{"id":946,"date":"2026-05-05T06:08:25","date_gmt":"2026-05-05T06:08:25","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-giua-ki-1-toan-12\/"},"modified":"2026-05-05T07:49:22","modified_gmt":"2026-05-05T07:49:22","slug":"bo-de-thi-giua-ki-1-toan-12","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-thi-giua-ki-1-toan-12\/","title":{"rendered":"B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n"},"content":{"rendered":"<p>B\u1ea1n \u0111ang \u00f4n luy\u1ec7n gi\u1eefa k\u1ef3 To\u00e1n 12 nh\u01b0ng c\u1ea3m th\u1ea5y ki\u1ebfn th\u1ee9c t\u1eeb h\u00e0m s\u1ed1 \u0111\u1ebfn h\u00ecnh h\u1ecdc kh\u00f4ng gian qu\u00e1 r\u1ed9ng? <strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12<\/strong>\u00a0l\u00e0 t\u00e0i li\u1ec7u luy\u1ec7n \u0111\u1ec1 chu\u1ea9n, thi\u1ebft k\u1ebf theo \u0111\u1ecbnh h\u01b0\u1edbng thi THPT Qu\u1ed1c Gia. Ph\u00e2n lo\u1ea1i \u0111\u1ed9 kh\u00f3 r\u00f5 r\u00e0ng v\u00e0 \u0111\u00e1p \u00e1n chi ti\u1ebft gi\u00fap b\u1ea1n t\u1ef1 tin \u0111\u1ea1t 8 \u2013 9 \u0111i\u1ec3m ngay t\u1eeb l\u1ea7n \u00f4n t\u1eadp \u0111\u1ea7u ti\u00ean. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\"><strong>Tailieuonthi<\/strong><\/a> kh\u00e1m ph\u00e1 b\u1ed9 t\u00e0i li\u1ec7u n\u00e0y c\u00f3 g\u00ec n\u1ed5i b\u1eadt nh\u00e9!<\/p>\n<h2><strong>\u01afu \u0111i\u1ec3m c\u1ee7a B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12<\/strong><\/h2>\n<p><strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12<\/strong> \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng d\u1ef1a tr\u00ean s\u1ef1 ph\u00e2n t\u00edch k\u1ef9 l\u01b0\u1ee1ng ma tr\u1eadn \u0111\u1ec1 thi v\u00e0 n\u1ed9i dung ch\u01b0\u01a1ng tr\u00ecnh c\u1ee7a c\u1ea3 ba b\u1ed9 s\u00e1ch gi\u00e1o khoa m\u1edbi, mang l\u1ea1i nh\u1eefng l\u1ee3i \u00edch then ch\u1ed1t:<\/p>\n<ul>\n<li><strong>T\u01b0\u01a1ng th\u00edch v\u1edbi 3 b\u1ed9 s\u00e1ch Gi\u00e1o khoa (GK):<\/strong> \u0110\u00e2y l\u00e0 \u01b0u \u0111i\u1ec3m n\u1ed5i b\u1eadt nh\u1ea5t. B\u1ed9 \u0111\u1ec1 t\u1eadp trung v\u00e0o c\u00e1c ch\u1ee7 \u0111\u1ec1 c\u1ed1t l\u00f5i, \u0111\u1ea3m b\u1ea3o h\u1ecdc sinh d\u00f9ng b\u1ea5t k\u1ef3 b\u1ed9 s\u00e1ch n\u00e0o (K\u1ebft n\u1ed1i Tri th\u1ee9c, Ch\u00e2n tr\u1eddi S\u00e1ng t\u1ea1o, C\u00e1nh Di\u1ec1u) c\u0169ng c\u00f3 th\u1ec3 \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3 v\u00e0 \u0111\u00fang tr\u1ecdng t\u00e2m.<\/li>\n<li><strong>C\u1ea5u tr\u00fac \u0111\u1ec1 thi b\u00e1m s\u00e1t \u0111\u1ecbnh h\u01b0\u1edbng m\u1edbi:<\/strong> C\u00e1c \u0111\u1ec1 thi \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf v\u1edbi hai ph\u1ea7n r\u00f5 r\u1ec7t: Tr\u1eafc nghi\u1ec7m nhi\u1ec1u ph\u01b0\u01a1ng \u00e1n l\u1ef1a ch\u1ecdn (g\u1ed3m 12 c\u00e2u) v\u00e0 Tr\u1eafc nghi\u1ec7m \u0110\u00fang\/Sai (th\u01b0\u1eddng g\u1ed3m 4 c\u00e2u l\u1edbn, m\u1ed7i c\u00e2u c\u00f3 4 \u00fd nh\u1ecf).<\/li>\n<li><strong>T\u1eadp trung v\u00e0o D\u1ea1ng to\u00e1n th\u1ef1c t\u1ebf v\u00e0 \u1ee8ng d\u1ee5ng:<\/strong> B\u1ed9 \u0111\u1ec1 \u0111\u1eb7c bi\u1ec7t ch\u00fa tr\u1ecdng \u0111\u1ebfn c\u00e1c c\u00e2u h\u1ecfi li\u00ean quan \u0111\u1ebfn \u1ee9ng d\u1ee5ng c\u1ee7a \u0110\u1ea1o h\u00e0m trong th\u1ef1c ti\u1ec5n (nh\u01b0 t\u00ednh v\u1eadn t\u1ed1c, \u0111\u1ed9 cao, b\u00e0i to\u00e1n t\u1ed1i \u01b0u di\u1ec7n t\u00edch, th\u1ec3 t\u00edch, t\u1ed1i \u01b0u chi ph\u00ed\u2026). \u0110\u00e2y l\u00e0 nh\u00f3m c\u00e2u h\u1ecfi th\u01b0\u1eddng quy\u1ebft \u0111\u1ecbnh \u0111i\u1ec3m s\u1ed1 cao trong c\u00e1c k\u1ef3 ki\u1ec3m tra.<\/li>\n<\/ul>\n<h2><strong>N\u1ed9i dung B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12<\/strong><\/h2>\n<p>B\u1ed9 t\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c ph\u00e2n chia khoa h\u1ecdc, bao qu\u00e1t to\u00e0n b\u1ed9 ki\u1ebfn th\u1ee9c Gi\u1eefa K\u00ec 1 c\u1ee7a ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n 12.<\/p>\n<h3><strong>Ph\u1ea7n \u0111\u1ec1 b\u00e0i<\/strong><\/h3>\n<p>C\u00e1c \u0111\u1ec1 thi trong b\u1ed9 t\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp h\u1ee3p l\u00fd, ph\u00e2n b\u1ed5 ki\u1ebfn th\u1ee9c t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao, \u0111\u1ea3m b\u1ea3o h\u1ecdc sinh luy\u1ec7n t\u1eadp to\u00e0n di\u1ec7n c\u00e1c chuy\u00ean \u0111\u1ec1 ch\u00ednh:<\/p>\n<ul>\n<li>Chuy\u00ean \u0111\u1ec1 H\u00e0m s\u1ed1 v\u00e0 \u0110\u1ea1o h\u00e0m<\/li>\n<li>C\u1ef1c tr\u1ecb, Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t v\u00e0 nh\u1ecf nh\u1ea5t<\/li>\n<li>Ti\u1ec7m c\u1eadn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 (ti\u1ec7m c\u1eadn ngang, ti\u1ec7m c\u1eadn \u0111\u1ee9ng, ti\u1ec7m c\u1eadn xi\u00ean)<\/li>\n<li>Chuy\u00ean \u0111\u1ec1 H\u00ecnh h\u1ecdc T\u1ecda \u0111\u1ed9 Oxyz<\/li>\n<li>To\u1ea1 \u0111\u1ed9 \u0111i\u1ec3m (h\u00ecnh chi\u1ebfu, x\u00e1c \u0111\u1ecbnh to\u1ea1 \u0111\u1ed9 trong h\u00ecnh l\u1eadp ph\u01b0\u01a1ng\/h\u1ed9p), v\u00e0 c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn g\u00f3c, kho\u1ea3ng c\u00e1ch<\/li>\n<\/ul>\n<h3><strong>Ph\u1ea7n \u0111\u00e1p \u00e1n<\/strong><\/h3>\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> \u0111i k\u00e8m \u0111\u00e1p \u00e1n chi ti\u1ebft, c\u00f3 l\u1eddi gi\u1ea3i t\u1eebng b\u01b0\u1edbc. V\u00ed d\u1ee5:<\/p>\n<p><img loading=\"lazy\" alt=\"B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12 n\u0103m 2025 (D\u00f9ng Chung 3 S\u00e1ch)\" class=\"wp-image-5255 aligncenter\" decoding=\"async\" height=\"1110\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-1.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-1.jpg 552w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-1-216x300.jpg 216w\" width=\"800\"\/><\/p>\n<p><img loading=\"lazy\" alt=\"B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12 n\u0103m 2025 (D\u00f9ng Chung 3 S\u00e1ch)\" class=\"aligncenter wp-image-5257\" decoding=\"async\" height=\"1122\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-2.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-2.jpg 536w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-2-214x300.jpg 214w\" width=\"800\"\/><\/p>\n<p><img alt=\"B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12 n\u0103m 2025 (D\u00f9ng Chung 3 S\u00e1ch)\" class=\"aligncenter wp-image-5256\" decoding=\"async\" height=\"1112\" loading=\"lazy\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-3.jpg\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-3.jpg 530w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/10\/bo-de-thi-giua-ki-1-toan-12-nam-2025-dung-chung-3-sach-3-216x300.jpg 216w\" width=\"800\"\/><\/p>\n<p>B\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o th\u00eam \u0111\u00e1p \u00e1n minh h\u1ecda t\u1eeb file b\u00ean d\u01b0\u1edbi \u0111\u1ec3 th\u1ea5y r\u00f5 c\u00e1ch tr\u00ecnh b\u00e0y l\u1eddi gi\u1ea3i.<\/p>\n<h2><strong>T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12<\/strong><\/h2>\n<p>\u0110\u1ec3 b\u1eaft \u0111\u1ea7u h\u00e0nh tr\u00ecnh \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3, b\u1ea1n h\u00e3y t\u1ea3i ngay b\u1ed9 t\u00e0i li\u1ec7u <strong>B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12<\/strong>\u00a0v\u1ec1 m\u00e1y v\u00e0 b\u1eaft \u0111\u1ea7u \u00f4n t\u1eadp ngay h\u00f4m nay. B\u1ed9 \u0111\u1ec1 s\u1ebd gi\u00fap b\u1ea1n t\u1ef1 tin h\u01a1n trong k\u1ef3 thi s\u1eafp t\u1edbi v\u00e0 \u0111\u1ea1t \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 nh\u01b0 mong mu\u1ed1n.<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1E3w7ndZtwoekXFOaIMtnF0YXPOXoNf41\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i T\u1ed5ng H\u1ee3p \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12 C\u00e1c Tr\u01b0\u1eddng 2024 \u2013 2025<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1yEb56Q8m1izxzH8q7f6e-ChfyDyAReT0\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12 n\u0103m 2025 (D\u00f9ng Chung 3 S\u00e1ch)<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1tkom_NaFUPYgFOt0qDiHX_lRDRuTT8n9\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12 n\u0103m 2026 (D\u00f9ng Chung 3 S\u00e1ch)<\/a><\/p>\n<p><strong>T\u00e0i li\u1ec7u li\u00ean quan: <\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/bo-de-thi-cuoi-ki-1-toan-12\/\" rel=\"noopener\" target=\"_blank\">B\u1ed9 \u0110\u1ec1 Thi Cu\u1ed1i K\u00ec 1 To\u00e1n 12 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n<\/a><\/li>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/bo-de-thi-giua-ki-2-toan-12\/\" rel=\"noopener\" target=\"_blank\">B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 2 To\u00e1n 12 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n<\/a><\/li>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/bo-de-thi-cuoi-ki-2-toan-12\/\" rel=\"noopener\" target=\"_blank\">B\u1ed9 \u0110\u1ec1 Thi Cu\u1ed1i K\u00ec 2 To\u00e1n 12 ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 \u0111\u00e1p \u00e1n<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n \u0111ang \u00f4n luy\u1ec7n gi\u1eefa k\u1ef3 To\u00e1n 12 nh\u01b0ng c\u1ea3m th\u1ea5y ki\u1ebfn th\u1ee9c t\u1eeb h\u00e0m s\u1ed1 \u0111\u1ebfn h\u00ecnh h\u1ecdc kh\u00f4ng gian qu\u00e1 r\u1ed9ng? B\u1ed9 \u0110\u1ec1 Thi Gi\u1eefa K\u00ec 1 To\u00e1n 12\u00a0l\u00e0 t\u00e0i li\u1ec7u luy\u1ec7n \u0111\u1ec1 chu\u1ea9n, thi\u1ebft k\u1ebf theo \u0111\u1ecbnh h\u01b0\u1edbng thi THPT Qu\u1ed1c Gia. Ph\u00e2n lo\u1ea1i \u0111\u1ed9 kh\u00f3 r\u00f5 r\u00e0ng v\u00e0 \u0111\u00e1p \u00e1n chi [&#8230;]\n","protected":false},"author":1,"featured_media":2144,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[10],"class_list":["post-946","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\/946","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=946"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/946\/revisions"}],"predecessor-version":[{"id":2145,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/946\/revisions\/2145"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2144"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=946"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=946"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=946"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}