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{"id":20367,"date":"2018-03-11T23:31:58","date_gmt":"2018-03-11T16:31:58","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=20367"},"modified":"2018-03-11T23:35:13","modified_gmt":"2018-03-11T16:35:13","slug":"hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/","title":{"rendered":"H\u00ecnh h\u1ecdc – Ch\u01b0\u01a1ng 3 – B\u00e0i Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng"},"content":{"rendered":"

B\u00e0i 1 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng:<\/strong><\/span><\/p>\n

\"\"<\/p>\n

L\u1eddi gi\u1ea3i<\/strong><\/p>\n

\"\"<\/p>\n

B\u00e0i 2 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB v\u1edbi A(2; 3; 7), B(4; 1; 3)<\/strong><\/span><\/p>\n

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

\"\"<\/p>\n

B\u00e0i 3 (trang 80 SGK H\u00ecnh h\u1ecdc 12):<\/strong><\/span><\/p>\n

a) L\u1eadp ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a c\u00e1c m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9 Oxy, Oyz v\u00e0 Ozx<\/strong><\/span><\/p>\n

b) L\u1eadp ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a c\u00e1c m\u1eb7t ph\u1eb3ng \u0111i qua \u0111i\u1ec3m M(2; 6; -3) v\u00e0 l\u1ea7n l\u01b0\u1ee3t song song v\u1edbi c\u00e1c m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9.<\/strong><\/span><\/p>\n

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

\"\"<\/p>\n

B\u00e0i 4 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0L\u1eadp ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng:<\/strong><\/span><\/p>\n

a)Ch\u1ee9a tr\u1ee5c Ox v\u00e0 \u0111i\u1ec3m P(4; -1; 2)<\/strong><\/span><\/p>\n

b)Ch\u1ee9a tr\u1ee5c Oy v\u00e0 \u0111i\u1ec3m Q(1; 4; -3)<\/strong><\/span><\/p>\n

c)Ch\u1ee9a tr\u1ee5c Oz v\u00e0 \u0111i\u1ec3m R(3; -4; 7)<\/strong><\/span><\/p>\n

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

\"\"<\/p>\n

B\u00e0i 5 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Cho t\u1ee9 di\u1ec7n c\u00f3 c\u00e1c \u0111\u1ec9nh l\u00e0 A(5; 1; 3), B(1; 6; 2), C(5; 0; 4), D(4; 0; 6)<\/strong><\/span><\/p>\n

a)H\u00e3y vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a c\u00e1c m\u1eb7t ph\u1eb3ng (ACD) v\u00e0 (BCD)<\/strong><\/span><\/p>\n

b)H\u00e3y vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng (\u03b1) \u0111i qua c\u1ea1nh AB v\u00e0 song song v\u1edbi c\u1ea1nh CD.<\/strong><\/span><\/p>\n

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

\"\"<\/p>\n

B\u00e0i 6 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0H\u00e3y vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng (\u03b1) \u0111i qua \u0111i\u1ec3m M(2; -1; 2) v\u00e0 song song v\u1edbi m\u1eb7t ph\u1eb3ng (\u03b2) : 2x \u2013 y + 3z + 4 = 0<\/strong><\/span><\/p>\n

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

V\u00ec m\u1eb7t ph\u1eb3ng (\u03b1) song song v\u1edbi m\u1eb7t ph\u1eb3ng ( \u03b2) : 2x \u2013 y + 3z + 4 = 0 n\u00ean ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a mp(\u03b1) c\u00f3 d\u1ea1ng 2x \u2013 y + 3z + D = 0<\/p>\n

V\u00ec M(2; -1; 2) \u2208 mp(\u03b1) n\u00ean 4 + 1 + 6 + D = 0 <=> D = -11<\/p>\n

V\u1eady ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a mp(\u03b1) l\u00e0: 2x \u2013 y + 3z – 11= 0<\/p>\n

B\u00e0i 7 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0L\u1eadp ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng (\u03b1) qua hai \u0111i\u1ec3m A(1; 0; 1), B(5; 2; 3) v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng ( \u03b2) : 2x \u2013 y + z \u2013 7 = 0<\/strong><\/span><\/p>\n

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

<\/div>\n
\"\"<\/div>\n
\n

B\u00e0i 8(trang 81 SGK H\u00ecnh h\u1ecdc 12):\u00a0X\u00e1c \u0111\u1ecbnh c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a m v\u00e0 n \u0111\u1ec3 m\u1ed7i c\u1eb7p m\u1eb7t ph\u1eb3ng sau \u0111\u00e2y l\u00e0 m\u1ed9t c\u1eb7p m\u1eb7t ph\u1eb3ng song song v\u1edbi nhau;<\/strong><\/span><\/p>\n

a)2x + my + 3z \u2013 5 = 0 v\u00e0 nx \u2013 8y \u2013 6z + 2 =0<\/strong><\/span><\/p>\n

b)3x \u2013 5y + mz \u2013 3 = 0 v\u00e0 2x + ny \u2013 3z + 1 = 0<\/strong><\/span><\/p>\n

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

\"\"<\/p>\n

B\u00e0i 9 (trang 81 SGK H\u00ecnh h\u1ecdc 12):\u00a0T\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m A(2; 4; -3) l\u1ea7n l\u01b0\u1ee3t \u0111\u1ebfn c\u00e1c m\u1eb7t ph\u1eb3ng sau:<\/strong>a) 2x \u2013 y + 2z \u2013 9 = 0 (\u03b1)<\/strong>b) 12x \u2013 5z + 5 = 0 ( \u03b2)<\/strong>c) x = 0 ( \u03b3;)<\/strong><\/span><\/p>\n

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

\"\"<\/p>\n

B\u00e0i 10 (trang 81 SGK H\u00ecnh h\u1ecdc 12):\u00a0gi\u1ea3i b\u00e0i to\u00e1n sau \u0111\u00e2y b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p t\u1ecda \u0111\u1ed9:<\/strong><\/span><\/p>\n

Cho h\u00ecnh l\u1eadp ph\u01b0\u01a1ng ABCD.A’B’C’D’ c\u00f3 c\u1ea1nh b\u1eb1ng 1.<\/strong><\/span><\/p>\n

a)Ch\u1ee9ng minh hai m\u1eb7t ph\u1eb3ng (AB’D’) v\u00e0 (BC’D) song song.<\/strong><\/span><\/p>\n

b)T\u00ednh kho\u1ea3ng c\u00e1ch gi\u1eefa hai m\u1eb7t ph\u1eb3ng n\u00f3i tr\u00ean.<\/strong><\/span><\/p>\n

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

\"\"\"\"<\/p>\n

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

B\u00e0i 1 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng: L\u1eddi gi\u1ea3i B\u00e0i 2 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB v\u1edbi A(2; 3; 7), B(4; 1; 3) L\u1eddi gi\u1ea3i: B\u00e0i 3 (trang 80 SGK H\u00ecnh h\u1ecdc 12): a) L\u1eadp ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a c\u00e1c […]<\/p>\n","protected":false},"author":3,"featured_media":20368,"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":"\nH\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng<\/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\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 1 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng: L\u1eddi gi\u1ea3i B\u00e0i 2 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB v\u1edbi A(2; 3; 7), B(4; 1; 3) L\u1eddi gi\u1ea3i: B\u00e0i 3 (trang 80 SGK H\u00ecnh h\u1ecdc 12): a) L\u1eadp ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a c\u00e1c […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/\" \/>\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=\"2018-03-11T16:31:58+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-03-11T16:35:13+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/bai-1-trang-80-sgk-hinh-hoc-12.png\" \/>\n\t<meta property=\"og:image:width\" content=\"493\" \/>\n\t<meta property=\"og:image:height\" content=\"204\" \/>\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=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/\",\"url\":\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/\",\"name\":\"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-03-11T16:31:58+00:00\",\"dateModified\":\"2018-03-11T16:35:13+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lop12.edu.vn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"H\u00ecnh h\u1ecdc – Ch\u01b0\u01a1ng 3 – B\u00e0i Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng\"}]},{\"@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":"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng","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\/hinh-hoc-chuong-3-bai-phuong-trinh-mat-phang\/","og_locale":"en_US","og_type":"article","og_title":"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng","og_description":"B\u00e0i 1 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng: L\u1eddi gi\u1ea3i B\u00e0i 2 (trang 80 SGK H\u00ecnh h\u1ecdc 12):\u00a0Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB v\u1edbi A(2; 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