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{"id":3504,"date":"2016-06-06T02:14:09","date_gmt":"2016-06-06T02:14:09","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=3504"},"modified":"2016-06-06T02:14:09","modified_gmt":"2016-06-06T02:14:09","slug":"de-thi-thu-thpt-quoc-gia-mon-toan-thpt-chuyen-dai-hoc-su-pham-ha-noi-nam-2016","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/de-thi-thu-thpt-quoc-gia-mon-toan-thpt-chuyen-dai-hoc-su-pham-ha-noi-nam-2016\/","title":{"rendered":"\u0110\u1ec1 thi th\u1eed THPT Qu\u1ed1c gia m\u00f4n To\u00e1n \u2013 THPT chuy\u00ean \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m H\u00e0 N\u1ed9i n\u0103m 2016"},"content":{"rendered":"

D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0110\u1ec1 thi th\u1eed THPT Qu\u1ed1c gia m\u00f4n To\u00e1n \u2013 THPT chuy\u00ean \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m H\u00e0 N\u1ed9i n\u0103m 2016. Ch\u00fac c\u00e1c th\u00ed sinh \u00f4n t\u1eadp th\u1eadt t\u1ed1t \u0111\u1ec3 chu\u1ea9n b\u1ecb cho k\u1ef3 thi quan tr\u1ecdng s\u1eafp t\u1edbi. <\/strong><\/p>\n

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

Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 \"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a>C\u00e2u 2: (1,0 \u0111i\u1ec3m)<\/strong> T\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 \"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a>C\u00e2u 3: (1,0 \u0111i\u1ec3m)<\/strong><\/p>\n

1) T\u00ednh t\u00edch ph\u00e2n \"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a>2) C\u00f3 10 m\u1eabu c\u00e1 bi\u1ec3n l\u1ea5y t\u1eeb 10 \u0111\u1ecba \u0111i\u1ec3m kh\u00e1c nhau c\u1ea7n \u0111\u01b0\u1ee3c ki\u1ec3m tra, trong \u0111\u00f3 c\u00f3 6 m\u1eabu kh\u00f4ng an to\u00e0n v\u00e0 4 m\u1eabu an to\u00e0n. L\u1ea5y ng\u1eabu nhi\u00ean 5 m\u1eabu t\u1eeb 10 m\u1eabu n\u00e0y ra ki\u1ec3m tra. T\u00ednh x\u00e1c su\u1ea5t \u0111\u1ec3 trong 5 m\u1eabu \u0111\u01b0\u1ee3c l\u1ea5y c\u00f3 \u00edt nh\u1ea5t 3 m\u1eabu an to\u00e0n.<\/p>\n

C\u00e2u 4: (1,0 \u0111i\u1ec3m)<\/strong><\/p>\n

T\u00ecm c\u00e1c c\u0103n b\u1eadc hai c\u1ee7a s\u1ed1 ph\u1ee9c z = \u2013 i<\/p>\n

C\u00e2u 5 (1,0 \u0111i\u1ec3m)<\/strong><\/p>\n

Trong kh\u00f4ng gian v\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 Oxyz, cho m\u1eb7t ph\u1eb3ng (P): x \u2013 2y + z + 5 = 0 v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng \"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a>L\u1eadp ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng (a) ch\u1ee9a \u0111\u01b0\u1eddng th\u1eb3ng d v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng (P).<\/p>\n

C\u00e2u 6. (1,0 \u0111i\u1ec3m)<\/strong><\/p>\n

Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh \"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a>C\u00e2u 7: (1,0 \u0111i\u1ec3m)<\/strong><\/p>\n

Cho h\u00ecnh ch\u00f3p \u0111\u1ec1u S.ABC c\u00f3 c\u1ea1nh \u0111\u00e1y AB = a, m\u1eb7t b\u00ean (SAB) t\u1ea1o v\u1edbi \u0111\u00e1y m\u1ed9t g\u00f3c 60 \u0111\u1ed9. T\u00ednh kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng AB, SC v\u00e0 th\u1ec3 t\u00edch kh\u1ed1i c\u1ea7u ngo\u1ea1i ti\u1ebfp h\u00ecnh ch\u00f3p S.ABC.<\/p>\n

C\u00e2u 8 (1,0 \u0111i\u1ec3m)<\/strong><\/p>\n

Trong m\u1eb7t ph\u1eb3ng v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 Oxy, cho h\u00ecnh vu\u00f4ng ABCD. G\u1ecdi M l\u00e0 trung \u0111i\u1ec3m c\u1ee7a AB, N l\u00e0 giao \u0111i\u1ec3m c\u1ee7a CM v\u00e0 AD. \u0110\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi CM t\u1ea1i C c\u1eaft \u0111\u01b0\u1eddng th\u1eb3ng AB t\u1ea1i P. G\u1ecdi Ha l\u00e0 h\u00ecnh chi\u1ebfu vu\u00f4ng g\u00f3c c\u1ee7a M tr\u00ean NP. Bi\u1ebft M (3;6) v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng AH l\u00e0 x \u2013 y + 6 = 0. X\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 c\u00e1c \u0111\u1ec9nh c\u1ee7a h\u00ecnh vu\u00f4ng ABCD.<\/p>\n

C\u00e2u 9 (1,0 \u0111i\u1ec3m) <\/strong><\/p>\n

T\u00ecm nghi\u1ec7m th\u1ef1c c\u1ee7a h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh:\"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a>C\u00e2u 10: (1,0 \u0111i\u1ec3m)<\/strong><\/p>\n

Cho c\u00e1c s\u1ed1 th\u1ef1c d\u01b0\u01a1ng x, y, z. Ch\u1ee9ng minh b\u1ea5t \u0111\u1eb3ng th\u1ee9c.\"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a><\/p>\n

\"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a><\/p>\n

D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0110\u00e1p \u00e1n \u0110\u1ec1 thi th\u1eed THPT Qu\u1ed1c gia m\u00f4n To\u00e1n \u2013 THPT chuy\u00ean \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m H\u00e0 N\u1ed9i n\u0103m 2016<\/strong><\/p>\n

\"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a><\/p>\n

\"de-thi-thu-thpt-quoc-gia-mon-toan-nam-2016-truong-thpt-chuyen-su-pham-ha-noi-lan-4\"<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0110\u1ec1 thi th\u1eed THPT Qu\u1ed1c gia m\u00f4n To\u00e1n \u2013 THPT chuy\u00ean \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m H\u00e0 N\u1ed9i n\u0103m 2016. Ch\u00fac c\u00e1c th\u00ed sinh \u00f4n t\u1eadp th\u1eadt t\u1ed1t \u0111\u1ec3 chu\u1ea9n b\u1ecb cho k\u1ef3 thi quan tr\u1ecdng s\u1eafp t\u1edbi. C\u00e2u 1: (1,0 \u0111i\u1ec3m) Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m […]<\/p>\n","protected":false},"author":2,"featured_media":26136,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[28],"tags":[],"yoast_head":"\n\u0110\u1ec1 thi th\u1eed THPT Qu\u1ed1c gia m\u00f4n To\u00e1n \u2013 THPT chuy\u00ean \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m H\u00e0 N\u1ed9i n\u0103m 2016<\/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\/de-thi-thu-thpt-quoc-gia-mon-toan-thpt-chuyen-dai-hoc-su-pham-ha-noi-nam-2016\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0110\u1ec1 thi th\u1eed THPT Qu\u1ed1c gia m\u00f4n To\u00e1n \u2013 THPT chuy\u00ean \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m H\u00e0 N\u1ed9i n\u0103m 2016\" \/>\n<meta property=\"og:description\" content=\"D\u01b0\u1edbi \u0111\u00e2y l\u00e0 \u0110\u1ec1 thi th\u1eed THPT Qu\u1ed1c gia m\u00f4n To\u00e1n \u2013 THPT chuy\u00ean \u0110\u1ea1i h\u1ecdc S\u01b0 ph\u1ea1m H\u00e0 N\u1ed9i n\u0103m 2016. 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