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{"id":23916,"date":"2018-03-27T11:30:37","date_gmt":"2018-03-27T04:30:37","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=23916"},"modified":"2018-03-27T11:30:37","modified_gmt":"2018-03-27T04:30:37","slug":"dai-so-chuong-1-luyen-tap-trang-36","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/","title":{"rendered":"\u0110\u1ea1i s\u1ed1 – Ch\u01b0\u01a1ng 1- Luy\u1ec7n t\u1eadp (trang 36)"},"content":{"rendered":"

B\u00e0i 37 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):<\/b><\/span><\/p>\n

T\u00ecm c\u00e1c ti\u1ec7m c\u1eadn c\u1ee7a m\u1ed7i \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 sau:<\/p>\n

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

a) TX\u0110: (-\u221e; -1] \u222a[1; +\u221e)<\/p>\n

V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng y = 2x l\u00e0 ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb (khi x->+\u221e)<\/p>\n

\n
\n

B\u00e0i 38 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):<\/b><\/span><\/p>\n

a) T\u00ecm ti\u1ec7m c\u1eadn \u0111\u1ee9ng v\u00e0 ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb \u00a9 c\u1ee7a h\u00e0m s\u1ed1 :<\/p>\n

X\u00e1c \u0111\u1ecbnh giao \u0111i\u1ec3m I c\u1ee7a hai ti\u1ec7m c\u1eadn tr\u00ean v\u00e0 vi\u1ebft c\u00f4ng th\u1ee9c chuy\u1ec3n h\u1ec7 t\u1ecda \u0111\u1ed9 trong ph\u00e9p t\u1ecbnh ti\u1ebfn theo vect\u01a1 OI.<\/p>\n

Vi\u1ebft Ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a \u0111\u01b0\u1eddng cong \u00a9 \u0111\u1ed1i v\u1edbi h\u1ec7 IXY. T\u1eeb \u0111\u00f3 suy ra r\u1eb1ng I l\u00e0 t\u00e2m \u0111\u1ed1i x\u1ee9ng c\u1ee7a \u0111\u01b0\u1eddng cong \u00a9.<\/p>\n

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

a) TX\u0110: R \\ {3}<\/p>\n

n\u00ean \u0111\u01b0\u1eddng th\u1eb3ng x = 3 l\u00e0 ti\u1ec7m c\u1eadn \u0111\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb (khi x \u2192 3–<\/sup>\u00a0v\u00e0 khi x \u2192 3+<\/sup>)<\/p>\n

H\u00e0m s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft l\u1ea1i l\u00e0:<\/p>\n

n\u00ean \u0111\u01b0\u1eddng th\u1eb3ng y = x + 1 l\u00e0 ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb (khi x->-\u221e v\u00e0 khi x->+\u221e)<\/p>\n

K\u1ebft lu\u1eadn: Ti\u1ec7m c\u1eadn \u0111\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng x =3<\/p>\n

Ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng y = x + 1.<\/p>\n

G\u1ecdi I l\u00e0 giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng x = 3.<\/p>\n

Khi \u0111\u00f3, t\u1ecda \u0111\u1ed9 I l\u00e0 nghi\u1ec7m c\u1ee7a h\u1ec7<\/p>\n

V\u1eady I(3; 4) \u0111\u1ed1i v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 Oxy.<\/p>\n

C\u00f4ng th\u1ee9c chuy\u1ec3n \u0111\u1ed5i h\u1ec7 t\u1ecda \u0111\u1ed9 trong ph\u00e9p t\u1ecbnh ti\u1ebfn theo vect\u01a1 OI l\u00e0:<\/p>\n

c) Vi\u1ebft Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng cong \u00a9 \u0111\u1ed1i v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 IXY.<\/p>\n

V\u00ec Y=X+5\/X l\u00e0 h\u00e0m s\u1ed1 l\u1ebb n\u00ean \u00a9 nh\u1eadn g\u00f3c t\u1ecda \u0111\u1ed9 I l\u00e0 t\u00e2m \u0111\u1ed1i x\u1ee9ng.<\/p>\n

B\u00e0i 39 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):<\/b><\/span><\/p>\n

C\u00f9ng c\u00e1c c\u00e2u h\u1ecfi nh\u01b0 b\u00e0i t\u1eadp 38 v\u1edbi \u0111\u1ed3 th\u00ec c\u1ee7a h\u00e0m s\u1ed1 sau:<\/p>\n

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

a) TX\u0110: R \\ {-2}<\/p>\n

+ Ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb l\u00e0 y=x-1 (khi x->-\u221e v\u00e0 x->+\u221e)<\/p>\n

n\u00ean \u0111\u01b0\u1eddng th\u1eb3ng x = -2 l\u00e0 ti\u1ec7m c\u1eadn \u0111\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb (khi x->(-2)–<\/sup>\u00a0v\u00e0 khi x->(-2)+<\/sup>)<\/p>\n

+ Giao \u0111i\u1ec3m I c\u1ee7a hai \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn l\u00e0 I(-2; -3).<\/p>\n

+ C\u00f4ng th\u1ee9c chuy\u1ec3n h\u1ec7 t\u1ecda \u0111\u1ed9 trong ph\u00e9p t\u1ecbnh ti\u1ebfn theo vect\u01a1 OI l\u00e0<\/p>\n

+ Ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a \u0111\u01b0\u1eddng cong (C2<\/sub>) trong h\u1ec7 t\u1ecda \u0111\u1ed9 IXY<\/p>\n

V\u1eady (C2<\/sub>) trong h\u1ec7 t\u1ecda \u0111\u1ed9 IXY c\u00f3 Ph\u01b0\u01a1ng tr\u00ecnh Y=X-2\/X<\/p>\n

\u0110\u00e2y l\u00e0 h\u00e0m s\u1ed1 l\u1ebb n\u00ean \u0111\u1ed3 th\u1ecb (C1<\/sub>) nh\u1eadn g\u1ed1c t\u1ecda \u0111\u1ed9 I l\u00e0m t\u00e2m \u0111\u1ed1i x\u1ee9ng.<\/p>\n

+ Ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb C2<\/sub>) l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng y=x-3 (khi x->+\u221e) v\u00e0 khi x->-\u221e).<\/p>\n

Ti\u1ec7m c\u1eadn \u0111\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng x = 5 (khi x->5–<\/sup>\u00a0v\u00e0 khi x->5+<\/sup>)<\/p>\n

+ Giao \u0111i\u1ec3m I c\u1ee7a hai ti\u1ec7m c\u1eadn c\u00f3 t\u1ecda \u0111\u1ed9 I(5; 2)<\/p>\n

+ C\u00f4ng th\u1ee9c chuy\u1ec3n h\u1ec7 t\u1ecda \u0111\u1ed9 trong ph\u00e9p t\u1ecbnh ti\u1ebfn theo OI l\u00e0<\/p>\n

+ Ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a \u0111\u01b0\u1eddng cong C2<\/sub>\u00a0trong h\u1ec7 t\u1ecda \u0111\u1ed9 IXY:<\/p>\n

Ta c\u00f3 Ph\u01b0\u01a1ng tr\u00ecnh :<\/p>\n

\u0110\u00e2y l\u00e0 h\u00e0m l\u1ebb n\u00ean \u0111\u1ed3 th\u1ecb (C2<\/sub>) n\u00f3 nh\u1eadn g\u1ed1c t\u1ecda \u0111\u1ed9 I l\u00e0m t\u00e2m \u0111\u1ed1i x\u1ee9ng.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

B\u00e0i 37 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao): T\u00ecm c\u00e1c ti\u1ec7m c\u1eadn c\u1ee7a m\u1ed7i \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 sau: L\u1eddi gi\u1ea3i: a) TX\u0110: (-\u221e; -1] \u222a[1; +\u221e) V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng y = 2x l\u00e0 ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb (khi x->+\u221e) B\u00e0i 38 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao): a) […]<\/p>\n","protected":false},"author":3,"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":[1302],"tags":[1392,1393],"yoast_head":"\n\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 1- Luy\u1ec7n t\u1eadp (trang 36)<\/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-1-luyen-tap-trang-36\/\" \/>\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 1- Luy\u1ec7n t\u1eadp (trang 36)\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 37 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao): T\u00ecm c\u00e1c ti\u1ec7m c\u1eadn c\u1ee7a m\u1ed7i \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 sau: L\u1eddi gi\u1ea3i: a) TX\u0110: (-\u221e; -1] \u222a[1; +\u221e) V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng y = 2x l\u00e0 ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb (khi x->+\u221e) B\u00e0i 38 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao): a) […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/\" \/>\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=\"2018-03-27T04:30:37+00:00\" \/>\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=\"3 minutes\" \/>\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-1-luyen-tap-trang-36\/\",\"url\":\"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/\",\"name\":\"\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 1- Luy\u1ec7n t\u1eadp (trang 36)\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-03-27T04:30:37+00:00\",\"dateModified\":\"2018-03-27T04:30:37+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/#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 1- Luy\u1ec7n t\u1eadp (trang 36)\"}]},{\"@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 1- Luy\u1ec7n t\u1eadp (trang 36)","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-1-luyen-tap-trang-36\/","og_locale":"en_US","og_type":"article","og_title":"\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 1- Luy\u1ec7n t\u1eadp (trang 36)","og_description":"B\u00e0i 37 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao): T\u00ecm c\u00e1c ti\u1ec7m c\u1eadn c\u1ee7a m\u1ed7i \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 sau: L\u1eddi gi\u1ea3i: a) TX\u0110: (-\u221e; -1] \u222a[1; +\u221e) V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng y = 2x l\u00e0 ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb (khi x->+\u221e) B\u00e0i 38 (trang 36 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao): a) […]","og_url":"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/","og_site_name":"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12 l\u1edbn nh\u1ea5t t\u1ea1i Vi\u1ec7t Nam","article_published_time":"2018-03-27T04:30:37+00:00","author":"H\u00e0 Trang","twitter_card":"summary_large_image","twitter_misc":{"Written by":"H\u00e0 Trang","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/","url":"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/","name":"\u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 1- Luy\u1ec7n t\u1eadp (trang 36)","isPartOf":{"@id":"https:\/\/lop12.edu.vn\/#website"},"datePublished":"2018-03-27T04:30:37+00:00","dateModified":"2018-03-27T04:30:37+00:00","author":{"@id":"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45"},"breadcrumb":{"@id":"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/lop12.edu.vn\/dai-so-chuong-1-luyen-tap-trang-36\/#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 1- Luy\u1ec7n t\u1eadp (trang 36)"}]},{"@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\/"}]}},"_links":{"self":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/23916"}],"collection":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/comments?post=23916"}],"version-history":[{"count":1,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/23916\/revisions"}],"predecessor-version":[{"id":23917,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/23916\/revisions\/23917"}],"wp:attachment":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/media?parent=23916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/categories?post=23916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/tags?post=23916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}