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{"id":23346,"date":"2018-03-24T11:09:19","date_gmt":"2018-03-24T04:09:19","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=23346"},"modified":"2018-03-24T11:09:19","modified_gmt":"2018-03-24T04:09:19","slug":"dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/","title":{"rendered":"\u0110\u1ea1i s\u1ed1 – Ch\u01b0\u01a1ng 2 – B\u00e0i 8: H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh m\u0169 v\u00e0 l\u00f4garit"},"content":{"rendered":"

B\u00e0i 72 (trang 127 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):<\/b>\u00a0<\/span><\/p>\n

Gi\u1ea3i c\u00e1c h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh:<\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

\u0110i\u1ec1u ki\u1ec7n: x > 0; y > 0<\/p>\n

H\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng d\u01b0\u01a1ng:<\/p>\n

\"\"<\/p>\n

V\u1eady t\u1eadp nguy\u1ec7m c\u1ee7a h\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 S={(2;18),(18;2)}<\/p>\n

\"\"<\/p>\n

C\u00e1ch 1. R\u00fat y=1-x t\u1eeb Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea7u, th\u1ebf v\u00e0o Ph\u01b0\u01a1ng tr\u00ecnh th\u1ee9 hai \u0111\u01b0\u1ee3c:<\/p>\n

4-2x<\/sup>+4-2(1-x)<\/sup>=0,5 <=> (42x<\/sup>\u00a0)2-8.42x<\/sup>+16=0<\/p>\n

\u0110\u1eb7t t=42x<\/sup>\u00a0(t > 0), ta \u0111\u01b0\u1ee3c t2<\/sup>-8t+16=0 <=> t = 4<\/p>\n

V\u1edbi t = 4 => 42x<\/sup>=4 <=> 2x = 1 <=> x=1\/2 => y=1\/2<\/p>\n

Nghi\u1ec7m c\u1ee7a h\u1ec7 l\u00e0:<\/p>\n

\"\"<\/p>\n

C\u00e1ch 2. x+y=1 <=> 4x+y<\/sup>=4 <=> 4x<\/sup>.4y<\/sup>=4<\/p>\n

\u0110\u1eb7t u=4x<\/sup>,v=4y<\/sup>\u00a0ta \u0111\u01b0\u1ee3c:<\/p>\n

\"\"<\/p>\n

V\u00ec u > 0; v > 0<\/p>\n

=> T\u1eadp nghi\u1ec7m c\u1ee7a h\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh l\u00e0<\/p>\n

\"\"<\/p>\n

B\u00e0i 73 (trang 127 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):<\/b><\/span><\/p>\n

Gi\u1ea3i c\u00e1c h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/p>\n

\"\"<\/p>\n

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

a) T\u1eeb Ph\u01b0\u01a1ng tr\u00ecnh th\u1ee9 hai ta suy ra: x+y=5 => y = 5 \u2013 x<\/p>\n

Th\u1ebf v\u00e0o Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u00e2u ta \u0111\u01b0\u1ee3c:<\/p>\n

\"\"<\/p>\n

V\u1eady h\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nghi\u1ec7m (x, y) l\u00e0 (-2; 7)<\/p>\n

\"\"<\/p>\n

\u0110\u1eb7t u=log2<\/sub>(x+y) v\u00e0 v=log2<\/sub>(x-y)<\/p>\n

\"\"<\/p>\n

V\u1eady h\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nghi\u1ec7m (x; y) l\u00e0 (3\/2;1\/2)<\/p>\n","protected":false},"excerpt":{"rendered":"

B\u00e0i 72 (trang 127 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):\u00a0 Gi\u1ea3i c\u00e1c h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh: L\u1eddi gi\u1ea3i: \u0110i\u1ec1u ki\u1ec7n: x > 0; y > 0 H\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng d\u01b0\u01a1ng: V\u1eady t\u1eadp nguy\u1ec7m c\u1ee7a h\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 S={(2;18),(18;2)} C\u00e1ch 1. R\u00fat y=1-x t\u1eeb Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea7u, th\u1ebf v\u00e0o Ph\u01b0\u01a1ng tr\u00ecnh th\u1ee9 hai \u0111\u01b0\u1ee3c: 4-2x+4-2(1-x)=0,5 […]<\/p>\n","protected":false},"author":3,"featured_media":23347,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[1302],"tags":[1392,1393],"yoast_head":"\n\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 2 - B\u00e0i 8: H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh m\u0169 v\u00e0 l\u00f4garit<\/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\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 2 - B\u00e0i 8: H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh m\u0169 v\u00e0 l\u00f4garit\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 72 (trang 127 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):\u00a0 Gi\u1ea3i c\u00e1c h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh: L\u1eddi gi\u1ea3i: \u0110i\u1ec1u ki\u1ec7n: x > 0; y > 0 H\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng d\u01b0\u01a1ng: V\u1eady t\u1eadp nguy\u1ec7m c\u1ee7a h\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 S={(2;18),(18;2)} C\u00e1ch 1. R\u00fat y=1-x t\u1eeb Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea7u, th\u1ebf v\u00e0o Ph\u01b0\u01a1ng tr\u00ecnh th\u1ee9 hai \u0111\u01b0\u1ee3c: 4-2x+4-2(1-x)=0,5 […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/\" \/>\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=\"2018-03-24T04:09:19+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/1-403.png\" \/>\n\t<meta property=\"og:image:width\" content=\"290\" \/>\n\t<meta property=\"og:image:height\" content=\"121\" \/>\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=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/lop12.edu.vn\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/\",\"url\":\"https:\/\/lop12.edu.vn\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/\",\"name\":\"\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 2 - B\u00e0i 8: H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh m\u0169 v\u00e0 l\u00f4garit\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-03-24T04:09:19+00:00\",\"dateModified\":\"2018-03-24T04:09:19+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lop12.edu.vn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0110\u1ea1i s\u1ed1 – Ch\u01b0\u01a1ng 2 – B\u00e0i 8: H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh m\u0169 v\u00e0 l\u00f4garit\"}]},{\"@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":"\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 2 - B\u00e0i 8: H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh m\u0169 v\u00e0 l\u00f4garit","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\/dai-so-chuong-2-bai-8-he-phuong-trinh-mu-va-logarit\/","og_locale":"en_US","og_type":"article","og_title":"\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 2 - B\u00e0i 8: H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh m\u0169 v\u00e0 l\u00f4garit","og_description":"B\u00e0i 72 (trang 127 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):\u00a0 Gi\u1ea3i c\u00e1c h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh: L\u1eddi gi\u1ea3i: \u0110i\u1ec1u ki\u1ec7n: x > 0; y > 0 H\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng d\u01b0\u01a1ng: V\u1eady t\u1eadp nguy\u1ec7m c\u1ee7a h\u1ec7 Ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 S={(2;18),(18;2)} C\u00e1ch 1. 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