{"id":2298,"date":"2026-04-25T02:40:27","date_gmt":"2026-04-25T02:40:27","guid":{"rendered":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-ung-dung-tich-phan-trong-vat-ly\/"},"modified":"2026-04-25T02:40:27","modified_gmt":"2026-04-25T02:40:27","slug":"toan-thuc-te-ung-dung-tich-phan-trong-vat-ly","status":"publish","type":"post","link":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-ung-dung-tich-phan-trong-vat-ly\/","title":{"rendered":"To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n trong v\u1eadt l\u00fd"},"content":{"rendered":"<div class=\"entry-content single-page\">\n<p>Chia s\u1ebb t\u00e0i li\u1ec7u to\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n trong v\u1eadt l\u00fd nh\u01b0 t\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng, T\u00ednh c\u00f4ng sinh ra, B\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn t\u1ed1c \u0111\u1ed9 sinh l\u1eddi nhu\u1eadn, s\u1ed1 l\u01b0\u1ee3ng vi khu\u1ea9n, nhi\u1ec7t \u0111\u1ed9 trung b\u00ecnh, m\u1ef1c n\u01b0\u1edbc trong b\u1ed3n;\u2026<\/p>\n<div class=\"code-block code-block-2\" style=\"margin: 8px auto; text-align: center; display: block; clear: both;\">\n<div> <\/div>\n<\/div>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-498041bed265764538c8b51edf5417ab\" id=\"h-n\u1ed9i-dung-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-\u1ee9ng-d\u1ee5ng-tich-phan-trong-v\u1eadt-ly\"><span class=\"ez-toc-section\" id=\"Noi_dung_tai_lieu_Toan_thuc_te_chuyen_de_Ung_dung_tich_phan_trong_vat_ly\"><\/span>N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n trong v\u1eadt l\u00fd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>C\u00e1c n\u1ed9i dung ch\u00ednh bao g\u1ed3m:<\/p>\n<h3 class=\"wp-block-heading\" id=\"h-a-ki\u1ebfn-th\u1ee9c-c\u01a1-b\u1ea3n-c\u1ea7n-n\u1eafm\"><span class=\"ez-toc-section\" id=\"A_Kien_thuc_co_ban_can_nam\"><\/span><strong>A. Ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n c\u1ea7n n\u1eafm:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul class=\"wp-block-list\">\n<li><strong>Qu\u00e3ng \u0111\u01b0\u1eddng:<\/strong>\u00a0Qu\u00e3ng \u0111\u01b0\u1eddng ch\u1ea5t \u0111i\u1ec3m chuy\u1ec3n \u0111\u1ed9ng tr\u00ean tr\u1ee5c Ox t\u1eeb th\u1eddi \u0111i\u1ec3m t1 \u0111\u1ebfn t2<\/li>\n<li><strong>\u0110i\u1ec7n t\u00edch:<\/strong>\u00a0\u0110i\u1ec7n t\u00edch gt l\u00e0 nguy\u00ean h\u00e0m c\u1ee7a c\u01b0\u1eddng \u0111\u1ed9 d\u00f2ng \u0111i\u1ec7n i t\u1ea1i th\u1eddi \u0111i\u1ec3mt (s)<\/li>\n<li><strong>C\u00f4ng sinh ra b\u1edfi l\u1ef1c bi\u1ebfn thi\u00ean:<\/strong>\u00a0N\u1ebfu l\u1ef1c l\u00e0 m\u1ed9t gi\u00e1 tr\u1ecb bi\u1ebfn thi\u00ean (nh\u01b0 n\u00e9n l\u00f2 xo) v\u00e0 \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1edfi h\u00e0m F(x) th\u00ec c\u00f4ng sinh ra theo tr\u1ee5c Ox t\u1eeb a t\u1edbi b l\u00e0 A=\\int_{a}^{b}F(x)dx<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\" id=\"h-b-cac-d\u1ea1ng-bai-t\u1eadp\"><span class=\"ez-toc-section\" id=\"B_Cac_dang_bai_tap\"><\/span><strong>B. C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>G\u1ed3m 51 c\u00e2u h\u1ecfi\/b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng (t\u1eeb C\u00e2u 1 \u0111\u1ebfn C\u00e2u 51) li\u00ean quan \u0111\u1ebfn \u1ee9ng d\u1ee5ng c\u1ee7a T\u00edch ph\u00e2n v\u00e0 Nguy\u00ean h\u00e0m trong c\u00e1c b\u00e0i to\u00e1n V\u1eadt l\u00fd v\u00e0 Th\u1ef1c t\u1ebf, bao g\u1ed3m:<\/p>\n<ul class=\"wp-block-list\">\n<li>T\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng (d\u1ef1a tr\u00ean h\u00e0m v\u1eadn t\u1ed1c).<\/li>\n<li>T\u00ednh c\u00f4ng sinh ra (do l\u1ef1c bi\u1ebfn thi\u00ean, n\u00e9n\/k\u00e9o l\u00f2 xo, l\u1ef1c \u0111i\u1ec7n).<\/li>\n<li>B\u00e0i to\u00e1n v\u1ec1 chuy\u1ec3n \u0111\u1ed9ng (nhanh d\u1ea7n \u0111\u1ec1u, ch\u1eadm d\u1ea7n \u0111\u1ec1u, t\u00ecm th\u1eddi \u0111i\u1ec3m g\u1eb7p nhau).<\/li>\n<li>B\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn t\u1ed1c \u0111\u1ed9 sinh l\u1eddi nhu\u1eadn, s\u1ed1 l\u01b0\u1ee3ng vi khu\u1ea9n, nhi\u1ec7t \u0111\u1ed9 trung b\u00ecnh, m\u1ef1c n\u01b0\u1edbc trong b\u1ed3n.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><strong>Xem tr\u01b0\u1edbc t\u00e0i li\u1ec7u:<\/strong><\/p>\n<p class=\"has-text-align-center\"><iframe loading=\"lazy\" allow=\"autoplay\" height=\"480\" src=\"https:\/\/drive.google.com\/file\/d\/1EjSaDFtmo2dQA_H9zDGO3LEgNlQVqMuw\/preview\" width=\"640\"><\/iframe><\/p>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-e4d741d0dabebaec9ddb4aa22d7f45d9\" id=\"h-t\u1ea3i-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-\u1ee9ng-d\u1ee5ng-tich-phan-trong-v\u1eadt-ly\"><span class=\"ez-toc-section\" id=\"Tai_tai_lieu_Toan_thuc_te_chuyen_de_Ung_dung_tich_phan_trong_vat_ly\"><\/span>T\u1ea3i t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n trong v\u1eadt l\u00fd<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>C\u00e1c b\u1ea1n c\u00f3 th\u1ec3 t\u1ea3i t\u00e0i li\u1ec7u \u00f4n t\u1eadp mi\u1ec5n ph\u00ed \u1edf \u0111\u00e2y nh\u00e9<\/p>\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-luminous-vivid-orange-background-color has-text-color has-background has-link-color has-text-align-center wp-element-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1jiQvcuv0wA-ldMZUkLktKSA2LWw4dqWW?usp=sharing\" rel=\"noreferrer noopener nofollow\" target=\"_blank\"><strong>T\u1ea2I T\u00c0I LI\u1ec6U (\u0110\u1ec0 + \u0110\u00c1P \u00c1N)<\/strong><\/a><\/div>\n<\/div>\n<p>Tham kh\u1ea3o:<strong><a href=\"https:\/\/tailieuonthi.org\/toan-thuc-te-chuyen-de-gia-tri-lon-nhat-nho-nhat-ham-so\/\" rel=\"noreferrer noopener\" target=\"_blank\"> <\/a><a href=\"https:\/\/tailieuonthi.org\/toan-thuc-te-chuyen-de-ung-dung-nguyen-ham\/\" rel=\"noreferrer noopener\" target=\"_blank\">To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee9ng d\u1ee5ng nguy\u00ean h\u00e0m<\/a><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Chia s\u1ebb t\u00e0i li\u1ec7u to\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n trong v\u1eadt l\u00fd nh\u01b0 t\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng, T\u00ednh c\u00f4ng sinh ra, B\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn t\u1ed1c \u0111\u1ed9 sinh l\u1eddi nhu\u1eadn, s\u1ed1 l\u01b0\u1ee3ng vi khu\u1ea9n, nhi\u1ec7t \u0111\u1ed9 trung b\u00ecnh, m\u1ef1c n\u01b0\u1edbc trong b\u1ed3n;\u2026 N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 [&#8230;]\n","protected":false},"author":1,"featured_media":2297,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,26],"tags":[],"class_list":["post-2298","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tai-lieu-toan","category-toan-12"],"_links":{"self":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/2298","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/comments?post=2298"}],"version-history":[{"count":0,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/2298\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2297"}],"wp:attachment":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=2298"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=2298"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=2298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}