{"id":3431,"date":"2026-04-25T03:37:36","date_gmt":"2026-04-25T03:37:36","guid":{"rendered":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-chuyen-de-gia-tri-lon-nhat-nho-nhat-ham-so\/"},"modified":"2026-04-25T03:37:36","modified_gmt":"2026-04-25T03:37:36","slug":"toan-thuc-te-chuyen-de-gia-tri-lon-nhat-nho-nhat-ham-so","status":"publish","type":"post","link":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-chuyen-de-gia-tri-lon-nhat-nho-nhat-ham-so\/","title":{"rendered":"To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t h\u00e0m s\u1ed1"},"content":{"rendered":"<div class=\"entry-content single-page\">\n<p>Chia s\u1ebb chuy\u00ean \u0111\u1ec1 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t qua c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf nh\u01b0 t\u1ed1i \u01b0u h\u00f3a l\u1ee3i nhu\u1eadn, chi ph\u00ed; t\u1ed1i \u01b0u h\u00f3a di\u1ec7n t\u00edch th\u1ec3 t\u00edch, \u1ee9ng d\u1ee5ng trong v\u1eadt l\u00fd, sinh h\u1ecdc, h\u00f3a h\u1ecdc.<\/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-a5576be8c0affc03e539b2e31b24832c\" id=\"h-n\u1ed9i-dung-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-gia-tr\u1ecb-l\u1edbn-nh\u1ea5t-gia-tr\u1ecb-nh\u1ecf-nh\u1ea5t-ham-s\u1ed1\"><span class=\"ez-toc-section\" id=\"Noi_dung_tai_lieu_Toan_thuc_te_chuyen_de_gia_tri_lon_nhat_gia_tri_nho_nhat_ham_so\"><\/span>N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t h\u00e0m s\u1ed1<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-ki\u1ebfn-th\u1ee9c-c\u01a1-b\u1ea3n-c\u1ea7n-n\u1eafm\"><span class=\"ez-toc-section\" id=\"Kien_thuc_co_ban_can_nam\"><\/span><strong>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>\u0110\u1ecbnh ngh\u0129a v\u1ec1 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t v\u00e0 gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t  c\u1ee7a h\u00e0m s\u1ed1  tr\u00ean t\u1eadp x\u00e1c \u0111\u1ecbnh D<\/li>\n<li>C\u00e1ch t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 tr\u00ean m\u1ed9t kho\u1ea3ng, \u0111o\u1ea1n hay n\u1eeda kho\u1ea3ng b\u1eb1ng \u0111\u1ea1o h\u00e0m<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\" id=\"h-bai-t\u1eadp-v\u1eadn-d\u1ee5ng-26-cau-co-l\u1eddi-gi\u1ea3i\"><span class=\"ez-toc-section\" id=\"Bai_tap_van_dung_26_cau_co_loi_giai\"><\/span><strong>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng (26 c\u00e2u c\u00f3 l\u1eddi gi\u1ea3i):<\/strong>\u00a0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>T\u00e0i li\u1ec7u tr\u00ecnh b\u00e0y c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf \u0111a d\u1ea1ng, \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1ec1 GTLN v\u00e0 GTNN c\u1ee7a h\u00e0m s\u1ed1, c\u1ee5 th\u1ec3:<\/p>\n<p><strong>T\u1ed1i \u01b0u h\u00f3a di\u1ec7n t\u00edch\/th\u1ec3 t\u00edch:<\/strong>\u00a0<\/p>\n<ul class=\"wp-block-list\">\n<li>T\u00ecm g\u00f3c u\u1ed1n c\u1ee7a m\u00e1ng x\u1ed1i \u0111\u1ec3 di\u1ec7n t\u00edch m\u1eb7t c\u1eaft ngang l\u1edbn nh\u1ea5t (C\u00e2u 1),<\/li>\n<li>t\u00ecm k\u00edch th\u01b0\u1edbc h\u1ed9p \u0111\u1ec3 th\u1ec3 t\u00edch l\u1edbn nh\u1ea5t (C\u00e2u 9, C\u00e2u 19),<\/li>\n<li>t\u00ecm di\u1ec7n t\u00edch l\u1edbn nh\u1ea5t c\u1ee7a tam gi\u00e1c n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n (C\u00e2u 10),<\/li>\n<li>t\u00ecm di\u1ec7n t\u00edch l\u1edbn nh\u1ea5t c\u1ee7a m\u1ea3nh v\u01b0\u1eddn h\u00ecnh thang c\u00e2n (C\u00e2u 11),<\/li>\n<li>t\u00ecm k\u00edch th\u01b0\u1edbc khung c\u1eeda s\u1ed5 h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 chu vi c\u1ed1 \u0111\u1ecbnh \u0111\u1ec3 di\u1ec7n t\u00edch l\u1edbn nh\u1ea5t (C\u00e2u 24),<\/li>\n<li>t\u00ecm k\u00edch th\u01b0\u1edbc h\u1ed9p s\u1eefa h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt c\u00f3 th\u1ec3 t\u00edch c\u1ed1 \u0111\u1ecbnh \u0111\u1ec3 di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n nh\u1ecf nh\u1ea5t (C\u00e2u 26).<\/li>\n<\/ul>\n<p><strong>T\u1ed1i \u01b0u h\u00f3a l\u1ee3i nhu\u1eadn\/chi ph\u00ed:<\/strong>\u00a0<\/p>\n<ul class=\"wp-block-list\">\n<li>T\u00ecm m\u1ee9c s\u1ea3n xu\u1ea5t \u0111\u1ec3 l\u1ee3i nhu\u1eadn l\u1edbn nh\u1ea5t (C\u00e2u 2),<\/li>\n<li>t\u00ecm s\u1ed1 ti\u1ec1n chi cho qu\u1ea3ng c\u00e1o \u0111\u1ec3 l\u1ee3i nhu\u1eadn t\u1ed1i \u0111a (C\u00e2u 3), t\u00ecm t\u1ed1c \u0111\u1ed9 di chuy\u1ec3n c\u1ee7a xe t\u1ea3i \u0111\u1ec3 chi ph\u00ed nhi\u00ean li\u1ec7u \u00edt nh\u1ea5t (C\u00e2u 4a),<\/li>\n<li>t\u00ecm t\u1ed1c \u0111\u1ed9 di chuy\u1ec3n \u0111\u1ec3 t\u1ed5ng chi ph\u00ed (nhi\u00ean li\u1ec7u + l\u01b0\u01a1ng) ti\u1ebft ki\u1ec7m nh\u1ea5t (C\u00e2u 4b),<\/li>\n<li>t\u00ecm s\u1ed1 l\u01b0\u1ee3ng s\u1ea3n ph\u1ea9m cung c\u1ea5p \u0111\u1ec3 doanh thu l\u1edbn nh\u1ea5t (C\u00e2u 13),<\/li>\n<li>t\u00ecm kh\u1ed1i l\u01b0\u1ee3ng s\u1ea3n ph\u1ea9m s\u1ea3n xu\u1ea5t \u0111\u1ec3 l\u1ee3i nhu\u1eadn cao nh\u1ea5t (C\u00e2u 12),<\/li>\n<li>t\u00ecm gi\u00e1 b\u00e1n \u0111\u1ec3 \u0111\u1ea1t doanh thu cao nh\u1ea5t (C\u00e2u 25),<\/li>\n<li>t\u00ecm k\u00edch th\u01b0\u1edbc b\u00ecnh h\u00ecnh tr\u1ee5 \u0111\u1ec3 chi ph\u00ed v\u1eadt li\u1ec7u nh\u1ecf nh\u1ea5t (C\u00e2u 20).<\/li>\n<\/ul>\n<p><strong>V\u1eadt l\u00fd\/H\u00f3a h\u1ecdc\/Sinh h\u1ecdc:<\/strong>\u00a0<\/p>\n<ul class=\"wp-block-list\">\n<li>T\u00ecm v\u1ecb tr\u00ed c\u00f3 c\u01b0\u1eddng \u0111\u1ed9 nhi\u1ec7t th\u1ea5p nh\u1ea5t gi\u1eefa hai ngu\u1ed3n nhi\u1ec7t (C\u00e2u 5),<\/li>\n<li>t\u00ecm g\u00f3c n\u00e9m \u0111\u1ec3 qu\u00e3ng \u0111\u01b0\u1eddng v\u1eadt di chuy\u1ec3n l\u00ean m\u1eb7t ph\u1eb3ng nghi\u00eang l\u1edbn nh\u1ea5t (C\u00e2u 6),<\/li>\n<li>t\u00ecm t\u1ed1c \u0111\u1ed9 l\u1edbn nh\u1ea5t, v\u1ecb tr\u00ed, gia t\u1ed1c c\u1ee7a xe dao \u0111\u1ed9ng g\u1eafn l\u00f2 xo (C\u00e2u 7),<\/li>\n<li>t\u00ecm th\u1eddi \u0111i\u1ec3m t\u1ed1c \u0111\u1ed9 c\u1ee7a ch\u1ea5t \u0111i\u1ec3m l\u1edbn nh\u1ea5t (C\u00e2u 8, C\u00e2u 21),<\/li>\n<li>t\u00ecm th\u1eddi \u0111i\u1ec3m t\u1ed1c \u0111\u1ed9 t\u0103ng th\u1ec3 t\u00edch x\u0103ng l\u1edbn nh\u1ea5t (C\u00e2u 14, C\u00e2u 22),<\/li>\n<li>t\u00ecm th\u1eddi \u0111i\u1ec3m n\u1ed3ng \u0111\u1ed9 h\u00f3a ch\u1ea5t trong m\u00e1u cao nh\u1ea5t (C\u00e2u 17),<\/li>\n<li>t\u00ecm nhi\u1ec7t \u0111\u1ed9 \u0111\u1ec3 kh\u1ed1i l\u01b0\u1ee3ng ri\u00eang c\u1ee7a n\u01b0\u1edbc l\u1edbn nh\u1ea5t (C\u00e2u 18),<\/li>\n<li>t\u00ecm b\u00e1n k\u00ednh kh\u00ed qu\u1ea3n khi ho \u0111\u1ec3 t\u1ed1c \u0111\u1ed9 kh\u00f4ng kh\u00ed l\u1edbn nh\u1ea5t (C\u00e2u 23).<\/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\/1ksQ6Mjr4xrJtlS5x89-zI_ENB-05-ie5\/preview\" width=\"640\"><\/iframe><\/p>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-a09dd54d6d47233bc33a6b27c9bd38f6\" id=\"h-t\u1ea3i-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-gia-tr\u1ecb-l\u1edbn-nh\u1ea5t-gia-tr\u1ecb-nh\u1ecf-nh\u1ea5t-ham-s\u1ed1\"><span class=\"ez-toc-section\" id=\"Tai_tai_lieu_Toan_thuc_te_chuyen_de_gia_tri_lon_nhat_gia_tri_nho_nhat_ham_so\"><\/span>T\u1ea3i t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t h\u00e0m s\u1ed1<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\/1zwduJ41n73V564GZvUr4k3zuvgRWuMN0?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>\u2026<\/p>\n<p>Tham kh\u1ea3o:<strong> <a href=\"https:\/\/tailieuonthi.org\/toan-thuc-te-chuyen-de-tinh-don-dieu-va-cuc-tri-ham-so\/\" rel=\"noreferrer noopener\" target=\"_blank\">To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 t\u00ednh \u0111\u01a1n \u0111i\u1ec7u v\u00e0 c\u1ef1c tr\u1ecb h\u00e0m s\u1ed1<\/a><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Chia s\u1ebb chuy\u00ean \u0111\u1ec1 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t qua c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf nh\u01b0 t\u1ed1i \u01b0u h\u00f3a l\u1ee3i nhu\u1eadn, chi ph\u00ed; t\u1ed1i \u01b0u h\u00f3a di\u1ec7n t\u00edch th\u1ec3 t\u00edch, \u1ee9ng d\u1ee5ng trong v\u1eadt l\u00fd, sinh h\u1ecdc, h\u00f3a h\u1ecdc. N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, [&#8230;]\n","protected":false},"author":1,"featured_media":3430,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3431","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/3431","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=3431"}],"version-history":[{"count":0,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/3431\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/3430"}],"wp:attachment":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=3431"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=3431"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=3431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}