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{"id":29376,"date":"2018-05-03T23:19:06","date_gmt":"2018-05-03T16:19:06","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=29376"},"modified":"2018-05-03T23:19:06","modified_gmt":"2018-05-03T16:19:06","slug":"hinh-hoc-bai-tap-on-tap-chuong-3","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/hinh-hoc-bai-tap-on-tap-chuong-3\/","title":{"rendered":"H\u00ecnh H\u1ecdc – B\u00e0i t\u1eadp \u00f4n t\u1eadp ch\u01b0\u01a1ng 3"},"content":{"rendered":"

B\u00e0i 1 (trang 121 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y, m\u1ec7nh \u0111\u1ec1 n\u00e0o l\u00e0 \u0111\u00fang ?<\/p>\n

a) Hai \u0111\u01b0\u1eddng th\u1eb3ng ph\u00e2n bi\u1ec7t c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t m\u1eb7t ph\u1eb3ng th\u00ec ch\u00fang song song ;<\/p>\n

b) Hai m\u1eb7t ph\u1eb3ng ph\u00e2n bi\u1ec7t c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng th\u00ec ch\u00fang song song ;<\/p>\n

c) M\u1eb7t ph\u1eb3ng (\u03b1) vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng b v\u00e0 b vu\u00f4ng g\u00f3c v\u1edbi th\u1eb3ng a, th\u00ec a song song v\u1edbi (\u03b1).<\/p>\n

d) Hai m\u1eb7t ph\u1eb3ng ph\u00e2n bi\u1ec7t c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t m\u1eb7t ph\u1eb3ng th\u00ec ch\u00fang song song.<\/p>\n

e) Hai \u0111\u01b0\u1eddng th\u1eb3ng c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng th\u00ec ch\u00fang song song.<\/p>\n

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

a) \u0110\u00fang<\/p>\n

b) \u0110\u00fang<\/p>\n

B\u00e0i 2 (trang 121 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Trong c\u00e1c \u0111i\u1ec1u kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00e2y, \u0111i\u1ec1u n\u00e0o \u0111\u00fang?<\/p>\n

a) Kho\u1ea3ng c\u00e1ch c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng ch\u00e9o nhau l\u00e0 \u0111o\u1ea1n ng\u1eafn nh\u1ea5t trong c\u00e1c \u0111o\u1ea1n th\u1eb3ng n\u1ed1i hai \u0111i\u1ec3m b\u1ea5t k\u00ec n\u1eb1m tr\u00ean hai \u0111\u01b0\u1eddng th\u1eb3ng \u1ea5y v\u00e0 ng\u01b0\u1ee3c l\u1ea1i.<\/p>\n

b) Qua m\u1ed9t \u0111i\u1ec3m c\u00f3 duy nh\u1ea5t m\u1ed9t m\u1eb7t ph\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t m\u1eb7t ph\u1eb3ng cho tr\u01b0\u1edbc.<\/p>\n

c) Qua m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u00f3 duy nh\u1ea5t m\u1ed9t m\u1eb7t ph\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t m\u1eb7t ph\u1eb3ng kh\u00e1c cho tr\u01b0\u1edbc.<\/p>\n

d) \u0110\u01b0\u1eddng th\u1eb3ng n\u00e0o vu\u00f4ng g\u00f3c v\u1edbi c\u1ea3 hai \u0111\u01b0\u1eddng th\u1eb3ng ch\u00e9o nhau cho tr\u01b0\u1edbc l\u00e0 \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c chung c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3.<\/p>\n

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

C\u00e2u a) \u0111\u00fang. Kho\u1ea3ng c\u00e1ch c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng ch\u00e9o nhau l\u00e0 \u0111o\u1ea1n ng\u1eafn nh\u1ea5t trong c\u00e1c \u0111o\u1ea1n th\u1eb3ng n\u1ed1i hai \u0111i\u1ec3m b\u1ea5t k\u00ec n\u1eb1m tr\u00ean hai \u0111\u01b0\u1eddng th\u1eb3ng \u1ea5y v\u00e0 ng\u01b0\u1ee3c l\u1ea1i (xem m\u1ee5c c). T\u00ednh ch\u1ea5t c\u1ee7a kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng ch\u00e9o nhau (B\u00e0i 5 \u2013 ch\u01b0\u01a1ng III).<\/p>\n

C\u00e2u b) sai. Qua m\u1ed9t \u0111i\u1ec3m c\u00f3 duy nh\u1ea5t m\u1ed9t m\u1eb7t ph\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t m\u1eb7t ph\u1eb3ng cho tr\u01b0\u1edbc.<\/p>\n

C\u00e2u c) sai. V\u00ec trong tr\u01b0\u1eddng h\u1ee3p \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng th\u00ec ta c\u00f3 v\u00f4 s\u1ed1 m\u1eb7t ph\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng cho tr\u01b0\u1edbc v\u00ec b\u1ea5t k\u00ec m\u1eb7t ph\u1eb3ng n\u00e0o ch\u1ee9a \u0111\u01b0\u1eddng th\u1eb3ng c\u0169ng \u0111\u1ec1u vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng cho tr\u01b0\u1edbc. \u0110\u1ec3 c\u00f3 kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang ta ph\u1ea3i n\u00f3i: Qua m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng kh\u00f4ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t m\u1eb7t ph\u1eb3ng c\u00f3 duy nh\u1ea5t m\u1ed9t m\u1eb7t ph\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng \u0111\u00e3 cho.<\/p>\n

C\u00e2u d) sai. V\u00ec \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c chung c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng ph\u1ea3i c\u1eaft c\u1ea3 hai \u0111\u01b0\u1eddng \u1ea5y.<\/p>\n

B\u00e0i 3 (trang 121 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0H\u00ecnh ch\u00f3p S.ABCD c\u00f3 \u0111\u00e1y ABCD l\u00e0 h\u00ecnh vu\u00f4ng c\u1ea1nh a, c\u1ea1nh SA = a v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng (ABCD).<\/p>\n

a) Ch\u1ee9ng minh r\u1eb1ng c\u00e1c m\u1eb7t b\u00ean c\u1ee7a h\u00ecnh ch\u00f3p l\u00e0 nh\u1eefng tam gi\u00e1c vu\u00f4ng.<\/p>\n

b) M\u1eb7t ph\u1eb3ng (\u03b1) \u0111i qua A v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh SC l\u1ea7n l\u01b0\u1ee3t c\u1eaft SB, AC, SD t\u1ea1i B‘<\/sup>, C‘<\/sup>, D‘<\/sup>. Ch\u1ee9ng minh B‘<\/sup>D‘<\/sup>song song v\u1edbi BD v\u00e0 AB‘<\/sup>\u00a0vu\u00f4ng g\u00f3c v\u1edbi SB.<\/p>\n

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

\"\"<\/p>\n

\"\"<\/p>\n

B\u00e0i 4 (trang 121 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0H\u00ecnh ch\u00f3p S.ABCD c\u00f3 \u0111\u00e1y ABCD l\u00e0 h\u00ecnh thoi c\u1ea1nh a v\u00e0 c\u00f3 g\u00f3c BAD = 60o<\/sup>. G\u1ecdi O l\u00e0 giao \u0111i\u1ec3m c\u1ee7a AC v\u00e0 BD. \u0110\u01b0\u1eddng th\u1eb3ng SO vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng (ABCD) v\u00e0 SO = 3a\/4 . G\u1ecdi E l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n BC v\u00e0 F l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n BE.<\/p>\n

\n

a) Ch\u1ee9ng minh m\u1eb7t ph\u1eb3ng (SOF) vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng (SBC).<\/p>\n

b) T\u00ednh c\u00e1c kho\u1ea3ng c\u00e1ch t\u1eeb O v\u00e0 A \u0111\u1ebfn m\u1eb7t ph\u1eb3ng (SBC).<\/p>\n

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

\"\"<\/p>\n

\"\"<\/p>\n

B\u00e0i 5 (trang 121 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Cho t\u1ee9 di\u1ec7n ABCD c\u00f3 hai m\u1eb7t ABC v\u00e0 ADC n\u1eb1m trong hai m\u1eb7t ph\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi nhau. Tam gi\u00e1c ABC vu\u00f4ng t\u1ea1i A c\u00f3 A vu\u00f4ng t\u1ea1i D c\u00f3 CD = a.<\/p>\n

a) Ch\u1ee9ng minh c\u00e1c tam gi\u00e1c BAD v\u00e0 BDC l\u00e0 c\u00e1c tam gi\u00e1c vu\u00f4ng.<\/p>\n

b) G\u1ecdi I v\u00e0 K l\u1ea7n l\u01b0\u1ee3t l\u00e0 trung \u0111i\u1ec3m c\u1ee7a Ad v\u00e0 BC. Ch\u1ee9ng minh IK l\u00e0 \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c chung c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng AD v\u00e0 BC.<\/p>\n

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

\"\"<\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

B\u00e0i 6 (trang 121 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Cho kh\u1ed1i l\u1eadp ph\u01b0\u01a1ng ABCD.A’B’C’D’ c\u1ea1nh a.<\/p>\n

a) Ch\u1ee9ng minh BC’ vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng (A’B’CD)<\/p>\n

b) X\u00e1c \u0111\u1ecbnh v\u00e0 t\u00ednh \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n vu\u00f4ng g\u00f3c chung c\u1ee7a AB’ v\u00e0 BC’.<\/p>\n

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

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

B\u00e0i 7 (trang 121 SGK H\u00ecnh h\u1ecdc 11):<\/b>\u00a0Cho h\u00ecnh ch\u00f3p S.ABCD c\u00f3 \u0111\u00e1y l\u00e0 h\u00ecnh thoi ABCD c\u1ea1nh a, c\u00f3 g\u00f3c …<\/p>\n

\"\"<\/p>\n

a) T\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb S \u0111\u1ebfn m\u1eb7t ph\u1eb3ng (ABCD) v\u00e0 \u0111\u1ed9 d\u00e0i c\u1ea1nh SC.<\/p>\n

b) Ch\u1ee9ng minh m\u1eb7t ph\u1eb3ng (SAC) vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng (ABCD).<\/p>\n

c) Ch\u1ee9ng minh SB vu\u00f4ng g\u00f3c v\u1edbi SC.<\/p>\n

d) G\u1ecdi \u03c6 l\u00e0 g\u00f3c gi\u1eefa hai m\u1eb7t ph\u1eb3ng (SBD) v\u00e0 (ABCD). T\u00ednh tan\u03c6.<\/p>\n

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

\"\"<\/p>\n

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

B\u00e0i 1 (trang 121 SGK H\u00ecnh h\u1ecdc 11):\u00a0Trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y, m\u1ec7nh \u0111\u1ec1 n\u00e0o l\u00e0 \u0111\u00fang ? a) Hai \u0111\u01b0\u1eddng th\u1eb3ng ph\u00e2n bi\u1ec7t c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t m\u1eb7t ph\u1eb3ng th\u00ec ch\u00fang song song ; b) Hai m\u1eb7t ph\u1eb3ng ph\u00e2n bi\u1ec7t c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng th\u00ec ch\u00fang song song ; […]<\/p>\n","protected":false},"author":3,"featured_media":29377,"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 - B\u00e0i t\u1eadp \u00f4n t\u1eadp ch\u01b0\u01a1ng 3<\/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-tap-on-tap-chuong-3\/\" \/>\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 - B\u00e0i t\u1eadp \u00f4n t\u1eadp ch\u01b0\u01a1ng 3\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 1 (trang 121 SGK H\u00ecnh h\u1ecdc 11):\u00a0Trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y, m\u1ec7nh \u0111\u1ec1 n\u00e0o l\u00e0 \u0111\u00fang ? a) Hai \u0111\u01b0\u1eddng th\u1eb3ng ph\u00e2n bi\u1ec7t c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t m\u1eb7t ph\u1eb3ng th\u00ec ch\u00fang song song ; b) Hai m\u1eb7t ph\u1eb3ng ph\u00e2n bi\u1ec7t c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng th\u00ec ch\u00fang song song ; […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-tap-on-tap-chuong-3\/\" \/>\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=\"2018-05-03T16:19:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/05\/bai-3-trang-121-sgk-hinh-hoc-11.png\" \/>\n\t<meta property=\"og:image:width\" content=\"214\" \/>\n\t<meta property=\"og:image:height\" content=\"232\" \/>\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=\"6 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-tap-on-tap-chuong-3\/\",\"url\":\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-tap-on-tap-chuong-3\/\",\"name\":\"H\u00ecnh H\u1ecdc - B\u00e0i t\u1eadp \u00f4n t\u1eadp ch\u01b0\u01a1ng 3\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-05-03T16:19:06+00:00\",\"dateModified\":\"2018-05-03T16:19:06+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-tap-on-tap-chuong-3\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-tap-on-tap-chuong-3\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-bai-tap-on-tap-chuong-3\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lop12.edu.vn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"H\u00ecnh H\u1ecdc – B\u00e0i t\u1eadp \u00f4n t\u1eadp ch\u01b0\u01a1ng 3\"}]},{\"@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 - B\u00e0i t\u1eadp \u00f4n t\u1eadp ch\u01b0\u01a1ng 3","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-tap-on-tap-chuong-3\/","og_locale":"en_US","og_type":"article","og_title":"H\u00ecnh H\u1ecdc - B\u00e0i t\u1eadp \u00f4n t\u1eadp ch\u01b0\u01a1ng 3","og_description":"B\u00e0i 1 (trang 121 SGK H\u00ecnh h\u1ecdc 11):\u00a0Trong c\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00e2y, m\u1ec7nh \u0111\u1ec1 n\u00e0o l\u00e0 \u0111\u00fang ? 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