{"id":304,"date":"2026-05-05T04:38:33","date_gmt":"2026-05-05T04:38:33","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-kiem-tra-giua-ky-2-toan-10-chan-troi-sang-tao-nam-hoc-2024-2025\/"},"modified":"2026-05-05T07:11:15","modified_gmt":"2026-05-05T07:11:15","slug":"bo-de-kiem-tra-giua-ky-2-toan-10-chan-troi-sang-tao-nam-hoc-2024-2025","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-kiem-tra-giua-ky-2-toan-10-chan-troi-sang-tao-nam-hoc-2024-2025\/","title":{"rendered":"B\u1ed9 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o n\u0103m h\u1ecdc 2024 \u2013 2025"},"content":{"rendered":"<p>\u00d4n t\u1eadp gi\u1eefa k\u1ef3 2 m\u00f4n To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o d\u1ec5 d\u00e0ng h\u01a1n v\u1edbi <strong>B\u1ed9 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o n\u0103m h\u1ecdc 2024 \u2013 2025<\/strong> c\u1ee7a \u0111\u1ed9i ng\u0169 To\u00e1n T\u1eeb T\u00e2m bi\u00ean so\u1ea1n. V\u1edbi n\u1ed9i dung b\u00e1m s\u00e1t m\u00f4n To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o, t\u00e0i li\u1ec7u gi\u00fap r\u00e8n luy\u1ec7n t\u01b0 duy, chu\u1ea9n b\u1ecb thi t\u1ed1t. H\u00e3y c\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\">Tailieuonthi<\/a> t\u00ecm hi\u1ec3u xem b\u1ed9 t\u00e0i li\u1ec7u n\u00e0y c\u00f3 g\u00ec \u0111\u1eb7c bi\u1ec7t nh\u00e9!<\/p>\n<h2>N\u1ed9i dung B\u1ed9 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o n\u0103m h\u1ecdc 2024 \u2013 2025<\/h2>\n<p><strong>B\u1ed9 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o n\u0103m h\u1ecdc 2024 \u2013 2025<\/strong> g\u1ed3m 10 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 m\u00f4n To\u00e1n l\u1edbp 10, theo ch\u01b0\u01a1ng tr\u00ecnh Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o.M\u1ed7i \u0111\u1ec1 \u0111\u01b0\u1ee3c chia th\u00e0nh c\u00e1c ph\u1ea7n r\u00f5 r\u00e0ng v\u1edbi c\u1ea5u tr\u00fac nh\u01b0 sau:<\/p>\n<p><strong>Ph\u1ea7n A: C\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m (03 \u0111i\u1ec3m)<\/strong><\/p>\n<p>\u2013 G\u1ed3m 12 c\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m (4 \u0111\u00e1p \u00e1n A, B, C, D) m\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi nh\u01b0 d\u01b0\u1edbi \u0111\u00e2y<\/p>\n<p><strong>*C\u00e2u 1.<\/strong> T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh  1 &#8211; x\u00b2 &lt; 0  l\u00e0: A.  (0;1) . B.  (-1;0) . C.  (-1;1) . D.  (-\u221e; -1) cup (1; +\u221e) .<\/p>\n<p><strong>*C\u00e2u 2.<\/strong> Cho  a\u20d7 = (3;-4) . Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang? A.  a\u20d7 = 3i\u20d7 &#8211; 4j\u20d7 . B.  a\u20d7 = -4i\u20d7 + 3j\u20d7 . C.  a\u20d7 = 3i\u20d7 + 4j\u20d7 . D.  a\u20d7 = -3i\u20d7 + 4j\u20d7 .<\/p>\n<p><strong>Ph\u1ea7n B: C\u00e2u h\u1ecfi \u0111\u00fang\/sai (02 \u0111i\u1ec3m)<\/strong><\/p>\n<p>\u2013 G\u1ed3m 2 c\u00e2u h\u1ecfi (C\u00e2u 13 v\u00e0 C\u00e2u 14), m\u1ed7i c\u00e2u c\u00f3 4 m\u1ec7nh \u0111\u1ec1 \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 \u0111\u00fang\/sai.<\/p>\n<p><strong>*C\u00e2u 13.<\/strong> Trong chuy\u1ebfn tham quan, m\u1ed9t l\u1edbp h\u1ecdc mu\u1ed1n thu\u00ea m\u1ed9t h\u01b0\u1edbng d\u1eabn vi\u00ean cho chuy\u1ebfn tham quan, c\u00f3 hai c\u00f4ng ty \u0111\u00e3 \u0111\u01b0\u1ee3c li\u00ean h\u1ec7 \u0111\u1ec3 l\u1ea5y th\u00f4ng tin v\u1ec1 gi\u00e1. C\u00f4ng ty  A  c\u00f3 ph\u00ed d\u1ecbch v\u1ee5 ban \u0111\u1ea7u l\u00e0 375000 \u0111\u1ed3ng c\u1ed9ng v\u1edbi 5000 \u0111\u1ed3ng cho m\u1ed7i km h\u01b0\u1edbng d\u1eabn. C\u00f4ng ty  B  c\u00f3 ph\u00ed d\u1ecbch v\u1ee5 ban \u0111\u1ea7u l\u00e0 250000 \u0111\u1ed3ng c\u1ed9ng v\u1edbi 7500 \u0111\u1ed3ng cho m\u1ed7i km h\u01b0\u1edbng d\u1eabn.<\/p>\n<p><strong>*C\u00e2u 14.<\/strong> Trong m\u1eb7t ph\u1eb3ng  Oxy , cho tam gi\u00e1c  ABC  vu\u00f4ng t\u1ea1i  A(2;3) . \u0110\u01b0\u1eddng th\u1eb3ng qua trung \u0111i\u1ec3m  M  c\u1ee7a  AB  v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi  BC  t\u1ea1i  K(4;9)  c\u1eaft  AC  t\u1ea1i  E  th\u1ecfa m\u00e3n  KE = 2CK . Bi\u1ebft ho\u00e0nh \u0111\u1ed9 c\u1ee7a \u0111i\u1ec3m  M  l\u1edbn h\u01a1n 2.<\/p>\n<p><strong>Ph\u1ea7n C: C\u00e2u h\u1ecfi tr\u1ea3 l\u1eddi ng\u1eafn (02 \u0111i\u1ec3m)<\/strong><\/p>\n<p>\u2013 G\u1ed3m 4 c\u00e2u h\u1ecfi (C\u00e2u 15 \u0111\u1ebfn C\u00e2u 18) y\u00eau c\u1ea7u tr\u1ea3 l\u1eddi b\u1eb1ng s\u1ed1 ho\u1eb7c gi\u00e1 tr\u1ecb c\u1ee5 th\u1ec3.<\/p>\n<p><strong>*C\u00e2u 17:<\/strong> Trong h\u1ec7 tr\u1ee5c  Oxy , cho h\u00ecnh thoi  ABCD . Bi\u1ebft t\u1ecda \u0111\u1ed9 \u0111i\u1ec3m  A(3;-1) ,  B(4;2)  v\u00e0 t\u00e2m  I  c\u1ee7a h\u00ecnh thoi l\u00e0 \u0111i\u1ec3m c\u00f3 ho\u00e0nh \u0111\u1ed9 nguy\u00ean, n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng  \u0394: 2x + y &#8211; 4 = 0 . T\u00ednh chi\u1ec1u cao t\u1eeb \u0111\u1ec9nh  B  c\u1ee7a tam gi\u00e1c  ABD ? (L\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn ch\u1eef s\u1ed1 th\u1eadp ph\u00e2n th\u1ee9 hai)<\/p>\n<p><strong>*C\u00e2u 18:<\/strong> M\u1ed9t con t\u00e0u mu\u1ed1n xu\u1ea5t ph\u00e1t t\u1eeb h\u00f2n \u0111\u1ea3o  A  tr\u1edf v\u1ec1 b\u1edd bi\u1ec3n sau \u0111\u00f3 di chuy\u1ec3n \u0111\u1ebfn h\u00f2n \u0111\u1ea3o  B . Tr\u00ean m\u00e0n h\u00ecnh radar c\u1ee7a tr\u1ea1m \u0111i\u1ec1u khi\u1ec3n (*\u0111\u01b0\u1ee3c coi nh\u01b0 m\u1eb7t ph\u1eb3ng*  Oxy ), v\u1ecb tr\u00ed \u0111i\u1ec3m  A, B  c\u00f3 t\u1ecda \u0111\u1ed9 l\u1ea7n l\u01b0\u1ee3t l\u00e0  A(0;0) ,  B(5;-1) , gi\u1ea3 s\u1eed \u0111\u01b0\u1eddng b\u1edd bi\u1ec3n c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng l\u00e0  \u0394: x &#8211; y + 3 = 0 . T\u1ecda \u0111\u1ed9 \u0111i\u1ec3m  M(a; b)  tr\u00ean b\u1edd bi\u1ec3n m\u00e0 t\u00e0u s\u1ebd di chuy\u1ec3n \u0111\u1ebfn sao cho \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng \u0111i c\u1ee7a t\u00e0u t\u1eeb  A  \u0111\u1ebfn  B  l\u00e0 ng\u1eafn nh\u1ea5t. X\u00e1c \u0111\u1ecbnh t\u1ed5ng  S = a + b .<\/p>\n<p><strong>Ph\u1ea7n D: C\u00e2u h\u1ecfi t\u1ef1 lu\u1eadn (03 \u0111i\u1ec3m)<\/strong><\/p>\n<p>\u2013 G\u1ed3m 3 c\u00e2u h\u1ecfi (C\u00e2u 19 \u0111\u1ebfn C\u00e2u 21) y\u00eau c\u1ea7u gi\u1ea3i chi ti\u1ebft, m\u1ed1t s\u1ed1 c\u00e2u v\u00ed d\u1ee5 nh\u01b0 d\u01b0\u1edbi \u0111\u00e2y<\/p>\n<p><strong>*C\u00e2u 20.<\/strong> Trong m\u1eb7t ph\u1eb3ng  Oxy , cho \u0111\u01b0\u1eddng th\u1eb3ng  d: y = ax + b  \u0111i qua \u0111i\u1ec3m  K(1;3)  v\u00e0  d  t\u1ea1o v\u1edbi hai tia  Ox, Oy  m\u1ed9t tam gi\u00e1c c\u00f3 di\u1ec7n t\u00edch b\u1eb1ng 6. T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c  b &#8211; a .<\/p>\n<p><strong>*C\u00e2u 21.<\/strong> M\u1ed9t c\u00f4ng ty du l\u1ecbch th\u00f4ng b\u00e1o gi\u00e1 ti\u1ec1n cho chuy\u1ebfn \u0111i tham quan c\u1ee7a m\u1ed9t nh\u00f3m kh\u00e1ch nh\u01b0 sau: 50 kh\u00e1ch \u0111\u1ea7u ti\u00ean c\u00f3 gi\u00e1 300000 \u0111\u1ed3ng\/ng\u01b0\u1eddi. N\u1ebfu c\u00f3 nhi\u1ec1u h\u01a1n 50 ng\u01b0\u1eddi \u0111\u0103ng k\u00ed th\u00ec c\u1ee9 th\u00eam m\u1ed9t ng\u01b0\u1eddi, gi\u00e1 v\u00e9 s\u1ebd gi\u1ea3m 5000 \u0111\u1ed3ng\/ng\u01b0\u1eddi cho to\u00e0n b\u1ed9 h\u00e0nh kh\u00e1ch. Bi\u1ebft chi ph\u00ed th\u1ef1c s\u1ef1 c\u1ee7a chuy\u1ebfn \u0111i l\u00e0 15080000 \u0111\u1ed3ng. S\u1ed1 ng\u01b0\u1eddi c\u1ee7a nh\u00f3m kh\u00e1ch du l\u1ecbch nhi\u1ec1u nh\u1ea5t l\u00e0 bao nhi\u00eau \u0111\u1ec3 c\u00f4ng ty kh\u00f4ng b\u1ecb l\u1ed7?<\/p>\n<h2>T\u1ea3i B\u1ed9 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o n\u0103m h\u1ecdc 2024 \u2013 2025<\/h2>\n<p>\u0110\u1ec3 c\u00f3 th\u1ec3 thu\u1eadn ti\u1ec7n cho vi\u1ec7c \u00f4n luy\u1ec7n cho k\u1ef3 thi gi\u1eefa k\u1ef3 2, c\u00e1c em c\u00f3 th\u1ec3 t\u1ea3i ngay <strong>B\u1ed9 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o n\u0103m h\u1ecdc 2024 \u2013 2025<\/strong> thu\u1ed9c <a href=\"https:\/\/tailieuonthi.edu.vn\/lop-10\/toan-10\/\" rel=\"noopener\" target=\"_blank\">t\u00e0i li\u1ec7u to\u00e1n 10<\/a> theo \u0111\u01b0\u1eddng li\u00ean k\u1ebft d\u01b0\u1edbi \u0111\u00e2y nh\u00e9. Ch\u00fac c\u00e1c h\u1ecdc t\u1ed1t.<\/p>\n<p><iframe height=\"480\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/1woMeZZWWJNFBrcvFaiZjbTDxrbAy6kwq\/preview\" width=\"640\"><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/1woMeZZWWJNFBrcvFaiZjbTDxrbAy6kwq\/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\/1woMeZZWWJNFBrcvFaiZjbTDxrbAy6kwq\/view\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 To\u00e1n 10 C\u00e1nh Di\u1ec1u n\u0103m h\u1ecdc 2024 \u2013 2025<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00d4n t\u1eadp gi\u1eefa k\u1ef3 2 m\u00f4n To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o d\u1ec5 d\u00e0ng h\u01a1n v\u1edbi B\u1ed9 \u0111\u1ec1 ki\u1ec3m tra gi\u1eefa k\u1ef3 2 To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o n\u0103m h\u1ecdc 2024 \u2013 2025 c\u1ee7a \u0111\u1ed9i ng\u0169 To\u00e1n T\u1eeb T\u00e2m bi\u00ean so\u1ea1n. V\u1edbi n\u1ed9i dung b\u00e1m s\u00e1t m\u00f4n To\u00e1n 10 Ch\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o, t\u00e0i [&#8230;]\n","protected":false},"author":1,"featured_media":1503,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[60],"tags":[71,61],"class_list":["post-304","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tong-hop","tag-toan-tu-tam","tag-tong-hop"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/304","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=304"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/304\/revisions"}],"predecessor-version":[{"id":1504,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/304\/revisions\/1504"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1503"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=304"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=304"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}