{"id":21783,"date":"2021-12-17T16:33:03","date_gmt":"2021-12-17T09:33:03","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=21783"},"modified":"2021-12-17T16:33:04","modified_gmt":"2021-12-17T09:33:04","slug":"ham-so-lien-tuc","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/ham-so-lien-tuc\/","title":{"rendered":"H\u00c0M S\u1ed0 LI\u00caN T\u1ee4C"},"content":{"rendered":"

<\/a><\/a>A \u2013 L\u00dd THUY\u1ebeT V\u00c0 PH\u01af\u01a0NG PH\u00c1P<\/strong><\/h1>\n\n\n\n
1. H\u00e0m s\u1ed1 li\u00ean t\u1ee5c t\u1ea1i m\u1ed9t \u0111i\u1ec3m:<\/strong> y = f(x) li\u00ean t\u1ee5c t\u1ea1i x0<\/sub>\u00a0\u00db\u00a0 \"IMG_256\"<\/p>\n

\u00b7 \u0110\u1ec3 x\u00e9t t\u00ednh li\u00ean t\u1ee5c c\u1ee7a h\u00e0m s\u1ed1 y = f(x) t\u1ea1i \u0111i\u1ec3m x0<\/sub> ta th\u1ef1c hi\u1ec7n c\u00e1c b\u01b0\u1edbc:<\/p>\n

B1: T\u00ednh f(x0<\/sub>).<\/p>\n

B2: T\u00ednh \"IMG_257\" \u00a0(trong nhi\u1ec1u tr\u01b0\u1eddng h\u1ee3p ta c\u1ea7n t\u00ednh \"IMG_258\" , \"IMG_259\" )<\/p>\n

B3: So s\u00e1nh \"IMG_260\" \u00a0v\u1edbi f(x0<\/sub>) v\u00e0 r\u00fat ra k\u1ebft lu\u1eadn.<\/p>\n

2. H\u00e0m s\u1ed1 li\u00ean t\u1ee5c tr\u00ean m\u1ed9t kho\u1ea3ng:<\/strong> y = f(x) li\u00ean t\u1ee5c t\u1ea1i m\u1ecdi \u0111i\u1ec3m thu\u1ed9c kho\u1ea3ng \u0111\u00f3.<\/p>\n

3. H\u00e0m s\u1ed1 li\u00ean t\u1ee5c tr\u00ean m\u1ed9t \u0111o\u1ea1n [a; b]<\/strong>: y = f(x) li\u00ean t\u1ee5c tr\u00ean (a; b) v\u00e0<\/p>\n

\"IMG_261\"<\/strong><\/p>\n

\u00b7 H\u00e0m s\u1ed1 \u0111a th\u1ee9c li\u00ean t\u1ee5c tr\u00ean R.<\/p>\n

\u00b7 H\u00e0m s\u1ed1 ph\u00e2n th\u1ee9c, c\u00e1c h\u00e0m s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c li\u00ean t\u1ee5c tr\u00ean t\u1eebng kho\u1ea3ng x\u00e1c \u0111\u1ecbnh c\u1ee7a ch\u00fang.<\/p>\n

Gi\u1ea3 s\u1eed y = f(x), y = g(x) li\u00ean t\u1ee5c t\u1ea1i \u0111i\u1ec3m x0<\/sub>. Khi \u0111\u00f3:<\/p>\n

\u00b7 C\u00e1c h\u00e0m s\u1ed1 y = f(x) + g(x), y = f(x) \u2013 g(x), y = f(x).g(x) li\u00ean t\u1ee5c t\u1ea1i x0<\/sub>.<\/p>\n

\u00b7 H\u00e0m s\u1ed1 y = \"IMG_262\" \u00a0li\u00ean t\u1ee5c t\u1ea1i x0<\/sub> n\u1ebfu g(x0<\/sub>) \u00b9 0.<\/p>\n

4.<\/strong>\u00a0N\u1ebfu y = f(x) li\u00ean t\u1ee5c tr\u00ean [a; b] v\u00e0 f(a). f(b)< 0 th\u00ec t\u1ed3n t\u1ea1i \u00edt nh\u1ea5t m\u1ed9t s\u1ed1 c \u00ce (a; b): f(c) = 0.<\/strong><\/p>\n

N\u00f3i c\u00e1ch kh\u00e1c:<\/strong> N\u1ebfu y = f(x) li\u00ean t\u1ee5c tr\u00ean [a; b] v\u00e0 f(a). f(b)< 0 th\u00ec ph\u01b0\u01a1ng tr\u00ecnh f(x) = 0 c\u00f3 \u00edt nh\u1ea5t m\u1ed9t nghi\u1ec7m c\u00ce (a; b).<\/p>\n

M\u1edf r\u1ed9ng:<\/strong>\u00a0N\u1ebfu y = f(x) li\u00ean t\u1ee5c tr\u00ean [a; b]. \u0110\u1eb7t m = \"IMG_263\" , M = \"IMG_264\" . Khi \u0111\u00f3 v\u1edbi m\u1ecdi T \u00ce (m; M) lu\u00f4n t\u1ed3n t\u1ea1i \u00edt nh\u1ea5t m\u1ed9t s\u1ed1 c \u00ce (a; b): f(c) = T.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/a>B \u2013 B\u00c0I T\u1eacP<\/strong><\/h1>\n

<\/a>D\u1ea0NG 1: T\u00cdNH LI\u00caN T\u1ee4C C\u1ee6A H\u00c0M S\u1ed0 T\u1ea0I M\u1ed8T \u0110I\u1ec2M<\/strong><\/h2>\n

Ph\u01b0\u01a1ng ph\u00e1p:<\/strong><\/p>\n

\"IMG_265\" T\u00ecm gi\u1edbi h\u1ea1n c\u1ee7a h\u00e0m s\u1ed1 \"IMG_266\" khi \"IMG_267\" v\u00e0 t\u00ednh \"IMG_268\"<\/p>\n

\"IMG_269\" N\u1ebfu t\u1ed3n t\u1ea1i \"IMG_270\" th\u00ec ta so s\u00e1nh \"IMG_271\" v\u1edbi \"IMG_272\" .<\/p>\n

Ch\u00fa \u00fd:<\/strong><\/p>\n

1.<\/strong> N\u1ebfu h\u00e0m s\u1ed1 li\u00ean t\u1ee5c t\u1ea1i \"IMG_273\" th\u00ec tr\u01b0\u1edbc h\u1ebft h\u00e0m s\u1ed1 ph\u1ea3i x\u00e1c \u0111\u1ecbnh t\u1ea1i \u0111i\u1ec3m \u0111\u00f3<\/p>\n

2. <\/strong> \"IMG_274\" .<\/p>\n

3.<\/strong> H\u00e0m s\u1ed1 \"IMG_275\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_276\" .<\/p>\n

4.<\/strong> H\u00e0m s\u1ed1 \"IMG_277\" li\u00ean t\u1ee5c t\u1ea1i \u0111i\u1ec3m \"IMG_278\" khi v\u00e0 ch\u1ec9 khi \"IMG_279\" .<\/p>\n

Ch\u00fa \u00fd:<\/strong><\/p>\n

\"IMG_280\" H\u00e0m s\u1ed1 \"IMG_281\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_282\" khi v\u00e0 ch\u1ec9 khi<\/p>\n

\"IMG_283\" .<\/p>\n

\"IMG_284\" H\u00e0m s\u1ed1 \"IMG_285\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_286\" khi v\u00e0 ch\u1ec9 khi<\/p>\n

\"IMG_287\" .<\/p>\n

C\u00e2u 1. <\/strong> Cho h\u00e0m s\u1ed1 \"IMG_288\" v\u00e0 \"IMG_289\" v\u1edbi \"IMG_290\" . Gi\u00e1 tr\u1ecb c\u1ee7a \"IMG_291\" \u0111\u1ec3 \"IMG_292\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_293\" l\u00e0:<\/p>\n

A. <\/strong> \"IMG_294\" . B. <\/strong> \"IMG_295\" . C. <\/strong> \"IMG_296\" . D. <\/strong> \"IMG_297\"<\/p>\n

C\u00e2u 2. <\/strong>Cho h\u00e0m s\u1ed1 \"IMG_298\" . Ch\u1ecdn c\u00e2u \u0111\u00fang <\/strong>trong c\u00e1c c\u00e2u sau:<\/p>\n

(I) \"IMG_299\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_300\" .<\/p>\n

(II) \"IMG_301\" gi\u00e1n \u0111o\u1ea1n t\u1ea1i \"IMG_302\" .<\/p>\n

(III) \"IMG_303\" li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n \"IMG_304\" .<\/p>\n

A. <\/strong>Ch\u1ec9 \"IMG_305\" v\u00e0 \"IMG_306\" . B. <\/strong>Ch\u1ec9 \"IMG_307\" . C. <\/strong>Ch\u1ec9 \"IMG_308\" . D. <\/strong>Ch\u1ec9 \"IMG_309\" v\u00e0 \"IMG_310\"<\/p>\n

C\u00e2u 3. <\/strong>Cho h\u00e0m s\u1ed1 \"IMG_311\" . T\u00ecm \"IMG_312\" \u0111\u1ec3 \"IMG_313\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_314\" .<\/p>\n

A. <\/strong> \"IMG_315\" . B. <\/strong> \"IMG_316\" . C. <\/strong> \"IMG_317\" . D. <\/strong> \"IMG_318\"<\/p>\n

C\u00e2u 4. <\/strong>Cho h\u00e0m s\u1ed1 \"IMG_319\" . T\u00ecm kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang<\/strong> trong c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/p>\n

\"IMG_320\" \"IMG_321\" gi\u00e1n \u0111o\u1ea1n t\u1ea1i \"IMG_322\"<\/p>\n

\"IMG_323\" \"IMG_324\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_325\"<\/p>\n

\"IMG_326\" \"IMG_327\"<\/p>\n

A. <\/strong>Ch\u1ec9 \"IMG_328\" . B. <\/strong>Ch\u1ec9 \"IMG_329\" . C. <\/strong>Ch\u1ec9 \"IMG_330\" v\u00e0 \"IMG_331\" . D. <\/strong>Ch\u1ec9 \"IMG_332\" v\u00e0 \"IMG_333\"<\/p>\n

C\u00e2u 5. <\/strong>Cho h\u00e0m s\u1ed1 \"IMG_334\" . T\u00ecm kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang<\/strong> trong c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/p>\n

\"IMG_335\" \"IMG_336\" .<\/p>\n

\"IMG_337\" \"IMG_338\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_339\"<\/p>\n

\"IMG_340\" \"IMG_341\" gi\u00e1n \u0111o\u1ea1n t\u1ea1i \"IMG_342\"<\/p>\n

A. <\/strong>Ch\u1ec9 \"IMG_343\" v\u00e0 \"IMG_344\" . B. <\/strong>Ch\u1ec9 \"IMG_345\" v\u00e0 \"IMG_346\" . C. <\/strong>Ch\u1ec9 \"IMG_347\" . D. <\/strong>Ch\u1ec9 \"IMG_348\"<\/p>\n

C\u00e2u 6. <\/strong>Cho h\u00e0m s\u1ed1 \"IMG_349\" . T\u00ecm kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang<\/strong> trong c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:.<\/p>\n

\"IMG_350\" \"IMG_351\" kh\u00f4ng x\u00e1c \u0111\u1ecbnh t\u1ea1i \"IMG_352\"<\/p>\n

\"IMG_353\" \"IMG_354\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_355\"<\/p>\n

\"IMG_356\" \"IMG_357\"<\/p>\n

A. <\/strong>Ch\u1ec9 \"IMG_358\" . B. <\/strong>Ch\u1ec9 \"IMG_359\" v\u00e0 \"IMG_360\" .<\/p>\n

C. <\/strong>Ch\u1ec9 \"IMG_361\" v\u00e0 \"IMG_362\" . D. <\/strong>C\u1ea3 \"IMG_363\" \u0111\u1ec1u sai.<\/p>\n

C\u00e2u 7. <\/strong>Cho h\u00e0m s\u1ed1 \"IMG_364\" . T\u00ecm \"IMG_365\" \u0111\u1ec3 \"IMG_366\" li\u00ean t\u1ee5c t\u1ea1i \"IMG_367\"<\/p>\n

A. <\/strong> \"IMG_368\" . B. <\/strong> \"IMG_369\" . C. <\/strong> \"IMG_370\" . D. <\/strong> \"IMG_371\"<\/p>\n

C\u00e2u 8.<\/strong>Cho h\u00e0m s\u1ed1 \"IMG_372\" . T\u00ecm \"IMG_373\" \u0111\u1ec3 \"IMG_374\" gi\u00e1n \u0111o\u1ea1n t\u1ea1i \"IMG_375\" .<\/p>\n

A. <\/strong> \"IMG_376\" . B. <\/strong> \"IMG_377\" . C. <\/strong> \"IMG_378\" . D. <\/strong> \"IMG_379\" .<\/p>\n

C\u00e2u 9.<\/strong>Cho h\u00e0m s\u1ed1 \"IMG_380\" . Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang nh\u1ea5t<\/p>\n

A. <\/strong>H\u00e0m s\u1ed1 li\u00ean t\u1ee5c t\u1ea1i \"IMG_381\"<\/p>\n

B. <\/strong>H\u00e0m s\u1ed1 li\u00ean t\u1ee5c t\u1ea1i m\u1ecdi \u0111i\u1ec3m tr\u00ean t\u1eadp x\u00e1c \u0111\u1ecbnh nh\u01b0ng gi\u00e1n \u0111o\u1ea1n t\u1ea1i \"IMG_382\"<\/p>\n

C. <\/strong>H\u00e0m s\u1ed1 kh\u00f4ng li\u00ean t\u1ee5c t\u1ea1i \"IMG_383\"<\/p>\n

D. <\/strong>T\u1ea5t c\u1ea3 \u0111\u1ec1u sai<\/p>\n

C\u00e2u 10. <\/strong>Cho h\u00e0m s\u1ed1 \"IMG_384\" . Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang nh\u1ea5t<\/p>\n

A. <\/strong>H\u00e0m s\u1ed1 li\u00ean t\u1ee5c t\u1ea1i \"IMG_385\"<\/p>\n

B. <\/strong>H\u00e0m s\u1ed1 li\u00ean t\u1ee5c t\u1ea1i m\u1ecdi \u0111i\u1ec3m<\/p>\n

C. <\/strong>H\u00e0m s\u1ed1 kh\u00f4ng li\u00ean t\u1ee5c t\u1ea1i \"IMG_386\"<\/p>\n

D. <\/strong>T\u1ea5t c\u1ea3 \u0111\u1ec1u sai<\/p>\n","protected":false},"excerpt":{"rendered":"

A \u2013 L\u00dd THUY\u1ebeT V\u00c0 PH\u01af\u01a0NG PH\u00c1P 1. H\u00e0m s\u1ed1 li\u00ean t\u1ee5c t\u1ea1i m\u1ed9t \u0111i\u1ec3m: y = f(x) li\u00ean t\u1ee5c t\u1ea1i x0\u00a0\u00db\u00a0 \u00b7 \u0110\u1ec3 x\u00e9t t\u00ednh li\u00ean t\u1ee5c c\u1ee7a h\u00e0m s\u1ed1 y = f(x) t\u1ea1i \u0111i\u1ec3m x0 ta th\u1ef1c hi\u1ec7n c\u00e1c b\u01b0\u1edbc: B1: T\u00ednh f(x0). B2: T\u00ednh \u00a0(trong nhi\u1ec1u tr\u01b0\u1eddng h\u1ee3p ta c\u1ea7n t\u00ednh , […]<\/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":[42],"tags":[],"class_list":["post-21783","post","type-post","status-publish","format-standard","hentry","category-toan-lop-11"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/21783","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=21783"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/21783\/revisions"}],"predecessor-version":[{"id":21915,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/21783\/revisions\/21915"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=21783"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=21783"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=21783"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}