{"id":540,"date":"2026-05-05T04:51:09","date_gmt":"2026-05-05T04:51:09","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-dien-chau-5-nghe-an\/"},"modified":"2026-05-05T07:24:39","modified_gmt":"2026-05-05T07:24:39","slug":"de-thi-thu-tot-nghiep-thpt-mon-toan-2024-2025-truong-thpt-dien-chau-5-nghe-an","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-dien-chau-5-nghe-an\/","title":{"rendered":"\u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT Di\u1ec5n Ch\u00e2u 5 Ngh\u1ec7 An"},"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 Di\u1ec5n Ch\u00e2u 5 Ngh\u1ec7 An<\/strong> l\u00e0 t\u00e0i li\u1ec7u \u0111\u1eafc l\u1ef1c h\u1ed7 tr\u1ee3 c\u00e1c b\u1ea1n h\u1ecdc sinh 12 trong qu\u00e1 tr\u00ecnh \u00f4n t\u1eadp, chu\u1ea9n b\u1ecb cho k\u00ec thi thpt. V\u1edbi ma tr\u1eadn c\u00e2u h\u1ecfi c\u00f3 nhi\u1ec1u c\u1ea5p b\u1eadc nh\u1eb1m \u0111\u00e1nh gi\u00e1 \u0111\u01b0\u1ee3c n\u0103ng l\u1ef1c c\u1ee7a m\u1ed7i b\u1ea1n, t\u1eeb \u0111\u00f3 \u0111\u01b0a ra h\u01b0\u1edbng \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3 h\u01a1n. H\u00e3y c\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\">T\u00e0i Li\u1ec7u \u00d4n Thi<\/a> t\u00ecm hi\u1ec3u qua n\u1ed9i dung c\u1ee7a \u0111\u1ec1 c\u00f3 g\u00ec n\u1ed5i b\u1eadt 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 Di\u1ec5n Ch\u00e2u 5 Ngh\u1ec7 An<\/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 Di\u1ec5n Ch\u00e2u 5 Ngh\u1ec7 An<\/strong> \u0111\u01b0\u1ee3c t\u1ed5ng h\u1ee3p v\u00f4 c\u00f9ng chi ti\u1ebft t\u1eeb c\u00e1c d\u1ea1ng to\u00e1n c\u01a1 b\u1ea3n \u0111\u1ebfn v\u1eadn d\u1ee5ng cao. M\u1ed7i ph\u1ea7n s\u1ebd c\u00f3 \u0111\u1ed9 kh\u00f3 ri\u00eang gi\u00fap h\u1ecdc sinh r\u00e8n luy\u1ec7n t\u01b0 duy khi gi\u1ea3i \u0111\u1ec1. V\u1edbi c\u1ea5u tr\u00fac \u0111\u1ec1 thi t\u1ed1t nghi\u1ec7p thpt m\u00f4n to\u00e1n nh\u01b0 sau:<\/p>\n<p><span><strong>Ph\u1ea7n 1 \u2013 Tr\u1eafc nghi\u1ec7m nhi\u1ec1u ph\u01b0\u01a1ng \u00e1n<br \/>\n<\/strong><\/span><\/p>\n<p>Th\u00ed sinh tr\u1ea3 l\u1eddi t\u1eeb c\u00e2u s\u1ed1 1 \u0111\u1ebfn c\u00e2u 12, n\u1ed9i dung c\u00e1c c\u00e2u h\u1ecfi nh\u01b0 sau:<\/p>\n<p><strong>C\u00e2u 1<\/strong>: Cho h\u00e0m s\u1ed1  f(x)  th\u1ecfa m\u00e3n int f(x) dx = e^2x + C.  Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang?<\/p>\n<p>A.  f(x) = 2e^2x \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 B.  f(x) = 1\/2e^2x \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0C.  f(x) = 2e^x \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0D.  f(x) = e^2x <\/p>\n<p><strong>C\u00e2u 2<\/strong>: Trong kh\u00f4ng gian  Oxyz , m\u1eb7t ph\u1eb3ng (P): 2x &#8211; y + 3z + 1 = 0  c\u00f3 m\u1ed9t vect\u01a1 ph\u00e1p tuy\u1ebfn l\u00e0<\/p>\n<p>A.  n\u20d7\u2081 = (2; -1; 3) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0B.  n\u20d7\u2084 = (2; 1; -3) <\/p>\n<p>C.  n\u20d7\u2083 = (2; -1; -3) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 D.  n\u20d7\u2082 = (2; 1; 3) <\/p>\n<p><strong>C\u00e2u 3<\/strong>: T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ( 1\/3 )^x+1 \u2264 1\/27  l\u00e0<\/p>\n<p>A.  (-\u221e; 2] \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 B.  (2; +\u221e) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 C.  [2; +\u221e) \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 D.  (-\u221e; 1) <\/p>\n<p><span><strong>Ph\u1ea7n 2 \u2013 Tr\u1eafc nghi\u1ec7m \u0111\u00fang sai<\/strong><\/span><\/p>\n<p>M\u1ed7i c\u00e2u h\u1ecfi s\u1ebd c\u00f3 4 \u00fd a), b), c), d), th\u00ed sinh ch\u1ec9 c\u1ea7n ghi ph\u01b0\u01a1ng \u00e1n \u0111\u00fang ho\u1eb7c sai cho m\u1ed7i c\u00e2u nh\u01b0 sau:<\/p>\n<p><strong>C\u00e2u 1<\/strong>: X\u00e9t h\u00e0m s\u1ed1  y = x\/2 &#8211; sin\u00b2 x  tr\u00ean kho\u1ea3ng  (0; \u03c0) X\u00e9t t\u00ednh \u0111\u00fang sai c\u1ee7a c\u00e1c m\u1ec7nh \u0111\u1ec1 sau:<\/p>\n<p>a) H\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng  ( 5\u03c0\/12; \u03c0 ) <\/p>\n<p>b) H\u00e0m s\u1ed1 c\u00f3 2 \u0111i\u1ec3m c\u1ef1c tr\u1ecb<\/p>\n<p>c) Gi\u00e1 tr\u1ecb c\u1ef1c ti\u1ec3u c\u1ee7a h\u00e0m s\u1ed1 l\u00e0  5\u03c0\/24 &#8211; (2 + \u221a3)\/(4) <\/p>\n<p>d) \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1  y = f'(x)  c\u1eaft \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1  y = (-sin 2x)\/(2)  t\u1ea1i 2 \u0111i\u1ec3m tr\u00ean kho\u1ea3ng  (0; \u03c0) <\/p>\n<p><strong>C\u00e2u 2<\/strong>: M\u1ed9t xe \u00f4 t\u00f4 \u0111ang ch\u1ea1y v\u1edbi v\u1eadn t\u1ed1c  65 km\/h  th\u00ec ng\u01b0\u1eddi l\u00e1i xe b\u1ea5t ng\u1edd ph\u00e1t hi\u1ec7n ch\u01b0\u1edbng ng\u1ea1i v\u1eadt tr\u00ean \u0111\u01b0\u1eddng c\u00e1ch \u0111\u00f3  50 m . Ng\u01b0\u1eddi l\u00e1i xe ph\u1ea3n \u1ee9ng m\u1ed9t gi\u00e2y, sau \u0111\u00f3 \u0111\u1ea1p phanh kh\u1ea9n c\u1ea5p. K\u1ec3 t\u1eeb th\u1eddi \u0111i\u1ec3m n\u00e0y, \u00f4 t\u00f4 chuy\u1ec3n \u0111\u1ed9ng ch\u1eadm d\u1ea7n \u0111\u1ec1u v\u1edbi t\u1ed1c \u0111\u1ed9  v(t) = -10t + 20 (m\/s), trong \u0111\u00f3  t  l\u00e0 th\u1eddi gian t\u00ednh b\u1eb1ng gi\u00e2y k\u1ec3 t\u1eeb l\u00fac \u0111\u1ea1p phanh. G\u1ecdi  s(t)  l\u00e0 qu\u00e3ng \u0111\u01b0\u1eddng xe \u00f4 t\u00f4 \u0111i \u0111\u01b0\u1ee3c trong  t  gi\u00e2y k\u1ec3 t\u1eeb l\u00fac \u0111\u1ea1p phanh. C\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00fang hay sai?<\/p>\n<p>a) Qu\u00e3ng \u0111\u01b0\u1eddng  s(t)  m\u00e0 xe \u00f4 t\u00f4 \u0111i \u0111\u01b0\u1ee3c trong th\u1eddi gian  t  gi\u00e2y l\u00e0 m\u1ed9t nguy\u00ean h\u00e0m c\u1ee7a h\u00e0m s\u1ed1  v(t) <\/p>\n<p>b)  s(t) = -5t\u00b2 + 20t <\/p>\n<p>c) Th\u1eddi gian k\u1ec3 t\u1eeb l\u00fac \u0111\u1ea1p phanh \u0111\u1ebfn khi xe \u00f4 t\u00f4 d\u1eebng h\u1eb3n l\u00e0 2.0 gi\u00e2y<\/p>\n<p>d) K\u1ec3 t\u1eeb l\u00fac \u0111\u1ea1p phanh \u0111\u1ebfn khi xe \u00f4 t\u00f4 d\u1eebng h\u1eb3n th\u00ec xe \u00f4 t\u00f4 \u0111\u00e3 kh\u00f4ng va v\u00e0o ch\u01b0\u1edbng ng\u1ea1i v\u1eadt \u1edf tr\u00ean \u0111\u01b0\u1eddng<\/p>\n<p><span><strong>Ph\u1ea7n 3 \u2013 Tr\u1eafc nghi\u1ec7m tr\u1ea3 l\u1eddi ng\u1eafn<\/strong><\/span><\/p>\n<p><strong>C\u00e2u 1<\/strong>: Cho h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u  S.ABCD , c\u00f3 \u0111\u00e1y  ABCD  l\u00e0 h\u00ecnh vu\u00f4ng t\u00e2m  O . C\u00e1c c\u1ea1nh b\u00ean v\u00e0 c\u00e1c c\u1ea1nh \u0111\u00e1y \u0111\u1ec1u b\u1eb1ng  a . G\u1ecdi  M  l\u00e0 trung \u0111i\u1ec3m  SC . T\u00ednh s\u1ed1 \u0111o g\u00f3c nh\u1ecb di\u1ec7n  [A;BD;M]  (t\u00ednh theo \u0111\u01a1n v\u1ecb \u0111\u1ed9, l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb).<\/p>\n<p><strong>C\u00e2u 2<\/strong>: Cho m\u1ed9t t\u1ea5m b\u00eca h\u00ecnh vu\u00f4ng c\u00f3 c\u1ea1nh  2m . T\u1eeb t\u1ea5m b\u00eca n\u00e0y l\u00e0m m\u1ed9t m\u00f4 h\u00ecnh kim t\u1ef1 th\u00e1p Ai C\u1eadp, ng\u01b0\u1eddi ta c\u1eaft b\u1ecf b\u1ed1n tam gi\u00e1c c\u00e2n b\u1eb1ng nhau c\u00f3 c\u1ea1nh \u0111\u00e1y l\u00e0 c\u00e1c c\u1ea1nh c\u1ee7a h\u00ecnh vu\u00f4ng r\u1ed3i g\u1ea5p l\u00ean v\u00e0 gh\u00e9p l\u1ea1i th\u00e0nh m\u1ed9t h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u. Th\u1ec3 t\u00edch c\u1ee7a m\u00f4 h\u00ecnh l\u1edbn nh\u1ea5t khi c\u1ea1nh \u0111\u00e1y c\u1ee7a m\u00f4 h\u00ecnh b\u1eb1ng (a\u221a2)\/(b) (m)(a,b in mathbbZ, a,b nguy\u00ean t\u1ed1 c\u00f9ng nhau). T\u00ednh t\u1ed5ng  a\u00b2 + b\u00b2 ?<\/p>\n<p>\u0110\u1eb7c bi\u1ec7t, b\u1ed9 \u0111\u1ec1 \u0111\u00e3 k\u00e8m theo \u0111\u00e1p \u00e1n \u1edf m\u1ed7i ph\u1ea7n, c\u00f9ng ph\u01b0\u01a1ng ph\u00e1p v\u00e0 c\u00e1ch gi\u1ea3i r\u00f5 r\u00e0ng, chi ti\u1ebft \u1edf m\u1ed7i c\u00e2u. Ch\u00fac b\u1ea1n c\u00f3 m\u1ed9t l\u1ed9 tr\u00ecnh \u00f4n luy\u1ec7n c\u00e1c <a href=\"https:\/\/tailieuonthi.edu.vn\/de-thi-thu-thpt\/de-thi-thu-thpt-mon-toan\/\" rel=\"noopener\" target=\"_blank\">\u0111\u1ec1 thi t\u1ed1t nghi\u1ec7p thpt m\u00f4n to\u00e1n<\/a> hi\u1ec7u qu\u1ea3 nh\u1ea5t.<\/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 Di\u1ec5n Ch\u00e2u 5 Ngh\u1ec7 An<\/strong><\/h2>\n<p>C\u00e1c b\u1ea1n h\u1ecdc sinh t\u1ea3i <strong>\u0110\u1ec1 thi th\u1eed t\u1ed1t nghi\u1ec7p THPT m\u00f4n To\u00e1n 2024 \u2013 2025 tr\u01b0\u1eddng THPT Di\u1ec5n Ch\u00e2u 5 Ngh\u1ec7 An<\/strong> qua \u0111\u01b0\u1eddng link d\u01b0\u1edbi \u0111\u00e2y v\u00e0 \u00f4n t\u1eadp t\u1eeb h\u00f4m nay nh\u00e9!<\/p>\n<p><iframe height=\"480\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/102Y5vDHpDZMwqXqDUlb75IEfeCv40nKm\/preview\" width=\"640\"><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/102Y5vDHpDZMwqXqDUlb75IEfeCv40nKm\/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\/102Y5vDHpDZMwqXqDUlb75IEfeCv40nKm\/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 Di\u1ec5n Ch\u00e2u 5 Ngh\u1ec7 An<\/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 Di\u1ec5n Ch\u00e2u 5 Ngh\u1ec7 An l\u00e0 t\u00e0i li\u1ec7u \u0111\u1eafc l\u1ef1c h\u1ed7 tr\u1ee3 c\u00e1c b\u1ea1n h\u1ecdc sinh 12 trong qu\u00e1 tr\u00ecnh \u00f4n t\u1eadp, chu\u1ea9n b\u1ecb cho k\u00ec thi thpt. V\u1edbi ma tr\u1eadn c\u00e2u h\u1ecfi c\u00f3 nhi\u1ec1u c\u1ea5p b\u1eadc nh\u1eb1m \u0111\u00e1nh gi\u00e1 \u0111\u01b0\u1ee3c n\u0103ng [&#8230;]\n","protected":false},"author":1,"featured_media":1739,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[8],"class_list":["post-540","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\/540","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=540"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/540\/revisions"}],"predecessor-version":[{"id":1740,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/540\/revisions\/1740"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1739"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=540"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=540"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}