{"id":302,"date":"2026-05-05T04:38:26","date_gmt":"2026-05-05T04:38:26","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-kiem-tra-giua-ky-2-toan-10-canh-dieu-nam-hoc-2024-2025\/"},"modified":"2026-05-05T07:11:09","modified_gmt":"2026-05-05T07:11:09","slug":"bo-de-kiem-tra-giua-ky-2-toan-10-canh-dieu-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-canh-dieu-nam-hoc-2024-2025\/","title":{"rendered":"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"},"content":{"rendered":"<p><strong>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<\/strong> c\u1ee7a \u0111\u1ed9i ng\u0169 To\u00e1n T\u1eeb T\u00e2m mang \u0111\u1ebfn c\u01a1 h\u1ed9i luy\u1ec7n t\u1eadp to\u00e0n di\u1ec7n cho h\u1ecdc sinh l\u1edbp 10. V\u1edbi n\u1ed9i dung b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh, t\u00e0i li\u1ec7u n\u00e0y l\u00e0 ch\u00eca kh\u00f3a \u0111\u1ec3 c\u00e1c b\u1ea1n h\u1ecdc sinh chinh ph\u1ee5c k\u1ef3 thi gi\u1eefa k\u1ef3 2. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" target=\"_blank\" rel=\"noopener\">T\u00e0i Li\u1ec7u \u00d4n Thi<\/a> t\u00ecm hi\u1ec3u xem t\u00e0i li\u1ec7u n\u00e0y c\u00f3 g\u00ec hay nh\u00e9.<\/p>\n<h2>N\u1ed9i dung 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<\/h2>\n<p>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 g\u1ed3m 31 trang trong \u0111\u00f3 c\u00f3 10 \u0111\u1ec1 thi v\u1edbi c\u1ea5u tr\u00fac ph\u1ea7n 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>G\u1ed3m 12 c\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m, m\u1ed7i c\u00e2u c\u00f3 4 \u0111\u00e1p \u00e1n (A, B, C, D). H\u1ecdc sinh ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang. 1 s\u1ed1 c\u00e2u h\u1ecfi tham kh\u1ea3o<\/p>\n<p><strong>*C\u00e2u 1.<\/strong> C\u00f3 bao nhi\u00eau c\u00e1ch x\u1ebfp 7 h\u1ecdc sinh th\u00e0nh m\u1ed9t h\u00e0ng d\u1ecdc? A. 7. B. 5040. C. 1. D. 49.<\/p>\n<p><strong>*C\u00e2u 2.<\/strong> Trong m\u1eb7t ph\u1eb3ng v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9  Oxy , cho hai v\u00e9c-t\u01a1  a\u20d7 = (-1;2)  v\u00e0  b\u20d7 = (-3;2) . K\u1ebft qu\u1ea3 c\u1ee7a  a\u20d7 \u00b7 b\u20d7  b\u1eb1ng: A. (3;4). B. -16. C. 7. D. (-2i \u2013 6).<\/p>\n<p><strong>Ph\u1ea7n B: C\u00e2u h\u1ecfi tr\u1ea3 l\u1eddi \u0111\u00fang\/sai (02 \u0111i\u1ec3m)<\/strong><\/p>\n<p>G\u1ed3m 2 c\u00e2u, m\u1ed7i c\u00e2u c\u00f3 4 m\u1ec7nh \u0111\u1ec1 c\u1ea7n \u0111\u00e1nh gi\u00e1 \u0111\u00fang ho\u1eb7c sai.<\/p>\n<p><strong>Ph\u1ea7n C: C\u00e2u h\u1ecfi tr\u1ea3 l\u1eddi ng\u1eafn (02 \u0111i\u1ec3m)<\/strong><\/p>\n<p>G\u1ed3m 4 c\u00e2u h\u1ecfi y\u00eau c\u1ea7u \u0111i\u1ec1n \u0111\u00e1p s\u1ed1 c\u1ee5 th\u1ec3 (th\u01b0\u1eddng l\u00e0 s\u1ed1 ho\u1eb7c ph\u01b0\u01a1ng tr\u00ecnh). D\u01b0\u1edbi \u0111\u00e2y l\u00e0 1 s\u1ed1 c\u00e2u h\u1ecfi tham kh\u1ea3o<\/p>\n<p><strong>*C\u00e2u 15.<\/strong> S\u1ed1 nguy\u00ean d\u01b0\u01a1ng  n  th\u1ecfa m\u00e3n  A_n\u00b9 &#8211; 3A_n\u00b2 = n &#8211; 36  c\u00f3 bao nhi\u00eau \u01b0\u1edbc s\u1ed1 nguy\u00ean d\u01b0\u01a1ng?<\/p>\n<p><strong>*C\u00e2u 16.<\/strong> C\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean g\u1ed3m 4 ch\u1eef s\u1ed1 \u0111\u00f4i m\u1ed9t kh\u00e1c nhau, chia h\u1ebft cho 15 v\u00e0 m\u1ed7i ch\u1eef s\u1ed1 \u0111\u1ec1u kh\u00f4ng v\u01b0\u1ee3t qu\u00e1 5.<\/p>\n<p><strong>Ph\u1ea7n D: C\u00e2u h\u1ecfi t\u1ef1 lu\u1eadn (03 \u0111i\u1ec3m)<\/strong><\/p>\n<p>G\u1ed3m 3 c\u00e2u h\u1ecfi y\u00eau c\u1ea7u gi\u1ea3i b\u00e0i to\u00e1n chi ti\u1ebft, tr\u00ecnh b\u00e0y l\u1eddi gi\u1ea3i nh\u01b0 d\u01b0\u1edbi \u0111\u00e2y<\/p>\n<p><strong>*C\u00e2u 19.<\/strong> C\u00f3 bao nhi\u00eau s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 b\u1ea3y ch\u1eef s\u1ed1 kh\u00e1c nhau t\u1eebng \u0111\u00f4i m\u1ed9t, trong \u0111\u00f3 ch\u1eef s\u1ed1 2 \u0111\u1ee9ng li\u1ec1n gi\u1eefa hai ch\u1eef s\u1ed1 1 v\u00e0 3.<\/p>\n<p><strong>*C\u00e2u 20.<\/strong> Cho hai c\u00e2y c\u1ed9t c\u00f3 chi\u1ec1u cao l\u1ea7n l\u01b0\u1ee3t l\u00e0  3m, 5m  v\u00e0 \u0111\u01b0\u1ee3c \u0111\u1eb7t c\u00e1ch nhau  6m . M\u1ed9t s\u1ee3i d\u00e2y d\u00e0i \u0111\u01b0\u1ee3c g\u1eafn v\u00e0o \u0111\u1ec9nh c\u1ee7a m\u1ed7i c\u1ed9t v\u00e0 \u0111\u01b0\u1ee3c \u0111\u00f3ng c\u1ecdc xu\u1ed1ng \u0111\u1ea5t t\u1ea1i m\u1ed9t \u0111i\u1ec3m \u1edf gi\u1eefa hai c\u1ed9t. Chi\u1ec1u d\u00e0i s\u1ee3i d\u00e2y \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u00edt nh\u1ea5t l\u00e0 bao nhi\u00eau?<\/p>\n<p><strong>*C\u00e2u 21.<\/strong> Trong m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9  Oxy , cho tam gi\u00e1c  ABC  c\u00e2n t\u1ea1i  A  bi\u1ebft \u0111\u1ec9nh  A(6;6) . \u0110\u01b0\u1eddng th\u1eb3ng  d  \u0111i qua trung \u0111i\u1ec3m c\u00e1c c\u1ea1nh  AB, AC  c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh  x + y &#8211; 4 = 0 . Bi\u1ebft \u0111i\u1ec3m  E(1;-3)  thu\u1ed9c \u0111\u01b0\u1eddng cao \u0111i qua \u0111\u1ec9nh  C  c\u1ee7a tam gi\u00e1c  ABC . Gi\u1ea3 s\u1eed  C(x_C, y_C)  v\u00e0  x_C &gt; 0 . T\u00ednh  x_C\u00b2 + y_C\u00b2 .<\/p>\n<h2>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<\/h2>\n<p>\u0110\u1ec3 thu\u1eadn ti\u1ec7n trong vi\u1ec7n \u00f4n luy\u1ec7n, b\u1ea1n c\u00f3 th\u1ec3 t\u1ea3i ngay 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 theo \u0111\u01b0\u1eddng li\u00ean k\u1ebft d\u01b0\u1edbi \u0111\u00e2y v\u00e0 b\u1eaft tay v\u00e0o luy\u1ec7n t\u1eadp \u0111\u1ec3 \u0111\u1ea1t k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t nh\u00e9.<\/p>\n<p><iframe height=\"500\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/1KtVY8DLlg5AVvNZlBShSZN-VCH6ImRrP\/preview\" width=\"800\"><span class=\"mce_SELRES_start\" data-mce-type=\"bookmark\">\ufeff<\/span><span class=\"mce_SELRES_start\" data-mce-type=\"bookmark\">\ufeff<\/span><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/1KtVY8DLlg5AVvNZlBShSZN-VCH6ImRrP\/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\/1KtVY8DLlg5AVvNZlBShSZN-VCH6ImRrP\/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>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 c\u1ee7a \u0111\u1ed9i ng\u0169 To\u00e1n T\u1eeb T\u00e2m mang \u0111\u1ebfn c\u01a1 h\u1ed9i luy\u1ec7n t\u1eadp to\u00e0n di\u1ec7n cho h\u1ecdc sinh l\u1edbp 10. V\u1edbi n\u1ed9i dung b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh, t\u00e0i li\u1ec7u n\u00e0y l\u00e0 ch\u00eca kh\u00f3a \u0111\u1ec3 c\u00e1c b\u1ea1n h\u1ecdc sinh chinh ph\u1ee5c [&#8230;]\n","protected":false},"author":1,"featured_media":1501,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[60],"tags":[71,61],"class_list":["post-302","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\/302","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=302"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/302\/revisions"}],"predecessor-version":[{"id":1502,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/302\/revisions\/1502"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1501"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=302"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=302"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}