H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c<\/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-bai-2-hai-duong-thang-vuong-goc\/\" \/>\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 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 1 (trang 97 H\u00ecnh h\u1ecdc 11):\u00a0Cho h\u00ecnh l\u1eadp ph\u01b0\u01a1ng ABCD.EFGH. H\u00e3y x\u00e1c \u0111\u1ecbnh g\u00f3c gi\u1eefa c\u00e1c c\u1eb7p vect\u01a1 sau \u0111\u00e2y: L\u1eddi gi\u1ea3i B\u00e0i 2 (trang 97 H\u00ecnh h\u1ecdc 11):\u00a0Cho t\u1ee9 di\u1ec7n ABCD L\u1eddi gi\u1ea3i B\u00e0i 3 (trang 97 SGK H\u00ecnh h\u1ecdc 11): a) Trong kh\u00f4ng gian n\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 b c\u00f9ng […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/\" \/>\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=\"2018-05-03T16:49:12+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-05-13T02:23:21+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/05\/bai-1-trang-97-sgk-hinh-hoc-11.png\" \/>\n\t<meta property=\"og:image:width\" content=\"110\" \/>\n\t<meta property=\"og:image:height\" content=\"107\" \/>\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\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/\",\"url\":\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/\",\"name\":\"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-05-03T16:49:12+00:00\",\"dateModified\":\"2018-05-13T02:23:21+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/#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 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c\"}]},{\"@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_head_json":{"title":"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c","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-bai-2-hai-duong-thang-vuong-goc\/","og_locale":"en_US","og_type":"article","og_title":"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c","og_description":"B\u00e0i 1 (trang 97 H\u00ecnh h\u1ecdc 11):\u00a0Cho h\u00ecnh l\u1eadp ph\u01b0\u01a1ng ABCD.EFGH. H\u00e3y x\u00e1c \u0111\u1ecbnh g\u00f3c gi\u1eefa c\u00e1c c\u1eb7p vect\u01a1 sau \u0111\u00e2y: L\u1eddi gi\u1ea3i B\u00e0i 2 (trang 97 H\u00ecnh h\u1ecdc 11):\u00a0Cho t\u1ee9 di\u1ec7n ABCD L\u1eddi gi\u1ea3i B\u00e0i 3 (trang 97 SGK H\u00ecnh h\u1ecdc 11): a) Trong kh\u00f4ng gian n\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 b c\u00f9ng […]","og_url":"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/","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":"2018-05-03T16:49:12+00:00","article_modified_time":"2018-05-13T02:23:21+00:00","og_image":[{"width":110,"height":107,"url":"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/05\/bai-1-trang-97-sgk-hinh-hoc-11.png","type":"image\/png"}],"author":"H\u00e0 Trang","twitter_card":"summary_large_image","twitter_misc":{"Written by":"H\u00e0 Trang","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/","url":"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/","name":"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c","isPartOf":{"@id":"https:\/\/lop12.edu.vn\/#website"},"datePublished":"2018-05-03T16:49:12+00:00","dateModified":"2018-05-13T02:23:21+00:00","author":{"@id":"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45"},"breadcrumb":{"@id":"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/#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 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c"}]},{"@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\/29440"}],"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=29440"}],"version-history":[{"count":3,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/29440\/revisions"}],"predecessor-version":[{"id":30043,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/posts\/29440\/revisions\/30043"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/media\/29441"}],"wp:attachment":[{"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/media?parent=29440"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/categories?post=29440"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lop12.edu.vn\/wp-json\/wp\/v2\/tags?post=29440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":29440,"date":"2018-05-03T23:49:12","date_gmt":"2018-05-03T16:49:12","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=29440"},"modified":"2018-05-13T09:23:21","modified_gmt":"2018-05-13T02:23:21","slug":"hinh-hoc-bai-2-hai-duong-thang-vuong-goc","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/hinh-hoc-bai-2-hai-duong-thang-vuong-goc\/","title":{"rendered":"H\u00ecnh h\u1ecdc – Ch\u01b0\u01a1ng 3 – B\u00e0i 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c"},"content":{"rendered":"

B\u00e0i 1 (trang 97 H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Cho h\u00ecnh l\u1eadp ph\u01b0\u01a1ng ABCD.EFGH. H\u00e3y x\u00e1c \u0111\u1ecbnh g\u00f3c gi\u1eefa c\u00e1c c\u1eb7p vect\u01a1 sau \u0111\u00e2y:<\/p>\n

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

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

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

B\u00e0i 2 (trang 97 H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Cho t\u1ee9 di\u1ec7n ABCD<\/p>\n

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

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

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

B\u00e0i 3 (trang 97 SGK H\u00ecnh h\u1ecdc 11):<\/b><\/p>\n

a) Trong kh\u00f4ng gian n\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 b c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng c th\u00ec a v\u00e0 b c\u00f3 song song v\u1edbi nhau kh\u00f4ng?<\/p>\n

b) Trong kh\u00f4ng gian n\u1ebfu \u0111\u01b0\u1eddng th\u1eb3ng a vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng b v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng b vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng c th\u00ec a c\u00f3 vu\u00f4ng g\u00f3c v\u1edbi c kh\u00f4ng?<\/p>\n

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

a) Trong kh\u00f4ng gian n\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 b c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng c th\u00ec n\u00f3i chung a v\u00e0 b kh\u00f4ng song song v\u1edbi nhau v\u00ec a v\u00e0 b c\u00f3 th\u1ec3 c\u1eaft nhau ho\u1eb7c c\u00f3 th\u1ec3 ch\u00e9o nhau.<\/p>\n

b) Trong kh\u00f4ng gian n\u1ebfu a \u22a5 b v\u00e0 b \u22a5c th\u00ec a v\u00e0 c v\u1eabn c\u00f3 th\u1ec3 c\u1eaft nhau ho\u1eb7c ch\u00e9o nhau do \u0111\u00f3, n\u00f3i chung a v\u00e0 c kh\u00f4ng vu\u00f4ng g\u00f3c v\u1edbi nhau.<\/p>\n

B\u00e0i 4 (trang 98 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Cho hai tam gi\u00e1c \u0111\u1ec1u ABC v\u00e0 ABC^{‘<\/sup>\u00a0trong kh\u00f4ng gian n\u00f3i chung c\u1ea1nh AB v\u00e0 n\u1eb1m trong hai m\u1eb7t ph\u1eb3ng kh\u00e1c nhau. G\u1ecdi M, N, P v\u00e0 Q l\u1ea7n l\u01b0\u1ee3t l\u00e0 trung \u0111i\u1ec3m c\u1ee7a c\u00e1c c\u1ea1nh AC, CB, BC^{‘<\/sup>v\u00e0 C^{‘<\/sup>A.<\/p>\n}}}

Ch\u1ee9ng minh r\u1eb1ng:<\/p>\n

a) AB \u22a5 CC^{‘<\/sup><\/p>\n}

b) T\u1ee9 gi\u00e1c MNPQ l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt.<\/p>\n

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

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

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

B\u00e0i 5 (trang 98 SGK H\u00ecnh h\u1ecdc 11):<\/b><\/p>\n

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

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

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

B\u00e0i 6 (trang 98 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Trong kh\u00f4ng gian cho hai h\u00ecnh vu\u00f4ng ABCD v\u00e0 ABC^{‘<\/sup>D^{‘<\/sup>\u00a0c\u00f3 chung c\u1ea1nh AB v\u00e0 n\u1eb1m trong hai m\u1eb7t ph\u1eb3ng kh\u00e1c nhau, l\u1ea7n l\u01b0\u1ee3t c\u00f3 t\u00e2m O v\u00e0 O^{‘<\/sup>. Ch\u1ee9ng minh r\u1eb1ng AB \u22a5OO^{‘<\/sup>\u00a0v\u00e0 CDD^{‘<\/sup>C^{‘<\/sup>l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt.<\/p>\n}}}}}}

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

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

B\u00e0i 7 (trang 98 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Cho S l\u00e0 di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c ABC. Ch\u1ee9ng minh r\u1eb1ng :<\/p>\n

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

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

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

B\u00e0i 8 (trang 98 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Cho t\u1ee9 di\u1ec7n ABCD c\u00f3 AB = AC = AD v\u00e0 …<\/p>\n

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

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

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

B\u00e0i 1 (trang 97 H\u00ecnh h\u1ecdc 11):\u00a0Cho h\u00ecnh l\u1eadp ph\u01b0\u01a1ng ABCD.EFGH. H\u00e3y x\u00e1c \u0111\u1ecbnh g\u00f3c gi\u1eefa c\u00e1c c\u1eb7p vect\u01a1 sau \u0111\u00e2y: L\u1eddi gi\u1ea3i B\u00e0i 2 (trang 97 H\u00ecnh h\u1ecdc 11):\u00a0Cho t\u1ee9 di\u1ec7n ABCD L\u1eddi gi\u1ea3i B\u00e0i 3 (trang 97 SGK H\u00ecnh h\u1ecdc 11): a) Trong kh\u00f4ng gian n\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 b c\u00f9ng […]<\/p>\n","protected":false},"author":3,"featured_media":29441,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[1318],"tags":[1464,1463],"yoast_head":"\nH\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 3 - B\u00e0i 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c<\/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-bai-2-hai-duong-thang-vuong-goc\/\" \/>\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 2 : Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 1 (trang 97 H\u00ecnh h\u1ecdc 11):\u00a0Cho h\u00ecnh l\u1eadp ph\u01b0\u01a1ng ABCD.EFGH. 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