https://dashboard.mempawahkab.go.id/wp-content/plugins/ https://www.kungfuology.com/mt-static/ https://pgsd.fkip.unsulbar.ac.id/wp-content/server/https://www.kungfuology.com/home/plugins/ https://land.ubiz.ua/assets/img/ https://sentraki.polimarin.ac.id/js/slot-dana/ https://qml.cvc.uab.es/responsivl/slot-gacor/ https://sentraki.polimarin.ac.id/public/js/ https://fh.uki.ac.id/nul/slot-pulsa/ https://ncc.potensi-utama.ac.id/wp-content/plugins/ https://pgsd.fkip.unsulbar.ac.id/wp-includes/qris/ https://aktasidangmd.gkjw.or.id/aset/css/ https://simpenmas.untirta.ac.id/plugins/slot-dana/
{"id":21027,"date":"2018-03-13T21:23:38","date_gmt":"2018-03-13T14:23:38","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=21027"},"modified":"2018-03-13T21:23:38","modified_gmt":"2018-03-13T14:23:38","slug":"giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/","title":{"rendered":"Gi\u1ea3i t\u00edch – Ch\u01b0\u01a1ng 3 – B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc"},"content":{"rendered":"

B\u00e0i 1 (trang 121 SGK Gi\u1ea3i t\u00edch 12):\u00a0T\u00ednh di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi c\u00e1c \u0111\u01b0\u1eddng:<\/strong><\/span><\/p>\n

a) y = x2<\/sup>;y = x + 2<\/strong><\/span><\/p>\n

b) y =|lnx|;y = 1<\/strong><\/span><\/p>\n

c) y = (x-6)2<\/sup>;y = 6x-x2<\/sup><\/strong><\/span><\/p>\n

L\u1eddi gi\u1ea3i:<\/b><\/p>\n

a) Gi\u1ea3 s\u1eed \u0111\u01b0\u1eddng th\u1eb3ng y = x+2 c\u1eaft parabol y = x2<\/sup>\u00a0t\u1ea1i A v\u00e0 B.<\/p>\n

xA<\/sub>, xB<\/sub>\u00a0l\u00e0 c\u00e1c nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh:<\/p>\n

x2<\/sup>\u00a0= x+2 \u21d4 x2<\/sup>\u00a0– x – 2 = 0<\/p>\n

\u21d4 x = -1; x = 2<\/p>\n

X\u00e9t h\u00e0m f(x) = x2<\/sup>\u00a0– x – 2, f\u2019(x) = 2x – 1 = 0 \u21d4 x = 1\/2<\/p>\n

\"\"<\/p>\n

Theo b\u1ea3ng bi\u1ebfn thi\u00ean ta c\u00f3: tr\u00ean \u0111o\u1ea1n [-1;2] th\u00ec x2<\/sup>\u00a0– x – 2 < 0<\/p>\n

Do \u0111\u00f3: |x2<\/sup>\u00a0– (x + 2)|= -x2<\/sup>\u00a0+ x + 2<\/p>\n

V\u1eady di\u1ec7n t\u00edch c\u1ea7n t\u00ecm l\u00e0:<\/p>\n

\"\"<\/p>\n

b) Ho\u00e0nh \u0111\u1ed9 c\u00e1c giao \u0111i\u1ec3m l\u00e0:<\/p>\n

ln\u2061|x|=1 \u21d4x=1\/e ;x=e<\/p>\n

V\u1eady di\u1ec7n t\u00edch c\u1ea7n t\u00ecm l\u00e0:<\/p>\n

\"\"<\/p>\n

c) Ho\u00e0nh \u0111\u1ed9 giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u1ed3 th\u1ecb l\u00e0:<\/p>\n

(x-6)2<\/sup>=6x-x2<\/sup><\/p>\n

\u21d4 (x-6)(2x-6)=0<\/p>\n

\u21d4x=3 ;x=6<\/p>\n

V\u1eady di\u1ec7n t\u00edch c\u1ea7n t\u00ecm l\u00e0:<\/p>\n

\"\"<\/p>\n

B\u00e0i 2 (trang 121 SGK Gi\u1ea3i t\u00edch 12):\u00a0T\u00ednh di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi \u0111\u01b0\u1eddng cong y = x2<\/sup>+1 , ti\u1ebfp tuy\u1ebfn v\u1edbi \u0111\u01b0\u1eddng n\u00e0y t\u1ea1i \u0111i\u1ec3m M(2; 5) v\u00e0 tr\u1ee5c Oy.<\/strong><\/span><\/p>\n

L\u1eddi gi\u1ea3i:<\/b><\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn v\u1edbi \u0111\u01b0\u1eddng cong y = x2<\/sup>\u00a0+ 1 t\u1ea1i \u0111i\u1ec3m M(2; 5) l\u00e0 :<\/p>\n

y‘<\/sup>=y‘<\/sup>\u00a0(2)[x – 2] + 5 \u21d4 y = 4x – 3<\/p>\n

\u0110i\u1ec3m M(2; 5) thu\u1ed9c \u0111\u01b0\u1eddng y = x2<\/sup>\u00a0+ 1 v\u00ec 5 = 22<\/sup>\u00a0+ 1<\/p>\n

V\u1eady di\u1ec7n t\u00edch c\u1ea7n t\u00ecm l\u00e0:<\/p>\n

\"\"<\/p>\n

B\u00e0i 3 (trang 121 SGK Gi\u1ea3i t\u00edch 12):\u00a0Parabol y=x2<\/sup>\/2 chia h\u00ecnh tr\u00f2n c\u00f3 t\u00e2m t\u1ea1i g\u1ed9c to\u1ea1 \u0111\u1ed9, b\u00e1n k\u00ednh 2\u221a2 th\u00e0nh hai ph\u1ea7n. T\u00ecm t\u1ec9 s\u1ed1 di\u1ec7n t\u00edch c\u1ee7a ch\u00fang.<\/strong><\/span><\/p>\n

L\u1eddi gi\u1ea3i:<\/b><\/p>\n

\"\" \"\"<\/p>\n

B\u00e0i 4 (trang 121 SGK Gi\u1ea3i t\u00edch 12):\u00a0T\u00ednh th\u1ec3 t\u00edch kh\u1ed1i tr\u00f2n xoay \u0111\u00f3 h\u00ecnh ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi c\u00e1c \u0111\u01b0\u1eddng sau quay quanh Ox:<\/strong><\/span><\/p>\n

\"\"<\/div>\n
L\u1eddi gi\u1ea3i<\/strong><\/div>\n
<\/div>\n
\"\"<\/div>\n
<\/div>\n
\n

B\u00e0i 5 (trang 121 SGK Gi\u1ea3i t\u00edch 12):\u00a0Cho tam gi\u00e1c vu\u00f4ng OPM c\u00f3 c\u1ea1nh OP n\u1eb1m tr\u00ean tr\u1ee5c Ox.<\/strong><\/span><\/p>\n

\"\"<\/p>\n

L\u1eddi gi\u1ea3i<\/strong><\/p>\n

\"\"<\/p>\n

 <\/p>\n<\/div>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

B\u00e0i 1 (trang 121 SGK Gi\u1ea3i t\u00edch 12):\u00a0T\u00ednh di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi c\u00e1c \u0111\u01b0\u1eddng: a) y = x2;y = x + 2 b) y =|lnx|;y = 1 c) y = (x-6)2;y = 6x-x2 L\u1eddi gi\u1ea3i: a) Gi\u1ea3 s\u1eed \u0111\u01b0\u1eddng th\u1eb3ng y = x+2 c\u1eaft parabol y = x2\u00a0t\u1ea1i A v\u00e0 B. xA, […]<\/p>\n","protected":false},"author":3,"featured_media":21028,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[1298],"tags":[1377,1356,1355],"yoast_head":"\nGi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 3 - B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 3 - B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 1 (trang 121 SGK Gi\u1ea3i t\u00edch 12):\u00a0T\u00ednh di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi c\u00e1c \u0111\u01b0\u1eddng: a) y = x2;y = x + 2 b) y =|lnx|;y = 1 c) y = (x-6)2;y = 6x-x2 L\u1eddi gi\u1ea3i: a) Gi\u1ea3 s\u1eed \u0111\u01b0\u1eddng th\u1eb3ng y = x+2 c\u1eaft parabol y = x2\u00a0t\u1ea1i A v\u00e0 B. xA, […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/\" \/>\n<meta property=\"og:site_name\" content=\"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12 l\u1edbn nh\u1ea5t t\u1ea1i Vi\u1ec7t Nam\" \/>\n<meta property=\"article:published_time\" content=\"2018-03-13T14:23:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/bai-1-trang-121-sgk-giai-tich-12-1.png\" \/>\n\t<meta property=\"og:image:width\" content=\"613\" \/>\n\t<meta property=\"og:image:height\" content=\"162\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"H\u00e0 Trang\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"H\u00e0 Trang\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/\",\"url\":\"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/\",\"name\":\"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 3 - B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-03-13T14:23:38+00:00\",\"dateModified\":\"2018-03-13T14:23:38+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lop12.edu.vn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Gi\u1ea3i t\u00edch – Ch\u01b0\u01a1ng 3 – B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/lop12.edu.vn\/#website\",\"url\":\"https:\/\/lop12.edu.vn\/\",\"name\":\"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/lop12.edu.vn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\",\"name\":\"H\u00e0 Trang\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g\",\"caption\":\"H\u00e0 Trang\"},\"url\":\"https:\/\/lop12.edu.vn\/author\/trangvth2\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 3 - B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/","og_locale":"en_US","og_type":"article","og_title":"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 3 - B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc","og_description":"B\u00e0i 1 (trang 121 SGK Gi\u1ea3i t\u00edch 12):\u00a0T\u00ednh di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi c\u00e1c \u0111\u01b0\u1eddng: a) y = x2;y = x + 2 b) y =|lnx|;y = 1 c) y = (x-6)2;y = 6x-x2 L\u1eddi gi\u1ea3i: a) Gi\u1ea3 s\u1eed \u0111\u01b0\u1eddng th\u1eb3ng y = x+2 c\u1eaft parabol y = x2\u00a0t\u1ea1i A v\u00e0 B. xA, […]","og_url":"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/","og_site_name":"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12 l\u1edbn nh\u1ea5t t\u1ea1i Vi\u1ec7t Nam","article_published_time":"2018-03-13T14:23:38+00:00","og_image":[{"width":613,"height":162,"url":"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/bai-1-trang-121-sgk-giai-tich-12-1.png","type":"image\/png"}],"author":"H\u00e0 Trang","twitter_card":"summary_large_image","twitter_misc":{"Written by":"H\u00e0 Trang","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/","url":"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/","name":"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 3 - B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc","isPartOf":{"@id":"https:\/\/lop12.edu.vn\/#website"},"datePublished":"2018-03-13T14:23:38+00:00","dateModified":"2018-03-13T14:23:38+00:00","author":{"@id":"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45"},"breadcrumb":{"@id":"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/lop12.edu.vn\/giai-tich-chuong-3-bai-3-ung-dung-cua-tich-phan-trong-hinh-hoc\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/lop12.edu.vn\/"},{"@type":"ListItem","position":2,"name":"Gi\u1ea3i t\u00edch – Ch\u01b0\u01a1ng 3 – B\u00e0i 3 : \u1ee8ng d\u1ee5ng c\u1ee7a t\u00edch ph\u00e2n trong h\u00ecnh h\u1ecdc"}]},{"@type":"WebSite","@id":"https:\/\/lop12.edu.vn\/#website","url":"https:\/\/lop12.edu.vn\/","name":"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/lop12.edu.vn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45","name":"H\u00e0 Trang","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/lop12.edu.vn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g","caption":"H\u00e0 Trang"},"url":"https:\/\/lop12.edu.vn\/author\/trangvth2\/"}]}},"_links":{"self":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/21027"}],"collection":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/comments?post=21027"}],"version-history":[{"count":1,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/21027\/revisions"}],"predecessor-version":[{"id":21039,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/21027\/revisions\/21039"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/media\/21028"}],"wp:attachment":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/media?parent=21027"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/categories?post=21027"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/tags?post=21027"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}