{"id":135656,"date":"2025-06-26T15:07:19","date_gmt":"2025-06-26T08:07:19","guid":{"rendered":"https:\/\/phongvu.vn\/cong-nghe\/?p=135656"},"modified":"2025-06-27T13:09:33","modified_gmt":"2025-06-27T06:09:33","slug":"dap-an-mon-toan-de-thi-thpt-quoc-gia-2025","status":"publish","type":"post","link":"https:\/\/phongvu.vn\/cong-nghe\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025\/","title":{"rendered":"\u0110\u00e1p \u00e1n m\u00f4n To\u00e1n \u0111\u1ec1 thi t\u1ed1t nghi\u1ec7p THPT Qu\u1ed1c Gia 2025"},"content":{"rendered":"\n<p>Ch\u00fac m\u1eebng c\u00e1c s\u0129 t\u1eed \u0111\u00e3 ho\u00e0n th\u00e0nh xong m\u00f4n To\u00e1n trong <a href=\"https:\/\/phongvu.vn\/cong-nghe\/tag\/thi-thpt-quoc-gia-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT Qu\u1ed1c gia 2025<\/a> &#8211; m\u1ed9t trong nh\u1eefng m\u00f4n thi quan tr\u1ecdng, \u0111\u00f2i h\u1ecfi s\u1ef1 t\u01b0 duy logic v\u00e0 kh\u1ea3 n\u0103ng v\u1eadn d\u1ee5ng linh ho\u1ea1t ki\u1ebfn th\u1ee9c. Sau kho\u1ea3ng th\u1eddi gian t\u1eadp trung cao \u0111\u1ed9, gi\u1edd \u0111\u00e2y l\u00e0 l\u00fac c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 t\u1ea1m th\u1edf ph\u00e0o v\u00e0 c\u00f9ng nh\u00ecn l\u1ea1i \u0111\u1ec1 thi c\u0169ng nh\u01b0 \u0111\u1ed1i chi\u1ebfu v\u1edbi \u0111\u00e1p \u00e1n. Trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y, <a href=\"https:\/\/phongvu.vn\/cong-nghe\/\" data-type=\"URL\" data-id=\"https:\/\/phongvu.vn\/cong-nghe\/\" target=\"_blank\" rel=\"noreferrer noopener\">Phong V\u0169 Tech News<\/a> s\u1ebd cung c\u1ea5p g\u1ee3i \u00fd l\u1eddi gi\u1ea3i chi ti\u1ebft m\u00f4n To\u00e1n t\u1eeb c\u00e1c ngu\u1ed3n uy t\u00edn \u0111\u1ec3 c\u00e1c s\u0129 t\u1eed t\u1ef1 \u0111\u00e1nh gi\u00e1 k\u1ebft qu\u1ea3 m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c nh\u1ea5t!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"1440\" height=\"900\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025.jpg\" alt=\"\" class=\"wp-image-135684\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">Kho\u1ea3nh kh\u1eafc \u0111\u00e1ng y\u00eau gi\u1eefa s\u0129 t\u1eed v\u00e0 ph\u1ee5 huynh tr\u01b0\u1edbc th\u1ec1m THPT Qu\u1ed1c gia 2025 (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_55 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >M\u1ee5c l\u1ee5c<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\" role=\"button\"><label for=\"item-6a1f965e2a5f8\" ><span class=\"\"><span style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input aria-label=\"Toggle\" aria-label=\"item-6a1f965e2a5f8\"  type=\"checkbox\" id=\"item-6a1f965e2a5f8\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025\/#I_Tong_quan_ve_de_thi_THPT_Quoc_gia_mon_Toan_2025\" title=\"I. T\u1ed5ng quan v\u1ec1 \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n 2025\">I. T\u1ed5ng quan v\u1ec1 \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n 2025<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025\/#II_Dap_an_de_thi_THPT_Quoc_gia_mon_Toan_2025\" title=\"II. \u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n 2025\">II. \u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n 2025<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025\/#III_Tong_ket\" title=\"III. T\u1ed5ng k\u1ebft\">III. T\u1ed5ng k\u1ebft<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"I_Tong_quan_ve_de_thi_THPT_Quoc_gia_mon_Toan_2025\"><\/span><strong>I. T\u1ed5ng quan v\u1ec1 \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n 2025<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0110\u1ec1 thi To\u00e1n n\u0103m 2025 c\u00f3 nhi\u1ec1u thay \u0111\u1ed5i quan tr\u1ecdng c\u1ea3 v\u1ec1 c\u1ea5u tr\u00fac l\u1eabn n\u1ed9i dung. S\u1ed1 c\u00e2u h\u1ecfi gi\u1ea3m t\u1eeb 50 xu\u1ed1ng c\u00f2n 22 c\u00e2u, th\u1eddi gian l\u00e0m b\u00e0i v\u1eabn l\u00e0 90 ph\u00fat. \u0110\u1ec1 g\u1ed3m 3 ph\u1ea7n:<\/p>\n\n\n\n<ul>\n<li><strong>Ph\u1ea7n I<\/strong>: 12 c\u00e2u tr\u1eafc nghi\u1ec7m 4 l\u1ef1a ch\u1ecdn<\/li>\n\n\n\n<li><strong>Ph\u1ea7n II<\/strong>: 4 c\u00e2u \u0111\u00fang\/sai, m\u1ed7i c\u00e2u g\u1ed3m 4 \u00fd nh\u1ecf<\/li>\n\n\n\n<li><strong>Ph\u1ea7n III<\/strong>: 6 c\u00e2u tr\u1ea3 l\u1eddi ng\u1eafn, \u0111i\u1ec1n \u0111\u00e1p \u00e1n tr\u1ef1c ti\u1ebfp<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"1440\" height=\"900\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1.jpg\" alt=\"Th\u00ed sinh trong k\u1ef3 thi THPT Qu\u1ed1c gia 2025\" class=\"wp-image-135685\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-1-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">Th\u00ed sinh trong k\u1ef3 thi THPT Qu\u1ed1c gia 2025 (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>Thang \u0111i\u1ec3m ph\u00e2n b\u1ed1 theo m\u1ee9c \u0111\u1ed9 ho\u00e0n th\u00e0nh t\u1eebng ph\u1ea7n, t\u1ed5ng \u0111i\u1ec3m t\u1ed1i \u0111a l\u00e0 10.<\/p>\n\n\n\n<p>N\u1ed9i dung \u0111\u1ec1 bao qu\u00e1t to\u00e0n b\u1ed9 ch\u01b0\u01a1ng tr\u00ecnh THPT, t\u1eadp trung ch\u1ee7 y\u1ebfu l\u1edbp 12, c\u00f3 th\u00eam m\u1ed9t s\u1ed1 ki\u1ebfn th\u1ee9c l\u1edbp 10 v\u00e0 11. C\u00e1c chuy\u00ean \u0111\u1ec1 ch\u00ednh g\u1ed3m: \u0110\u1ea1i s\u1ed1, Gi\u1ea3i t\u00edch, H\u00ecnh h\u1ecdc, X\u00e1c su\u1ea5t \u2013 Th\u1ed1ng k\u00ea. M\u1ee9c \u0111\u1ed9 c\u00e2u h\u1ecfi \u0111\u01b0\u1ee3c chia theo t\u1ef7 l\u1ec7: 40% nh\u1eadn bi\u1ebft, 30% hi\u1ec3u, 30% v\u1eadn d\u1ee5ng (c\u00f3 c\u00e2u li\u00ean h\u1ec7 th\u1ef1c ti\u1ec5n).<\/p>\n\n\n\n<p>\u0110\u1ec1 thi n\u0103m nay h\u01b0\u1edbng \u0111\u1ebfn \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c to\u00e0n di\u1ec7n, t\u0103ng c\u01b0\u1eddng ph\u00e2n h\u00f3a v\u00e0 b\u00e1m s\u00e1t Ch\u01b0\u01a1ng tr\u00ecnh GDPT 2018. B\u1ed9 GD&amp;\u0110T \u0111\u00e3 c\u00f4ng b\u1ed1 \u0111\u1ec1 minh h\u1ecda v\u00e0 t\u00e0i li\u1ec7u \u00f4n t\u1eadp \u0111\u1ec3 h\u1ed7 tr\u1ee3 th\u00ed sinh. Ngo\u00e0i ra, n\u0103m 2025 c\u00f3 hai d\u1ea1ng \u0111\u1ec1 thi kh\u00e1c nhau, t\u00f9y theo ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc (2006 ho\u1eb7c 2018).<\/p>\n\n\n\n<p><strong>Xem th\u00eam: <\/strong><a href=\"https:\/\/phongvu.vn\/cong-nghe\/de-thi-toan-tot-nghiep-thpt-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0110\u1ec1 thi To\u00e1n T\u1ed1t nghi\u1ec7p THPT 2025 ch\u00ednh th\u1ee9c k\u00e8m \u0111\u00e1p \u00e1n<\/a><\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"II_Dap_an_de_thi_THPT_Quoc_gia_mon_Toan_2025\"><\/span><strong>II. \u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n 2025<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Hi\u1ec7n t\u1ea1i, B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0110\u00e0o t\u1ea1o v\u1eabn ch\u01b0a c\u00f4ng b\u1ed1 \u0111\u00e1p \u00e1n ch\u00ednh th\u1ee9c cho \u0111\u1ec1 thi m\u00f4n To\u00e1n trong k\u1ef3 thi THPT Qu\u1ed1c gia 2025. Nh\u01b0 th\u01b0\u1eddng l\u1ec7, \u0111\u00e1p \u00e1n t\u1eeb B\u1ed9 s\u1ebd \u0111\u01b0\u1ee3c c\u00f4ng b\u1ed1 sau khi ho\u00e0n t\u1ea5t c\u00f4ng t\u00e1c ch\u1ea5m thi nh\u1eb1m \u0111\u1ea3m b\u1ea3o t\u00ednh ch\u00ednh x\u00e1c v\u00e0 c\u00f4ng b\u1eb1ng cho t\u1ea5t c\u1ea3 th\u00ed sinh tr\u00ean c\u1ea3 n\u01b0\u1edbc. Phong V\u0169 s\u1ebd c\u1eadp nh\u1eadt nhanh ch\u00f3ng v\u00e0 \u0111\u1ea7y \u0111\u1ee7 ngay khi c\u00f3 th\u00f4ng b\u00e1o ch\u00ednh th\u1ee9c, gi\u00fap c\u00e1c b\u1ea1n ti\u1ec7n theo d\u00f5i v\u00e0 \u0111\u1ed1i chi\u1ebfu.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"1440\" height=\"900\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2.jpg\" alt=\"C\u00e1c s\u0129 t\u1eed tr\u01b0\u1edbc gi\u1edd l\u00e0m b\u00e0i thi\" class=\"wp-image-135686\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-mon-toan-de-thi-thpt-quoc-gia-2025-2-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">C\u00e1c s\u0129 t\u1eed tr\u01b0\u1edbc gi\u1edd l\u00e0m b\u00e0i thi (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>Trong l\u00fac ch\u1edd \u0111\u1ee3i, \u0111\u1ec3 ph\u1ea7n n\u00e0o gi\u1ea3i t\u1ecfa t\u00e2m l\u00fd h\u1ed3i h\u1ed9p sau k\u1ef3 thi, c\u00e1c s\u0129 t\u1eed c\u00f3 th\u1ec3 tham kh\u1ea3o tr\u01b0\u1edbc g\u1ee3i \u00fd \u0111\u00e1p \u00e1n v\u00e0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i chi ti\u1ebft t\u1eeb c\u00e1c th\u1ea7y c\u00f4 v\u00e0 chuy\u00ean gia gi\u00e1o d\u1ee5c gi\u00e0u kinh nghi\u1ec7m. \u0110\u00e2y \u0111\u1ec1u l\u00e0 nh\u1eefng ngu\u1ed3n \u0111\u00e1ng tin c\u1eady \u0111\u00e3 \u0111\u01b0\u1ee3c Phong V\u0169 Tech News ch\u1ecdn l\u1ecdc v\u00e0 t\u1ed5ng h\u1ee3p d\u01b0\u1edbi \u0111\u00e2y, h\u1ed7 tr\u1ee3 th\u00ed sinh t\u1ef1 \u0111\u00e1nh gi\u00e1 k\u1ebft qu\u1ea3 m\u1ed9t c\u00e1ch kh\u00e1ch quan v\u00e0 ch\u00ednh x\u00e1c nh\u1ea5t.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1440\" height=\"546\" src=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-1440x546.jpg\" alt=\"\" class=\"wp-image-136193\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-1440x546.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-300x114.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-768x291.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-1536x582.jpg 1536w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-150x57.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-600x227.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-696x264.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-1392x528.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-1068x405.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025-1108x420.jpg 1108w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-thpt-quoc-gia-mon-toan-2025.jpg 1905w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">\u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia 2025 m\u00f4n To\u00e1n tham kh\u1ea3o (Ngu\u1ed3n: Th\u1ea7y H\u1ed3 Th\u1ee9c Thu\u1eadn)<\/figcaption><\/figure>\n\n\n\n<p><em>(Phong V\u0169 s\u1ebd c\u1eadp nh\u1eadt li\u00ean t\u1ee5c khi c\u00f3 \u0111\u00e1p \u00e1n ch\u00ednh th\u1ee9c t\u1eeb B\u1ed9 GD&amp;\u0110T)<\/em><\/p>\n\n\n\n<p><strong>Xem th\u00eam: <\/strong><a href=\"https:\/\/phongvu.vn\/cong-nghe\/de-thi-va-dap-an-tat-ca-cac-mon-tot-nghiep-thpt-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">Tr\u1ecdn b\u1ed9 \u0111\u1ec1 thi v\u00e0 \u0111\u00e1p \u00e1n t\u1ea5t c\u1ea3 c\u00e1c m\u00f4n t\u1ed1t nghi\u1ec7p THPT 2025<\/a><\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"III_Tong_ket\"><\/span><strong>III. T\u1ed5ng k\u1ebft<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>K\u1ef3 thi THPT Qu\u1ed1c gia 2025 m\u00f4n To\u00e1n \u0111\u00e3 ch\u00ednh th\u1ee9c k\u1ebft th\u00fac, \u0111\u1ec3 l\u1ea1i nhi\u1ec1u \u0111i\u1ec3m nh\u1ea5n m\u1edbi trong c\u1ea5u tr\u00fac v\u00e0 c\u00e1ch th\u1ee9c ra \u0111\u1ec1 ph\u1ea3n \u00e1nh r\u00f5 \u0111\u1ecbnh h\u01b0\u1edbng \u0111\u1ed5i m\u1edbi gi\u00e1o d\u1ee5c hi\u1ec7n nay. D\u00f9 c\u00f2n ph\u1ea3i ch\u1edd \u0111\u00e1p \u00e1n ch\u00ednh th\u1ee9c t\u1eeb B\u1ed9, vi\u1ec7c \u0111\u1ed1i chi\u1ebfu v\u1edbi g\u1ee3i \u00fd t\u1eeb c\u00e1c ngu\u1ed3n uy t\u00edn s\u1ebd ph\u1ea7n n\u00e0o gi\u00fap c\u00e1c b\u1ea1n th\u00ed sinh t\u1ef1 \u0111\u00e1nh gi\u00e1 n\u0103ng l\u1ef1c c\u1ee7a m\u00ecnh. Ch\u1eb7ng \u0111\u01b0\u1eddng \u00f4n luy\u1ec7n v\u1eabn \u0111ang ti\u1ebfp di\u1ec5n, nh\u01b0ng v\u1edbi m\u00f4n To\u00e1n \u0111\u00e3 ho\u00e0n th\u00e0nh, c\u00e1c s\u0129 t\u1eed c\u00f3 th\u1ec3 t\u1ea1m th\u1eddi nh\u00ecn l\u1ea1i h\u00e0nh tr\u00ecnh n\u1ed7 l\u1ef1c c\u1ee7a m\u00ecnh v\u00e0 ti\u1ebfp th\u00eam \u0111\u1ed9ng l\u1ef1c \u0111\u1ec3 v\u1eefng v\u00e0ng b\u01b0\u1edbc v\u00e0o nh\u1eefng m\u00f4n thi ti\u1ebfp theo.<\/p>\n\n\n\n<p><strong>B\u00e0i vi\u1ebft li\u00ean quan:<\/strong><\/p>\n\n\n\n<ul>\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/cac-khoi-thi-dai-hoc-va-cac-nganh-nghe-tuong-ung\/\" target=\"_blank\" rel=\"noreferrer noopener\">C\u00e1c kh\u1ed1i thi \u0111\u1ea1i h\u1ecdc v\u00e0 c\u00e1c ng\u00e0nh ngh\u1ec1 t\u01b0\u01a1ng \u1ee9ng 2025<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/cach-tinh-diem-thi-dai-hoc\/\" target=\"_blank\" rel=\"noreferrer noopener\">C\u00e1ch t\u00ednh \u0111i\u1ec3m thi \u0110\u1ea1i h\u1ecdc n\u0103m 2025 chu\u1ea9n nh\u1ea5t cho s\u0129 t\u1eed 2k7<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/moi-mon-can-bao-nhieu-diem-de-do-tot-nghiep-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">M\u1ed7i m\u00f4n c\u1ea7n bao nhi\u00eau \u0111i\u1ec3m \u0111\u1ec3 \u0111\u1ed7 t\u1ed1t nghi\u1ec7p 2025?<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Ch\u00fac m\u1eebng c\u00e1c s\u0129 t\u1eed \u0111\u00e3 ho\u00e0n th\u00e0nh xong m\u00f4n To\u00e1n trong k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT Qu\u1ed1c gia 2025 &#8211; m\u1ed9t trong nh\u1eefng m\u00f4n thi quan tr\u1ecdng, \u0111\u00f2i h\u1ecfi s\u1ef1 t\u01b0 duy logic v\u00e0 kh\u1ea3 n\u0103ng v\u1eadn d\u1ee5ng linh ho\u1ea1t ki\u1ebfn th\u1ee9c. Sau kho\u1ea3ng th\u1eddi gian t\u1eadp trung cao \u0111\u1ed9, gi\u1edd \u0111\u00e2y l\u00e0 l\u00fac [&hellip;]<\/p>\n","protected":false},"author":40,"featured_media":135684,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[4382],"tags":[4375],"_links":{"self":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/135656"}],"collection":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/users\/40"}],"replies":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/comments?post=135656"}],"version-history":[{"count":5,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/135656\/revisions"}],"predecessor-version":[{"id":136194,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/135656\/revisions\/136194"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/media\/135684"}],"wp:attachment":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/media?parent=135656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/categories?post=135656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/tags?post=135656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}