{"id":1116,"date":"2026-05-05T06:17:45","date_gmt":"2026-05-05T06:17:45","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-hsg-toan-12\/"},"modified":"2026-05-05T07:59:15","modified_gmt":"2026-05-05T07:59:15","slug":"bo-de-thi-hsg-toan-12","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-hsg-toan-12\/","title":{"rendered":"B\u1ed9 \u0111\u1ec1 thi HSG To\u00e1n 12 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n"},"content":{"rendered":"<p>B\u1ea1n \u0111ang \u0111\u1eb7t m\u1ee5c ti\u00eau chinh ph\u1ee5c \u0111i\u1ec3m 9, 10 m\u00f4n to\u00e1n, ho\u1eb7c mu\u1ed1n b\u1ee9t ph\u00e1 trong k\u1ef3 thi h\u1ecdc sinh gi\u1ecfi? N\u1ebfu b\u1ea1n \u0111\u00e3 h\u1ecdc ch\u1eafc ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n nh\u01b0ng v\u1eabn \u201cb\u00ed\u201d khi g\u1eb7p c\u00e1c c\u00e2u v\u1eadn d\u1ee5ng cao trong \u0111\u1ec1 thi, \u0111\u00e2y ch\u00ednh l\u00e0 l\u00fac b\u1ea1n c\u1ea7n m\u1ed9t t\u00e0i li\u1ec7u luy\u1ec7n \u0111\u1ec1 chuy\u00ean s\u00e2u. <strong>B\u1ed9 \u0111\u1ec1 thi HSG To\u00e1n 12<\/strong> t\u1ed5ng h\u1ee3p nh\u1eefng d\u1ea1ng to\u00e1n h\u00f3c b\u00faa nh\u1ea5t, gi\u00fap b\u1ea1n r\u00e8n luy\u1ec7n t\u01b0 duy, l\u00e0m ch\u1ee7 m\u1ecdi c\u00e2u h\u1ecfi kh\u00f3. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\"><strong>Tailieuonthi<\/strong><\/a> kh\u00e1m ph\u00e1 gi\u00e1 tr\u1ecb c\u1ed1t l\u00f5i l\u00e0m n\u00ean s\u1ee9c m\u1ea1nh c\u1ee7a b\u1ed9 t\u00e0i li\u1ec7u \u0111\u1eb7c bi\u1ec7t n\u00e0y.<\/p>\n<h2><strong>V\u00ec sao n\u00ean ch\u1ecdn B\u1ed9 \u0111\u1ec1 thi HSG To\u00e1n 12<\/strong><\/h2>\n<p>B\u1ed9 \u0111\u1ec1 n\u00e0y \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n \u0111\u1ec3 gi\u00fap c\u00e1c b\u1ea1n h\u1ecdc sinh c\u00f3 m\u1ee5c ti\u00eau cao \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3 nh\u1ea5t, v\u1edbi nhi\u1ec1u \u0111i\u1ec3m n\u1ed5i b\u1eadt thi\u1ebft th\u1ef1c:<\/p>\n<ul>\n<li><strong>Luy\u1ec7n \u0111\u1ec1 theo c\u1ea5u tr\u00fac thi HSG th\u1ef1c t\u1ebf:<\/strong> M\u1ed7i \u0111\u1ec1 thi c\u00f3 \u0111\u1ee7 c\u00e1c ph\u1ea7n: Tr\u1eafc nghi\u1ec7m ch\u1ecdn \u0111\u00e1p \u00e1n, tr\u1eafc nghi\u1ec7m \u0111\u00fang\/sai v\u00e0 t\u1ef1 lu\u1eadn. Vi\u1ec7c n\u00e0y gi\u00fap b\u1ea1n l\u00e0m quen v\u1edbi \u00e1p l\u1ef1c v\u00e0 y\u00eau c\u1ea7u chi ti\u1ebft c\u1ee7a \u0111\u1ec1 thi h\u1ecdc sinh gi\u1ecfi ho\u1eb7c \u0111\u1ec1 9+ trong k\u1ef3 thi THPT Qu\u1ed1c gia.<\/li>\n<li><strong>T\u1eadp trung gi\u1ea3i quy\u1ebft c\u00e1c c\u00e2u v\u1eadn d\u1ee5ng cao:<\/strong> \u0110i\u1ec3m kh\u00e1c bi\u1ec7t l\u1edbn nh\u1ea5t l\u00e0 b\u1ed9 \u0111\u1ec1 chuy\u00ean s\u00e2u v\u00e0o c\u00e1c d\u1ea1ng to\u00e1n kh\u00f3. B\u1ea1n s\u1ebd \u0111\u01b0\u1ee3c r\u00e8n luy\u1ec7n kh\u1ea3 n\u0103ng t\u01b0 duy s\u00e2u, gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 ph\u1ee9c t\u1ea1p. \u0110\u00e2y l\u00e0 b\u01b0\u1edbc \u0111\u1ec7m quan tr\u1ecdng \u0111\u1ec3 b\u1ea1n ch\u1ea1m t\u1edbi m\u1ed1c \u0111i\u1ec3m 9, 10.<\/li>\n<li><strong>Ki\u1ebfn th\u1ee9c bao qu\u00e1t v\u00e0 chuy\u00ean s\u00e2u:<\/strong> T\u00e0i li\u1ec7u t\u1ed5ng h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c chuy\u00ean \u0111\u1ec1 quan tr\u1ecdng c\u1ee7a To\u00e1n 12. T\u1eeb c\u00e1c b\u00e0i to\u00e1n h\u00e0m s\u1ed1, h\u00ecnh h\u1ecdc Oxyz, m\u0169 \u2013 logarit, \u0111\u1ebfn nh\u1eefng c\u00e2u h\u1ecfi d\u1ec5 sai v\u1ec1 th\u1ed1ng k\u00ea, x\u00e1c su\u1ea5t.<\/li>\n<\/ul>\n<h2><strong>N\u1ed9i dung B\u1ed9 \u0111\u1ec1 thi HSG To\u00e1n 12<\/strong><\/h2>\n<p>B\u1ed9 \u0111\u1ec1 \u0111\u01b0\u1ee3c chia th\u00e0nh hai ph\u1ea7n ch\u00ednh: \u0110\u1ec1 b\u00e0i v\u00e0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i chi ti\u1ebft, t\u1ea1o th\u00e0nh m\u1ed9t quy tr\u00ecnh t\u1ef1 h\u1ecdc kh\u00e9p k\u00edn v\u00e0 hi\u1ec7u qu\u1ea3.<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u1ec1 b\u00e0i<\/strong><\/h3>\n<p>C\u00e1c \u0111\u1ec1 thi \u0111\u01b0\u1ee3c tuy\u1ec3n ch\u1ecdn k\u1ef9 l\u01b0\u1ee1ng, \u0111\u1ea3m b\u1ea3o t\u00ednh c\u1eadp nh\u1eadt v\u00e0 \u0111\u1ed9 kh\u00f3 t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi \u0111\u1ec1 thi ch\u1ecdn HSG c\u00e1c n\u0103m. Vi\u1ec7c luy\u1ec7n t\u1eadp v\u1edbi b\u1ed9 \u0111\u1ec1 n\u00e0y gi\u00fap h\u1ecdc sinh:<\/p>\n<p><strong>Ti\u1ebfp c\u1eadn s\u1edbm c\u00e1c d\u1ea1ng to\u00e1n t\u00edch h\u1ee3p:<\/strong> B\u1ed9 \u0111\u1ec1 y\u00eau c\u1ea7u h\u1ecdc sinh k\u1ebft h\u1ee3p ki\u1ebfn th\u1ee9c t\u1eeb nhi\u1ec1u ch\u01b0\u01a1ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft m\u1ed9t v\u1ea5n \u0111\u1ec1 duy nh\u1ea5t, v\u00ed d\u1ee5: t\u00ecm tham s\u1ed1 $m$ \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh h\u00e0m h\u1ee3p c\u00f3 nghi\u1ec7m tr\u00ean m\u1ed9t \u0111o\u1ea1n cho tr\u01b0\u1edbc hay c\u00e1c b\u00e0i to\u00e1n t\u1ed1i \u01b0u trong kh\u00f4ng gian.<\/p>\n<p><strong>C\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c th\u1ed1ng k\u00ea th\u1ef1c t\u1ebf:<\/strong> C\u00e1c c\u00e2u h\u1ecfi v\u1ec1 th\u1ed1ng k\u00ea \u0111\u01b0\u1ee3c l\u1ed3ng gh\u00e9p trong b\u1ed1i c\u1ea3nh th\u1ef1c ti\u1ec5n (nh\u01b0 s\u1ed1 ti\u1ec1n b\u00e1n x\u0103ng, chi\u1ec1u cao hoa, l\u01b0\u1ee3ng n\u01b0\u1edbc ti\u00eau th\u1ee5), gi\u00fap h\u1ecdc sinh kh\u00f4ng ch\u1ec9 n\u1eafm c\u00f4ng th\u1ee9c m\u00e0 c\u00f2n bi\u1ebft c\u00e1ch \u00e1p d\u1ee5ng.<\/p>\n<p><strong>Tr\u1ea3i nghi\u1ec7m \u0111\u1ea7y \u0111\u1ee7 c\u00e1c chuy\u00ean \u0111\u1ec1 tr\u1ecdng t\u00e2m:<\/strong><\/p>\n<ul>\n<li><strong>Gi\u1ea3i t\u00edch:<\/strong> Kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1, H\u00e0m \u1ea9n, Ph\u01b0\u01a1ng tr\u00ecnh\/B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh M\u0169 \u2013 Logarit.<\/li>\n<li><strong>H\u00ecnh h\u1ecdc:<\/strong> H\u1ec7 tr\u1ee5c Oxyz, Ph\u01b0\u01a1ng ph\u00e1p Vector, T\u00ednh th\u1ec3 t\u00edch, G\u00f3c.<\/li>\n<li><strong>Th\u1ed1ng k\u00ea &amp; x\u00e1c su\u1ea5t:<\/strong> C\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng th\u1ed1ng k\u00ea (s\u1ed1 trung b\u00ecnh, t\u1ee9 ph\u00e2n v\u1ecb), X\u00e1c su\u1ea5t t\u1ed5 h\u1ee3p.<\/li>\n<\/ul>\n<h3><strong>Ph\u1ea7n \u0111\u00e1p \u00e1n<\/strong><\/h3>\n<p>\u0110\u00e1p \u00e1n tr\u00ecnh b\u00e0y r\u00f5 r\u00e0ng t\u1eebng b\u01b0\u1edbc l\u00e0m, c\u00e1ch \u0111\u1eb7t \u0111i\u1ec1u ki\u1ec7n v\u00e0 bi\u1ebfn \u0111\u1ed5i c\u00f4ng th\u1ee9c. B\u1ea1n s\u1ebd h\u1ecdc \u0111\u01b0\u1ee3c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 thay v\u00ec ch\u1ec9 c\u00f3 k\u1ebft qu\u1ea3.<\/p>\n<p><img loading=\"lazy\" alt=\"\" class=\"aligncenter size-full wp-image-6204\" decoding=\"async\" height=\"1131\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-3.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-3.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-3-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-3-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-3-768x1086.jpg 768w\" width=\"800\"\/> <img loading=\"lazy\" alt=\"\" class=\"aligncenter size-full wp-image-6205\" decoding=\"async\" height=\"1131\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-2.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-2.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-2-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-2-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-2-768x1086.jpg 768w\" width=\"800\"\/> <img alt=\"\" class=\"aligncenter size-full wp-image-6206\" decoding=\"async\" height=\"1131\" loading=\"lazy\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-1.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-1.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-1-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-1-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/11\/bo-de-thi-hsg-toan-12-1-768x1086.jpg 768w\" width=\"800\"\/><\/p>\n<h2><strong>T\u1ea3i B\u1ed9 \u0111\u1ec1 thi HSG To\u00e1n 12<\/strong><\/h2>\n<p><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 gi\u00fap b\u1ea1n l\u00e0m quen v\u1edbi c\u1ea5u tr\u00fac \u0111\u1ec1 thi kh\u00f3, r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 v\u00e0 n\u00e2ng cao t\u01b0 duy logic. \u0110\u1ec3 nhanh ch\u00f3ng b\u1ee9t ph\u00e1 gi\u1edbi h\u1ea1n \u0111i\u1ec3m s\u1ed1 c\u1ee7a m\u00ecnh v\u00e0 t\u1ef1 tin b\u01b0\u1edbc v\u00e0o m\u1ecdi k\u1ef3 thi, b\u1ea1n h\u00e3y t\u1ea3i ngay b\u1ed9 \u0111\u1ec1 n\u00e0y v\u1ec1 m\u00e1y. B\u1eaft \u0111\u1ea7u h\u00e0nh tr\u00ecnh \u00f4n luy\u1ec7n chuy\u00ean s\u00e2u ngay h\u00f4m nay!<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1UHg9a6z8EkcEfkz_tu0cX_eK7k-fxipn\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i T\u1ed5ng h\u1ee3p \u0110\u1ec1 \u00d4n Thi HSG To\u00e1n 12 (N\u0103m H\u1ecdc 2025 \u2013 2026 \u2013 Theo Ch\u01b0\u01a1ng Tri\u0300nh M\u01a1\u0301i)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n \u0111ang \u0111\u1eb7t m\u1ee5c ti\u00eau chinh ph\u1ee5c \u0111i\u1ec3m 9, 10 m\u00f4n to\u00e1n, ho\u1eb7c mu\u1ed1n b\u1ee9t ph\u00e1 trong k\u1ef3 thi h\u1ecdc sinh gi\u1ecfi? N\u1ebfu b\u1ea1n \u0111\u00e3 h\u1ecdc ch\u1eafc ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n nh\u01b0ng v\u1eabn \u201cb\u00ed\u201d khi g\u1eb7p c\u00e1c c\u00e2u v\u1eadn d\u1ee5ng cao trong \u0111\u1ec1 thi, \u0111\u00e2y ch\u00ednh l\u00e0 l\u00fac b\u1ea1n c\u1ea7n m\u1ed9t t\u00e0i li\u1ec7u luy\u1ec7n \u0111\u1ec1 [&#8230;]\n","protected":false},"author":1,"featured_media":2314,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[10],"class_list":["post-1116","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\/1116","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=1116"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1116\/revisions"}],"predecessor-version":[{"id":2315,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1116\/revisions\/2315"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2314"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=1116"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=1116"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=1116"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}