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{"id":3701,"date":"2016-06-28T08:25:00","date_gmt":"2016-06-28T08:25:00","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=3701"},"modified":"2016-11-11T09:18:37","modified_gmt":"2016-11-11T09:18:37","slug":"dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/","title":{"rendered":"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n c\u1ee7a B\u1ed9 GD&\u0110T 2015"},"content":{"rendered":"

\u0110\u00e1p \u00e1n \u0111\u1ec1 thi m\u00f4n To\u00e1n THPT Qu\u1ed1c gia n\u0103m 2015 c\u1ee7a B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o, c\u00e1c em tham kh\u1ea3o \u0111\u1ec3 bi\u1ebft \u0111\u01b0\u1ee3c c\u1ea5u tr\u00fac \u0111\u1ec1 v\u00e0 barem \u0111i\u1ec3m ch\u1ea5m nh\u00e9!<\/p>\n\n\n\n
\n

B\u1ed8 GI\u00c1O D\u1ee4C V\u00c0 \u0110\u00c0O T\u1ea0O<\/strong><\/p>\n

____________________<\/strong><\/p>\n

\u0110\u1ec0 THI CH\u00cdNH TH\u1ee8C<\/strong><\/p>\n

(\u0110\u1ec1 thi g\u1ed3m 01 trang)<\/em><\/p>\n<\/td>\n

\n

K\u00cc THI TRUNG H\u1eccC PH\u1ed4 TH\u00d4NG QU\u1ed0C GIA N\u0102M 2015<\/strong><\/p>\n

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

Th\u1eddi gian l\u00e0m b\u00e0i: 180 ph\u00fat, kh\u00f4ng k\u1ec3 th\u1eddi gian giao \u0111\u1ec1<\/em><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

C\u00e2u 1 (1,0 \u0111i\u1ec3m)<\/strong>. Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y = x3<\/sup> \u2013 3x<\/p>\n

C\u00e2u 2( 1,0 \u0111i\u1ec3m).<\/strong> T\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t v\u00e0 gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 f(x) = x + 4\/x tr\u00ean \u0111o\u1ea1n [1;3]<\/p>\n

C\u00e2u 3. (1,0 \u0111i\u1ec3m)<\/strong><\/p>\n

a) Cho s\u1ed1 ph\u1ee9c z th\u1ecfa m\u00e3n (1 \u2013 i)z \u2013 1 + 5i = 0 . T\u00ecm ph\u1ea7n th\u1ef1c v\u00e0 ph\u1ea7n \u1ea3o c\u1ee7a z<\/p>\n

\"Dap<\/p>\n

b) Trong \u0111\u1ee3t \u1ee9ng ph\u00f3 d\u1ecbch MERS \u2013CoV, S\u1edf Y t\u1ebf Th\u00e0nh ph\u1ed1 \u0111\u00e3 ch\u1ecdn ng\u1eabu nhi\u00ean 3 \u0111\u00f4i ph\u00f2ng ch\u1ed1ng d\u1ecbch c\u01a1 \u0111\u1ed9ng trong s\u1ed1 5 \u0111\u1ed9i c\u1ee7a Trung t\u00e2m y t\u1ebf d\u1ef1 ph\u00f2ng th\u00e0nh ph\u1ed1 v\u00e0 20 \u0111\u1ed9i c\u1ee7a c\u00e1c Trung t\u00e2m y t\u1ebf c\u01a1 s\u1edf \u0111\u1ec3 ki\u1ec3m tra c\u00f4ng t\u00e1c chu\u1ea9n b\u1ecb. T\u00ednh x\u00e1c su\u1ea5t \u0111\u1ec3 c\u00f3 \u00edt nh\u1ea5t 2 \u0111\u1ed9i c\u1ee7a c\u00e1c trung t\u00e2m y t\u1ebf c\u01a1 s\u1edf \u0111\u01b0\u1ee3c ch\u1ecdn.<\/p>\n

C\u00e2u 7 (1,0 \u0111i\u1ec3m)<\/strong>. Cho h\u00ecnh ch\u00f3p S.ABCD c\u00f3 \u0111\u00e1y ABCD l\u00e0 h\u00ecnh vu\u00f4ng c\u1ea1nh a, SA vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3n (ABCD) g\u00f3c gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng SC v\u00e0 m\u1eb7t ph\u1eb3ng (ABCD) b\u1eb1ng 450<\/sup>\u00ad<\/sub>. T\u00ednh theo a th\u1ec3 t\u00edch kh\u1ed1i ch\u00f3p S.ABCD v\u00e0 kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng SB, AC.<\/p>\n

C\u00e2u 8 (1,0 \u0111i\u1ec3m)<\/strong>. Trong m\u1eb7t ph\u1eb3ng v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 Oxy, cho tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A. G\u1ecdi H l\u00e0 h\u00ecnh chi\u1ebfu vu\u00f4ng g\u00f3c c\u1ee7a A tr\u00ean c\u1ea1nh BC, D l\u00e0 \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng c\u1ee7a B\u00a0 qua H; K l\u00e0 h\u00ecnh chi\u1ebfu vu\u00f4ng g\u00f3c c\u1ee7a C tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng AD. Gi\u1ea3 s\u1eed H(-5;-5); K(9;-3) v\u00e0 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh AC thu\u1ed9c \u0111\u01b0\u1eddng th\u1eb3ng x- y + 10 = 0 . T\u00ecm t\u1ecda \u0111\u1ed9 \u0111i\u1ec3m A.<\/p>\n

\"Dap<\/p>\n

\"13524198_10205714801463114_574162715_o\"<\/p>\n

Theo Tuyensinh247.com<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

\u0110\u00e1p \u00e1n \u0111\u1ec1 thi m\u00f4n To\u00e1n THPT Qu\u1ed1c gia n\u0103m 2015 c\u1ee7a B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o, c\u00e1c em tham kh\u1ea3o \u0111\u1ec3 bi\u1ebft \u0111\u01b0\u1ee3c c\u1ea5u tr\u00fac \u0111\u1ec1 v\u00e0 barem \u0111i\u1ec3m ch\u1ea5m nh\u00e9! B\u1ed8 GI\u00c1O D\u1ee4C V\u00c0 \u0110\u00c0O T\u1ea0O ____________________ \u0110\u1ec0 THI CH\u00cdNH TH\u1ee8C (\u0110\u1ec1 thi g\u1ed3m 01 trang) K\u00cc THI TRUNG H\u1eccC PH\u1ed4 TH\u00d4NG […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[22],"tags":[],"yoast_head":"\n\u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n c\u1ee7a B\u1ed9 GD&\u0110T 2015<\/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\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n c\u1ee7a B\u1ed9 GD&\u0110T 2015\" \/>\n<meta property=\"og:description\" content=\"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi m\u00f4n To\u00e1n THPT Qu\u1ed1c gia n\u0103m 2015 c\u1ee7a B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o, c\u00e1c em tham kh\u1ea3o \u0111\u1ec3 bi\u1ebft \u0111\u01b0\u1ee3c c\u1ea5u tr\u00fac \u0111\u1ec1 v\u00e0 barem \u0111i\u1ec3m ch\u1ea5m nh\u00e9! B\u1ed8 GI\u00c1O D\u1ee4C V\u00c0 \u0110\u00c0O T\u1ea0O ____________________ \u0110\u1ec0 THI CH\u00cdNH TH\u1ee8C (\u0110\u1ec1 thi g\u1ed3m 01 trang) K\u00cc THI TRUNG H\u1eccC PH\u1ed4 TH\u00d4NG […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12 l\u1edbn nh\u1ea5t t\u1ea1i Vi\u1ec7t Nam\" \/>\n<meta property=\"article:published_time\" content=\"2016-06-28T08:25:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2016-11-11T09:18:37+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/images.tuyensinh247.com\/picture\/2015\/0704\/toan-thpt-2015-1.jpg\" \/>\n<meta name=\"author\" content=\"Thu H\u01b0\u01a1ng\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Thu H\u01b0\u01a1ng\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/lop12.edu.vn\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/\",\"url\":\"https:\/\/lop12.edu.vn\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/\",\"name\":\"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n c\u1ee7a B\u1ed9 GD&\u0110T 2015\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2016-06-28T08:25:00+00:00\",\"dateModified\":\"2016-11-11T09:18:37+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/a37935c3c859cc908088334047878c87\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lop12.edu.vn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n c\u1ee7a B\u1ed9 GD&\u0110T 2015\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/lop12.edu.vn\/#website\",\"url\":\"https:\/\/lop12.edu.vn\/\",\"name\":\"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/lop12.edu.vn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/a37935c3c859cc908088334047878c87\",\"name\":\"Thu H\u01b0\u01a1ng\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/5cb73f4a14844c4a42ce9b1decae8026?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/5cb73f4a14844c4a42ce9b1decae8026?s=96&d=mm&r=g\",\"caption\":\"Thu H\u01b0\u01a1ng\"},\"url\":\"https:\/\/lop12.edu.vn\/author\/huongttt2\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n c\u1ee7a B\u1ed9 GD&\u0110T 2015","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/lop12.edu.vn\/dap-de-thi-thpt-quoc-gia-mon-toan-cua-bo-gddt-2015-2\/","og_locale":"en_US","og_type":"article","og_title":"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi THPT Qu\u1ed1c gia m\u00f4n To\u00e1n c\u1ee7a B\u1ed9 GD&\u0110T 2015","og_description":"\u0110\u00e1p \u00e1n \u0111\u1ec1 thi m\u00f4n To\u00e1n THPT Qu\u1ed1c gia n\u0103m 2015 c\u1ee7a B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0111\u00e0o t\u1ea1o, c\u00e1c em tham kh\u1ea3o \u0111\u1ec3 bi\u1ebft \u0111\u01b0\u1ee3c c\u1ea5u tr\u00fac \u0111\u1ec1 v\u00e0 barem \u0111i\u1ec3m ch\u1ea5m nh\u00e9! 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