{"id":398,"date":"2026-05-05T04:43:41","date_gmt":"2026-05-05T04:43:41","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/111-cau-hoi-on-tap-kiem-tra-giua-hoc-ki-2-mon-toan-11\/"},"modified":"2026-05-05T07:16:25","modified_gmt":"2026-05-05T07:16:25","slug":"111-cau-hoi-on-tap-kiem-tra-giua-hoc-ki-2-mon-toan-11","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/111-cau-hoi-on-tap-kiem-tra-giua-hoc-ki-2-mon-toan-11\/","title":{"rendered":"111 c\u00e2u h\u1ecfi \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 11"},"content":{"rendered":"

111 c\u00e2u h\u1ecfi \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 11<\/strong> \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh, gi\u00fap h\u1ecdc sinh l\u00e0m quen v\u1edbi c\u00e1c d\u1ea1ng b\u00e0i thi chu\u1ea9n. V\u1edbi h\u1ec7 th\u1ed1ng c\u00e2u h\u1ecfi \u0111a d\u1ea1ng, bao g\u1ed3m c\u00e1c ch\u1ee7 \u0111\u1ec1 nh\u01b0 l\u0169y th\u1eeba, logarit, h\u00e0m s\u1ed1 m\u0169 \u2013 logarit, b\u00e0i to\u00e1n d\u00e2n s\u1ed1, g\u00f3c gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 nhi\u1ec1u ch\u1ee7 \u0111\u1ec1 kh\u00e1c, \u0111\u00e2y ch\u00ednh l\u00e0 tr\u1ee3 th\u1ee7 \u0111\u1eafc l\u1ef1c gi\u00fap b\u1ea1n t\u1ef1 tin chinh ph\u1ee5c k\u1ef3 thi. H\u00e3y c\u00f9ng Tailieuonthi<\/strong><\/a> kh\u00e1m ph\u00e1 ngay b\u1ed9 t\u00e0i li\u1ec7u n\u00e0y \u0111\u1ec3 n\u00e2ng cao ki\u1ebfn th\u1ee9c c\u1ee7a m\u00ecnh!<\/p>\n

N\u1ed9i dung 111 c\u00e2u h\u1ecfi \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 11<\/b><\/h2>\n

B\u1ed9 \u0111\u1ec1 111 c\u00e2u h\u1ecfi \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 11<\/strong> c\u00f3 11 ch\u1ee7 \u0111\u1ec1 ch\u00ednh, bao g\u1ed3m L\u0169y th\u1eeba, Logarit, H\u00e0m s\u1ed1 m\u0169 logarit, Ph\u01b0\u01a1ng tr\u00ecnh, B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u0169 logarit, B\u00e0i to\u00e1n d\u00e2n s\u1ed1, G\u00f3c gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng, \u0110\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c m\u1eb7t ph\u1eb3ng, M\u1eb7t ph\u1eb3ng vu\u00f4ng g\u00f3c m\u1eb7t ph\u1eb3ng, C\u00e2u h\u1ecfi \u0111\u00fang sai v\u00e0 T\u1ef1 lu\u1eadn. M\u1ed7i ch\u1ee7 \u0111\u1ec1 \u0111\u1ec1u c\u00f3 c\u00e1c c\u00e2u h\u1ecfi c\u1ee5 th\u1ec3, gi\u00fap h\u1ecdc sinh t\u1ef1 tin chinh ph\u1ee5c k\u1ef3 thi s\u1eafp t\u1edbi.<\/p>\n

Tr\u00edch m\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi trong 111 c\u00e2u h\u1ecfi \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 11 thu\u1ed9c \u0111\u1ec1 c\u01b0\u01a1ng \u00f4n t\u1eadp to\u00e1n 11<\/strong><\/p>\n

C\u00e2u 1.<\/strong> Cho c\u00e1c s\u1ed1 th\u1ef1c a, b, m, n ( a, b > 0 ). Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang?
\nA. a\u207f \u00b7 a^m = a^n^m .
\nB. (a^m)\u207f = a^m+n .
\nC. (a + b)^m = a^m + b^m .
\nD. (a^m)\/(a\u207f) = \u221aa^m-n .<\/p>\n

C\u00e2u 2.<\/strong> V\u1edbi a l\u00e0 s\u1ed1 th\u1ef1c d\u01b0\u01a1ng t\u00f9y \u00fd, \u221a[3]a\u2074 b\u1eb1ng: A. a^3\/2 . B. a^-2\/3 . C. a^2\/3 . D. a^4\/3 .<\/p>\n

C\u00e2u 53.<\/strong> T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh log(2x) < log(x+6) l\u00e0: A. [0;6) . B. (0;6) . C. (6;+\u221e) . D. (-\u221e;6) .<\/p>\n

C\u00e2u 54.<\/strong> T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh log\u2082(2x) < log\u2082(x+2) l\u00e0: A. (0;2) . B. [0;2) . C. (2;+\u221e) . D. (-\u221e;2) .<\/p>\n

C\u00e2u 110.<\/strong> Chu k\u00ec b\u00e1n r\u00e3 c\u1ee7a ch\u1ea5t ph\u00f3ng x\u1ea1 Plutonium \u00b2\u00b3\u2079Pu l\u00e0 24360 n\u0103m (t\u1ee9c l\u00e0 m\u1ed9t l\u01b0\u1ee3ng ch\u1ea5t \u00b2\u00b3\u2079Pu sau 24360 n\u0103m ph\u00e2n h\u1ee7y c\u00f2n m\u1ed9t n\u1eeda). S\u1ef1 ph\u00e2n h\u1ee7y n\u00e0y \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: S = A e^-rt trong \u0111\u00f3:
\n\u2013 A l\u00e0 l\u01b0\u1ee3ng ch\u1ea5t ph\u00f3ng x\u1ea1 ban \u0111\u1ea7u,
\n\u2013 r l\u00e0 t\u1ec9 l\u1ec7 ph\u00e2n h\u1ee7y h\u1eb1ng n\u0103m,
\n\u2013 t l\u00e0 th\u1eddi gian ph\u00e2n h\u1ee7y,
\n\u2013 S l\u00e0 l\u01b0\u1ee3ng c\u00f2n l\u1ea1i sau th\u1eddi gian ph\u00e2n h\u1ee7y t .
\nH\u1ecfi 20 gam \u00b2\u00b3\u2079Pu sau \u00edt nh\u1ea5t bao nhi\u00eau n\u0103m th\u00ec ph\u00e2n h\u1ee7y c\u00f2n 4 gam?<\/p>\n

C\u00e2u 111.<\/strong> Ng\u01b0\u1eddi ta th\u1ea3 m\u1ed9t l\u01b0\u1ee3ng b\u00e8o v\u00e0o m\u1ed9t h\u1ed3 n\u01b0\u1edbc. K\u1ebft qu\u1ea3 cho th\u1ea5y sau 9 gi\u1edd b\u00e8o s\u1ebd sinh s\u00f4i k\u00edn c\u1ea3 m\u1eb7t h\u1ed3. Bi\u1ebft r\u1eb1ng sau m\u1ed7i gi\u1edd, l\u01b0\u1ee3ng b\u00e8o t\u0103ng g\u1ea5p 10 l\u1ea7n l\u01b0\u1ee3ng b\u00e8o tr\u01b0\u1edbc \u0111\u00f3 v\u00e0 t\u1ed1c \u0111\u1ed9 t\u0103ng kh\u00f4ng \u0111\u1ed5i. H\u1ecfi sau m\u1ea5y gi\u1edd th\u00ec l\u01b0\u1ee3ng b\u00e8o ph\u1ee7 k\u00edn 1\/3 m\u1eb7t h\u1ed3?<\/p>\n

T\u1ea3i 111 c\u00e2u h\u1ecfi \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 11<\/b><\/h2>\n

\u0110\u1ec3 \u0111\u1ea1t k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t trong k\u1ef3 thi gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 11, vi\u1ec7c \u00f4n t\u1eadp k\u1ef9 l\u01b0\u1ee1ng l\u00e0 v\u00f4 c\u00f9ng quan tr\u1ecdng. T\u00e0i li\u1ec7u 111 c\u00e2u h\u1ecfi \u00f4n t\u1eadp ki\u1ec3m tra gi\u1eefa h\u1ecdc k\u00ec 2 m\u00f4n To\u00e1n 11<\/strong> s\u1ebd gi\u00fap b\u1ea1n l\u00e0m quen v\u1edbi c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp v\u00e0 t\u1ef1 tin h\u01a1n khi b\u01b0\u1edbc v\u00e0o ph\u00f2ng thi. \u0110\u1eebng b\u1ecf l\u1ee1 c\u01a1 h\u1ed9i n\u00e2ng cao \u0111i\u1ec3m s\u1ed1 c\u1ee7a m\u00ecnh! H\u00e3y click v\u00e0o \u0111\u01b0\u1eddng d\u1eabn d\u01b0\u1edbi \u0111\u00e2y \u0111\u1ec3 t\u1ea3i to\u00e0n b\u1ed9 t\u00e0i li\u1ec7u!<\/p>\n