{"id":1012,"date":"2026-05-05T06:12:05","date_gmt":"2026-05-05T06:12:05","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-giua-ki-2-toan-11\/"},"modified":"2026-05-05T07:53:11","modified_gmt":"2026-05-05T07:53:11","slug":"bo-de-thi-giua-ki-2-toan-11","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-giua-ki-2-toan-11\/","title":{"rendered":"B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 2 To\u00e1n 11 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n"},"content":{"rendered":"<p>B\u1ea1n c\u00f3 \u0111ang t\u00ecm ki\u1ebfm ph\u01b0\u01a1ng ph\u00e1p \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3 cho k\u1ef3 thi gi\u1eefa k\u00ec 2 to\u00e1n 11? Giai \u0111o\u1ea1n n\u00e0y l\u00e0 th\u1eddi \u0111i\u1ec3m quan tr\u1ecdng \u0111\u1ec3 c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng, \u0111\u1ed3ng th\u1eddi l\u00e0 b\u01b0\u1edbc \u0111\u1ec7m v\u1eefng ch\u1eafc h\u01b0\u1edbng t\u1edbi to\u00e1n 12 v\u00e0 k\u1ef3 thi t\u1ed1t nghi\u1ec7p. V\u1edbi <strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 2 To\u00e1n 11<\/strong>, b\u1ea1n s\u1ebd \u0111\u01b0\u1ee3c trang b\u1ecb kho \u0111\u1ec1 luy\u1ec7n t\u1eadp phong ph\u00fa, b\u00e1m s\u00e1t c\u1ea5u tr\u00fac \u0111\u1ec1 thi th\u1ef1c t\u1ebf c\u1ee7a c\u1ea3 3 b\u1ed9 s\u00e1ch Ch\u00e2n Tr\u1eddi S\u00e1ng T\u1ea1o, K\u1ebft N\u1ed1i Tri Th\u1ee9c v\u00e0 C\u00e1nh Di\u1ec1u gi\u00fap b\u1ea1n \u00f4n t\u1eadp c\u00f3 \u0111\u1ecbnh h\u01b0\u1edbng v\u00e0 t\u1ef1 tin \u0111\u1ea1t \u0111i\u1ec3m cao. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\"><strong>Tailieuonthi EDU<\/strong><\/a> kh\u00e1m ph\u00e1 chi ti\u1ebft b\u1ed9 t\u00e0i li\u1ec7u \u0111\u1eb7c bi\u1ec7t n\u00e0y nh\u00e9!<\/p>\n<h2><strong>\u01afu \u0111i\u1ec3m c\u1ee7a B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 2 To\u00e1n 11<\/strong><\/h2>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 nh\u1eefng \u0111i\u1ec3m n\u1ed5i b\u1eadt khi\u1ebfn B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 2 To\u00e1n 11 tr\u1edf th\u00e0nh l\u1ef1a ch\u1ecdn h\u00e0ng \u0111\u1ea7u:<\/p>\n<ul>\n<li><strong>\u0110a d\u1ea1ng \u0111\u1ec1 thi theo 3 b\u1ed9 s\u00e1ch:<\/strong> B\u1ed9 \u0111\u1ec1 \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n ri\u00eang cho t\u1eebng b\u1ed9 s\u00e1ch gi\u00e1o khoa (Ch\u00e2n Tr\u1eddi S\u00e1ng T\u1ea1o, K\u1ebft N\u1ed1i Tri Th\u1ee9c, C\u00e1nh Di\u1ec1u), \u0111\u1ea3m b\u1ea3o s\u1ef1 t\u01b0\u01a1ng th\u00edch ho\u00e0n h\u1ea3o v\u1edbi ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc c\u1ee7a b\u1ea1n.<\/li>\n<li><strong>C\u1ea5u tr\u00fac \u0111\u1ec1 b\u00e0i khoa h\u1ecdc:<\/strong> M\u1ed7i \u0111\u1ec1 thi \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf v\u1edbi s\u1ef1 ph\u00e2n b\u1ed5 h\u1ee3p l\u00fd gi\u1eefa c\u00e1c d\u1ea1ng c\u00e2u h\u1ecfi, t\u1eeb tr\u1eafc nghi\u1ec7m \u0111\u1ebfn t\u1ef1 lu\u1eadn, gi\u00fap h\u1ecdc sinh l\u00e0m quen v\u1edbi format \u0111\u1ec1 thi ch\u00ednh th\u1ee9c.<\/li>\n<li><strong>Ph\u00e2n lo\u1ea1i \u0111\u1ed9 kh\u00f3 r\u00f5 r\u00e0ng:<\/strong> C\u00e1c c\u00e2u h\u1ecfi \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp theo 4 m\u1ee9c \u0111\u1ed9 nh\u1eadn th\u1ee9c (Nh\u1eadn bi\u1ebft, Th\u00f4ng hi\u1ec3u, V\u1eadn d\u1ee5ng, V\u1eadn d\u1ee5ng cao), h\u1ed7 tr\u1ee3 vi\u1ec7c luy\u1ec7n t\u1eadp t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao m\u1ed9t c\u00e1ch b\u00e0i b\u1ea3n.<\/li>\n<li><strong>C\u1eadp nh\u1eadt theo xu h\u01b0\u1edbng \u0111\u1ec1 thi m\u1edbi:<\/strong> B\u1ed9 \u0111\u1ec1 \u0111\u01b0\u1ee3c tinh ch\u1ec9nh s\u00e1t v\u1edbi \u0111\u1ecbnh h\u01b0\u1edbng ra \u0111\u1ec1 c\u1ee7a B\u1ed9 Gi\u00e1o d\u1ee5c, t\u1eadp trung v\u00e0o c\u00e1c d\u1ea1ng b\u00e0i th\u01b0\u1eddng g\u1eb7p v\u00e0 c\u00f3 t\u00ednh \u1ee9ng d\u1ee5ng cao.<\/li>\n<\/ul>\n<h2><strong>N\u1ed9i dung B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 2 To\u00e1n 11<\/strong><\/h2>\n<p>B\u1ed9 <a href=\"https:\/\/tailieuonthi.edu.vn\/lop-11\/toan-11\/\" rel=\"noopener\" target=\"_blank\"><strong>t\u00e0i li\u1ec7u to\u00e1n 11<\/strong><\/a> \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng d\u1ef1a tr\u00ean vi\u1ec7c ph\u00e2n t\u00edch k\u1ef9 l\u01b0\u1ee1ng c\u1ea5u tr\u00fac ki\u1ebfn th\u1ee9c To\u00e1n 11 h\u1ecdc k\u1ef3 2, \u0111\u1ea3m b\u1ea3o bao qu\u00e1t to\u00e0n b\u1ed9 n\u1ed9i dung tr\u1ecdng t\u00e2m m\u00e0 h\u1ecdc sinh c\u1ea7n n\u1eafm v\u1eefng.<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u1ec1 b\u00e0i<\/strong><\/h3>\n<p><strong>1. C\u00e1c chuy\u00ean \u0111\u1ec1 ch\u00ednh \u0111\u01b0\u1ee3c \u0111\u1ec1 c\u1eadp:<\/strong><\/p>\n<p>B\u1ed9 \u0111\u1ec1 t\u1eadp trung v\u00e0o nh\u1eefng chuy\u00ean \u0111\u1ec1 c\u1ed1t l\u00f5i c\u1ee7a to\u00e1n 11 h\u1ecdc k\u1ef3 2, bao g\u1ed3m:<\/p>\n<ul>\n<li><strong>H\u00e0m s\u1ed1 m\u0169 v\u00e0 logarit:<\/strong> Kh\u1ea3o s\u00e1t t\u00ednh ch\u1ea5t, gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u0169, logarit \u2013 ph\u1ea7n chi\u1ebfm t\u1ef7 tr\u1ecdng l\u1edbn trong \u0111\u1ec1 thi<\/li>\n<li><strong>\u0110\u1ea1o h\u00e0m v\u00e0 \u1ee9ng d\u1ee5ng:<\/strong> T\u00ednh \u0111\u1ea1o h\u00e0m c\u00e1c h\u00e0m s\u1ed1 c\u01a1 b\u1ea3n, ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn, b\u00e0i to\u00e1n th\u1ef1c t\u1ebf li\u00ean quan \u0111\u1ebfn t\u1ed1c \u0111\u1ed9 bi\u1ebfn thi\u00ean<\/li>\n<li><strong>H\u00ecnh h\u1ecdc kh\u00f4ng gian:<\/strong> Quan h\u1ec7 vu\u00f4ng g\u00f3c trong kh\u00f4ng gian, t\u00ednh g\u00f3c v\u00e0 kho\u1ea3ng c\u00e1ch, th\u1ec3 t\u00edch kh\u1ed1i \u0111a di\u1ec7n<\/li>\n<li><strong>D\u00e3y s\u1ed1 v\u00e0 c\u1ea5p s\u1ed1:<\/strong> T\u00ednh ch\u1ea5t d\u00e3y s\u1ed1, c\u1ea5p s\u1ed1 c\u1ed9ng, c\u1ea5p s\u1ed1 nh\u00e2n v\u00e0 c\u00e1c b\u00e0i to\u00e1n \u1ee9ng d\u1ee5ng<\/li>\n<\/ul>\n<p><strong>2. Ph\u00e2n lo\u1ea1i c\u00e2u h\u1ecfi theo m\u1ee9c \u0111\u1ed9 nh\u1eadn th\u1ee9c:<\/strong><\/p>\n<p>M\u1ed7i \u0111\u1ec1 thi \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf c\u00e2n \u0111\u1ed1i theo ma tr\u1eadn \u0111\u1ec1 thi chu\u1ea9n, v\u1edbi s\u1ef1 ph\u00e2n b\u1ed5 nh\u01b0 sau:<\/p>\n<ul>\n<li><strong>Nh\u1eadn bi\u1ebft (25 \u2013 30%):<\/strong> C\u00e2u h\u1ecfi l\u00fd thuy\u1ebft c\u01a1 b\u1ea3n, \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c tr\u1ef1c ti\u1ebfp.<\/li>\n<li><strong>Th\u00f4ng hi\u1ec3u (30 \u2013 35%):<\/strong> B\u00e0i t\u1eadp y\u00eau c\u1ea7u gi\u1ea3i th\u00edch, bi\u1ebfn \u0111\u1ed5i, nh\u1eadn d\u1ea1ng d\u1ea1ng to\u00e1n.<\/li>\n<li><strong>V\u1eadn d\u1ee5ng (25 \u2013 30%):<\/strong> B\u00e0i to\u00e1n th\u1ef1c t\u1ebf, k\u1ebft h\u1ee3p nhi\u1ec1u b\u01b0\u1edbc gi\u1ea3i.<\/li>\n<li><strong>V\u1eadn d\u1ee5ng cao (10 \u2013 15%):<\/strong> D\u1ea1ng b\u00e0i ph\u1ee9c t\u1ea1p, \u0111\u00f2i h\u1ecfi t\u01b0 duy s\u00e1ng t\u1ea1o<\/li>\n<\/ul>\n<h3><strong>Ph\u1ea7n \u0111\u00e1p \u00e1n<\/strong><\/h3>\n<p>\u0110i\u1ec3m \u0111\u1eb7c bi\u1ec7t c\u1ee7a b\u1ed9 \u0111\u1ec1 l\u00e0 ph\u1ea7n \u0111\u00e1p \u00e1n \u0111\u01b0\u1ee3c tr\u00ecnh b\u00e0y v\u00f4 c\u00f9ng chi ti\u1ebft v\u00e0 khoa h\u1ecdc. M\u1ed7i b\u00e0i to\u00e1n \u0111\u1ec1u c\u00f3:<\/p>\n<ul>\n<li>L\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc<\/li>\n<li>Gi\u1ea3i th\u00edch ph\u01b0\u01a1ng ph\u00e1p<\/li>\n<li>L\u01b0u \u00fd c\u00e1c sai l\u1ea7m th\u01b0\u1eddng g\u1eb7p<\/li>\n<\/ul>\n<p><img loading=\"lazy\" alt=\"\" class=\"aligncenter size-full wp-image-5570\" decoding=\"async\" height=\"1131\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-1.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-1.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-1-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-1-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-1-768x1086.jpg 768w\" width=\"800\"\/> <img loading=\"lazy\" alt=\"\" class=\"aligncenter size-full wp-image-5569\" decoding=\"async\" height=\"1131\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-2.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-2.jpg 800w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-2-212x300.jpg 212w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-2-724x1024.jpg 724w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-2-toan-11-2-768x1086.jpg 768w\" width=\"800\"\/><\/p>\n<h2><strong>T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 2 To\u00e1n 11<\/strong><\/h2>\n<p><strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 2 To\u00e1n 11<\/strong> l\u00e0 c\u00f4ng c\u1ee5 \u00f4n luy\u1ec7n kh\u00f4ng th\u1ec3 thi\u1ebfu cho nh\u1eefng b\u1ea1n mu\u1ed1n chinh ph\u1ee5c \u0111i\u1ec3m cao trong k\u1ef3 thi s\u1eafp t\u1edbi. H\u00e3y t\u1ea3i ngay v\u1ec1 m\u00e1y v\u00e0 b\u1eaft \u0111\u1ea7u h\u00e0nh tr\u00ecnh chinh ph\u1ee5c to\u00e1n 11 c\u1ee7a b\u1ea1n ngay h\u00f4m nay!<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1_cU6GqF_w8Iyz1kivWJkQ6UdJMTsP98O\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa k\u00ec 2 To\u00e1n 11 n\u0103m 2025 (Ch\u00e2n Tr\u1eddi S\u00e1ng T\u1ea1o)<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1JeXtZjjQNBV_40GdvC0o-VgDaFOQX7ot\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa k\u00ec 2 To\u00e1n 11 n\u0103m 2025 (K\u1ebft N\u1ed1i Tri Th\u1ee9c)<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/19RM-7FXAuudacSZPAfzOCiob3bsLHIWp\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa k\u00ec 2 To\u00e1n 11 n\u0103m 2025 (C\u00e1nh Di\u1ec1u)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n c\u00f3 \u0111ang t\u00ecm ki\u1ebfm ph\u01b0\u01a1ng ph\u00e1p \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3 cho k\u1ef3 thi gi\u1eefa k\u00ec 2 to\u00e1n 11? Giai \u0111o\u1ea1n n\u00e0y l\u00e0 th\u1eddi \u0111i\u1ec3m quan tr\u1ecdng \u0111\u1ec3 c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng, \u0111\u1ed3ng th\u1eddi l\u00e0 b\u01b0\u1edbc \u0111\u1ec7m v\u1eefng ch\u1eafc h\u01b0\u1edbng t\u1edbi to\u00e1n 12 v\u00e0 k\u1ef3 thi t\u1ed1t nghi\u1ec7p. V\u1edbi B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa [&#8230;]\n","protected":false},"author":1,"featured_media":2210,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[16],"class_list":["post-1012","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-toan-11","tag-toan-11"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1012","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=1012"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1012\/revisions"}],"predecessor-version":[{"id":2211,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1012\/revisions\/2211"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2210"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=1012"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=1012"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=1012"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}