{"id":554,"date":"2026-05-05T04:51:53","date_gmt":"2026-05-05T04:51:53","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa\/"},"modified":"2026-05-05T07:25:34","modified_gmt":"2026-05-05T07:25:34","slug":"de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa\/","title":{"rendered":"\u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT H\u1eadu L\u1ed9c 1 Thanh H\u00f3a"},"content":{"rendered":"<p><strong>\u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT H\u1eadu L\u1ed9c 1 Thanh H\u00f3a<\/strong> l\u00e0 ngu\u1ed3n \u00f4n luy\u1ec7n v\u00f4 c\u00f9ng h\u1eefu \u00edch d\u00e0nh cho c\u00e1c b\u1ea1n h\u1ecdc sinh 12 chu\u1ea9n b\u1ecb k\u00ec thi t\u1ed1t nghi\u1ec7p thpt to\u00e1n. B\u1ed9 \u0111\u1ec1 \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n b\u00e1m s\u00e1t c\u1ea5u tr\u00fac v\u00e0 n\u1ed9i dung \u0111\u1ec1 thi minh h\u1ecda m\u1edbi nh\u1ea5t c\u1ee7a b\u1ed9 GD&amp;DT. H\u00e3y c\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\">T\u00e0i li\u1ec7u \u00d4n Thi<\/a> kh\u00e1m ph\u00e1 n\u1ed9i dung c\u1ee7a \u0111\u1ec1 c\u00f3 g\u00ec \u0111\u1eb7c bi\u1ec7t nh\u00e9.<\/p>\n<h2><strong>N\u1ed9i dung \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT H\u1eadu L\u1ed9c 1 Thanh H\u00f3a<\/strong><\/h2>\n<p>N\u1ed9i dung <strong>\u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT H\u1eadu L\u1ed9c 1 Thanh H\u00f3a<\/strong> g\u1ed3m 22 c\u00e2u h\u1ecfi chia th\u00e0nh 3 d\u1ea1ng tr\u1eafc nghi\u1ec7m nhi\u1ec1u ph\u01b0\u01a1ng \u00e1n, \u0111\u00fang sai v\u00e0 tr\u1ea3 l\u1eddi ng\u1eafn. Ngo\u00e0i ra, \u0111\u1ec1 thi c\u00f3 k\u00e8m \u0111\u00e1p \u00e1n v\u00e0 c\u00e1ch gi\u1ea3i th\u00edch chi ti\u1ebft gi\u00fap h\u1ecdc sinh d\u1ec5 d\u00e0ng t\u1ef1 \u00f4n t\u1eadp v\u00e0 n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c. C\u00f9ng xem qua n\u1ed9i dung ch\u00ednh nh\u01b0 sau:<\/p>\n<p><strong>PH\u1ea6N 1 \u2013 TR\u1eaeC NGHI\u1ec6M NHI\u1ec0U PH\u01af\u01a0NG \u00c1N L\u1ef0A CH\u1eccN<\/strong><\/p>\n<p>C\u00f3 t\u1ea5t c\u1ea3 12 c\u00e2u h\u1ecfi, m\u1ed7i c\u00e2u c\u00f3 4 \u0111\u00e1p \u00e1n A, B, C, D. Th\u00ed sinh ch\u1ec9 c\u1ea7n ch\u1ecdn m\u1ed9t \u0111\u00e1p \u00e1n ch\u00ednh x\u00e1c nh\u1ea5t. Tham kh\u1ea3o c\u00e1c c\u00e2u h\u1ecfi trong <a href=\"https:\/\/tailieuonthi.edu.vn\/de-thi-thu-thpt\/de-thi-thu-thpt-mon-toan\/\" rel=\"noopener\" target=\"_blank\">\u0111\u1ec1 thi thpt to\u00e1n<\/a> sau \u0111\u00e2y.<\/p>\n<p><strong>C\u00e2u 1<\/strong>: Cho h\u00e0m s\u1ed1  y = f(x)  c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 H\u00ecnh 1.<\/p>\n<p><img loading=\"lazy\" alt=\"\" class=\"alignnone size-medium wp-image-2840 aligncenter\" decoding=\"async\" height=\"194\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-1-300x194.png\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-1-300x194.png 300w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-1.png 390w\" width=\"300\"\/><br \/>\nH\u00e0m s\u1ed1 \u0111\u00e3 cho \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng n\u00e0o trong c\u00e1c kho\u1ea3ng sau \u0111\u00e2y?<\/p>\n<p>A.  (0; 1) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 B.  (1; 2) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0C.  (-1; 0) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0D.  (-1; 1) <\/p>\n<p><strong>C\u00e2u 2<\/strong>: Cho h\u00e0m s\u1ed1  y = f(x)  c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh 2. \u0110\u01b0\u1eddng th\u1eb3ng n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn ngang c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 \u0111\u00e3 cho?<\/p>\n<p><img loading=\"lazy\" alt=\"\" class=\"size-medium wp-image-2841 aligncenter\" decoding=\"async\" height=\"184\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-2-300x184.png\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-2-300x184.png 300w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-2.png 451w\" width=\"300\"\/><\/p>\n<p>A.  x = 1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0B.  x = -1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 C.  y = 1 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0D.  y = -1 <\/p>\n<p><strong>PH\u1ea6N 2 \u2013 TR\u1eaeC NGHI\u1ec6M CH\u1eccN \u0110\u00daNG SAI<\/strong><\/p>\n<p>Th\u00ed sinh ch\u1ec9 c\u1ea7n ch\u1ecdn m\u1ec7nh \u0111\u1ec1 \u0111\u00fang\/sai cho m\u1ed7i c\u00e2u tr\u1ea3 l\u1eddi \u0111\u00e3 cho tr\u01b0\u1edbc. V\u00ed d\u1ee5:<\/p>\n<p><strong>C\u00e2u 1<\/strong>: Trong kh\u00f4ng gian  Oxyz , cho tam gi\u00e1c  ABC  c\u00f3  A(4; 1; 0), B(1; 0; 1), C(1; -2; 3) .<\/p>\n<p>a) T\u1ee9 gi\u00e1c  ABCD  l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh v\u1edbi  D(3; -1; 2) .<\/p>\n<p>b) \u0110\u1ed9 d\u00e0i \u0111o\u1ea1n th\u1eb3ng  AB  b\u1eb1ng  \u221a6 .<\/p>\n<p>c) Bi\u1ebft \u0111i\u1ec3m  E  thu\u1ed9c tr\u1ee5c  Oy  v\u00e0 tam gi\u00e1c  BCE  vu\u00f4ng t\u1ea1i  E , \u0111i\u1ec3m  E  c\u00f3 t\u1ecda \u0111\u1ed9  (0; -6; 0) .<\/p>\n<p>d) \u0110i\u1ec3m  M  l\u00e0 \u0111i\u1ec3m n\u1eb1m tr\u00ean \u0111o\u1ea1n th\u1eb3ng  AB  sao cho  MA = 2MB , th\u00ec \u0111\u1ed9 d\u00e0i  OM  b\u1eb1ng  (\u221a6)\/(3) .<\/p>\n<p><strong>C\u00e2u 2<\/strong>: Cho h\u00e0m s\u1ed1  y = (3x + 2)\/(x + 2)  c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0  (C) .<\/p>\n<p>a) \u0110\u01b0\u1eddng th\u1eb3ng  y = 3  l\u00e0 ti\u1ec7m c\u1eadn \u0111\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb  (C) .<\/p>\n<p>b) \u0110i\u1ec3m  I(-2; 3)  l\u00e0 giao \u0111i\u1ec3m c\u1ee7a c\u00e1c \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn c\u1ee7a \u0111\u1ed3 th\u1ecb  (C) .<\/p>\n<p>c) \u0110\u1ed3 th\u1ecb  (C)  c\u1eaft \u0111\u01b0\u1eddng th\u1eb3ng  y = x + 2  t\u1ea1i hai \u0111i\u1ec3m ph\u00e2n bi\u1ec7t.<\/p>\n<p>d) \u0110\u01b0\u1eddng th\u1eb3ng  y = x  c\u1eaft  (C)  t\u1ea1i hai \u0111i\u1ec3m  A, B . Bi\u1ebft \u0111\u01b0\u1eddng th\u1eb3ng  y = x + m  c\u1eaft  (C), D  th\u00ec  ABCD  l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh khi  m &gt; 5 .<\/p>\n<p><strong>PH\u1ea6N 3 \u2013 TR\u1eaeC NGHI\u1ec6M TR\u1ea2 L\u1edcI NG\u1eaeN<\/strong><\/p>\n<p><strong>C\u00e2u 1<\/strong>: V\u1edbi  a, b  l\u00e0 c\u00e1c s\u1ed1 th\u1ef1c d\u01b0\u01a1ng t\u00f9y \u00fd th\u1ecfa m\u00e3n  a ne 1  v\u00e0  log_b b = 2 , t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a log_a\u00b2(ab\u00b2).\n<\/p>\n<p><strong>C\u00e2u 2<\/strong>: Ng\u01b0\u1eddi ta thi\u1ebft k\u1ebf m\u1ed9t thi\u1ebft b\u1ecb kim lo\u1ea1i c\u00f3 d\u1ea1ng nh\u01b0 H\u00ecnh 3 (gi\u00e1 ti\u1ec1n mua kim lo\u1ea1i l\u00e0  2500 \u0111\u1ed3ng\/cm\u00b3 ).<\/p>\n<p><img alt=\"\" class=\"alignnone size-medium wp-image-2842 aligncenter\" decoding=\"async\" height=\"211\" loading=\"lazy\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-3-300x211.png\" srcset=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-3-300x211.png 300w, https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/04\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-hau-loc-1-thanh-hoa-3.png 414w\" width=\"300\"\/><\/p>\n<p>Thi\u1ebft b\u1ecb g\u1ed3m 2 ph\u1ea7n, ph\u1ea7n d\u01b0\u1edbi l\u00e0 kh\u1ed1i l\u0103ng tr\u1ee5 t\u1ee9 gi\u00e1c \u0111\u1ec1u, ph\u1ea7n tr\u00ean l\u00e0 kh\u1ed1i ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u. S\u1ed1 ti\u1ec1n mua kim lo\u1ea1i d\u00f9ng \u0111\u1ec3 l\u00e0m thi\u1ebft b\u1ecb \u0111\u00f3 l\u00e0 bao nhi\u00eau ngh\u00ecn \u0111\u1ed3ng (l\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb)?<\/p>\n<h2><strong>T\u1ea3i \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT H\u1eadu L\u1ed9c 1 Thanh H\u00f3a<\/strong><\/h2>\n<p><strong>\u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT H\u1eadu L\u1ed9c 1 Thanh H\u00f3a<\/strong> kh\u00f4ng ch\u1ec9 gi\u00fap c\u00e1c b\u1ea1n l\u00e0m quen v\u1edbi d\u1ea1ng b\u00e0i thi, m\u00e0 c\u00f2n n\u00e2ng cao t\u1ed1c \u0111\u1ed9 v\u00e0 \u0111\u1ed9 ch\u00ednh x\u00e1c trong qu\u00e1 tr\u00ecnh l\u00e0m b\u00e0i. T\u1ea3i ngay \u0111\u1ec1 thi thpt to\u00e1n v\u00e0 \u0111\u00e1p \u00e1n qua \u0111\u01b0\u1eddng link sau \u0111\u00e2y. H\u00e3y b\u1eaft \u0111\u1ea7u \u00f4n t\u1eadp ngay h\u00f4m nay \u0111\u1ec3 c\u00f3 \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t nh\u00e9.<\/p>\n<p><iframe height=\"480\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/17PwP_RgGmXBLkLbxvsSGc70__ZzFvfBj\/preview\" width=\"640\"><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/17PwP_RgGmXBLkLbxvsSGc70__ZzFvfBj\/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><strong><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/file\/d\/17PwP_RgGmXBLkLbxvsSGc70__ZzFvfBj\/view\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i \u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT H\u1eadu L\u1ed9c 1 Thanh H\u00f3a <\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT H\u1eadu L\u1ed9c 1 Thanh H\u00f3a l\u00e0 ngu\u1ed3n \u00f4n luy\u1ec7n v\u00f4 c\u00f9ng h\u1eefu \u00edch d\u00e0nh cho c\u00e1c b\u1ea1n h\u1ecdc sinh 12 chu\u1ea9n b\u1ecb k\u00ec thi t\u1ed1t nghi\u1ec7p thpt to\u00e1n. B\u1ed9 \u0111\u1ec1 \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n b\u00e1m s\u00e1t c\u1ea5u tr\u00fac v\u00e0 n\u1ed9i dung \u0111\u1ec1 thi [&#8230;]\n","protected":false},"author":1,"featured_media":1753,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[8],"class_list":["post-554","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-de-thi-thu-thpt-mon-toan","tag-de-thi-thu-thpt-mon-toan"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/554","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=554"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/554\/revisions"}],"predecessor-version":[{"id":1754,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/554\/revisions\/1754"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1753"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=554"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}