{"id":132175,"date":"2025-06-02T15:15:41","date_gmt":"2025-06-02T08:15:41","guid":{"rendered":"https:\/\/phongvu.vn\/cong-nghe\/?p=132175"},"modified":"2025-06-04T11:33:18","modified_gmt":"2025-06-04T04:33:18","slug":"dap-an-de-thi-toan-thpt-quoc-gia-2024","status":"publish","type":"post","link":"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/","title":{"rendered":"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi To\u00e1n THPT Qu\u1ed1c gia 2024 ch\u00ednh x\u00e1c v\u00e0 \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t"},"content":{"rendered":"\n<p>K\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT Qu\u1ed1c gia n\u0103m 2024 \u0111\u00e3 kh\u00e9p l\u1ea1i, \u0111\u1ec3 l\u1ea1i nhi\u1ec1u \u1ea5n t\u01b0\u1ee3ng v\u1edbi \u0111\u1ec1 thi m\u00f4n To\u00e1n \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 l\u00e0 c\u00f3 c\u1ea5u tr\u00fac \u1ed5n \u0111\u1ecbnh v\u00e0 m\u1ee9c \u0111\u1ed9 ph\u00e2n h\u00f3a h\u1ee3p l\u00fd. Trong b\u00e0i vi\u1ebft n\u00e0y, <a href=\"https:\/\/phongvu.vn\/cong-nghe\/\" target=\"_blank\" rel=\"noreferrer noopener\">Phong V\u0169 Tech News<\/a> s\u1ebd cung c\u1ea5p cho b\u1ea1n c\u00e1i nh\u00ecn t\u1ed5ng quan v\u1ec1 \u0111\u1ec1 thi, \u0111\u00e1p \u00e1n \u0111\u1ec1 thi to\u00e1n THPT qu\u1ed1c gia 2024 ch\u00ednh th\u1ee9c cho t\u1eebng m\u00e3 \u0111\u1ec1, ph\u00e2n t\u00edch c\u00e1c c\u00e2u h\u1ecfi d\u1ec5 g\u00e2y nh\u1ea7m l\u1eabn v\u00e0 \u0111\u01b0a ra l\u1eddi khuy\u00ean h\u1eefu \u00edch cho c\u00e1c th\u00ed sinh chu\u1ea9n b\u1ecb cho k\u1ef3 thi n\u0103m 2025.<\/p>\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-6a2213bb9ead5\" ><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-6a2213bb9ead5\"  type=\"checkbox\" id=\"item-6a2213bb9ead5\"><\/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-de-thi-toan-thpt-quoc-gia-2024\/#I_Tong_quan_de_thi_Toan_2024_theo_phan_bo_noi_dung_kien_thuc\" title=\"I. T\u1ed5ng quan \u0111\u1ec1 thi To\u00e1n 2024 theo ph\u00e2n b\u1ed1 n\u1ed9i dung ki\u1ebfn th\u1ee9c\">I. T\u1ed5ng quan \u0111\u1ec1 thi To\u00e1n 2024 theo ph\u00e2n b\u1ed1 n\u1ed9i dung ki\u1ebfn th\u1ee9c<\/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-de-thi-toan-thpt-quoc-gia-2024\/#II_Dap_an_de_thi_Toan_THPT_Quoc_gia_2024_cho_tung_ma_de\" title=\"II. \u0110\u00e1p \u00e1n \u0111\u1ec1 thi To\u00e1n THPT Qu\u1ed1c gia 2024 cho t\u1eebng m\u00e3 \u0111\u1ec1\">II. \u0110\u00e1p \u00e1n \u0111\u1ec1 thi To\u00e1n THPT Qu\u1ed1c gia 2024 cho t\u1eebng m\u00e3 \u0111\u1ec1<\/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-de-thi-toan-thpt-quoc-gia-2024\/#III_Cac_cau_%E2%80%9Cbay%E2%80%9D_khien_thi_sinh_de_mat_diem\" title=\"III. C\u00e1c c\u00e2u \u201cb\u1eaby\u201d khi\u1ebfn th\u00ed sinh d\u1ec5 m\u1ea5t \u0111i\u1ec3m\">III. C\u00e1c c\u00e2u \u201cb\u1eaby\u201d khi\u1ebfn th\u00ed sinh d\u1ec5 m\u1ea5t \u0111i\u1ec3m<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#1_Cau_hoi_ve_khao_sat_ham_so\" title=\"1. C\u00e2u h\u1ecfi v\u1ec1 kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1\">1. C\u00e2u h\u1ecfi v\u1ec1 kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#2_Phuong_trinh_logarit_va_mu\" title=\"2. Ph\u01b0\u01a1ng tr\u00ecnh logarit v\u00e0 m\u0169\">2. Ph\u01b0\u01a1ng tr\u00ecnh logarit v\u00e0 m\u0169<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#3_Bai_toan_tich_phan\" title=\"3. B\u00e0i to\u00e1n t\u00edch ph\u00e2n\">3. B\u00e0i to\u00e1n t\u00edch ph\u00e2n<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#4_Hinh_hoc_khong_gian\" title=\"4. H\u00ecnh h\u1ecdc kh\u00f4ng gian\">4. H\u00ecnh h\u1ecdc kh\u00f4ng gian<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#5_So_phuc\" title=\"5. S\u1ed1 ph\u1ee9c\">5. S\u1ed1 ph\u1ee9c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#6_Xac_suat_va_to_hop\" title=\"6. X\u00e1c su\u1ea5t v\u00e0 t\u1ed5 h\u1ee3p\">6. X\u00e1c su\u1ea5t v\u00e0 t\u1ed5 h\u1ee3p<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#IV_Loi_khuyen_danh_cho_si_tu_thi_THPT_Quoc_gia_mon_Toan_nam_2025\" title=\"IV. L\u1eddi khuy\u00ean d\u00e0nh cho s\u0129 t\u1eed thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n n\u0103m 2025\">IV. L\u1eddi khuy\u00ean d\u00e0nh cho s\u0129 t\u1eed thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n n\u0103m 2025<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#1_Ve_chien_luoc_on_tap\" title=\"1. V\u1ec1 chi\u1ebfn l\u01b0\u1ee3c \u00f4n t\u1eadp\">1. V\u1ec1 chi\u1ebfn l\u01b0\u1ee3c \u00f4n t\u1eadp<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#2_Ve_phuong_phap_hoc_tap\" title=\"2. V\u1ec1 ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc t\u1eadp\">2. V\u1ec1 ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc t\u1eadp<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#3_Ve_ky_thuat_lam_bai\" title=\"3. V\u1ec1 k\u1ef9 thu\u1eadt l\u00e0m b\u00e0i\">3. V\u1ec1 k\u1ef9 thu\u1eadt l\u00e0m b\u00e0i<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#4_Ve_chuan_bi_tam_ly\" title=\"4. V\u1ec1 chu\u1ea9n b\u1ecb t\u00e2m l\u00fd\">4. V\u1ec1 chu\u1ea9n b\u1ecb t\u00e2m l\u00fd<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/phongvu.vn\/cong-nghe\/dap-an-de-thi-toan-thpt-quoc-gia-2024\/#V_Tong_ket\" title=\"V. T\u1ed5ng k\u1ebft\">V. T\u1ed5ng k\u1ebft<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"I_Tong_quan_de_thi_Toan_2024_theo_phan_bo_noi_dung_kien_thuc\"><\/span><a><\/a><strong>I. T\u1ed5ng quan \u0111\u1ec1 thi To\u00e1n 2024 theo ph\u00e2n b\u1ed1 n\u1ed9i dung ki\u1ebfn th\u1ee9c<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0110\u1ec1 thi To\u00e1n t\u1ed1t nghi\u1ec7p THPT n\u0103m 2024 \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf theo c\u1ea5u tr\u00fac truy\u1ec1n th\u1ed1ng v\u1edbi 50 c\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn, m\u1ed7i c\u00e2u c\u00f3 4 ph\u01b0\u01a1ng \u00e1n \u0111\u1ec3 th\u00ed sinh ch\u1ecdn 1 \u0111\u00e1p \u00e1n \u0111\u00fang. Th\u1eddi gian l\u00e0m b\u00e0i l\u00e0 90 ph\u00fat, t\u1ed5ng \u0111i\u1ec3m t\u1ed1i \u0111a l\u00e0 10 \u0111i\u1ec3m.<\/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-de-thi-toan-thpt-quoc-gia-2024-2.jpg\" alt=\"C\u00e1c s\u0129 t\u1eed \u00f4n luy\u1ec7n tr\u01b0\u1edbc khi b\u01b0\u1edbc v\u00e0o k\u00ec thi\" class=\"wp-image-132180\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-2-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">C\u00e1c s\u0129 t\u1eed \u00f4n luy\u1ec7n tr\u01b0\u1edbc khi b\u01b0\u1edbc v\u00e0o k\u00ec thi (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>V\u1ec1 ph\u00e2n b\u1ed1 n\u1ed9i dung ki\u1ebfn th\u1ee9c, \u0111\u1ec1 thi bao qu\u00e1t \u0111\u1ea7y \u0111\u1ee7 c\u00e1c ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n t\u1eeb l\u1edbp 10 \u0111\u1ebfn l\u1edbp 12. C\u00e1c ch\u1ee7 \u0111\u1ec1 ch\u00ednh \u0111\u01b0\u1ee3c \u0111\u01b0a v\u00e0o \u0111\u1ec1 thi bao g\u1ed3m:<\/p>\n\n\n\n<p><strong>\u0110\u1ea1i s\u1ed1 v\u00e0 Gi\u1ea3i t\u00edch (chi\u1ebfm kho\u1ea3ng 60-65% t\u1ed5ng s\u1ed1 c\u00e2u):<\/strong><\/p>\n\n\n\n<ul>\n<li>H\u00e0m s\u1ed1 v\u00e0 \u0111\u1ed3 th\u1ecb: Kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1, t\u00ecm c\u1ef1c tr\u1ecb, ti\u1ec7m c\u1eadn<\/li>\n\n\n\n<li>Logarit v\u00e0 m\u0169: Ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh logarit v\u00e0 m\u0169<\/li>\n\n\n\n<li>T\u00edch ph\u00e2n: T\u00ednh di\u1ec7n t\u00edch, th\u1ec3 t\u00edch kh\u1ed1i tr\u00f2n xoay<\/li>\n\n\n\n<li>S\u1ed1 ph\u1ee9c: C\u00e1c ph\u00e9p to\u00e1n c\u01a1 b\u1ea3n v\u1edbi s\u1ed1 ph\u1ee9c<\/li>\n\n\n\n<li>D\u00e3y s\u1ed1, c\u1ea5p s\u1ed1 c\u1ed9ng, c\u1ea5p s\u1ed1 nh\u00e2n<\/li>\n<\/ul>\n\n\n\n<p><strong>H\u00ecnh h\u1ecdc (chi\u1ebfm kho\u1ea3ng 25-30% t\u1ed5ng s\u1ed1 c\u00e2u):<\/strong><\/p>\n\n\n\n<ul>\n<li>H\u00ecnh h\u1ecdc kh\u00f4ng gian: Kh\u1ed1i \u0111a di\u1ec7n, m\u1eb7t c\u1ea7u, h\u00ecnh tr\u1ee5, h\u00ecnh n\u00f3n<\/li>\n\n\n\n<li>T\u1ecda \u0111\u1ed9 trong kh\u00f4ng gian: Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng, \u0111\u01b0\u1eddng th\u1eb3ng<\/li>\n\n\n\n<li>H\u00ecnh h\u1ecdc ph\u1eb3ng: \u0110\u01b0\u1eddng tr\u00f2n, elip, parabol, hypebol<\/li>\n<\/ul>\n\n\n\n<p><strong>X\u00e1c su\u1ea5t v\u00e0 Th\u1ed1ng k\u00ea (chi\u1ebfm kho\u1ea3ng 10-15% t\u1ed5ng s\u1ed1 c\u00e2u):<\/strong><\/p>\n\n\n\n<ul>\n<li>X\u00e1c su\u1ea5t c\u1ed5 \u0111i\u1ec3n v\u00e0 x\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n<\/li>\n\n\n\n<li>Bi\u1ebfn c\u1ed1, kh\u00f4ng gian m\u1eabu<\/li>\n\n\n\n<li>Th\u1ed1ng k\u00ea m\u00f4 t\u1ea3<\/li>\n<\/ul>\n\n\n\n<p>\u0110\u1ec1 thi \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 c\u00f3 c\u1ea5u tr\u00fac quen thu\u1ed9c, ph\u00f9 h\u1ee3p v\u1edbi ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc v\u00e0 \u0111\u1ec1 thi minh h\u1ecda \u0111\u00e3 c\u00f4ng b\u1ed1 tr\u01b0\u1edbc \u0111\u00f3. Ph\u1ea7n l\u1edbn c\u00e1c c\u00e2u h\u1ecfi \u1edf m\u1ee9c \u0111\u1ed9 nh\u1eadn bi\u1ebft v\u00e0 th\u00f4ng hi\u1ec3u, gi\u00fap \u0111a s\u1ed1 th\u00ed sinh c\u00f3 th\u1ec3 l\u00e0m \u0111\u01b0\u1ee3c \u0111\u1ec3 \u0111\u1ea1t \u0111i\u1ec3m li\u1ec7t.<\/p>\n\n\n\n<p><strong>Xem th\u00eam: <\/strong><a href=\"https:\/\/phongvu.vn\/cong-nghe\/tong-hop-de-thi-thpt-quoc-gia-2024\/\" target=\"_blank\" data-type=\"URL\" data-id=\"https:\/\/phongvu.vn\/cong-nghe\/tong-hop-de-thi-thpt-quoc-gia-2024\/\" rel=\"noreferrer noopener\">T\u1ed5ng h\u1ee3p \u0111\u1ec1 thi THPT Qu\u1ed1c gia 2024 t\u1ea5t c\u1ea3 c\u00e1c m\u00f4n (c\u00f3 \u0111\u00e1p \u00e1n)<\/a><\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"II_Dap_an_de_thi_Toan_THPT_Quoc_gia_2024_cho_tung_ma_de\"><\/span><a><\/a><strong>II. \u0110\u00e1p \u00e1n \u0111\u1ec1 thi To\u00e1n THPT Qu\u1ed1c gia 2024 cho t\u1eebng m\u00e3 \u0111\u1ec1<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0110\u00e1p \u00e1n ch\u00ednh th\u1ee9c cho t\u1ea5t c\u1ea3 24 m\u00e3 \u0111\u1ec1 \u0111\u00e3 \u0111\u01b0\u1ee3c B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0110\u00e0o t\u1ea1o c\u00f4ng b\u1ed1, gi\u00fap th\u00ed sinh v\u00e0 gi\u00e1o vi\u00ean \u0111\u1ed1i chi\u1ebfu k\u1ebft qu\u1ea3 m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 m\u00e3 \u0111\u1ec1 ti\u00eau bi\u1ec3u:<\/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-de-thi-toan-thpt-quoc-gia-2024-3.jpg\" alt=\"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi To\u00e1n THPT Qu\u1ed1c gia 2024\" class=\"wp-image-132181\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-3-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">\u0110\u00e1p \u00e1n \u0111\u1ec1 thi To\u00e1n THPT Qu\u1ed1c gia 2024 (Ngu\u1ed3n: B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0110\u00e0o t\u1ea1o)<\/figcaption><\/figure>\n\n\n\n<p>Vi\u1ec7c \u0111\u1ed1i chi\u1ebfu \u0111\u00e1p \u00e1n gi\u00fap th\u00ed sinh \u0111\u00e1nh gi\u00e1 \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 c\u1ee7a m\u00ecnh v\u00e0 r\u00fat kinh nghi\u1ec7m cho c\u00e1c k\u1ef3 thi ti\u1ebfp theo. B\u1ea1n c\u00f3 th\u1ec3 t\u1ea3i v\u1ec1 \u0111\u00e1p \u00e1n \u0111\u1ec1 thi To\u00e1n THPT Qu\u1ed1c gia 2024 <a href=\"https:\/\/drive.google.com\/file\/d\/1_hRqi4629HYF-Nev-70WA3AHL-xoxDPe\/view\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">t\u1ea1i \u0111\u00e2y.<\/a><\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"III_Cac_cau_%E2%80%9Cbay%E2%80%9D_khien_thi_sinh_de_mat_diem\"><\/span><a><\/a><strong>III. C\u00e1c c\u00e2u \u201cb\u1eaby\u201d khi\u1ebfn th\u00ed sinh d\u1ec5 m\u1ea5t \u0111i\u1ec3m<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Trong \u0111\u1ec1 thi To\u00e1n THPT qu\u1ed1c gia 2024, c\u00f3 m\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf kh\u00e9o l\u00e9o \u0111\u1ec3 &#8220;\u0111\u00e1nh l\u1eeba&#8221; th\u00ed sinh, \u0111\u1eb7c bi\u1ec7t l\u00e0 nh\u1eefng em c\u00f3 ki\u1ebfn th\u1ee9c ch\u01b0a v\u1eefng ch\u1eafc ho\u1eb7c thi\u1ebfu c\u1ea9n th\u1eadn trong qu\u00e1 tr\u00ecnh gi\u1ea3i b\u00e0i.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"1_Cau_hoi_ve_khao_sat_ham_so\"><\/span><a><\/a><strong>1. C\u00e2u h\u1ecfi v\u1ec1 kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\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-de-thi-toan-thpt-quoc-gia-2024-4.jpg\" alt=\"Th\u00ed sinh tham gia v\u00e0o k\u00ec thi THPT Qu\u1ed1c gia \" class=\"wp-image-132182\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-4-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">Th\u00ed sinh tham gia v\u00e0o k\u00ec thi THPT Qu\u1ed1c gia (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>Nhi\u1ec1u c\u00e2u h\u1ecfi y\u00eau c\u1ea7u t\u00ecm gi\u00e1 tr\u1ecb c\u1ef1c \u0111\u1ea1i, c\u1ef1c ti\u1ec3u c\u1ee7a h\u00e0m s\u1ed1 nh\u01b0ng l\u1ea1i \u0111\u01b0a ra c\u00e1c ph\u01b0\u01a1ng \u00e1n g\u00e2y nh\u1ea7m l\u1eabn. V\u00ed d\u1ee5, khi t\u00ecm c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1, th\u00ed sinh th\u01b0\u1eddng nh\u1ea7m l\u1eabn gi\u1eefa t\u1ecda \u0111\u1ed9 \u0111i\u1ec3m c\u1ef1c tr\u1ecb v\u00e0 gi\u00e1 tr\u1ecb c\u1ef1c tr\u1ecb. M\u1ed9t s\u1ed1 c\u00e2u c\u00f2n y\u00eau c\u1ea7u t\u00ecm s\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb tr\u00ean m\u1ed9t kho\u1ea3ng c\u1ee5 th\u1ec3, bu\u1ed9c th\u00ed sinh ph\u1ea3i ki\u1ec3m tra k\u1ef9 \u0111i\u1ec1u ki\u1ec7n c\u1ee7a kho\u1ea3ng \u0111\u00e3 cho.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"2_Phuong_trinh_logarit_va_mu\"><\/span><a><\/a><strong>2. Ph\u01b0\u01a1ng tr\u00ecnh logarit v\u00e0 m\u0169<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u0110\u00e2y l\u00e0 d\u1ea1ng b\u00e0i th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n c\u00e1c &#8220;b\u1eaby&#8221; v\u1ec1 \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh. Nhi\u1ec1u th\u00ed sinh qu\u00ean ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n c\u1ee7a logarit (c\u01a1 s\u1ed1 v\u00e0 bi\u1ec3u th\u1ee9c trong d\u1ea5u logarit ph\u1ea3i d\u01b0\u01a1ng) ho\u1eb7c kh\u00f4ng ch\u00fa \u00fd \u0111\u1ebfn mi\u1ec1n gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 m\u0169. M\u1ed9t s\u1ed1 c\u00e2u c\u00f2n y\u00eau c\u1ea7u gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nhi\u1ec1u \u1ea9n, \u0111\u00f2i h\u1ecfi th\u00ed sinh ph\u1ea3i bi\u1ebft c\u00e1ch \u0111\u1eb7t \u1ea9n ph\u1ee5 m\u1ed9t c\u00e1ch kh\u00e9o l\u00e9o.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"3_Bai_toan_tich_phan\"><\/span><a><\/a><strong>3. B\u00e0i to\u00e1n t\u00edch ph\u00e2n<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\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-de-thi-toan-thpt-quoc-gia-2024-5.jpg\" alt=\"C\u00e1c th\u00ed sinh th\u1ea3o lu\u1eadn v\u1ec1 \u0111\u1ec1 thi\" class=\"wp-image-132183\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-5-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">C\u00e1c th\u00ed sinh th\u1ea3o lu\u1eadn v\u1ec1 \u0111\u1ec1 thi (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>C\u00e1c c\u00e2u h\u1ecfi v\u1ec1 t\u00edch ph\u00e2n th\u01b0\u1eddng c\u00f3 &#8220;b\u1eaby&#8221; \u1edf vi\u1ec7c x\u00e1c \u0111\u1ecbnh c\u1eadn t\u00edch ph\u00e2n v\u00e0 c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch, th\u1ec3 t\u00edch. Nhi\u1ec1u th\u00ed sinh nh\u1ea7m l\u1eabn gi\u1eefa di\u1ec7n t\u00edch h\u00ecnh ph\u1eb3ng v\u00e0 th\u1ec3 t\u00edch kh\u1ed1i tr\u00f2n xoay ho\u1eb7c kh\u00f4ng ch\u00fa \u00fd \u0111\u1ebfn d\u1ea5u c\u1ee7a h\u00e0m s\u1ed1 tr\u00ean kho\u1ea3ng t\u00edch ph\u00e2n.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"4_Hinh_hoc_khong_gian\"><\/span><a><\/a><strong>4. H\u00ecnh h\u1ecdc kh\u00f4ng gian<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u0110\u00e2y l\u00e0 ph\u1ea7n nhi\u1ec1u h\u1ecdc sinh &#8220;ng\u1ea1i&#8221; nh\u1ea5t. C\u00e1c c\u00e2u h\u1ecfi th\u01b0\u1eddng y\u00eau c\u1ea7u t\u00ednh kho\u1ea3ng c\u00e1ch, g\u00f3c gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 m\u1eb7t ph\u1eb3ng. &#8220;B\u1eaby&#8221; th\u01b0\u1eddng g\u1eb7p l\u00e0 vi\u1ec7c x\u00e1c \u0111\u1ecbnh sai t\u1ecda \u0111\u1ed9 c\u00e1c \u0111i\u1ec3m, vi\u1ebft sai ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng ho\u1eb7c nh\u1ea7m l\u1eabn trong c\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"5_So_phuc\"><\/span><a><\/a><strong>5. S\u1ed1 ph\u1ee9c<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>M\u1eb7c d\u00f9 \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 l\u00e0 ph\u1ea7n t\u01b0\u01a1ng \u0111\u1ed1i d\u1ec5 nh\u01b0ng s\u1ed1 ph\u1ee9c v\u1eabn c\u00f3 nh\u1eefng &#8220;b\u1eaby&#8221; nh\u1ecf nh\u01b0 nh\u1ea7m l\u1eabn gi\u1eefa ph\u1ea7n th\u1ef1c v\u00e0 ph\u1ea7n \u1ea3o, qu\u00ean quy t\u1eafc nh\u00e2n chia s\u1ed1 ph\u1ee9c ho\u1eb7c kh\u00f4ng n\u1eafm v\u1eefng \u0111\u1ecbnh ngh\u0129a m\u00f4\u0111un c\u1ee7a s\u1ed1 ph\u1ee9c.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"6_Xac_suat_va_to_hop\"><\/span><a><\/a><strong>6. X\u00e1c su\u1ea5t v\u00e0 t\u1ed5 h\u1ee3p<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\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-de-thi-toan-thpt-quoc-gia-2024-6.jpg\" alt=\"\u0110\u1ec1 thi x\u00e1c su\u1ea5t v\u00e0 t\u1ed5 h\u1ee3p c\u1ea7n ph\u1ea3i t\u1eadp trung gi\u1ea3i k\u1ef9 n\u1ebfu kh\u00f4ng mu\u1ed1n b\u1ecb m\u1ea5t \u0111i\u1ec3m \" class=\"wp-image-132184\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-6-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">\u0110\u1ec1 thi x\u00e1c su\u1ea5t v\u00e0 t\u1ed5 h\u1ee3p c\u1ea7n ph\u1ea3i t\u1eadp trung gi\u1ea3i k\u1ef9 n\u1ebfu kh\u00f4ng mu\u1ed1n b\u1ecb m\u1ea5t \u0111i\u1ec3m (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>C\u00e1c c\u00e2u h\u1ecfi x\u00e1c su\u1ea5t th\u01b0\u1eddng c\u00f3 &#8220;b\u1eaby&#8221; \u1edf vi\u1ec7c x\u00e1c \u0111\u1ecbnh kh\u00f4ng gian m\u1eabu v\u00e0 bi\u1ebfn c\u1ed1. Nhi\u1ec1u th\u00ed sinh nh\u1ea7m l\u1eabn gi\u1eefa ho\u00e1n v\u1ecb, ch\u1ec9nh h\u1ee3p v\u00e0 t\u1ed5 h\u1ee3p, ho\u1eb7c kh\u00f4ng ph\u00e2n bi\u1ec7t \u0111\u01b0\u1ee3c x\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n v\u00e0 x\u00e1c su\u1ea5t th\u00f4ng th\u01b0\u1eddng.<\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"IV_Loi_khuyen_danh_cho_si_tu_thi_THPT_Quoc_gia_mon_Toan_nam_2025\"><\/span><a><\/a><strong>IV. L\u1eddi khuy\u00ean d\u00e0nh cho s\u0129 t\u1eed thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n n\u0103m 2025<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>T\u1eeb kinh nghi\u1ec7m r\u00fat ra trong k\u1ef3 thi n\u0103m 2024 v\u00e0 xu h\u01b0\u1edbng ra \u0111\u1ec1 nh\u1eefng n\u0103m g\u1ea7n \u0111\u00e2y, c\u00e1c th\u00ed sinh chu\u1ea9n b\u1ecb thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n n\u0103m 2025 c\u1ea7n x\u00e2y d\u1ef1ng m\u1ed9t chi\u1ebfn l\u01b0\u1ee3c h\u1ecdc t\u1eadp v\u00e0 \u00f4n luy\u1ec7n to\u00e0n di\u1ec7n. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 nh\u1eefng l\u1eddi khuy\u00ean quan tr\u1ecdng gi\u00fap b\u1ea1n n\u00e2ng cao hi\u1ec7u qu\u1ea3 h\u1ecdc v\u00e0 l\u00e0m b\u00e0i.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"1_Ve_chien_luoc_on_tap\"><\/span><a><\/a><strong>1. V\u1ec1 chi\u1ebfn l\u01b0\u1ee3c \u00f4n t\u1eadp<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\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-de-thi-toan-thpt-quoc-gia-2024-7.jpg\" alt=\"\u00d4n luy\u1ec7n k\u1ef9 c\u00e1c c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n tr\u01b0\u1edbc khi b\u1eaft \u0111\u1ea7u thi\" class=\"wp-image-132185\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-7-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">\u00d4n luy\u1ec7n k\u1ef9 c\u00e1c c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n tr\u01b0\u1edbc khi b\u1eaft \u0111\u1ea7u thi (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>Th\u1ee9 nh\u1ea5t, c\u1ea7n n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n. 40 c\u00e2u \u0111\u1ea7u trong \u0111\u1ec1 thi th\u01b0\u1eddng \u1edf m\u1ee9c \u0111\u1ed9 nh\u1eadn bi\u1ebft v\u00e0 th\u00f4ng hi\u1ec3u, \u0111\u00e2y l\u00e0 &#8220;m\u00f3n c\u01a1m&#8221; m\u00e0 c\u00e1c em c\u1ea7n ph\u1ea3i &#8220;\u0103n ch\u1eafc&#8221;. H\u00e3y \u01b0u ti\u00ean \u00f4n t\u1eadp k\u1ef9 c\u00e1c c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n, \u0111\u1ecbnh l\u00fd quan tr\u1ecdng v\u00e0 c\u00e1c d\u1ea1ng b\u00e0i \u0111i\u1ec3n h\u00ecnh.<\/p>\n\n\n\n<p>Th\u1ee9 hai, t\u0103ng c\u01b0\u1eddng luy\u1ec7n t\u1eadp c\u00e1c c\u00e2u h\u1ecfi ph\u00e2n h\u00f3a. 10 c\u00e2u cu\u1ed1i th\u01b0\u1eddng quy\u1ebft \u0111\u1ecbnh vi\u1ec7c \u0111\u1ea1t \u0111i\u1ec3m cao hay kh\u00f4ng. C\u00e1c em n\u00ean d\u00e0nh th\u1eddi gian \u0111\u1ec3 hi\u1ec3u s\u00e2u v\u1ec1 b\u1ea3n ch\u1ea5t c\u00e1c b\u00e0i to\u00e1n, kh\u00f4ng ch\u1ec9 h\u1ecdc thu\u1ed9c l\u00f2ng c\u00f4ng th\u1ee9c.<\/p>\n\n\n\n<p>Th\u1ee9 ba, luy\u1ec7n t\u1eadp l\u00e0m b\u00e0i trong th\u1eddi gian quy \u0111\u1ecbnh. 90 ph\u00fat cho 50 c\u00e2u c\u00f3 ngh\u0129a l\u00e0 trung b\u00ecnh m\u1ed7i c\u00e2u ch\u1ec9 c\u00f3 1,8 ph\u00fat. C\u00e1c em c\u1ea7n r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng t\u00ednh to\u00e1n nhanh v\u00e0 ch\u00ednh x\u00e1c.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"2_Ve_phuong_phap_hoc_tap\"><\/span><a><\/a><strong>2. V\u1ec1 ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc t\u1eadp<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\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-de-thi-toan-thpt-quoc-gia-2024-8.jpg\" alt=\"B\u1ea1n c\u1ea7n x\u00e2y d\u1ef1ng \u0111\u1ea7y \u0111\u1ee7 h\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c \" class=\"wp-image-132186\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-8-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">B\u1ea1n c\u1ea7n x\u00e2y d\u1ef1ng \u0111\u1ea7y \u0111\u1ee7 h\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>Vi\u1ec7c x\u00e2y d\u1ef1ng h\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c c\u00f3 logic l\u00e0 r\u1ea5t quan tr\u1ecdng. To\u00e1n h\u1ecdc l\u00e0 m\u00f4n h\u1ecdc c\u00f3 t\u00ednh li\u00ean k\u1ebft cao gi\u1eefa c\u00e1c chuy\u00ean \u0111\u1ec1 \u2013 ki\u1ebfn th\u1ee9c ch\u01b0\u01a1ng tr\u01b0\u1edbc l\u00e0 n\u1ec1n m\u00f3ng cho ch\u01b0\u01a1ng sau. Do \u0111\u00f3, h\u00e3y s\u1eafp x\u1ebfp c\u00e1c ch\u1ee7 \u0111\u1ec1 theo m\u1ed9t tr\u00ecnh t\u1ef1 h\u1ee3p l\u00fd v\u00e0 x\u00e1c \u0111\u1ecbnh m\u1ed1i li\u00ean h\u1ec7 gi\u1eefa ch\u00fang.<\/p>\n\n\n\n<p>Song song v\u1edbi l\u00fd thuy\u1ebft, c\u1ea7n t\u00edch c\u1ef1c th\u1ef1c h\u00e0nh. Vi\u1ec7c hi\u1ec3u c\u00e1ch h\u00ecnh th\u00e0nh c\u00f4ng th\u1ee9c thay v\u00ec ch\u1ec9 h\u1ecdc thu\u1ed9c l\u00f2ng s\u1ebd gi\u00fap b\u1ea1n ghi nh\u1edb l\u00e2u h\u01a1n v\u00e0 d\u1ec5 d\u00e0ng v\u1eadn d\u1ee5ng v\u00e0o c\u00e1c d\u1ea1ng b\u00e0i l\u1ea1.<\/p>\n\n\n\n<p>Ngo\u00e0i ra, \u0111\u1eebng ng\u1ea1i sai. H\u00e3y ghi l\u1ea1i nh\u1eefng l\u1ed7i sai th\u01b0\u1eddng g\u1eb7p trong qu\u00e1 tr\u00ecnh l\u00e0m b\u00e0i v\u00e0 ch\u1ee7 \u0111\u1ed9ng t\u00ecm c\u00e1ch kh\u1eafc ph\u1ee5c. M\u1ed7i l\u1ea7n sai l\u00e0 m\u1ed9t l\u1ea7n h\u1ecdc v\u00e0 \u0111\u00f3 ch\u00ednh l\u00e0 c\u00e1ch b\u1ea1n ti\u1ebfn b\u1ed9 b\u1ec1n v\u1eefng.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"3_Ve_ky_thuat_lam_bai\"><\/span><a><\/a><strong>3. V\u1ec1 k\u1ef9 thu\u1eadt l\u00e0m b\u00e0i<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\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-de-thi-toan-thpt-quoc-gia-2024-9.jpg\" alt=\"Ph\u00e2n b\u1ed5 th\u1eddi gian gi\u1ea3i \u0111\u1ec1 sao cho h\u1ee3p l\u00fd nh\u1ea5t \" class=\"wp-image-132187\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-9-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">Ph\u00e2n b\u1ed5 th\u1eddi gian gi\u1ea3i \u0111\u1ec1 sao cho h\u1ee3p l\u00fd nh\u1ea5t (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>\u0110\u1ec3 t\u1eadn d\u1ee5ng t\u1ed1i \u0111a th\u1eddi gian trong ph\u00f2ng thi, b\u1ea1n n\u00ean ph\u00e2n b\u1ed5 th\u1eddi gian h\u1ee3p l\u00fd. M\u1ed9t g\u1ee3i \u00fd hi\u1ec7u qu\u1ea3 l\u00e0 d\u00e0nh kho\u1ea3ng <strong>60\u201365 ph\u00fat \u0111\u1ec3 gi\u1ea3i 40 c\u00e2u \u0111\u1ea7u<\/strong> (m\u1ee9c \u0111\u1ed9 d\u1ec5 \u2013 trung b\u00ecnh) v\u00e0 d\u00e0nh <strong>25\u201330 ph\u00fat <\/strong>c\u00f2n l\u1ea1i \u0111\u1ec3 x\u1eed l\u00fd 10 c\u00e2u v\u1eadn d\u1ee5ng.<\/p>\n\n\n\n<p>Vi\u1ec7c s\u1eed d\u1ee5ng m\u00e1y t\u00ednh c\u1ea7m tay m\u1ed9t c\u00e1ch linh ho\u1ea1t c\u0169ng r\u1ea5t quan tr\u1ecdng. B\u1ea1n c\u00f3 th\u1ec3 t\u1eadn d\u1ee5ng c\u00e1c ch\u1ee9c n\u0103ng t\u00ednh nhanh ho\u1eb7c ki\u1ec3m tra nghi\u1ec7m s\u01a1 b\u1ed9, tuy nhi\u00ean c\u1ea7n tr\u00e1nh qu\u00e1 ph\u1ee5 thu\u1ed9c, v\u00ec nhi\u1ec1u c\u00e2u h\u1ecfi v\u1eabn \u0111\u00f2i h\u1ecfi t\u01b0 duy v\u00e0 ph\u00e2n t\u00edch to\u00e1n h\u1ecdc.<\/p>\n\n\n\n<p>Cu\u1ed1i c\u00f9ng, h\u00e3y d\u00e0nh th\u1eddi gian \u0111\u1ec3 ki\u1ec3m tra l\u1ea1i c\u00e1c c\u00e2u quan tr\u1ecdng. C\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00e1ch th\u1ebf ng\u01b0\u1ee3c \u0111\u00e1p \u00e1n v\u00e0o \u0111\u1ec1, ho\u1eb7c th\u1eed gi\u1ea3i b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p kh\u00e1c \u0111\u1ec3 \u0111\u1ed1i chi\u1ebfu k\u1ebft qu\u1ea3, t\u0103ng m\u1ee9c \u0111\u1ed9 ch\u00ednh x\u00e1c.<\/p>\n\n\n\n<h3><span class=\"ez-toc-section\" id=\"4_Ve_chuan_bi_tam_ly\"><\/span><a><\/a><strong>4. V\u1ec1 chu\u1ea9n b\u1ecb t\u00e2m l\u00fd<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\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-de-thi-toan-thpt-quoc-gia-2024-10.jpg\" alt=\"C\u1ea7n chu\u1ea9n b\u1ecb t\u00e2m l\u00fd v\u1eefng v\u00e0ng tr\u01b0\u1edbc khi thi\" class=\"wp-image-132188\" srcset=\"https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10.jpg 1440w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-300x188.jpg 300w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-768x480.jpg 768w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-150x94.jpg 150w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-600x375.jpg 600w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-696x435.jpg 696w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-1392x870.jpg 1392w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-1068x668.jpg 1068w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-672x420.jpg 672w, https:\/\/phongvu.vn\/cong-nghe\/wp-content\/uploads\/2025\/06\/dap-an-de-thi-toan-thpt-quoc-gia-2024-10-1344x840.jpg 1344w\" sizes=\"(max-width: 1440px) 100vw, 1440px\" title=\"\"><figcaption class=\"wp-element-caption\">C\u1ea7n chu\u1ea9n b\u1ecb t\u00e2m l\u00fd v\u1eefng v\u00e0ng tr\u01b0\u1edbc khi thi (Ngu\u1ed3n: Internet)<\/figcaption><\/figure>\n\n\n\n<p>T\u00e2m l\u00fd tho\u1ea3i m\u00e1i v\u00e0 t\u1ef1 tin l\u00e0 y\u1ebfu t\u1ed1 quy\u1ebft \u0111\u1ecbnh \u0111\u1ebfn hi\u1ec7u su\u1ea5t l\u00e0m b\u00e0i. Tr\u00e1nh \u0111\u1ec3 c\u0103ng th\u1eb3ng l\u00e0m gi\u1ea3m kh\u1ea3 n\u0103ng t\u1eadp trung v\u00e0 suy lu\u1eadn. H\u00e3y tin t\u01b0\u1edfng v\u00e0o qu\u00e1 tr\u00ecnh \u00f4n luy\u1ec7n c\u1ee7a b\u1ea3n th\u00e2n, \u0111\u1ed3ng th\u1eddi duy tr\u00ec ch\u1ebf \u0111\u1ed9 sinh ho\u1ea1t khoa h\u1ecdc \u0111\u1ec3 gi\u1eef g\u00ecn s\u1ee9c kh\u1ecfe v\u00e0 s\u1ef1 t\u1ec9nh t\u00e1o.<\/p>\n\n\n\n<p>Ngo\u00e0i ra, lu\u00f4n chu\u1ea9n b\u1ecb cho nh\u1eefng t\u00ecnh hu\u1ed1ng b\u1ea5t ng\u1edd. N\u1ebfu g\u1eb7p c\u00e2u h\u1ecfi kh\u00f3 ho\u1eb7c ch\u01b0a t\u1eebng g\u1eb7p, \u0111\u1eebng v\u1ed9i hoang mang. H\u00e3y b\u00ecnh t\u0129nh lo\u1ea1i tr\u1eeb c\u00e1c ph\u01b0\u01a1ng \u00e1n sai v\u00e0 ch\u1ecdn \u0111\u00e1p \u00e1n c\u00f3 kh\u1ea3 n\u0103ng \u0111\u00fang cao nh\u1ea5t. T\u00e2m l\u00fd v\u1eefng v\u00e0ng s\u1ebd gi\u00fap b\u1ea1n x\u1eed l\u00fd t\u00ecnh hu\u1ed1ng t\u1ed1t h\u01a1n v\u00e0 duy tr\u00ec phong \u0111\u1ed9 \u0111\u1ebfn ph\u00fat cu\u1ed1i c\u00f9ng.<\/p>\n\n\n\n<p><strong>Xem th\u00eam: <\/strong><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><\/p>\n\n\n\n<h2><span class=\"ez-toc-section\" id=\"V_Tong_ket\"><\/span><a><\/a><strong>V. T\u1ed5ng k\u1ebft<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0110\u00e1p \u00e1n \u0111\u1ec1 thi to\u00e1n THPT qu\u1ed1c gia 2024 \u0111\u00e3 \u0111\u01b0\u1ee3c c\u00f4ng b\u1ed1 \u0111\u1ea7y \u0111\u1ee7 v\u00e0 ch\u00ednh x\u00e1c, gi\u00fap th\u00ed sinh v\u00e0 gi\u00e1o vi\u00ean c\u00f3 c\u00e1i nh\u00ecn t\u1ed5ng quan v\u1ec1 k\u1ef3 thi quan tr\u1ecdng n\u00e0y. V\u1edbi c\u1ea5u tr\u00fac quen thu\u1ed9c nh\u01b0ng v\u1eabn c\u00f3 t\u00ednh ph\u00e2n h\u00f3a t\u1ed1t, \u0111\u1ec1 thi n\u0103m 2024 m\u1ed9t l\u1ea7n n\u1eefa kh\u1eb3ng \u0111\u1ecbnh vai tr\u00f2 quan tr\u1ecdng c\u1ee7a vi\u1ec7c n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n v\u00e0 r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i b\u00e0i t\u1eadp \u0111a d\u1ea1ng. Kinh nghi\u1ec7m t\u1eeb k\u1ef3 thi n\u00e0y s\u1ebd l\u00e0 h\u00e0nh trang qu\u00fd b\u00e1u gi\u00fap c\u00e1c s\u0129 t\u1eed n\u0103m 2025 chu\u1ea9n b\u1ecb t\u1ed1t h\u01a1n cho h\u00e0nh tr\u00ecnh chinh ph\u1ee5c \u01b0\u1edbc m\u01a1 \u0111\u1ea1i h\u1ecdc c\u1ee7a m\u00ecnh.<\/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\/lich-thi-tot-nghiep-thpt-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">L\u1ecbch thi t\u1ed1t nghi\u1ec7p THPT 2025, l\u1ecbch thi \u0110\u1ea1i h\u1ecdc ch\u00ednh th\u1ee9c<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/de-thi-thu-tot-nghiep-thpt-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">Full b\u1ed9 \u0111\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT 2025 t\u1ea5t c\u1ea3 c\u00e1c m\u00f4n (C\u00f3 \u0111\u00e1p \u00e1n)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/phongvu.vn\/cong-nghe\/cau-truc-de-thi-thpt-quoc-gia-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">C\u1ea5u tr\u00fac \u0111\u1ec1 thi THPT Qu\u1ed1c gia 2025 c\u1eadp nh\u1eadt m\u1edbi nh\u1ea5t<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>K\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT Qu\u1ed1c gia n\u0103m 2024 \u0111\u00e3 kh\u00e9p l\u1ea1i, \u0111\u1ec3 l\u1ea1i nhi\u1ec1u \u1ea5n t\u01b0\u1ee3ng v\u1edbi \u0111\u1ec1 thi m\u00f4n To\u00e1n \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 l\u00e0 c\u00f3 c\u1ea5u tr\u00fac \u1ed5n \u0111\u1ecbnh v\u00e0 m\u1ee9c \u0111\u1ed9 ph\u00e2n h\u00f3a h\u1ee3p l\u00fd. Trong b\u00e0i vi\u1ebft n\u00e0y, Phong V\u0169 Tech News s\u1ebd cung c\u1ea5p cho b\u1ea1n c\u00e1i nh\u00ecn t\u1ed5ng quan [&hellip;]<\/p>\n","protected":false},"author":28,"featured_media":132179,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[74],"tags":[4375],"_links":{"self":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/132175"}],"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\/28"}],"replies":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/comments?post=132175"}],"version-history":[{"count":5,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/132175\/revisions"}],"predecessor-version":[{"id":132611,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/posts\/132175\/revisions\/132611"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/media\/132179"}],"wp:attachment":[{"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/media?parent=132175"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/categories?post=132175"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/phongvu.vn\/cong-nghe\/wp-json\/wp\/v2\/tags?post=132175"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}