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{"id":21190,"date":"2018-03-13T23:07:51","date_gmt":"2018-03-13T16:07:51","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=21190"},"modified":"2018-03-13T23:07:51","modified_gmt":"2018-03-13T16:07:51","slug":"giai-tich-chuong-1-tap-bai-tap-trac-nghiem","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/","title":{"rendered":"Gi\u1ea3i t\u00edch – Ch\u01b0\u01a1ng 1 – \u00d4n t\u1eadp – B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m"},"content":{"rendered":"

B\u00e0i 1 (trang 47 SGK Gi\u1ea3i t\u00edch 12):\u00a0S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y = – 1\/3 x3<\/sup>\u00a0– x + 7 l\u00e0:<\/strong><\/span><\/p>\n

(A) 1 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (B) 0 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (C) 3 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (D) 2<\/p>\n

L\u1eddi gi\u1ea3i:<\/b><\/p>\n

– Ch\u1ecdn \u0111\u00e1p \u00e1n\u00a0B<\/b><\/p>\n

– Ta c\u00f3: y’ = -x2<\/sup>\u00a0– 1 < 0 \u2200 x \u2208 R<\/p>\n

H\u00e0m s\u1ed1 lu\u00f4n ngh\u1ecbch bi\u1ebfn tr\u00ean t\u1eadp x\u00e1c \u0111\u1ecbnh n\u00ean kh\u00f4ng c\u00f3 c\u1ef1c tr\u1ecb.<\/p>\n

B\u00e0i 2 (trang 47 SGK Gi\u1ea3i t\u00edch 12):\u00a0S\u1ed1 \u0111i\u1ec3m c\u1ef1c \u0111\u1ea1i c\u1ee7a h\u00e0m s\u1ed1 y = x4<\/sup>\u00a0+ 100 l\u00e0:<\/strong><\/span><\/p>\n

(A) 0 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (B) 1 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (C) 2 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (D) 3<\/p>\n

L\u1eddi gi\u1ea3i:<\/b><\/p>\n

– Ch\u1ecdn \u0111\u00e1p \u00e1n\u00a0A<\/b><\/p>\n

– Ta c\u00f3: y’ = 4x3<\/sup>\u00a0= 0 \u21d4 x = 0<\/p>\n

H\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn tr\u00ean (-\u221e; 0) v\u00e0 \u0111\u1ed3ng bi\u1ebfn tr\u00ean (0; +\u221e) => h\u00e0m s\u1ed1 ch\u1ec9 c\u00f3 c\u1ef1c ti\u1ec3u ch\u1ee9 kh\u00f4ng c\u00f3 c\u1ef1c \u0111\u1ea1i.<\/p>\n

(B\u1ea1n c\u00f3 th\u1ec3 v\u1ebd b\u1ea3ng bi\u1ebfn thi\u00ean \u0111\u1ec3 th\u1ea5y r\u00f5 h\u01a1n.)<\/p>\n

B\u00e0i 3 (trang 47 SGK Gi\u1ea3i t\u00edch 12):\u00a0S\u1ed1 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1<\/strong><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

l\u00e0: (A) 1 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (B) 2 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (C) 3 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (D) 0<\/p>\n

L\u1eddi gi\u1ea3i:<\/b><\/p>\n

– Ch\u1ecdn \u0111\u00e1p \u00e1n\u00a0B<\/b><\/p>\n

– Ta c\u00f3: 1 + x =0 \u21d4 x = -1<\/p>\n

\"\"<\/p>\n

 <\/p>\n

\u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 c\u00f3 ti\u1ec7m c\u1eadn \u0111\u1ee9ng x = -1.<\/p>\n

 <\/p>\n

\"\"<\/p>\n

\u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 c\u00f3 ti\u1ec7m c\u1eadn ngang y = -1.<\/p>\n

=> \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 c\u00f3\u00a02<\/b>\u00a0\u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn.<\/p>\n

B\u00e0i 4 (trang 47 SGK Gi\u1ea3i t\u00edch 12):\u00a0H\u00e0m s\u1ed1<\/strong><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

\u0111\u1ed3ng bi\u1ebfn tr\u00ean: (A) R ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (B) (-\u221e;3) ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (C) (-3; +\u221e) ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (D) R \\ {-3}<\/p>\n

L\u1eddi gi\u1ea3i:<\/b><\/p>\n

– Ch\u1ecdn \u0111\u00e1p \u00e1n\u00a0D<\/b><\/p>\n

– TX\u0110: D = R \\ {-3}<\/p>\n

 <\/p>\n

\"\"<\/p>\n

=> H\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn tr\u00ean D = R \\ {-3}.<\/p>\n

B\u00e0i 5 (trang 47 SGK Gi\u1ea3i t\u00edch 12):\u00a0Ti\u1ebfp tuy\u1ebfn t\u1ea1i \u0111i\u1ec3m c\u1ef1c ti\u1ec3u c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1:<\/strong><\/span><\/p>\n

 <\/p>\n

\"\"<\/p>\n

(A) Song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng x = 1;<\/p>\n

(B) Song song v\u1edbi tr\u1ee5c ho\u00e0nh;<\/p>\n

(C) C\u00f3 h\u1ec7 s\u1ed1 g\u00f3c d\u01b0\u01a1ng;<\/p>\n

(D) C\u00f3 h\u1ec7 s\u1ed1 g\u1ecdc b\u1eb1ng -1.<\/p>\n

L\u1eddi gi\u1ea3i:<\/b><\/p>\n

– Ch\u1ecdn \u0111\u00e1p \u00e1n\u00a0B<\/b><\/p>\n

– Ta c\u00f3: y’ = x2<\/sup>\u00a0– 4x + 3<\/p>\n

y’ = 0 \u21d4 x = 1 ; x = 3<\/p>\n

y”= 2x – 4<\/p>\n

Ta c\u00f3: y”(3) = 2 > 0<\/p>\n

=> h\u00e0m s\u1ed1 \u0111\u1ea1t c\u1ef1c ti\u1ec3u t\u1ea1i x = 3 (Quy t\u1eafc 2).<\/p>\n

M\u1eb7t kh\u00e1c, ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn t\u1ea1i \u0111i\u1ec3m c\u1ef1c ti\u1ec3u c\u00f3 h\u1ec7 s\u1ed1 g\u00f3c l\u00e0 y'(3) = 0. Do \u0111\u00f3 ti\u1ebfp tuy\u1ebfn song song v\u1edbi tr\u1ee5c ho\u00e0nh.<\/p>\n

 <\/p>\n

 <\/p>\n

<\/div>\n","protected":false},"excerpt":{"rendered":"

B\u00e0i 1 (trang 47 SGK Gi\u1ea3i t\u00edch 12):\u00a0S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y = – 1\/3 x3\u00a0– x + 7 l\u00e0: (A) 1 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (B) 0 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (C) 3 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (D) 2 L\u1eddi gi\u1ea3i: – Ch\u1ecdn \u0111\u00e1p \u00e1n\u00a0B – Ta c\u00f3: y’ = -x2\u00a0– 1 < 0 […]<\/p>\n","protected":false},"author":3,"featured_media":21191,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[1298],"tags":[1377,1356,1355],"yoast_head":"\nGi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp - B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m<\/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\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp - B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 1 (trang 47 SGK Gi\u1ea3i t\u00edch 12):\u00a0S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y = – 1\/3 x3\u00a0– x + 7 l\u00e0: (A) 1 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (B) 0 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (C) 3 ; \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 (D) 2 L\u1eddi gi\u1ea3i: – Ch\u1ecdn \u0111\u00e1p \u00e1n\u00a0B – Ta c\u00f3: y’ = -x2\u00a0– 1 < 0 […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/\" \/>\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=\"2018-03-13T16:07:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/bai-3-trang-47-sgk-giai-tich-12.png\" \/>\n\t<meta property=\"og:image:width\" content=\"111\" \/>\n\t<meta property=\"og:image:height\" content=\"52\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"H\u00e0 Trang\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"H\u00e0 Trang\" \/>\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\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/\",\"url\":\"https:\/\/lop12.edu.vn\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/\",\"name\":\"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp - B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-03-13T16:07:51+00:00\",\"dateModified\":\"2018-03-13T16:07:51+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lop12.edu.vn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Gi\u1ea3i t\u00edch – Ch\u01b0\u01a1ng 1 – \u00d4n t\u1eadp – B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m\"}]},{\"@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\/2da855e5d06b553ac0065157cc261a45\",\"name\":\"H\u00e0 Trang\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g\",\"caption\":\"H\u00e0 Trang\"},\"url\":\"https:\/\/lop12.edu.vn\/author\/trangvth2\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp - B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m","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\/giai-tich-chuong-1-tap-bai-tap-trac-nghiem\/","og_locale":"en_US","og_type":"article","og_title":"Gi\u1ea3i t\u00edch - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp - B\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m","og_description":"B\u00e0i 1 (trang 47 SGK Gi\u1ea3i t\u00edch 12):\u00a0S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y = – 1\/3 x3\u00a0– x + 7 l\u00e0: (A) 1 ; 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