{"id":954,"date":"2026-05-05T06:08:50","date_gmt":"2026-05-05T06:08:50","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach\/"},"modified":"2026-05-05T07:49:56","modified_gmt":"2026-05-05T07:49:56","slug":"bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach\/","title":{"rendered":"B\u1ed9 \u0111\u1ec1 thi theo b\u00e0i v\u00e0 cu\u1ed1i ch\u01b0\u01a1ng m\u00f4n To\u00e1n 12 n\u0103m 2025 (D\u00f9ng chung 3 s\u00e1ch)"},"content":{"rendered":"<p>Gi\u1eefa giai \u0111o\u1ea1n \u00f4n thi t\u0103ng t\u1ed1c, nhi\u1ec1u h\u1ecdc sinh l\u1edbp 12 \u0111ang \u201c\u0111u\u1ed1i s\u1ee9c\u201d khi v\u1eeba ph\u1ea3i h\u1ecdc l\u00fd thuy\u1ebft, v\u1eeba ph\u1ea3i luy\u1ec7n \u0111\u1ec1 nh\u01b0ng l\u1ea1i kh\u00f4ng bi\u1ebft b\u1eaft \u0111\u1ea7u t\u1eeb \u0111\u00e2u. V\u1edbi <strong>B\u1ed9 \u0111\u1ec1 thi theo b\u00e0i v\u00e0 cu\u1ed1i ch\u01b0\u01a1ng m\u00f4n To\u00e1n 12 n\u0103m 2025 (D\u00f9ng chung 3 s\u00e1ch)<\/strong>, b\u1ea1n s\u1ebd c\u00f3 trong tay h\u1ec7 th\u1ed1ng \u0111\u1ec1 luy\u1ec7n \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf chu\u1ea9n theo ma tr\u1eadn \u0111\u1ec1 thi THPT Qu\u1ed1c Gia, chia theo t\u1eebng chuy\u00ean \u0111\u1ec1, m\u1ee9c \u0111\u1ed9 v\u00e0 \u0111\u00fang c\u1ea5u tr\u00fac \u0111\u1ec1 th\u1ef1c t\u1ebf. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\"><strong>Tailieuonthi EDU<\/strong><\/a> kh\u00e1m ph\u00e1 b\u1ed9 \u0111\u1ec1 n\u00e0y c\u00f3 g\u00ec kh\u00e1c bi\u1ec7t v\u00e0 v\u00ec sao \u0111\u00e2y l\u00e0 l\u1ef1a ch\u1ecdn \u0111\u00e1ng d\u00f9ng nh\u1ea5t cho giai \u0111o\u1ea1n luy\u1ec7n thi nh\u00e9!<\/p>\n<h2><strong>L\u00fd do n\u00ean l\u1ef1a ch\u1ecdn B\u1ed9 \u0111\u1ec1 thi theo b\u00e0i v\u00e0 cu\u1ed1i ch\u01b0\u01a1ng m\u00f4n To\u00e1n 12 n\u0103m 2025 (D\u00f9ng chung 3 s\u00e1ch)<\/strong><\/h2>\n<p>B\u1ed9 <a href=\"https:\/\/tailieuonthi.edu.vn\/lop-12\/toan-12\/\" rel=\"noopener\" target=\"_blank\"><strong>t\u00e0i li\u1ec7u to\u00e1n 12<\/strong><\/a> n\u00e0y l\u00e0 m\u1ed9t chi\u1ebfn l\u01b0\u1ee3c \u00f4n luy\u1ec7n to\u00e0n di\u1ec7n, gi\u00fap h\u1ecdc sinh t\u1ed1i \u01b0u h\u00f3a th\u1eddi gian v\u00e0 c\u00f4ng s\u1ee9c:<\/p>\n<ul>\n<li><strong>T\u01b0\u01a1ng th\u00edch v\u1edbi m\u1ecdi h\u1ecdc sinh:<\/strong> T\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n \u0111\u1ec3 d\u00f9ng chung cho c\u1ea3 3 b\u1ed9 s\u00e1ch gi\u00e1o khoa m\u1edbi (K\u1ebft n\u1ed1i Tri th\u1ee9c v\u1edbi Cu\u1ed9c s\u1ed1ng, Ch\u00e2n tr\u1eddi S\u00e1ng t\u1ea1o, C\u00e1nh Di\u1ec1u), gi\u1ea3i quy\u1ebft tri\u1ec7t \u0111\u1ec3 n\u1ed7i lo thi\u1ebfu t\u00e0i li\u1ec7u \u00f4n t\u1eadp th\u1ed1ng nh\u1ea5t.<\/li>\n<li><strong>R\u00e8n luy\u1ec7n chuy\u00ean s\u00e2u:<\/strong> C\u1ea5u tr\u00fac \u0111\u1ec1 thi \u0111\u01b0\u1ee3c chia theo t\u1eebng B\u00e0i h\u1ecdc v\u00e0 Cu\u1ed1i Ch\u01b0\u01a1ng, \u0111\u1ea3m b\u1ea3o h\u1ecdc sinh n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng tr\u01b0\u1edbc khi chuy\u1ec3n sang d\u1ea1ng t\u1ed5ng h\u1ee3p v\u00e0 v\u1eadn d\u1ee5ng cao.<\/li>\n<li><strong>\u0110a d\u1ea1ng h\u00f3a h\u00ecnh th\u1ee9c c\u00e2u h\u1ecfi:<\/strong> M\u1ed7i \u0111\u1ec1 thi bao g\u1ed3m c\u1ea3 Tr\u1eafc nghi\u1ec7m (12 c\u00e2u), \u0110\u00fang \u2013 Sai (4 c\u00e2u) v\u00e0 Tr\u1ea3 l\u1eddi ng\u1eafn (6 c\u00e2u). S\u1ef1 k\u1ebft h\u1ee3p n\u00e0y m\u00f4 ph\u1ecfng s\u00e1t nh\u1ea5t xu h\u01b0\u1edbng ra \u0111\u1ec1 m\u1edbi c\u1ee7a B\u1ed9 Gi\u00e1o d\u1ee5c, gi\u00fap h\u1ecdc sinh l\u00e0m quen v\u00e0 th\u00edch nghi v\u1edbi m\u1ecdi y\u00eau c\u1ea7u c\u1ee7a k\u1ef3 thi.<\/li>\n<li><strong>T\u0103ng c\u01b0\u1eddng to\u00e1n \u1ee9ng d\u1ee5ng:<\/strong> B\u1ed9 \u0111\u1ec1 ch\u00fa tr\u1ecdng c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf trong t\u1eebng chuy\u00ean \u0111\u1ec1 (nh\u01b0 \u1ee9ng d\u1ee5ng \u0111\u1ea1o h\u00e0m, b\u00e0i to\u00e1n kinh t\u1ebf, v\u1eadt l\u00fd trong H\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 kh\u00f4ng gian\u2026), gi\u00fap h\u1ecdc sinh kh\u1eafc ph\u1ee5c \u0111i\u1ec3m y\u1ebfu v\u00e0 t\u1ef1 tin l\u00e0m ch\u1ee7 nh\u1eefng c\u00e2u h\u1ecfi \u201c\u0103n \u0111i\u1ec3m\u201d trong \u0111\u1ec1 thi.<\/li>\n<\/ul>\n<h2><strong>N\u1ed9i dung B\u1ed9 \u0111\u1ec1 thi theo b\u00e0i v\u00e0 cu\u1ed1i ch\u01b0\u01a1ng m\u00f4n To\u00e1n 12 n\u0103m 2025 (D\u00f9ng chung 3 s\u00e1ch)<\/strong><\/h2>\n<p><strong>B\u1ed9 \u0111\u1ec1 thi theo b\u00e0i v\u00e0 cu\u1ed1i ch\u01b0\u01a1ng m\u00f4n To\u00e1n 12 n\u0103m 2025 (D\u00f9ng chung 3 s\u00e1ch)<\/strong> \u0111\u01b0\u1ee3c ph\u00e2n chia r\u00f5 r\u00e0ng th\u00e0nh hai ph\u1ea7n ch\u00ednh: \u0110\u1ec1 b\u00e0i v\u00e0 \u0111\u00e1p \u00e1n.<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u1ec1 b\u00e0i<\/strong><\/h3>\n<p>Ph\u1ea7n \u0111\u1ec1 b\u00e0i bao g\u1ed3m c\u00e1c \u0111\u1ec1 ki\u1ec3m tra theo chuy\u00ean \u0111\u1ec1 v\u00e0 theo b\u00e0i, b\u00e1m s\u00e1t c\u1ea5u tr\u00fac c\u1ee7a Ch\u01b0\u01a1ng tr\u00ecnh GDPT 2018. C\u00e1c chuy\u00ean \u0111\u1ec1 ch\u00ednh g\u1ed3m:<\/p>\n<ul>\n<li>H\u00e0m s\u1ed1 v\u00e0 kh\u1ea3o s\u00e1t \u0111\u1ed3 th\u1ecb<\/li>\n<li>\u1ee8ng d\u1ee5ng \u0111\u1ea1o h\u00e0m<\/li>\n<li>T\u00edch ph\u00e2n v\u00e0 \u1ee9ng d\u1ee5ng<\/li>\n<li>S\u1ed1 m\u0169 \u2013 Logarit \u2013 L\u0169y th\u1eeba<\/li>\n<li>H\u00ecnh h\u1ecdc kh\u00f4ng gian<\/li>\n<li>Vect\u01a1 trong kh\u00f4ng gian<\/li>\n<li>X\u00e1c su\u1ea5t v\u00e0 th\u1ed1ng k\u00ea<\/li>\n<\/ul>\n<p>M\u1ed7i chuy\u00ean \u0111\u1ec1 \u0111\u1ec1u \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf theo c\u1ea5u tr\u00fac:<\/p>\n<table border=\"1\">\n<thead>\n<tr>\n<th>M\u1ee9c \u0111\u1ed9 nh\u1eadn th\u1ee9c<\/th>\n<th>\u0110\u1eb7c \u0111i\u1ec3m b\u00e0i t\u1eadp<\/th>\n<th>M\u1ee5c ti\u00eau luy\u1ec7n t\u1eadp<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Nh\u1eadn bi\u1ebft<\/td>\n<td>C\u00e2u h\u1ecfi l\u00fd thuy\u1ebft, \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n<\/td>\n<td>Ghi nh\u1edb ki\u1ebfn th\u1ee9c n\u1ec1n<\/td>\n<\/tr>\n<tr>\n<td>Th\u00f4ng hi\u1ec3u<\/td>\n<td>Gi\u1ea3i th\u00edch, bi\u1ebfn \u0111\u1ed5i, nh\u1eadn d\u1ea1ng d\u1ea1ng to\u00e1n<\/td>\n<td>Hi\u1ec3u b\u1ea3n ch\u1ea5t v\u00e0 m\u1ed1i li\u00ean h\u1ec7<\/td>\n<\/tr>\n<tr>\n<td>V\u1eadn d\u1ee5ng<\/td>\n<td>B\u00e0i to\u00e1n th\u1ef1c t\u1ebf, \u00e1p d\u1ee5ng v\u00e0o t\u00ecnh hu\u1ed1ng c\u1ee5 th\u1ec3<\/td>\n<td>R\u00e8n k\u1ef9 n\u0103ng gi\u1ea3i to\u00e1n \u1ee9ng d\u1ee5ng<\/td>\n<\/tr>\n<tr>\n<td>V\u1eadn d\u1ee5ng cao<\/td>\n<td>D\u1ea1ng b\u00e0i t\u1ed5ng h\u1ee3p, y\u00eau c\u1ea7u t\u01b0 duy logic<\/td>\n<td>Ph\u00e1t tri\u1ec3n t\u01b0 duy v\u00e0 x\u1eed l\u00fd \u0111\u1ec1 thi kh\u00f3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Ngo\u00e0i ra, m\u1ed7i chuy\u00ean \u0111\u1ec1 \u0111\u1ec1u c\u00f3 ph\u1ea7n b\u00e0i t\u1eadp t\u1ed5ng h\u1ee3p cu\u1ed1i ch\u01b0\u01a1ng, gi\u00fap h\u1ecdc sinh k\u1ebft n\u1ed1i ki\u1ebfn th\u1ee9c v\u00e0 luy\u1ec7n t\u1eadp k\u1ef9 n\u0103ng gi\u1ea3i \u0111\u1ec1 to\u00e0n di\u1ec7n.<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u00e1p \u00e1n<\/strong><\/h3>\n<p>Ph\u1ea7n \u0111\u00e1p \u00e1n c\u1ee7a b\u1ed9 \u0111\u1ec1 \u0111\u01b0\u1ee3c tr\u00ecnh b\u00e0y chi ti\u1ebft t\u1eebng b\u01b0\u1edbc gi\u1ea3i, gi\u00fap h\u1ecdc sinh d\u1ec5 d\u00e0ng n\u1eafm b\u1eaft ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i hi\u1ec7u qu\u1ea3.<\/p>\n<p><img loading=\"lazy\" alt=\"\" class=\"aligncenter wp-image-5290\" decoding=\"async\" height=\"1103\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach-1.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach-1.jpg 631w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach-1-218x300.jpg 218w\" width=\"800\"\/> <img loading=\"lazy\" alt=\"\" class=\"aligncenter wp-image-5289\" decoding=\"async\" height=\"1136\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach-2.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach-2.jpg 615w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-theo-bai-va-cuoi-chuong-mon-toan-12-nam-2025-dung-chung-3-sach-2-211x300.jpg 211w\" width=\"800\"\/><\/p>\n<h2><strong>T\u1ea3i B\u1ed9 \u0111\u1ec1 thi theo b\u00e0i v\u00e0 cu\u1ed1i ch\u01b0\u01a1ng m\u00f4n To\u00e1n 12 n\u0103m 2025 (D\u00f9ng chung 3 s\u00e1ch)<\/strong><\/h2>\n<p>B\u1ea1n h\u00e3y t\u1ea3i ngay b\u1ed9 t\u00e0i li\u1ec7u n\u00e0y t\u1eeb Tailieuonthi \u0111\u1ec3 ch\u1ee7 \u0111\u1ed9ng luy\u1ec7n t\u1eadp, h\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c m\u1ed9t c\u00e1ch b\u00e0i b\u1ea3n v\u00e0 t\u1ef1 tin b\u01b0\u1edbc v\u00e0o k\u1ef3 thi v\u1edbi t\u00e2m th\u1ebf t\u1ed1t nh\u1ea5t.<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1RC67dmABnKR_m-8q3_GA9EYaYqFTKqXE\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0111\u1ec1 thi theo b\u00e0i v\u00e0 cu\u1ed1i ch\u01b0\u01a1ng m\u00f4n To\u00e1n 12 n\u0103m 2025 (D\u00f9ng chung 3 s\u00e1ch)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Gi\u1eefa giai \u0111o\u1ea1n \u00f4n thi t\u0103ng t\u1ed1c, nhi\u1ec1u h\u1ecdc sinh l\u1edbp 12 \u0111ang \u201c\u0111u\u1ed1i s\u1ee9c\u201d khi v\u1eeba ph\u1ea3i h\u1ecdc l\u00fd thuy\u1ebft, v\u1eeba ph\u1ea3i luy\u1ec7n \u0111\u1ec1 nh\u01b0ng l\u1ea1i kh\u00f4ng bi\u1ebft b\u1eaft \u0111\u1ea7u t\u1eeb \u0111\u00e2u. V\u1edbi B\u1ed9 \u0111\u1ec1 thi theo b\u00e0i v\u00e0 cu\u1ed1i ch\u01b0\u01a1ng m\u00f4n To\u00e1n 12 n\u0103m 2025 (D\u00f9ng chung 3 s\u00e1ch), b\u1ea1n s\u1ebd c\u00f3 trong [&#8230;]\n","protected":false},"author":1,"featured_media":2152,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[10],"class_list":["post-954","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-toan-12","tag-toan-12"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/954","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/comments?post=954"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/954\/revisions"}],"predecessor-version":[{"id":2153,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/954\/revisions\/2153"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2152"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}