00e1c […]<\/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":[4],"tags":[],"class_list":["post-2585","post","type-post","status-publish","format-standard","hentry","category-trung-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/2585","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=2585"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/2585\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=2585"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=2585"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=2585"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}