{"id":384,"date":"2026-04-24T09:38:22","date_gmt":"2026-04-24T09:38:22","guid":{"rendered":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/24\/de-danh-gia-nang-luc-hsa-toan-hoc-so-31\/"},"modified":"2026-04-24T09:38:22","modified_gmt":"2026-04-24T09:38:22","slug":"de-danh-gia-nang-luc-hsa-toan-hoc-so-31","status":"publish","type":"post","link":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/24\/de-danh-gia-nang-luc-hsa-toan-hoc-so-31\/","title":{"rendered":"\u0110\u1ec1 \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c HSA To\u00e1n h\u1ecdc s\u1ed1 31"},"content":{"rendered":"<div class=\"entry-content single-page\">\n<p>Nh\u1eb1m h\u1ed7 tr\u1ee3 h\u1ecdc sinh \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3 cho k\u1ef3 thi \u0110\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c HSA do \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i t\u1ed5 ch\u1ee9c, ch\u00fang t\u00f4i gi\u1edbi thi\u1ec7u \u0110\u1ec1 thi th\u1eed HSA To\u00e1n h\u1ecdc s\u1ed1 31. \u0110\u1ec1 \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n theo \u0111\u1ecbnh d\u1ea1ng m\u1edbi nh\u1ea5t, n\u1ed9i dung b\u00e1m s\u00e1t \u0111\u1ec1 thi ch\u00ednh th\u1ee9c, c\u00f3 \u0111\u00e1p \u00e1n v\u00e0 l\u1eddi gi\u1ea3i chi ti\u1ebft, gi\u00fap th\u00ed sinh c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c v\u00e0 r\u00e8n k\u1ef9 n\u0103ng l\u00e0m b\u00e0i.<\/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<p>\ud83d\udccc \u0110\u00e2y l\u00e0 t\u00e0i li\u1ec7u r\u1ea5t ph\u00f9 h\u1ee3p cho h\u1ecdc sinh l\u1edbp 12 v\u00e0 th\u00ed sinh t\u1ef1 do \u0111ang chu\u1ea9n b\u1ecb x\u00e9t tuy\u1ec3n b\u1eb1ng k\u1ebft qu\u1ea3 \u0110GNL HSA.<\/p>\n<p>Ngo\u00e0i ra c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 l\u1ea5y\u00a0<strong><a href=\"https:\/\/tailieuonthi.org\/category\/tai-lieu-thi-dgnl-hn\/dinh-luong-hsa\/\" rel=\"noreferrer noopener\" target=\"_blank\">t\u00e0i li\u1ec7u \u00f4n thi \u0110GNL m\u00f4n to\u00e1n<\/a><\/strong>\u00a0t\u1ea1i web nh\u00e9.<\/p>\n<p>Tham kh\u1ea3o: <strong><a href=\"https:\/\/tailieuonthi.org\/de-danh-gia-nang-luc-hsa-toan-hoc-so-30\/\" rel=\"noreferrer noopener\" target=\"_blank\">\u0110\u1ec1 thi th\u1eed \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c HSA To\u00e1n h\u1ecdc s\u1ed1 30<\/a><\/strong><\/p>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-7d8b4ac3a4e3bff39f33d50053699337\" id=\"h-n\u1ed9i-dung-d\u1ec1-thi-th\u1eed-dgnl-hsa-toan-h\u1ecdc-s\u1ed1-31\"><span class=\"ez-toc-section\" id=\"Noi_dung_de_thi_thu_DGNL_HSA_Toan_hoc_so_31\"><\/span>N\u1ed9i dung \u0111\u1ec1 thi th\u1eed \u0110GNL HSA To\u00e1n h\u1ecdc s\u1ed1 31<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Ph\u1ea7n l\u1edbn n\u1ed9i dung c\u1ee7a \u0111\u1ec1 thi v\u00e0 l\u1eddi gi\u1ea3i bao qu\u00e1t c\u00e1c chuy\u00ean \u0111\u1ec1 To\u00e1n h\u1ecdc ph\u1ed5 th\u00f4ng v\u00e0 \u1ee9ng d\u1ee5ng, c\u1ee5 th\u1ec3 l\u00e0:<\/p>\n<figure class=\"wp-block-table\">\n<table>\n<thead>\n<tr>\n<th>Chuy\u00ean \u0111\u1ec1<\/th>\n<th>M\u00f4 t\u1ea3<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\u0110\u1ea1i s\u1ed1 &amp; Gi\u1ea3i t\u00edch<\/strong><\/td>\n<td>T\u1eadp con, T\u00edch v\u00f4 h\u01b0\u1edbng, Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng tr\u00f2n, T\u1ed5 h\u1ee3p, Ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 t\u1ef7, T\u1eadp x\u00e1c \u0111\u1ecbnh v\u00e0 t\u1eadp gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c, C\u1ea5p s\u1ed1 nh\u00e2n, Gi\u1edbi h\u1ea1n, Ti\u1ebfp tuy\u1ebfn, Ph\u01b0\u01a1ng tr\u00ecnh logarit, B\u1ea3ng bi\u1ebfn thi\u00ean v\u00e0 c\u1ef1c tr\u1ecb h\u00e0m h\u1ee3p, H\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn, Ti\u1ec7m c\u1eadn, T\u00edch ph\u00e2n v\u00e0 di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng.<\/td>\n<\/tr>\n<tr>\n<td><strong>H\u00ecnh h\u1ecdc<\/strong><\/td>\n<td>Th\u1ec3 t\u00edch kh\u1ed1i l\u0103ng tr\u1ee5 (B\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p v\u1edbi g\u00f3c gi\u1eefa hai m\u1eb7t ph\u1eb3ng), T\u1ec9 s\u1ed1 th\u1ec3 t\u00edch kh\u1ed1i ch\u00f3p b\u1ecb c\u1eaft b\u1edfi m\u1eb7t ph\u1eb3ng song song, B\u00e0i to\u00e1n t\u1ed1i \u01b0u h\u00f3a h\u00ecnh h\u1ecdc kh\u00f4ng gian (d\u00e2y \u0111\u00e8n led), Th\u1ec3 t\u00edch v\u1eadt th\u1ec3 tr\u00f2n xoay quanh tr\u1ee5c Oy.<\/td>\n<\/tr>\n<tr>\n<td><strong>Oxyz<\/strong><\/td>\n<td>Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng, Th\u1ec3 t\u00edch t\u1ee9 di\u1ec7n, Kho\u1ea3ng c\u00e1ch nh\u1ecf nh\u1ea5t t\u1eeb \u0111i\u1ec3m tr\u00ean m\u1eb7t c\u1ea7u \u0111\u1ebfn \u0111\u01b0\u1eddng th\u1eb3ng, Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a bi\u1ec3u th\u1ee9c vector.<\/td>\n<\/tr>\n<tr>\n<td><strong>X\u1eed l\u00ed s\u1ed1 li\u1ec7u &amp; X\u00e1c su\u1ea5t<\/strong><\/td>\n<td>Trung v\u1ecb c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u, C\u00f4ng th\u1ee9c Bernoulli (X\u00e1c su\u1ea5t \u0111\u1ea1t \u0111i\u1ec3m), D\u00e3y s\u1ed1\/C\u1ea5p s\u1ed1 c\u1ed9ng (B\u00e0i to\u00e1n x\u1ebfp gh\u1ebf), T\u1ee9 ph\u00e2n v\u1ecb th\u1ee9 nh\u1ea5t, X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n (T\u00edn hi\u1ec7u X\/Y), B\u00e0i to\u00e1n T\u1ed5 h\u1ee3p (ch\u1ecdn g\u1ea1ch), B\u00e0i to\u00e1n H\u1ed9p bi.<\/td>\n<\/tr>\n<tr>\n<td><strong>\u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf<\/strong><\/td>\n<td>\u0110\u1ecbnh lu\u1eadt l\u00e0m m\u00e1t c\u1ee7a Newton (T\u00ednh nhi\u1ec7t \u0111\u1ed9), B\u00e0i to\u00e1n t\u1ed1i \u01b0u th\u1ec3 t\u00edch (g\u1ea5p h\u1ed9p ch\u1eef nh\u1eadt), B\u00e0i to\u00e1n v\u1ec1 t\u1ed1c \u0111\u1ed9 (\u1ed1c s\u00ean b\u00f2).<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-1388a92914e1772a1bddae631f3a458d\" id=\"h-vi-sao-nen-luy\u1ec7n-d\u1ec1-hsa-toan-h\u1ecdc-s\u1ed1-31\"><span class=\"ez-toc-section\" id=\"Vi_sao_nen_luyen_de_HSA_Toan_hoc_so_31\"><\/span>V\u00ec sao n\u00ean luy\u1ec7n \u0111\u1ec1 HSA To\u00e1n h\u1ecdc s\u1ed1 31?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul class=\"wp-block-list\">\n<li>N\u1ed9i dung ch\u1ecdn l\u1ecdc, s\u00e1t \u0111\u1ec1 thi th\u1eadt<\/li>\n<li>C\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft, d\u1ec5 t\u1ef1 h\u1ecdc<\/li>\n<li>Gi\u00fap ph\u00e2n lo\u1ea1i n\u0103ng l\u1ef1c r\u00f5 r\u00e0ng<\/li>\n<li>R\u00e8n k\u1ef9 n\u0103ng x\u1eed l\u00fd c\u00e1c d\u1ea1ng b\u00e0i m\u1edbi<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-e0af1803caf4f53cb455915ecb869c6e\" id=\"h-t\u1ea3i-d\u1ec1-thi-th\u1eed-danh-gia-nang-l\u1ef1c-hsa-toan-h\u1ecdc-s\u1ed1-31\"><span class=\"ez-toc-section\" id=\"Tai_de_thi_thu_danh_gia_nang_luc_HSA_Toan_hoc_so_31\"><\/span>T\u1ea3i \u0111\u1ec1 thi th\u1eed \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c HSA To\u00e1n h\u1ecdc s\u1ed1 31<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>C\u00e1c b\u1ea1n c\u00f3 th\u1ec3 t\u1ea3i \u0111\u1ec1 mi\u1ec5n ph\u00ed \u1edf \u0111\u00e2y<\/p>\n<p class=\"has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-39c348eed6ae0448d982999654c70811\"><strong><a href=\"https:\/\/drive.google.com\/drive\/folders\/1IJqearOUZxx4zV3_MNpz5ezOLlDbTU_9?usp=drive_link\" rel=\"noreferrer noopener\" target=\"_blank\">T\u1ea2I \u0110\u1ec0 V\u00c0 \u0110\u00c1P \u00c1N HSA TO\u00c1N S\u1ed0 31<\/a><\/strong><\/p>\n<p class=\"has-text-align-center\"><strong>Xem th\u1eed t\u00e0i li\u1ec7u<\/strong><\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" alt=\"\u0111\u1ec1 thi th\u1eed \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c HSA To\u00e1n h\u1ecdc s\u1ed1 31\" class=\"wp-image-8526\" height=\"731\" src=\"https:\/\/77.buffdemo.com\/wp-content\/uploads\/2026\/04\/image-2-png.webp\" width=\"761\"\/><\/figure>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Nh\u1eb1m h\u1ed7 tr\u1ee3 h\u1ecdc sinh \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3 cho k\u1ef3 thi \u0110\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c HSA do \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i t\u1ed5 ch\u1ee9c, ch\u00fang t\u00f4i gi\u1edbi thi\u1ec7u \u0110\u1ec1 thi th\u1eed HSA To\u00e1n h\u1ecdc s\u1ed1 31. \u0110\u1ec1 \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n theo \u0111\u1ecbnh d\u1ea1ng m\u1edbi nh\u1ea5t, n\u1ed9i dung b\u00e1m s\u00e1t \u0111\u1ec1 thi ch\u00ednh th\u1ee9c, [&#8230;]\n","protected":false},"author":1,"featured_media":382,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-384","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dinh-luong-hsa"],"_links":{"self":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/384","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=384"}],"version-history":[{"count":0,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/384\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/382"}],"wp:attachment":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=384"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=384"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}