H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 - C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra<\/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-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/\" \/>\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 1 - \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 - C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 1 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao): Kh\u1ed1i l\u0103ng tr\u1ee5 n \u2013 gi\u00e1c c\u00f3 bao nhi\u00eau \u0111\u1ec9nh, bao nhi\u00eau c\u1ea1nh v\u00e0 bao nhi\u00eau m\u1eb7t? 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L\u1eddi gi\u1ea3i: – Kh\u1ed1i l\u0103ng tr\u1ee5 n \u2013 gi\u00e1c c\u00f3 2n \u0111\u1ec9nh, […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/\" \/>\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=\"2018-03-19T04:33:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/bai-3-trang-31-sgk-hinh-hoc-12-nang-cao.png\" \/>\n\t<meta property=\"og:image:width\" content=\"67\" \/>\n\t<meta property=\"og:image:height\" content=\"42\" \/>\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=\"4 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-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/\",\"url\":\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/\",\"name\":\"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 - C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-03-19T04:33:49+00:00\",\"dateModified\":\"2018-03-19T04:33:49+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/#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 1 – \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 – C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra\"}]},{\"@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 1 - \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 - C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra","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-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/","og_locale":"en_US","og_type":"article","og_title":"H\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 - C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra","og_description":"B\u00e0i 1 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao): Kh\u1ed1i l\u0103ng tr\u1ee5 n \u2013 gi\u00e1c c\u00f3 bao nhi\u00eau \u0111\u1ec9nh, bao nhi\u00eau c\u1ea1nh v\u00e0 bao nhi\u00eau m\u1eb7t? 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{"id":22344,"date":"2018-03-19T11:33:49","date_gmt":"2018-03-19T04:33:49","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=22344"},"modified":"2018-03-19T11:33:49","modified_gmt":"2018-03-19T04:33:49","slug":"hinh-hoc-chuong-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/hinh-hoc-chuong-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/","title":{"rendered":"H\u00ecnh h\u1ecdc – Ch\u01b0\u01a1ng 1 – \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 – C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra"},"content":{"rendered":"

B\u00e0i 1 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao):<\/b><\/p>\n

Kh\u1ed1i l\u0103ng tr\u1ee5 n \u2013 gi\u00e1c c\u00f3 bao nhi\u00eau \u0111\u1ec9nh, bao nhi\u00eau c\u1ea1nh v\u00e0 bao nhi\u00eau m\u1eb7t? Kh\u1ed1i ch\u00f3p n \u2013 gi\u00e1c c\u00f3 bao nhi\u00eau \u0111\u1ec9nh, bao nhi\u00eau c\u1ea1nh v\u00e0 bao nh\u00eau m\u1eb7t?<\/p>\n

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

– Kh\u1ed1i l\u0103ng tr\u1ee5 n \u2013 gi\u00e1c c\u00f3 2n \u0111\u1ec9nh, 3n c\u1ea1nh v\u00e0 n + 2 m\u1eb7t.<\/p>\n

– Kh\u1ed1i ch\u00f3p n \u2013 gi\u00e1c c\u00f3 n + 1 \u0111\u1ec9nh, 2n c\u1ea1nh v\u00e0 n + 1 m\u1eb7t.<\/p>\n

B\u00e0i 2 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao):<\/b><\/p>\n

Nh\u1eefng kh\u1ed1i \u0111a di\u1ec7n \u0111\u1ec1u n\u00e0o c\u00f3 m\u1eb7t l\u00e0 tam gi\u00e1c \u0111\u1ec1u? M\u1ed7i \u0111\u1ec9nh c\u1ee7a n\u00f3 l\u00e0 \u0111\u1ec9nh chung c\u1ee7a bao nhi\u00eau m\u1eb7t?<\/p>\n

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

C\u00e1c kh\u1ed1i \u0111a di\u1ec7n nhi\u1ec1u lo\u1ea1i{3; p} c\u00f3 m\u1ed7i m\u1eb7t tam gi\u00e1c \u0111\u1ec1u (trong \u0111\u00f3 p =3, p =4 ho\u1eb7c p =5).<\/p>\n

– Kh\u1ed1i \u0111a di\u1ec7n \u0111\u1ec1u lo\u1ea1i {3; 3} l\u00e0 t\u1ee9 di\u1ec7n \u0111\u1ec1u, m\u1ed7i \u0111\u1ec9nh l\u00e0 \u0111\u1ec9nh chung c\u1ee7a 3 c\u1ea1nh.<\/p>\n

– Kh\u1ed1i \u0111a di\u1ec7n \u0111\u1ec1u lo\u1ea1i {3, 4} l\u00e0 kh\u1ed1i 8 m\u1eb7t \u0111\u1ec1u, m\u1ed7i \u0111\u1ec9nh l\u00e0 \u0111\u1ec9nh chung c\u1ee7a 4 c\u1ea1nh.<\/p>\n

– Kh\u1ed1i \u0111a di\u1ec7n \u0111\u1ec1u lo\u1ea1i {3, 5} l\u00e0 kh\u1ed1i 20 m\u1eb7t \u0111\u1ec1u, m\u1ed7i \u0111\u1ec9nh l\u00e0 \u0111\u1ec9nh chung c\u1ee7a 5 c\u1ea1nh.<\/p>\n

B\u00e0i 3 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao):<\/b><\/p>\n

N\u1ebfu bi\u1ebft th\u1ec3 t\u00edch c\u1ee7a m\u1ed9t kh\u1ed1i ch\u00f3p v\u00e0 di\u1ec7n t\u00edch \u0111\u00e1y c\u1ee7a n\u00f3 th\u00ec c\u00f3 th\u1ec3 bi\u1ebft \u0111\u01b0\u1ee3c chi\u1ec1u cao c\u1ee7a kh\u1ed1i ch\u00f3p \u0111\u00f3 hay kh\u00f4ng.<\/p>\n

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

N\u1ebfu m\u1ed9t kh\u1ed1i ch\u00f3p c\u00f3 th\u1ec3 t\u00edch l\u00e0 V v\u00e0 di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y c\u1ee7a n\u00f3 l\u00e0 S th\u00ec chi\u1ec1u cao c\u1ee7a n\u00f3 \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c<\/p>\n

$\"Gi\u1ea3i$ <\/p>\n

B\u00e0i 4 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao):<\/b><\/p>\n

N\u1ebfu m\u1ed7i k\u00edch th\u01b0\u1edbc h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c t\u0103ng l\u00ean k l\u1ea7n th\u00ec th\u1ec3 t\u00edch c\u1ee7a kh\u1ed1i ch\u00f3p \u0111\u00f3 hay kh\u00f4ng?<\/p>\n

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

N\u00eau m\u1ed7i k\u00edch th\u01b0\u1edbc c\u1ee7a 1 h\u00ecnh h\u1ed9p ch\u1eef nh\u1ea1t \u0111\u01b0\u1ee3c t\u0103ng l\u00ean k l\u1ea7n th\u00ec th\u1ec3 t\u00edch kh\u1ed1i h\u1ed9p \u0111\u00f3 \u0111\u01b0\u1ee3c t\u0103ng l\u00ean k^{3<\/sup>\u00a0l\u1ea7n.<\/p>\n}

B\u00e0i 5 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao):<\/b><\/p>\n

H\u00ecnh t\u1ee9 di\u1ec7n \u0111\u1ec1u, h\u00ecnh l\u1eadp ph\u01b0\u01a1ng, h\u00ecnh b\u00e1t di\u1ec7n \u0111\u1ec1u c\u00f3 nh\u1eefng m\u1eb7t ph\u1eb3ng \u0111\u1ed1i x\u1ee9ng n\u00e0o?<\/p>\n

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

– H\u00ecnh t\u1ee9 di\u1ec7n \u0111\u1ec1u c\u00f3 6 m\u1eb7t ph\u1eb3ng \u0111\u1ed1i x\u1ee9ng. \u0111\u00f3 l\u00e0 c\u00e1c m\u1eb7t ph\u1eb3ng \u0111i qua m\u1ed9t c\u1ea1nh v\u00e0 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh \u0111\u1ed1i di\u1ec7n.<\/p>\n

– H\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 9 m\u1eb7t ph\u1eb3ng \u0111\u1ed1i x\u1ee9ng, g\u1ed3m 3 m\u1eb7t ph\u1eb3ng trung tr\u1ef1c c\u1ee7a 3 c\u1ea1nh c\u00f9ng xu\u1ea5t ph\u00e1t t\u1ea1i m\u1ed9t \u0111\u1ec9nh; c\u00e1c m\u1eb7t ph\u1eb3ng x\u00e1c \u0111\u1ecbnh b\u1edfi m\u1ed9t c\u1eb7p c\u1ea1nh \u0111\u1ed1i di\u1ec7n c\u1ee7a h\u00ecnh l\u1eadp ph\u01b0\u01a1ng.<\/p>\n

– H\u00ecnh b\u00e1t di\u1ec7n \u0111\u1ec1u ABC.DEF c\u00f3 9 m\u1eb7t ph\u1eb3ng \u0111\u1ed1i x\u1ee9ng g\u1ed3m: (ABCD), (BEDF), (AECF), m\u1eb7t ph\u1eb3ng ph\u1eb3ng trung tr\u1ef1c c\u1ee7a c\u00e1c c\u1ea1nh AB, AD, AF, BE, BF.<\/p>\n

B\u00e0i 6 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao):<\/b><\/p>\n

N\u1ebfu t\u1ec9 s\u1ed1 c\u00e1c c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng c\u1ee7a hai t\u1ee9 di\u1ec7n \u0111\u1ed3ng d\u1ea1ng b\u1eb1ng k th\u00ec t\u1ec9 s\u1ed1 th\u1ec3 t\u00edch c\u1ee7a hai kh\u1ed1i t\u1ee9 di\u1ec7n \u1ea5y b\u1eb1ng bao nhi\u00eau?<\/p>\n

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

N\u00eau t\u1ec9 s\u1ed1 c\u00e1c c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng c\u1ee7a hai t\u1ee9 di\u1ec7n \u0111\u1ed3ng d\u1ea1ng k th\u00ec t\u1ec9 s\u1ed1 th\u1ec3 t\u00edch c\u1ee7a hai kh\u1ed1i t\u1ee9 di\u1ec7n \u1ea5y b\u1eb1ng k^{3<\/sup>.<\/p>\n","protected":false},"excerpt":{"rendered":"}

B\u00e0i 1 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao): Kh\u1ed1i l\u0103ng tr\u1ee5 n \u2013 gi\u00e1c c\u00f3 bao nhi\u00eau \u0111\u1ec9nh, bao nhi\u00eau c\u1ea1nh v\u00e0 bao nhi\u00eau m\u1eb7t? Kh\u1ed1i ch\u00f3p n \u2013 gi\u00e1c c\u00f3 bao nhi\u00eau \u0111\u1ec9nh, bao nhi\u00eau c\u1ea1nh v\u00e0 bao nh\u00eau m\u1eb7t? L\u1eddi gi\u1ea3i: – Kh\u1ed1i l\u0103ng tr\u1ee5 n \u2013 gi\u00e1c c\u00f3 2n \u0111\u1ec9nh, […]<\/p>\n","protected":false},"author":3,"featured_media":22345,"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":"\nH\u00ecnh h\u1ecdc - Ch\u01b0\u01a1ng 1 - \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 - C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra<\/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-1-on-tap-chuong-1-cau-hoi-tu-kiem-tra\/\" \/>\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 1 - \u00d4n t\u1eadp ch\u01b0\u01a1ng 1 - C\u00e2u h\u1ecfi t\u1ef1 ki\u1ec3m tra\" \/>\n<meta property=\"og:description\" content=\"B\u00e0i 1 (trang 30 sgk H\u00ecnh H\u1ecdc 12 n\u00e2ng cao): Kh\u1ed1i l\u0103ng tr\u1ee5 n \u2013 gi\u00e1c c\u00f3 bao nhi\u00eau \u0111\u1ec9nh, bao nhi\u00eau c\u1ea1nh v\u00e0 bao nhi\u00eau m\u1eb7t? Kh\u1ed1i ch\u00f3p n \u2013 gi\u00e1c c\u00f3 bao nhi\u00eau \u0111\u1ec9nh, bao nhi\u00eau c\u1ea1nh v\u00e0 bao nh\u00eau m\u1eb7t? 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