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{"id":2467,"date":"2016-04-11T02:27:18","date_gmt":"2016-04-11T02:27:18","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=2467"},"modified":"2016-11-11T10:18:32","modified_gmt":"2016-11-11T10:18:32","slug":"minh-hoa-de-thi-thpt-quoc-gia-mon-toan-nam-2015_bo-giao-duc-va-dao-tao","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/minh-hoa-de-thi-thpt-quoc-gia-mon-toan-nam-2015_bo-giao-duc-va-dao-tao\/","title":{"rendered":"Minh h\u1ecda \u0111\u1ec1 thi THPT qu\u1ed1c gia M\u00f4n To\u00e1n n\u0103m 2015_B\u1ed9 gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o"},"content":{"rendered":"

D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0110\u1ec1 thi minh h\u1ecda THPT qu\u1ed1c gia M\u00f4n To\u00e1n _B\u1ed9 gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o n\u0103m 2015 . Ch\u00fac c\u00e1c b\u1ea1n h\u1ecdc sinh \u00f4n t\u1eadp th\u1eadt t\u1ed1t \u0111\u1ec3 chu\u1ea9n b\u1ecb cho k\u1ef3 thi quan tr\u1ecdng n\u00e0y!<\/p>\n

B<\/strong>\u1ed8 GI\u00c1O D<\/strong>\u1ee4C V\u00c0 <\/strong>\u0110\u00c0O T<\/strong>\u1ea0O <\/strong>\u0110\u1ec0 THI MINH H<\/strong>\u1eccA<\/strong><\/p>\n

K<\/strong>\u1ef2 THI THPT QU<\/strong>\u1ed0C GIA N<\/strong>\u0102M 2015 <\/strong><\/p>\n

M\u00f4n: TO\u00c1N <\/strong><\/p>\n

Th<\/em>\u1eddi gian l\u00e0m b\u00e0i: 180 ph\u00fat.<\/em><\/p>\n

C\u00e2u 1.<\/strong>(2,0 <\/em>\u0111i<\/em>\u1ec3m<\/em>) Cho h\u00e0m s\u1ed1: \"de<\/a>a. Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb (C<\/em>) c\u1ee7a h\u00e0m s\u1ed1 \u0111\u00e3 cho.<\/p>\n

b. Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb (C<\/em>), bi\u1ebft ti\u1ebfp \u0111i\u1ec3m c\u00f3 ho\u00e0nh \u0111\u1ed9 x <\/em>= 1<\/p>\n

C\u00e2u 2. <\/strong>(1,0 <\/em>\u0111i<\/em>\u1ec3m<\/em>)<\/p>\n

\"de<\/a><\/p>\n

C\u00e2u 3.<\/strong>(0,5 <\/em>\u0111i<\/em>\u1ec3m<\/em>) Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh:<\/p>\n

\"de<\/a><\/p>\n

C\u00e2u 4.<\/strong>(1,0 <\/em>\u0111i<\/em>\u1ec3m<\/em>) Gi\u1ea3i b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh:<\/p>\n

\"de<\/a><\/p>\n

C\u00e2u 5.<\/strong>(1,0 <\/em>\u0111i<\/em>\u1ec3m<\/em>) T\u00ednh t\u00edch ph\u00e2n:<\/p>\n

\"de<\/a><\/p>\n

\"de<\/a><\/p>\n

C\u00e2u 8.<\/strong>(1,0 <\/em>\u0111i<\/em>\u1ec3m<\/em>) Trong kh\u00f4ng gian v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 Oxyz<\/em>, cho hai \u0111i\u1ec3m A<\/em>(2; 0; 0) v\u00e0 B<\/em>(1; 1; \u22121). Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng trung tr\u1ef1c (P<\/em>) c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB<\/em> v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t c\u1ea7u t\u00e2m O<\/em>, ti\u1ebfp x\u00fac v\u1edbi (P<\/em>).<\/p>\n

C\u00e2u 9.<\/strong>(0,5 <\/em>\u0111i<\/em>\u1ec3m<\/em>) Hai th\u00ed sinh A<\/em> v\u00e0 B<\/em> tham gia m\u1ed9t bu\u1ed5i thi v\u1ea5n \u0111\u00e1p. C\u00e1n b\u1ed9 h\u1ecfi thi \u0111\u01b0a cho m\u1ed7i th\u00ed sinh m\u1ed9t b\u1ed9 c\u00e2u h\u1ecfi thi g\u1ed3m 10 c\u00e2u h\u1ecfi kh\u00e1c nhau, \u0111\u01b0\u1ee3c \u0111\u1ef1ng trong 10 phong b\u00ec d\u00e1n k\u00edn, c\u00f3 h\u00ecnh th\u1ee9c gi\u1ed1ng h\u1ec7t nhau, m\u1ed7i phong b\u00ec \u0111\u1ef1ng 1 c\u00e2u h\u1ecfi; th\u00ed sinh ch\u1ecdn 3 phong b\u00ec trong s\u1ed1 \u0111\u00f3 \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh c\u00e2u h\u1ecfi thi c\u1ee7a m\u00ecnh. Bi\u1ebft r\u1eb1ng b\u1ed9 10 c\u00e2u h\u1ecfi thi d\u00e0nh cho c\u00e1c th\u00ed sinh l\u00e0 nh\u01b0 nhau, t\u00ednh x\u00e1c su\u1ea5t \u0111\u1ec3 3 c\u00e2u h\u1ecfi A<\/em> ch\u1ecdn v\u00e0 3 c\u00e2u h\u1ecfi B<\/em> ch\u1ecdn l\u00e0 gi\u1ed1ng nhau.<\/p>\n

C\u00e2u 10.<\/strong>(1,0 <\/em>\u0111i<\/em>\u1ec3m<\/em>) X\u00e9t s\u1ed1 th\u1ef1c x<\/em>. T\u00ecm gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a bi\u1ec3u th\u1ee9c sau:<\/p>\n

\"de<\/a><\/p>\n

\u0110\u00c1P \u00c1N \u0110\u1ec0 THI<\/strong><\/p>\n

\"De<\/a><\/p>\n

\"De<\/a><\/p>\n

\"De<\/a><\/p>\n

\"De<\/a><\/p>\n

\"De<\/a><\/p>\n

\"De<\/a><\/p>\n

\"De<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0110\u1ec1 thi minh h\u1ecda THPT qu\u1ed1c gia M\u00f4n To\u00e1n _B\u1ed9 gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o n\u0103m 2015 . Ch\u00fac c\u00e1c b\u1ea1n h\u1ecdc sinh \u00f4n t\u1eadp th\u1eadt t\u1ed1t \u0111\u1ec3 chu\u1ea9n b\u1ecb cho k\u1ef3 thi quan tr\u1ecdng n\u00e0y! B\u1ed8 GI\u00c1O D\u1ee4C V\u00c0 \u0110\u00c0O T\u1ea0O \u0110\u1ec0 THI MINH H\u1eccA K\u1ef2 THI THPT QU\u1ed0C GIA N\u0102M […]<\/p>\n","protected":false},"author":2,"featured_media":16295,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[157],"tags":[],"yoast_head":"\nMinh h\u1ecda \u0111\u1ec1 thi THPT qu\u1ed1c gia M\u00f4n To\u00e1n n\u0103m 2015_B\u1ed9 gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lop12.edu.vn\/minh-hoa-de-thi-thpt-quoc-gia-mon-toan-nam-2015_bo-giao-duc-va-dao-tao\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Minh h\u1ecda \u0111\u1ec1 thi THPT qu\u1ed1c gia M\u00f4n To\u00e1n n\u0103m 2015_B\u1ed9 gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o\" \/>\n<meta property=\"og:description\" content=\"D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0110\u1ec1 thi minh h\u1ecda THPT qu\u1ed1c gia M\u00f4n To\u00e1n _B\u1ed9 gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o n\u0103m 2015 . 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