{"id":98,"date":"2026-05-05T04:26:01","date_gmt":"2026-05-05T04:26:01","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/loi-giai-chi-tiet-de-minh-hoa-ky-thi-tot-nghiep-thpt-nam-2025-mon-toan\/"},"modified":"2026-05-05T06:59:19","modified_gmt":"2026-05-05T06:59:19","slug":"loi-giai-chi-tiet-de-minh-hoa-ky-thi-tot-nghiep-thpt-nam-2025-mon-toan","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/loi-giai-chi-tiet-de-minh-hoa-ky-thi-tot-nghiep-thpt-nam-2025-mon-toan\/","title":{"rendered":"L\u1eddi gi\u1ea3i chi ti\u1ebft \u0111\u1ec1 minh ho\u1ea1 k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT n\u0103m 2025 m\u00f4n to\u00e1n ch\u00ednh th\u1ee9c c\u1ee7a BGD"},"content":{"rendered":"<h2>Ph\u00e2n t\u00edch v\u00e0 \u0111\u00e1nh gi\u00e1 nhanh \u0111\u1ec1 minh ho\u1ea1 k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT n\u0103m 2025 m\u00f4n to\u00e1n<\/h2>\n<p>\u0110\u1ec1 thi tham kh\u1ea3o c\u01a1 b\u1ea3n c\u1ee7a B\u1ed9 GD&amp;\u0110T \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf tu\u00e2n th\u1ee7 \u0111\u00fang c\u1ea5u tr\u00fac v\u00e0 \u0111\u1ecbnh d\u1ea1ng nh\u01b0 \u0111\u1ec1 minh h\u1ecda c\u00f4ng b\u1ed1 ng\u00e0y 29\/12\/2023, v\u1edbi ba ph\u1ea7n v\u00e0 t\u1ed5ng c\u1ed9ng 34 \u00fd h\u1ecfi:<\/p>\n<ul>\n<li>Ph\u1ea7n 1 g\u1ed3m 12 c\u00e2u tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn, t\u1eadp trung v\u00e0o m\u1ee9c \u0111\u1ed9 bi\u1ebft v\u00e0 hi\u1ec3u.<\/li>\n<li>Ph\u1ea7n 2 g\u1ed3m 4 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai, m\u1ed7i c\u00e2u c\u00f3 4 \u00fd, t\u1eeb m\u1ee9c \u0111\u1ed9 bi\u1ebft \u0111\u1ebfn v\u1eadn d\u1ee5ng.<\/li>\n<li>Ph\u1ea7n 3 l\u00e0 6 c\u00e2u tr\u1eafc nghi\u1ec7m tr\u1ea3 l\u1eddi ng\u1eafn, t\u1ea5t c\u1ea3 \u0111\u1ec1u \u1edf m\u1ee9c v\u1eadn d\u1ee5ng.<\/li>\n<\/ul>\n<p>Trong \u0111\u00f3, 30% n\u1ed9i dung \u0111\u1ec1 thi (t\u01b0\u01a1ng \u1ee9ng 12 \u00fd) thu\u1ed9c ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 11, xoay quanh c\u00e1c ch\u1ee7 \u0111\u1ec1 nh\u01b0 h\u00ecnh h\u1ecdc kh\u00f4ng gian, l\u01b0\u1ee3ng gi\u00e1c, d\u00e3y s\u1ed1, m\u0169 \u2013 logarit, x\u00e1c su\u1ea5t c\u1ed5 \u0111i\u1ec3n v\u00e0 l\u00ed thuy\u1ebft \u0111\u1ed3 th\u1ecb. L\u01b0u \u00fd r\u1eb1ng c\u00e2u h\u1ecfi thu\u1ed9c l\u00ed thuy\u1ebft \u0111\u1ed3 th\u1ecb trong ph\u1ea7n III l\u00e0 ki\u1ebfn th\u1ee9c kh\u00f4ng b\u1eaft bu\u1ed9c t\u1ea5t c\u1ea3 h\u1ecdc sinh ph\u1ea3i n\u1eafm.<\/p>\n<p>Ph\u1ea7n l\u1edbn, 70% \u0111\u1ec1 thi (22 \u00fd) thu\u1ed9c ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 12 v\u00e0 bao g\u1ed3m \u0111\u1ea7y \u0111\u1ee7 c\u00e1c chuy\u00ean \u0111\u1ec1 c\u1ea7n thi\u1ebft. V\u1ec1 \u0111\u1ed9 kh\u00f3, \u0111\u1ec1 thi ph\u00e2n b\u1ed5 nh\u01b0 sau:<\/p>\n<ul>\n<li>25 \u00fd (73%) \u1edf m\u1ee9c nh\u1eadn bi\u1ebft \u2013 th\u00f4ng hi\u1ec3u t\u01b0\u01a1ng \u1ee9ng kho\u1ea3ng 6 \u0111i\u1ec3m. \u0110\u1ec3 \u0111\u1ea1t \u0111i\u1ec3m cao ph\u1ea7n n\u00e0y, h\u1ecdc sinh c\u1ea7n n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n, t\u1eeb \u0111\u00f3 \u00e1p d\u1ee5ng t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn trong gi\u1ea3i to\u00e1n.<\/li>\n<li>9 \u00fd (27%) \u1edf m\u1ee9c v\u1eadn d\u1ee5ng, t\u1eadp trung v\u00e0o b\u00e0i to\u00e1n \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf v\u00e0 li\u00ean m\u00f4n, thu\u1ed9c c\u00e1c ch\u1ee7 \u0111\u1ec1 h\u00e0m s\u1ed1, nguy\u00ean h\u00e0m \u2013 t\u00edch ph\u00e2n, x\u00e1c su\u1ea5t v\u00e0 h\u00ecnh h\u1ecdc kh\u00f4ng gian Oxyz, chi\u1ebfm kho\u1ea3ng 4 \u0111i\u1ec3m. H\u1ecdc sinh c\u1ea7n c\u00f3 k\u1ef9 n\u0103ng v\u00e0 ki\u1ebfn th\u1ee9c ch\u1eafc ch\u1eafn, kh\u1ea3 n\u0103ng t\u01b0 duy t\u1ed1t, m\u00f4 h\u00ecnh h\u00f3a to\u00e1n h\u1ecdc v\u00e0 b\u00ecnh t\u0129nh gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n kh\u00f3.<\/li>\n<\/ul>\n<p>Nh\u00ecn chung, \u0111\u1ec1 thi nh\u1ea5n m\u1ea1nh ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng k\u1ebft h\u1ee3p kh\u1ea3 n\u0103ng \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf, gi\u00fap h\u1ecdc sinh c\u00f3 c\u00e1i nh\u00ecn t\u1ed5ng quan v\u1ec1 n\u0103ng l\u1ef1c to\u00e1n h\u1ecdc c\u1ea7n thi\u1ebft cho k\u00ec thi.<\/p>\n<h2>Ma tr\u1eadn \u0111\u1ec1 minh ho\u1ea1 k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT n\u0103m 2025 m\u00f4n to\u00e1n<\/h2>\n<figure aria-describedby=\"caption-attachment-72\" class=\"wp-caption aligncenter\" id=\"attachment_72\"><img loading=\"lazy\" alt=\"Ma tr\u1eadn \u0111\u1ec1 minh ho\u1ea1 k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT n\u0103m 2025 m\u00f4n to\u00e1n\" class=\"wp-image-72 size-full\" decoding=\"async\" height=\"695\" sizes=\"auto, (max-width: 611px) 100vw, 611px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2024\/10\/ma-tran-de-minh-hoa-ky-thi-tot-nghiep-thpt-nam-2025-mon-toan.png\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2024\/10\/ma-tran-de-minh-hoa-ky-thi-tot-nghiep-thpt-nam-2025-mon-toan.png 611w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2024\/10\/ma-tran-de-minh-hoa-ky-thi-tot-nghiep-thpt-nam-2025-mon-toan-264x300.png 264w\" width=\"611\"\/><figcaption class=\"wp-caption-text\" id=\"caption-attachment-72\">Ma tr\u1eadn \u0111\u1ec1 minh ho\u1ea1 k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT n\u0103m 2025 m\u00f4n to\u00e1n<\/figcaption><\/figure>\n<h2>T\u1ea3i l\u1eddi gi\u1ea3i chi ti\u1ebft \u0111\u1ec1 minh ho\u1ea1 k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT n\u0103m 2025 m\u00f4n to\u00e1n<\/h2>\n<p><iframe height=\"480\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/1dphYXWHMo8NCjvnCIgRJ2Bo9MPOxuHcO\/preview\" width=\"640\"><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/1dphYXWHMo8NCjvnCIgRJ2Bo9MPOxuHcO\/view\" rel=\"nofollow noopener\" target=\"_blank\">M\u1edf t\u00e0i li\u1ec7u n\u1ebfu khung xem tr\u01b0\u1edbc kh\u00f4ng hi\u1ec3n th\u1ecb<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1Hr0gCiZGnnoSamxE_bjAX6mhOm9PLZv8\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea2I L\u1edcI GI\u1ea2I CHI TI\u1ebeT<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ph\u00e2n t\u00edch v\u00e0 \u0111\u00e1nh gi\u00e1 nhanh \u0111\u1ec1 minh ho\u1ea1 k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT n\u0103m 2025 m\u00f4n to\u00e1n \u0110\u1ec1 thi tham kh\u1ea3o c\u01a1 b\u1ea3n c\u1ee7a B\u1ed9 GD&amp;\u0110T \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf tu\u00e2n th\u1ee7 \u0111\u00fang c\u1ea5u tr\u00fac v\u00e0 \u0111\u1ecbnh d\u1ea1ng nh\u01b0 \u0111\u1ec1 minh h\u1ecda c\u00f4ng b\u1ed1 ng\u00e0y 29\/12\/2023, v\u1edbi ba ph\u1ea7n v\u00e0 t\u1ed5ng c\u1ed9ng 34 \u00fd h\u1ecfi: [&#8230;]\n","protected":false},"author":1,"featured_media":1298,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[10],"class_list":["post-98","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\/98","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=98"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/98\/revisions"}],"predecessor-version":[{"id":1299,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/98\/revisions\/1299"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1298"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=98"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=98"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=98"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}