{"id":334,"date":"2026-05-05T04:40:10","date_gmt":"2026-05-05T04:40:10","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-on-tap-kiem-tra-giua-hoc-ki-2-mon-toan-10-theo-cau-truc-moi-4-phan\/"},"modified":"2026-05-05T07:12:53","modified_gmt":"2026-05-05T07:12:53","slug":"bo-de-on-tap-kiem-tra-giua-hoc-ki-2-mon-toan-10-theo-cau-truc-moi-4-phan","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/bo-de-on-tap-kiem-tra-giua-hoc-ki-2-mon-toan-10-theo-cau-truc-moi-4-phan\/","title":{"rendered":"B\u1ed9 \u0111\u1ec1 \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 10 theo c\u1ea5u tr\u00fac m\u1edbi (4 ph\u1ea7n) 3 b\u1ed9 s\u00e1ch"},"content":{"rendered":"<p><strong>B\u1ed9 \u0111\u1ec1 \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 10 theo c\u1ea5u tr\u00fac m\u1edbi (4 ph\u1ea7n)<\/strong> l\u00e0 t\u1eadp t\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c h\u1ec7 th\u1ed1ng theo c\u1ea5u tr\u00fac m\u1edbi b\u1edfi th\u1ea7y gi\u00e1o Ph\u1ea1m L\u00ea Duy. V\u00e0 \u0111\u00e2y c\u0169ng ch\u00ednh l\u00e0 ch\u00eca kh\u00f3a gi\u00fap c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 10 luy\u1ec7n t\u1eadp ki\u1ec3m tra gi\u1eefa k\u00ec m\u00f4n To\u00e1n hi\u1ec7u qu\u1ea3. C\u00f9ng <strong><a href=\"https:\/\/tailieuonthi.edu.vn\/\" target=\"_blank\" rel=\"noopener\">T\u00e0i Li\u1ec7u \u00d4n Thi <\/a><\/strong>t\u00ecm hi\u1ec3u qua c\u00e1c c\u1ea5u tr\u00fac \u0111\u1ec1 n\u1ed5i b\u1eadt c\u1ee7a b\u1ed9 t\u00e0i li\u1ec7u qua b\u00e0i vi\u1ebft sau \u0111\u00e2y.<\/p>\n<h2><strong>N\u1ed9i dung B\u1ed9 \u0111\u1ec1 \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 10 theo c\u1ea5u tr\u00fac m\u1edbi (4 ph\u1ea7n)<\/strong><\/h2>\n<p><strong>B\u1ed9 \u0111\u1ec1 \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 10 theo c\u1ea5u tr\u00fac m\u1edbi (4 ph\u1ea7n)<\/strong> v\u1edbi n\u1ed9i dung \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n v\u00f4 c\u00f9ng \u0111\u1ea7y \u0111\u1ee7, t\u1eeb c\u00e1c d\u1ea1ng to\u00e1n c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao, gi\u00fap h\u1ecdc sinh r\u00e8n luy\u1ec7n \u0111\u01b0\u1ee3c t\u01b0 duy gi\u1ea3i \u0111\u1ec1. B\u1ed9 \u0111\u1ec1 c\u00f3 t\u1ea5t c\u1ea3 72 trang \u0111\u01b0\u1ee3c \u0111\u00fac k\u1ebft t\u1eeb 3 b\u1ed9 s\u00e1ch l\u1edbn v\u00e0 c\u00f3 n\u1ed9i dung c\u00e1c ph\u1ea7n sau \u0111\u00e2y:<\/p>\n<p><span><strong>\u2013 S\u00e1ch C\u00e1nh Di\u1ec1u ( 5 \u0111\u1ec1 )<\/strong><\/span><\/p>\n<p><span><strong>\u2013 S\u00e1ch Ch\u00e2n Tr\u1eddi S\u00e1ng T\u1ea1o ( 5 \u0111\u1ec1 )<\/strong><\/span><\/p>\n<p><span><strong>\u2013 S\u00e1ch K\u1ebft N\u1ed1i Tri Th\u1ee9c &amp; Cu\u1ed9c S\u1ed1ng ( 5 \u0111\u1ec1 )<\/strong><\/span><\/p>\n<p><strong>Chi ti\u1ebft c\u1ea5u tr\u00fac \u0111\u1ec1 g\u1ed3m 4 ph\u1ea7n nh\u01b0 sau:<\/strong><\/p>\n<p><span><strong>Ph\u1ea7n 1 \u2013 C\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m<\/strong><\/span><\/p>\n<p>\u2013 C\u00f3 t\u1ea5t c\u1ea3 12 c\u00e2u tr\u1eafc nghi\u1ec7m v\u1edbi 4 ph\u01b0\u01a1ng \u00e1n A, B, C, D. C\u00e1c b\u1ea1n h\u1ecdc sinh c\u00f3 th\u1ec3 tham kh\u1ea3o c\u00e1c c\u00e2u h\u1ecfi sau \u0111\u00e2y:<\/p>\n<p><strong>C\u00e2u 1.<\/strong> Trong m\u1ed9t l\u1edbp h\u1ecdc c\u00f3 15 b\u1ea1n nam v\u00e0 17 b\u1ea1n n\u1eef. C\u00f3 bao nhi\u00eau c\u00e1ch ch\u1ecdn 1 b\u1ea1n l\u00e0m l\u1edbp tr\u01b0\u1edfng?<\/p>\n<p>textbfA. 17. textbfB. 32. textbfC. 30. textbfD. 15.<\/p>\n<p><strong>C\u00e2u 2.<\/strong>Trong m\u1ed9t l\u1edbp h\u1ecdc c\u00f3 20 b\u1ea1n h\u1ecdc sinh, h\u1ecfi c\u00f3 bao nhi\u00eau c\u00e1ch ch\u1ecdn ra m\u1ed9t b\u1ea1n \u0111\u1ec3 l\u00e0m l\u1edbp tr\u01b0\u1edfng v\u00e0 m\u1ed9t b\u1ea1n kh\u00e1c l\u00e0m l\u1edbp ph\u00f3?<\/p>\n<p>textbfA. A\u2082\u2080\u00b9\u2078. textbfB. A\u2082\u2080\u00b2. textbfC. 20\u00b2. textbfD. C\u2082\u2080\u00b2.<\/p>\n<p><span><strong>Ph\u1ea7n 2 \u2013 C\u00e2u h\u1ecfi \u0111\u00fang sai<\/strong><\/span><\/p>\n<p>\u2013 Ph\u1ea7n n\u00e0y c\u00f3 2 c\u00e2u, m\u1ed7i c\u00e2u c\u00f3 4 c\u00e2u tr\u1ea3 l\u1eddi, v\u00e0 b\u1ea1n c\u1ea7n ch\u1ecdn gi\u00e1 tr\u00ed \u0111\u00fang ho\u1eb7c sai cho m\u1ed7i c\u00e2u.<\/p>\n<p><strong>C\u00e2u 1.<\/strong> C\u00f3 4 s\u00e1ch To\u00e1n, 3 s\u00e1ch L\u00ed v\u00e0 3 s\u00e1ch H\u00f3a \u0111\u01b0\u1ee3c x\u1ebfp tr\u00ean m\u1ed9t gi\u00e1 s\u00e1ch n\u1eb1m ngang.<\/p>\n<p>a) C\u00f3 bao nhi\u00eau c\u00e1ch x\u1ebfp s\u00e1ch t\u00f9y \u00fd th\u1ee9 t\u1ef1 c\u00e1c quy\u1ec3n s\u00e1ch?<\/p>\n<p>b) C\u00f3 bao nhi\u00eau c\u00e1ch ch\u1ecdn v\u00e0 x\u1ebfp 5 quy\u1ec3n s\u00e1ch t\u1eeb 10 quy\u1ec3n s\u00e1ch n\u00f3i tr\u00ean?<\/p>\n<p>c) C\u00f3 bao nhi\u00eau c\u00e1ch ch\u1ecdn 3 quy\u1ec3n s\u00e1ch t\u1eeb 10 quy\u1ec3n s\u00e1ch n\u00f3i tr\u00ean \u0111\u1ec3 \u0111\u1ecdc?<\/p>\n<p>d) C\u00f3 bao nhi\u00eau c\u00e1ch ch\u1ecdn 2 quy\u1ec3n s\u00e1ch To\u00e1n?<\/p>\n<p><strong>C\u00e2u 2.<\/strong> Tr\u00ean h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9  Oxy , cho tam gi\u00e1c  ABC  v\u1edbi  A(-2;1) ,  B(2;3) ,  C(1;7) . X\u00e9t t\u00ednh \u0111\u00fang sai c\u1ee7a c\u00e1c m\u1ec7nh \u0111\u1ec1 sau:<\/p>\n<p>a)  2AB\u20d7 = (8;4) .<\/p>\n<p>b) T\u1ecda \u0111\u1ed9 c\u1ee7a \u0111i\u1ec3m  D  l\u00e0  (5;9)  \u0111\u1ec3  ABCD  l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh.<\/p>\n<p>c) Tr\u1ecdng t\u00e2m tam gi\u00e1c  ABC  c\u00f3 t\u1ecda \u0111\u1ed9 l\u00e0  G(11\/3, 1\/3 ) .<\/p>\n<p>d) T\u1ecda \u0111\u1ed9 tr\u1ef1c t\u00e2m tam gi\u00e1c  ABC  l\u00e0  H(7\/3, 10\/3 ) .<\/p>\n<p><span><strong>Ph\u1ea7n 3 \u2013 C\u00e2u h\u1ecfi tr\u1ea3 l\u1eddi ng\u1eafn<\/strong><\/span><\/p>\n<p>\u2013 M\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi \u1edf ph\u1ea7n 3 tr\u00edch trong \u0111\u1ec1 nh\u01b0 sau:<\/p>\n<p><strong>C\u00e2u 2.<\/strong> Trong m\u1ed9t l\u1edbp h\u1ecdc c\u00f3 50 h\u1ecdc sinh, trong \u0111\u00f3 c\u00f3 4 c\u1eb7p anh em sinh \u0111\u00f4i. C\u1ea7n ch\u1ecdn m\u1ed9t nh\u00f3m 3 h\u1ecdc sinh tham gia \u0111\u1ed9i di\u1ec5n v\u0103n ngh\u1ec7 c\u1ee7a tr\u01b0\u1eddng sao cho trong nh\u00f3m kh\u00f4ng c\u00f3 c\u1eb7p anh em sinh \u0111\u00f4i n\u00e0o. Bi\u1ebft r\u1eb1ng s\u1ed1 c\u00e1ch ch\u1ecdn l\u00e0  n = abcde . H\u1ecfi gi\u00e1 tr\u1ecb c\u1ee7a  a + b + c + d + e  b\u1eb1ng bao nhi\u00eau?<\/p>\n<p><strong>C\u00e2u 3.<\/strong> \u0110\u1ed9 d\u00e0i c\u1ee7a m\u1ed9t c\u00e2y c\u1ea7u ng\u01b0\u1eddi ta \u0111o \u0111\u01b0\u1ee3c l\u00e0  996m \u00b1 0,5m . Sai s\u1ed1 t\u01b0\u01a1ng \u0111\u1ed1i t\u1ed1i \u0111a trong ph\u00e9p \u0111o l\u00e0  a% . T\u00ecm  a  (l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng ph\u1ea7n tr\u0103m)?<\/p>\n<p><span><strong>Ph\u1ea7n 4 \u2013 C\u00e2u t\u1ef1 lu\u1eadn<\/strong><\/span><\/p>\n<p>\u2013 Ch\u1ee7 y\u1ebfu c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp \u1edf ph\u1ea7n n\u00e0y xoay quanh c\u00e1c ki\u1ebfn th\u1ee9c v\u1ec1 x\u00e1c su\u1ea5t th\u1ed1ng k\u00ea, nh\u1ecb th\u1ee9c Newton, h\u00ecnh h\u1ecdc kh\u00f4ng gian,\u2026M\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi nh\u01b0 sau:<\/p>\n<p><strong>C\u00e2u 3.<\/strong> Cho m\u1eabu s\u1ed1 li\u1ec7u g\u1ed3m b\u1ed1n s\u1ed1 t\u1ef1 nhi\u00ean kh\u00e1c nhau v\u00e0 kh\u00e1c 0, bi\u1ebft s\u1ed1 trung b\u00ecnh l\u00e0 6 v\u00e0 s\u1ed1 trung v\u1ecb l\u00e0 5. T\u00ecm t\u1ea5t c\u1ea3 c\u00e1c m\u1eabu s\u1ed1 li\u1ec7u th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n tr\u00ean.<\/p>\n<p><strong>C\u00e2u 4.<\/strong> C\u00f3 hai con t\u00e0u c\u00f9ng chuy\u1ec3n \u0111\u1ed9ng \u0111\u1ec1u theo \u0111\u01b0\u1eddng th\u1eb3ng ngo\u00e0i bi\u1ec3n. Tr\u00ean m\u00e0n h\u00ecnh rada c\u1ee7a tr\u1ea1m \u0111i\u1ec1u khi\u1ec3n (\u0111\u01b0\u1ee3c coi nh\u01b0 m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9  Oxy  v\u1edbi \u0111\u01a1n v\u1ecb tr\u00ean hai tr\u1ee5c t\u00ednh theo km), t\u00e0u s\u1ed1 1 chuy\u1ec3n \u0111\u1ed9ng \u0111\u1ec1u theo h\u01b0\u1edbng \u0111\u01b0\u1eddng th\u1eb3ng  \u0394  t\u1eeb v\u1ecb tr\u00ed  A  \u0111\u1ebfn v\u1ecb tr\u00ed  C . T\u00e0u s\u1ed1 2 s\u1eafp h\u1ebft nhi\u00ean li\u1ec7u, \u0111ang \u1edf v\u1ecb tr\u00ed  B  mu\u1ed1n g\u1eb7p t\u00e0u s\u1ed1 1 \u0111\u1ec3 ti\u1ebfp nhi\u00ean li\u1ec7u. H\u1ecfi t\u00e0u s\u1ed1 2 ph\u1ea3i \u0111i \u0111o\u1ea1n \u0111\u01b0\u1eddng ng\u1eafn nh\u1ea5t l\u00e0 bao nhi\u00eau?<\/p>\n<h2><strong>T\u1ea3i B\u1ed9 \u0111\u1ec1 \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 10 theo c\u1ea5u tr\u00fac m\u1edbi (4 ph\u1ea7n)<\/strong><\/h2>\n<p><strong>B\u1ed9 \u0111\u1ec1 \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 10 theo c\u1ea5u tr\u00fac m\u1edbi (4 ph\u1ea7n)<\/strong> s\u1ebd gi\u00fap b\u1ea1n h\u1ec7 th\u1ed1ng l\u1ea1i to\u00e0n b\u1ed9 nh\u1eefng ki\u1ebfn th\u1ee9c quan tr\u1ecdng. V\u1edbi n\u1ed9i dung chu\u1ea9n c\u1ea5u tr\u00fac m\u1edbi, b\u00e1m s\u00e1t v\u00e0o \u0111\u1ec1 thi th\u1ef1c t\u1ebf, n\u00e2ng cao k\u1ebft qu\u1ea3 chinh ph\u1ee5c k\u1ef3 thi gi\u1eefa k\u00ec s\u1eafp t\u1edbi. Nh\u1ea5n v\u00e0o \u0111\u01b0\u1eddng link b\u00ean d\u01b0\u1edbi \u0111\u1ec3 t\u1ea3i ngay v\u00e0 luy\u1ec7n t\u1eadp m\u1ed7i ng\u00e0y nh\u00e9!<\/p>\n<p><iframe height=\"480\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/1Gq-vle8tBROslGdyiRDe6PwtkPGNsuKN\/preview\" width=\"640\"><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/1Gq-vle8tBROslGdyiRDe6PwtkPGNsuKN\/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\/1Gq-vle8tBROslGdyiRDe6PwtkPGNsuKN\/view?usp=drive_link\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i B\u1ed9 \u0111\u1ec1 \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 10 theo c\u1ea5u tr\u00fac m\u1edbi (4 ph\u1ea7n)<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ed9 \u0111\u1ec1 \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 10 theo c\u1ea5u tr\u00fac m\u1edbi (4 ph\u1ea7n) l\u00e0 t\u1eadp t\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c h\u1ec7 th\u1ed1ng theo c\u1ea5u tr\u00fac m\u1edbi b\u1edfi th\u1ea7y gi\u00e1o Ph\u1ea1m L\u00ea Duy. V\u00e0 \u0111\u00e2y c\u0169ng ch\u00ednh l\u00e0 ch\u00eca kh\u00f3a gi\u00fap c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 10 luy\u1ec7n t\u1eadp ki\u1ec3m tra gi\u1eefa [&#8230;]\n","protected":false},"author":1,"featured_media":1533,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[60],"tags":[61],"class_list":["post-334","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tong-hop","tag-tong-hop"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/334","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=334"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/334\/revisions"}],"predecessor-version":[{"id":1534,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/334\/revisions\/1534"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1533"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}