{"id":430,"date":"2026-05-05T04:45:20","date_gmt":"2026-05-05T04:45:20","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-giua-hoc-ki-2-toan-12-nam-2024-2025-truong-trung-hoc-thuc-hanh-dhsp-tphcm\/"},"modified":"2026-05-05T07:18:08","modified_gmt":"2026-05-05T07:18:08","slug":"de-giua-hoc-ki-2-toan-12-nam-2024-2025-truong-trung-hoc-thuc-hanh-dhsp-tphcm","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-giua-hoc-ki-2-toan-12-nam-2024-2025-truong-trung-hoc-thuc-hanh-dhsp-tphcm\/","title":{"rendered":"\u0110\u1ec1 gi\u1eefa h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 Tr\u01b0\u1eddng Trung H\u1ecdc Th\u1ef1c H\u00e0nh \u0110HSP TPHCM"},"content":{"rendered":"<p>Luy\u1ec7n <strong>\u0110\u1ec1 gi\u1eefa h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 Tr\u01b0\u1eddng Trung H\u1ecdc Th\u1ef1c H\u00e0nh \u0110HSP TPHCM\u00a0<\/strong>l\u00e0 c\u01a1 h\u1ed9i \u0111\u1ec3 c\u00e1c b\u1ea1n h\u1ecdc sinh h\u1ec7 th\u1ed1ng l\u1ea1i ki\u1ebfn th\u1ee9c v\u00e0 chu\u1ea9n b\u1ecb th\u1eadt t\u1ed1t cho k\u1ef3 thi ch\u00ednh th\u1ee9c. \u0110\u1ec1 thi \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf v\u1edbi c\u00e1c b\u00e0i t\u1eadp t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao, gi\u00fap b\u1ea1n r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng v\u00e0 ki\u1ec3m tra n\u0103ng l\u1ef1c ch\u00ednh x\u00e1c nh\u1ea5t. C\u00f9ng <strong><a href=\"https:\/\/tailieuonthi.edu.vn\/\" target=\"_blank\" rel=\"noopener\">T\u00e0i li\u1ec7u \u00d4n Thi<\/a> <\/strong>xem qua \u0111\u1ec1 thi n\u00e0y c\u00f3 g\u00ec \u0111\u1eb7c bi\u1ec7t nh\u00e9!<\/p>\n<h2><strong>N\u1ed9i dung <span data-sheets-root=\"1\">\u0110\u1ec1 gi\u1eefa h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 Tr\u01b0\u1eddng Trung H\u1ecdc Th\u1ef1c H\u00e0nh \u0110HSP TPHCM<\/span><\/strong><\/h2>\n<p><strong>\u0110\u1ec1 gi\u1eefa h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 Tr\u01b0\u1eddng Trung H\u1ecdc Th\u1ef1c H\u00e0nh \u0110HSP TPHCM<\/strong>\u00a0t\u1ed5ng h\u1ee3p c\u00e1c c\u00e2u h\u1ecfi ki\u1ec3m tra v\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian, s\u1ed1 ph\u1ee9c, nguy\u00ean h\u00e0m, t\u00edch ph\u00e2n v\u00e0 \u1ee9ng d\u1ee5ng. V\u1edbi th\u1eddi gian l\u00e0m b\u00e0i 60 ph\u00fat, b\u1ea1n s\u1ebd chinh ph\u1ee5c 26 c\u00e2u h\u1ecfi v\u00e0 bi\u1ebft \u0111\u01b0\u1ee3c kh\u1ea3 n\u0103ng gi\u1ea3i \u0111\u1ec1 v\u00e0 r\u00e8n luy\u1ec7n \u0111\u1ec3 chinh ph\u1ee5c k\u1ef3 thi n\u00e0y.<\/p>\n<p><span><strong>Ph\u1ea7n 1 \u2013 C\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m<\/strong><\/span><\/p>\n<p>M\u1ed7i \u0111\u1ec1 s\u1ebd c\u00f3 20 c\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m v\u1edbi 4 \u0111\u00e1p \u00e1n, th\u00ed sinh c\u1ea7n \u0111\u1ecdc k\u1ef9 v\u00e0 ch\u1ecdn ra \u0111\u00e1p \u00e1n ch\u00ednh x\u00e1c nh\u1ea5t. M\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi sau \u0111\u00e2y:<\/p>\n<p><strong>C\u00e2u 1.<\/strong> Trong kh\u00f4ng gian v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9  Oxyz , cho m\u1eb7t ph\u1eb3ng  (P): 3x &#8211; z + 2 = 0 .Vector n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t vector ph\u00e1p tuy\u1ebfn c\u1ee7a  (P) ?<br \/>\nA. mathbfn = (-1;0;-1) .<br \/>\nB. mathbfn = (3;-1;2) .<br \/>\nC. mathbfn = (3;0;-1) .<br \/>\nD. mathbfn = (3;-1;0) .<\/p>\n<p><strong>C\u00e2u 2.<\/strong> Trong kh\u00f4ng gian v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9  Oxyz , ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng \u0111i qua \u0111i\u1ec3m  M(2;-3;3)  v\u00e0 c\u00f3 m\u1ed9t vector ph\u00e1p tuy\u1ebfn l\u00e0  mathbfn = (1;-2;3) ?<br \/>\nA. x &#8211; 2y + 3z + 12 = 0 .<br \/>\nB. x &#8211; 2y &#8211; 3z + 6 = 0 .<br \/>\nC. x &#8211; 2y &#8211; 3z &#8211; 6 = 0 .<br \/>\nD. x &#8211; 2y + 3z &#8211; 12 = 0 .<\/p>\n<p><span><strong>Ph\u1ea7n 2 \u2013 C\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m \u0111\u00fang sai<\/strong><\/span><\/p>\n<p>Xem qua c\u00e1c d\u1ea1ng c\u00e2u h\u1ecfi trong \u0111\u1ec1 nh\u01b0 sau:<\/p>\n<p><strong>C\u00e2u 2.<\/strong> M\u1ed9t v\u1eadt chuy\u1ec3n \u0111\u1ed9ng trong 4 gi\u00e2y v\u1edbi v\u1eadn t\u1ed1c  v = v(t)  ph\u1ee5 thu\u1ed9c v\u00e0o th\u1eddi gian  t  (s) c\u00f3 \u0111\u1ed3 th\u1ecb v\u1eadn t\u1ed1c nh\u01b0 h\u00ecnh v\u1ebd.<br \/>\nTrong kho\u1ea3ng th\u1eddi gian 3 gi\u00e2y k\u1ec3 t\u1eeb khi b\u1eaft \u0111\u1ea7u chuy\u1ec3n \u0111\u1ed9ng, \u0111\u1ed3 th\u1ecb \u0111\u00f3 l\u00e0 m\u1ed9t ph\u1ea7n c\u1ee7a parabol \u0111i qua  (0;0) , c\u00f3 \u0111\u1ec9nh  (1;9)  v\u1edbi tr\u1ee5c \u0111\u1ed1i x\u1ee9ng song song v\u1edbi tr\u1ee5c tung. Kho\u1ea3ng th\u1eddi gian c\u00f2n l\u1ea1i \u0111\u1ed3 th\u1ecb l\u00e0 m\u1ed9t \u0111o\u1ea1n th\u1eb3ng song song v\u1edbi tr\u1ee5c ho\u00e0nh.<\/p>\n<p>a) Gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1  v(t)  khi  t = 3  l\u00e0  27\/4 .<br \/>\nb) Gia t\u1ed1c c\u1ee7a v\u1eadt t\u1ea1i th\u1eddi \u0111i\u1ec3m  t = 2  l\u00e0  9  (m\/s \u00b2 ).<br \/>\nc) Qu\u00e3ng \u0111\u01b0\u1eddng v\u1eadt \u0111i chuy\u1ec3n \u0111\u01b0\u1ee3c t\u1eeb th\u1eddi \u0111i\u1ec3m  t = 3  \u0111\u1ebfn th\u1eddi \u0111i\u1ec3m  t = 4  l\u00e0  27\/4  (m).<br \/>\nd) Qu\u00e3ng \u0111\u01b0\u1eddng m\u00e0 v\u1eadt \u0111i chuy\u1ec3n \u0111\u01b0\u1ee3c trong 4 gi\u00e2y n\u00e0y l\u00e0 22 (m).<\/p>\n<p><span><strong>Ph\u1ea7n 3 \u2013 C\u00e2u h\u1ecfi tr\u1ea3 l\u1eddi ng\u1eafn<\/strong><\/span><\/p>\n<p><strong>N\u1ed9i dung c\u00e1c c\u00e2u h\u1ecfi \u1edf ph\u1ea7n n\u00e0y s\u1ebd r\u01a1i v\u00e0o c\u00e1c d\u1ea1ng ki\u1ebfn th\u1ee9c nh\u01b0:<\/strong><\/p>\n<p>\u2013 \u0110\u1ea1o h\u00e0m \u1ee9ng d\u1ee5ng<\/p>\n<p>\u2013 H\u00ecnh h\u1ecdc kh\u00f4ng gian Oxyz<\/p>\n<p>\u2013 C\u00e2u h\u1ecfi n\u00e2ng cao<\/p>\n<p>Trong kh\u00f4ng gian v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9  Oxyz , cho \u0111i\u1ec3m  A(-2;-1;-2)  v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng  d : (x &#8211; 2)\/(2) = (y &#8211; 3)\/(3) = (z &#8211; 1)\/(2) . G\u1ecdi  \u0394  l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua  A , vu\u00f4ng g\u00f3c v\u00e0 c\u1eaft  d . Bi\u1ebft r\u1eb1ng  M(a; b; -4)  l\u00e0 m\u1ed9t \u0111i\u1ec3m thu\u1ed9c  \u0394 , h\u00e3y t\u00ednh t\u1ed5ng  P = a + b .<\/p>\n<h2><strong>T\u1ea3i <span data-sheets-root=\"1\">\u0110\u1ec1 gi\u1eefa h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 Tr\u01b0\u1eddng Trung H\u1ecdc Th\u1ef1c H\u00e0nh \u0110HSP TPHCM<\/span><\/strong><\/h2>\n<p>M\u1eddi qu\u00fd th\u1ea7y c\u00f4 v\u00e0 c\u00e1c b\u1ea1n h\u1ecdc sinh xem \u0111\u1ea7y \u0111\u1ee7 b\u1ed9 t\u00e0i li\u1ec7u v\u00e0 t\u1ea3i <strong>\u0110\u1ec1 gi\u1eefa h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 Tr\u01b0\u1eddng Trung H\u1ecdc Th\u1ef1c H\u00e0nh \u0110HSP TPHCM<\/strong>\u00a0qua \u0111\u01b0\u1eddng link sau \u0111\u00e2y v\u00e0 b\u1eaft tay v\u00e0o luy\u1ec7n t\u1eadp ngay nh\u00e9!<\/p>\n<p><iframe height=\"480\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/13aH8tbJBshpr7RPcx-BXOrhyZhOUSkV2\/preview\" width=\"640\"><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/13aH8tbJBshpr7RPcx-BXOrhyZhOUSkV2\/view\" rel=\"nofollow noopener\" target=\"_blank\">M\u1edf t\u00e0i li\u1ec7u n\u1ebfu khung xem tr\u01b0\u1edbc kh\u00f4ng hi\u1ec3n th\u1ecb<\/a><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/file\/d\/13aH8tbJBshpr7RPcx-BXOrhyZhOUSkV2\/view\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i \u0110\u1ec1 gi\u1eefa h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 Tr\u01b0\u1eddng Trung H\u1ecdc Th\u1ef1c H\u00e0nh \u0110HSP TPHCM<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Luy\u1ec7n \u0110\u1ec1 gi\u1eefa h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 Tr\u01b0\u1eddng Trung H\u1ecdc Th\u1ef1c H\u00e0nh \u0110HSP TPHCM\u00a0l\u00e0 c\u01a1 h\u1ed9i \u0111\u1ec3 c\u00e1c b\u1ea1n h\u1ecdc sinh h\u1ec7 th\u1ed1ng l\u1ea1i ki\u1ebfn th\u1ee9c v\u00e0 chu\u1ea9n b\u1ecb th\u1eadt t\u1ed1t cho k\u1ef3 thi ch\u00ednh th\u1ee9c. \u0110\u1ec1 thi \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf v\u1edbi c\u00e1c b\u00e0i t\u1eadp t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng [&#8230;]\n","protected":false},"author":1,"featured_media":1629,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[10],"class_list":["post-430","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-toan-12","tag-toan-12"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/430","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=430"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/430\/revisions"}],"predecessor-version":[{"id":1630,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/430\/revisions\/1630"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1629"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=430"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=430"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}