{"id":2296,"date":"2026-04-25T02:40:18","date_gmt":"2026-04-25T02:40:18","guid":{"rendered":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-chuyen-de-ung-dung-tich-phan-tinh-dien-tich\/"},"modified":"2026-04-25T02:40:18","modified_gmt":"2026-04-25T02:40:18","slug":"toan-thuc-te-chuyen-de-ung-dung-tich-phan-tinh-dien-tich","status":"publish","type":"post","link":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-chuyen-de-ung-dung-tich-phan-tinh-dien-tich\/","title":{"rendered":"To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n t\u00ednh di\u1ec7n t\u00edch"},"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 t\u00ednh di\u1ec7n t\u00edch g\u1ed3m c\u00e1c d\u1ea1ng nh\u01b0 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh Parabol; elip, h\u00ecnh ph\u1ea7n \u0111\u1ea5t, hoa v\u0103n trang tr\u00ed; chi ph\u00ed li\u00ean quan \u0111\u1ebfn di\u1ec7n t\u00edch<\/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-6c610fe47eab80e4d73c128942ef7d06\" id=\"h-n\u1ed9i-dung-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-\u1ee9ng-d\u1ee5ng-tich-phan-tinh-di\u1ec7n-tich\"><span class=\"ez-toc-section\" id=\"Noi_dung_tai_lieu_Toan_thuc_te_chuyen_de_Ung_dung_tich_phan_tinh_dien_tich\"><\/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 t\u00ednh di\u1ec7n t\u00edch<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\"><span class=\"ez-toc-section\" id=\"A_Kien_thuc_co_ban\"><\/span><strong>A. Ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol class=\"wp-block-list\">\n<li><strong>Di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng (H) gi\u1edbi h\u1ea1n b\u1edfi m\u1ed9t \u0111\u01b0\u1eddng cong (C) v\u00e0 tr\u1ee5c ho\u00e0nh:<\/strong>\n<ul class=\"wp-block-list\">\n<li>C\u00f4ng th\u1ee9c: $S=\\int_{a}^{b}|f(x)|dx$<\/li>\n<\/ul>\n<\/li>\n<li><strong>Di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng (H) gi\u1edbi h\u1ea1n b\u1edfi 2 \u0111\u01b0\u1eddng cong:<\/strong>\n<ul class=\"wp-block-list\">\n<li>C\u00f4ng th\u1ee9c: $S=\\int_{a}^{b}|f(x)-g(x)|dx$<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h3 class=\"wp-block-heading\" id=\"h-b-bai-t\u1eadp-v\u1eadn-d\u1ee5ng\"><span class=\"ez-toc-section\" id=\"B_Bai_tap_van_dung\"><\/span><strong>B. B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Tuy\u1ec3n t\u1eadp g\u1ed3m 19 b\u00e0i to\u00e1n \u1ee9ng d\u1ee5ng t\u00edch ph\u00e2n \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch trong c\u00e1c t\u00ecnh hu\u1ed1ng th\u1ef1c t\u1ebf kh\u00e1c nhau, bao g\u1ed3m:<\/p>\n<ul class=\"wp-block-list\">\n<li>T\u00ednh di\u1ec7n t\u00edch c\u00e1c v\u1eadt th\u1ec3 c\u00f3 h\u00ecnh d\u1ea1ng Parabol:\u00a0C\u1ed5ng tr\u01b0\u1eddng, c\u1eeda nh\u00e0, c\u1ed5ng ch\u00e0o, c\u00e1nh hoa trang tr\u00ed (C\u00e2u 1, 3, 4, 8, 9, 16, 17, 18, 19).<\/li>\n<li>T\u00ednh di\u1ec7n t\u00edch c\u00e1c v\u1eadt th\u1ec3 c\u00f3 h\u00ecnh d\u1ea1ng Elip:\u00a0Bi\u1ec3n qu\u1ea3ng c\u00e1o, \u0111\u00e1y b\u1ec3 b\u01a1i, m\u1ea3nh v\u01b0\u1eddn, h\u1ed3 c\u00e1 (C\u00e2u 11, 12, 13, 14, 15).<\/li>\n<li>T\u00ednh di\u1ec7n t\u00edch c\u00e1c ph\u1ea7n \u0111\u1ea5t, hoa v\u0103n trang tr\u00ed:\u00a0Gi\u1edbi h\u1ea1n b\u1edfi \u0111\u01b0\u1eddng cong h\u00ecnh sin, c\u00e1c \u0111\u01b0\u1eddng parabol trong h\u00ecnh ch\u1eef nh\u1eadt, c\u00e1nh hoa h\u00ecnh vu\u00f4ng, d\u1ea3i \u0111\u1ea5t h\u00ecnh tr\u00f2n (C\u00e2u 2, 6, 7, 10).<\/li>\n<li>T\u00ednh chi ph\u00ed li\u00ean quan \u0111\u1ebfn di\u1ec7n t\u00edch:\u00a0Chi ph\u00ed mua hoa trang tr\u00ed, thu\u00ea l\u00e0m c\u1eeda, s\u01a1n qu\u1ea3ng c\u00e1o, l\u00e1t g\u1ea1ch, tr\u1ed3ng c\u1ecf (C\u00e2u 3, 4, 5, 12, 13, 16, 17, 19).<\/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\/1IBwIDAohn9vtdZBVDZchMOZFEyEaAFKn\/preview\" width=\"640\"><\/iframe><\/p>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-57ab3815cad4e7ce42e80f9add7492d7\" id=\"h-t\u1ea3i-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-\u1ee9ng-d\u1ee5ng-tich-phan-tinh-di\u1ec7n-tich\"><span class=\"ez-toc-section\" id=\"Tai_tai_lieu_Toan_thuc_te_chuyen_de_Ung_dung_tich_phan_tinh_dien_tich\"><\/span>T\u1ea3i t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n t\u00ednh di\u1ec7n t\u00edch<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\/1NzcGVcg_dD6WEk9X0g91v0wQZj-4LFO2?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-ung-dung-tich-phan-trong-vat-ly\/\" rel=\"noreferrer noopener\" target=\"_blank\">To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n trong v\u1eadt l\u00fd<\/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 t\u00ednh di\u1ec7n t\u00edch g\u1ed3m c\u00e1c d\u1ea1ng nh\u01b0 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh Parabol; elip, h\u00ecnh ph\u1ea7n \u0111\u1ea5t, hoa v\u0103n trang tr\u00ed; chi ph\u00ed li\u00ean quan \u0111\u1ebfn di\u1ec7n t\u00edch N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n t\u00ednh di\u1ec7n [&#8230;]\n","protected":false},"author":1,"featured_media":2295,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,26],"tags":[],"class_list":["post-2296","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\/2296","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=2296"}],"version-history":[{"count":0,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/2296\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2295"}],"wp:attachment":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=2296"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=2296"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=2296"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}