{"id":2300,"date":"2026-04-25T02:40:35","date_gmt":"2026-04-25T02:40:35","guid":{"rendered":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-chuyen-de-ung-dung-nguyen-ham\/"},"modified":"2026-04-25T02:40:35","modified_gmt":"2026-04-25T02:40:35","slug":"toan-thuc-te-chuyen-de-ung-dung-nguyen-ham","status":"publish","type":"post","link":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-chuyen-de-ung-dung-nguyen-ham\/","title":{"rendered":"To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng nguy\u00ean h\u00e0m"},"content":{"rendered":"<div class=\"entry-content single-page\">\n<p>Chia s\u1ebb chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng nguy\u00ean h\u00e0m nh\u01b0 chuy\u1ec3n \u0111\u1ed9ng, kinh t\u1ebf, k\u1ef9 thu\u1eadt v\u00e0 v\u1eadt l\u00fd, m\u00f4i tr\u01b0\u1eddng v\u00e0 sinh h\u1ecdc, th\u1ec3 t\u00edch, y 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-16ad9000105e22e6c15e37e954a2341c\" id=\"h-n\u1ed9i-dung-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-th\u1ed1ng-ke\"><span class=\"ez-toc-section\" id=\"Noi_dung_tai_lieu_Toan_thuc_te_chuyen_de_Thong_ke\"><\/span>N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 Th\u1ed1ng k\u00ea<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<ol class=\"wp-block-list\">\n<li>\u0110\u1ecbnh ngh\u0129a Nguy\u00ean h\u00e0m:<\/li>\n<li>T\u00ednh ch\u1ea5t c\u1ee7a Nguy\u00ean h\u00e0m: C\u00e1c quy t\u1eafc c\u01a1 b\u1ea3n c\u1ee7a nguy\u00ean h\u00e0m<\/li>\n<li>B\u1ea3ng Nguy\u00ean h\u00e0m: Cung c\u1ea5p c\u00e1c c\u00f4ng th\u1ee9c nguy\u00ean h\u00e0m c\u01a1 b\u1ea3n<\/li>\n<li>\u1ee8ng d\u1ee5ng nguy\u00ean h\u00e0m trong b\u00e0i to\u00e1n chuy\u1ec3n \u0111\u1ed9ng: Thi\u1ebft l\u1eadp m\u1ed1i li\u00ean h\u1ec7 gi\u1eefa: Qu\u00e3ng \u0111\u01b0\u1eddng v\u00e0 v\u1eadn t\u1ed1c; V\u1eadn t\u1ed1c v\u00e0 gia t\u1ed1c<\/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>T\u00e0i li\u1ec7u tr\u00ecnh b\u00e0y 29 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf s\u1eed d\u1ee5ng nguy\u00ean h\u00e0m \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 li\u00ean quan \u0111\u1ebfn:<\/p>\n<ol class=\"wp-block-list\">\n<li><strong>Chuy\u1ec3n \u0111\u1ed9ng (V\u1eadn t\u1ed1c, Qu\u00e3ng \u0111\u01b0\u1eddng, Gia t\u1ed1c):<\/strong> T\u00ednh v\u1eadn t\u1ed1c m\u00e1y bay (C\u00e2u 1), t\u00ednh qu\u00e3ng \u0111\u01b0\u1eddng (C\u00e2u 11), t\u00ecm d\u00e2n s\u1ed1 th\u1ebf gi\u1edbi (C\u00e2u 12), t\u00ecm v\u1eadn t\u1ed1c t\u1eeb gia t\u1ed1c (C\u00e2u 14, 16, 21, 23, 24), t\u00ecm \u0111\u1ed9 cao l\u1edbn nh\u1ea5t c\u1ee7a t\u00ean l\u1eeda (C\u00e2u 15), t\u00ednh th\u1eddi gian ch\u00eanh l\u1ec7ch khi ch\u1ea1y \u0111ua (C\u00e2u 19), t\u00ecm ph\u01b0\u01a1ng tr\u00ecnh v\u1eadn t\u1ed1c khi tr\u01b0\u1ee3t d\u1ed1c (C\u00e2u 22, 26).<\/li>\n<li><strong>Kinh t\u1ebf v\u00e0 D\u00e2n s\u1ed1:<\/strong> T\u00ecm m\u00f4 h\u00ecnh s\u1ed1 l\u01b0\u1ee3ng c\u1eb7p \u0111\u00f4i k\u1ebft h\u00f4n t\u1eeb t\u1ed1c \u0111\u1ed9 t\u0103ng (C\u00e2u 2), t\u00ednh t\u1ed5ng doanh thu t\u1eeb doanh thu c\u1eadn bi\u00ean (C\u00e2u 7), t\u00ednh l\u1ee3i nhu\u1eadn t\u1eeb chi ph\u00ed v\u00e0 doanh thu c\u1eadn bi\u00ean (C\u00e2u 8, 25), x\u00e1c \u0111\u1ecbnh gi\u00e1 b\u00e1n t\u1eeb t\u1ed1c \u0111\u1ed9 thay \u0111\u1ed5i gi\u00e1 (C\u00e2u 9).<\/li>\n<li><strong>M\u00f4i tr\u01b0\u1eddng v\u00e0 Sinh h\u1ecdc:<\/strong> X\u00e1c \u0111\u1ecbnh th\u1eddi gian c\u1ea7n x\u1eed l\u00fd n\u01b0\u1edbc h\u1ed3 b\u01a1i d\u1ef1a tr\u00ean t\u1ed1c \u0111\u1ed9 ph\u00e1t tri\u1ec3n vi khu\u1ea9n (C\u00e2u 3, 20), x\u00e1c \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng vi khu\u1ea9n s\u1ed1ng s\u00f3t sau x\u1eed l\u00fd (C\u00e2u 4).<\/li>\n<li><strong>K\u1ef9 thu\u1eadt v\u00e0 V\u1eadt l\u00fd (\u0110i\u1ec7n):<\/strong> T\u00ednh t\u1ed5ng \u0111i\u1ec7n t\u00edch t\u1eeb c\u01b0\u1eddng \u0111\u1ed9 d\u00f2ng \u0111i\u1ec7n (C\u00e2u 17), t\u00ecm hi\u1ec7u \u0111i\u1ec7n th\u1ebf t\u1eeb c\u01b0\u1eddng \u0111\u1ed9 d\u00f2ng \u0111i\u1ec7n (C\u00e2u 18).<\/li>\n<li><strong>Th\u1ec3 t\u00edch v\u00e0 M\u1ee9c n\u01b0\u1edbc:<\/strong> X\u00e1c \u0111\u1ecbnh th\u1eddi gian b\u01a1m n\u01b0\u1edbc \u0111\u1ea1t m\u1ee9c \u0111\u1ed9 s\u00e2u y\u00eau c\u1ea7u (C\u00e2u 5), t\u00ecm m\u1ee9c n\u01b0\u1edbc trong b\u1ed3n t\u1eeb t\u1ed1c \u0111\u1ed9 t\u0103ng chi\u1ec1u cao (C\u00e2u 10, 27, 28, 29).<\/li>\n<li><strong>Y h\u1ecdc (Tr\u1ecdng l\u01b0\u1ee3ng b\u00e0o thai):<\/strong> T\u00ednh tr\u1ecdng l\u01b0\u1ee3ng b\u00e0o thai t\u1eeb t\u1ed1c \u0111\u1ed9 t\u0103ng tr\u1ecdng l\u01b0\u1ee3ng (C\u00e2u 6).<\/li>\n<\/ol>\n<p>C\u00e1c b\u00e0i t\u1eadp \u0111\u1ec1u \u0111i k\u00e8m l\u1eddi gi\u1ea3i chi ti\u1ebft, s\u1eed d\u1ee5ng \u0111\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a nguy\u00ean h\u00e0m \u0111\u1ec3 t\u00ecm ra h\u00e0m s\u1ed1 g\u1ed1c (qu\u00e3ng \u0111\u01b0\u1eddng, v\u1eadn t\u1ed1c, s\u1ed1 l\u01b0\u1ee3ng, doanh thu, v.v.) t\u1eeb t\u1ed1c \u0111\u1ed9 thay \u0111\u1ed5i c\u1ee7a ch\u00fang (v\u1eadn t\u1ed1c, gia t\u1ed1c, t\u1ed1c \u0111\u1ed9 t\u0103ng, c\u1eadn bi\u00ean).<\/p>\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\/1eie2p5pY9So_0yGTfCZEZ8tYNbi9VMr9\/preview\" width=\"640\"><\/iframe><\/p>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-94a71854f636b4b8e3949e522740a98a\" id=\"h-t\u1ea3i-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-th\u1ed1ng-ke\"><span class=\"ez-toc-section\" id=\"Tai_tai_lieu_Toan_thuc_te_chuyen_de_Thong_ke\"><\/span>T\u1ea3i t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 Th\u1ed1ng k\u00ea<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\/1aS14GZDsFoQQUNlGV8o7Aes5fbMxXhLc?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-thong-ke\/\" rel=\"noreferrer noopener\" target=\"_blank\">To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 th\u1ed1ng k\u00ea<\/a><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Chia s\u1ebb chuy\u00ean \u0111\u1ec1 \u1ee8ng d\u1ee5ng nguy\u00ean h\u00e0m nh\u01b0 chuy\u1ec3n \u0111\u1ed9ng, kinh t\u1ebf, k\u1ef9 thu\u1eadt v\u00e0 v\u1eadt l\u00fd, m\u00f4i tr\u01b0\u1eddng v\u00e0 sinh h\u1ecdc, th\u1ec3 t\u00edch, y h\u1ecdc,.. N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 Th\u1ed1ng k\u00ea C\u00e1c n\u1ed9i dung ch\u00ednh bao g\u1ed3m: A. Ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n c\u1ea7n n\u1eafm: \u0110\u1ecbnh ngh\u0129a Nguy\u00ean h\u00e0m: [&#8230;]\n","protected":false},"author":1,"featured_media":2299,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,26],"tags":[],"class_list":["post-2300","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\/2300","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=2300"}],"version-history":[{"count":0,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/2300\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2299"}],"wp:attachment":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=2300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=2300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=2300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}