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{"id":44372,"date":"2019-10-16T22:24:34","date_gmt":"2019-10-16T15:24:34","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=44372"},"modified":"2019-10-16T22:24:37","modified_gmt":"2019-10-16T15:24:37","slug":"giai-toan-10-chuong-1-vecto-bai-1-cac-dinh-nghia","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/giai-toan-10-chuong-1-vecto-bai-1-cac-dinh-nghia\/","title":{"rendered":"[Gi\u1ea3i To\u00e1n 10] Ch\u01b0\u01a1ng 1: Vect\u01a1\/ B\u00e0i 1: C\u00e1c \u0111\u1ecbnh ngh\u0129a"},"content":{"rendered":"\n

Tr\u1ea3 l\u1eddi c\u00e2u h\u1ecfi To\u00e1n 10 H\u00ecnh h\u1ecdc B\u00e0i 1 trang 4<\/strong>: V\u1edbi hai \u0111i\u1ec3m A, B ph\u00e2n bi\u1ec7t ta c\u00f3 \u0111\u01b0\u1ee3c bao nhi\u00eau vect\u01a1 c\u00f3 \u0111i\u1ec3m \u0111\u1ea7u v\u00e0 \u0111i\u1ec3m cu\u1ed1i l\u00e0 A ho\u1eb7c B.<\/ins><\/p>\n\n\n\n

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

V\u1edbi hai \u0111i\u1ec3m A, B ph\u00e2n bi\u1ec7t ta c\u00f3 \u0111\u01b0\u1ee3c 2 vect\u01a1 c\u00f3 \u0111i\u1ec3m \u0111\u1ea7u v\u00e0 \u0111i\u1ec3m cu\u1ed1i l\u00e0 A ho\u1eb7c B<\/p>\n\n\n\n

Tr\u1ea3 l\u1eddi c\u00e2u h\u1ecfi To\u00e1n 10 H\u00ecnh h\u1ecdc B\u00e0i 1 trang 5<\/strong>: H\u00e3y nh\u1eadn x\u00e9t v\u1ec1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a c\u00e1c gi\u00e1 c\u1ee7a c\u00e1c c\u1eb7p vect\u01a1 sau: <\/ins><\/p>\n\n\n\n

\"Gi\u1ea3i<\/figure>\n\n\n\n
\"Gi\u1ea3i<\/figure>\n\n\n\n

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

\"Gi\u1ea3i<\/figure>\n\n\n\n

Tr\u1ea3 l\u1eddi c\u00e2u h\u1ecfi To\u00e1n 10 H\u00ecnh h\u1ecdc B\u00e0i 1 trang 6<\/strong>: Kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00fang hay sai:<\/ins><\/p>\n\n\n\n

N\u1ebfu ba \u0111i\u1ec3m ph\u00e2n bi\u1ec7t A, B, C th\u1eb3ng h\u00e0ng th\u00ec hai vect\u01a1 (AB\u2192<\/em> v\u00e0 BC\u2192<\/em> c\u00f9ng h\u01b0\u1edbng.<\/p>\n\n\n\n

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

Kh\u1eb3ng \u0111\u1ecbnh tr\u00ean sai, ch\u00fang ch\u1ec9 c\u00f9ng ph\u01b0\u01a1ng, kh\u00f4ng c\u00f9ng h\u01b0\u1edbng. <\/p>\n\n\n\n

Tr\u1ea3 l\u1eddi c\u00e2u h\u1ecfi To\u00e1n 10 H\u00ecnh h\u1ecdc B\u00e0i 1 trang 6<\/strong>: G\u1ecdi O l\u00e0 t\u00e2m h\u00ecnh l\u1ee5c gi\u00e1c \u0111\u1ec1u ABCDEF. H\u00e3y ch\u1ec9 ra c\u00e1c vect\u01a1 b\u1eb1ng vect\u01a1 OA\u2192<\/em><\/p>\n\n\n\n

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

\"Gi\u1ea3i<\/figure>\n\n\n\n

Vect\u01a1 b\u1eb1ng vect\u01a1 OA\u2192<\/em> l\u00e0 vect\u01a1 DO\u2192<\/em><\/p>\n\n\n\n

B\u00e0i 1 (trang 7 SGK H\u00ecnh h\u1ecdc 10):<\/strong> Cho ba vect\u01a1 a\u2192, b\u2192, c\u2192 \u0111\u1ec1u kh\u00e1c vect\u01a1 . C\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau \u0111\u00fang hay sai?<\/ins><\/p>\n\n\n\n

a) N\u1ebfu hai vec t\u01a1 a\u2192, b\u2192 c\u00f9ng ph\u01b0\u01a1ng v\u1edbi c\u2192 th\u00ec a\u2192 v\u00e0 b\u2192 c\u00f9ng ph\u01b0\u01a1ng. <\/p>\n\n\n\n

b) N\u1ebfu a\u2192, b\u2192 c\u00f9ng ng\u01b0\u1ee3c h\u01b0\u1edbng v\u1edbi c\u2192 th\u00ec a\u2192 v\u00e0 b\u2192 c\u00f9ng h\u01b0\u1edbng. <\/p>\n\n\n\n

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

a) G\u1ecdi \u03941, \u03942, \u03943 l\u1ea7n l\u01b0\u1ee3t l\u00e0 gi\u00e1 c\u1ee7a ba vect\u01a1 a\u2192, b\u2192, c\u2192<\/p>\n\n\n\n

+ Vect\u01a1 a c\u00f9ng ph\u01b0\u01a1ng v\u1edbi vect\u01a1 c \u21d2 \u03941 \/\/\u2261 \u03943<\/p>\n\n\n\n

+ Vect\u01a1 b c\u00f9ng ph\u01b0\u01a1ng v\u1edbi vect\u01a1 c \u21d2 \u03942 \/\/\u2261 \u03943<\/p>\n\n\n\n

\u21d2 \u03941 \/\/\u2261 \u03942 <\/ins><\/p>\n\n\n\n

\u21d2 Vect\u01a1 a\u2192 c\u00f9ng ph\u01b0\u01a1ng v\u1edbi b\u2192 (theo \u0111\u1ecbnh ngh\u0129a).<\/p>\n\n\n\n

b) a\u2192, b\u2192 c\u00f9ng ng\u01b0\u1ee3c h\u01b0\u1edbng v\u1edbi c\u2192<\/p>\n\n\n\n

\u21d2 a\u2192, b\u2192 \u0111\u1ec1u c\u00f9ng ph\u01b0\u01a1ng v\u1edbi c\u2192<\/p>\n\n\n\n

\u21d2 a\u2192 v\u00e0 b\u2192 c\u00f9ng ph\u01b0\u01a1ng. <\/p>\n\n\n\n

\u21d2 a\u2192 v\u00e0 b\u2192 ch\u1ec9 c\u00f3 th\u1ec3 c\u00f9ng h\u01b0\u1edbng ho\u1eb7c ng\u01b0\u1ee3c h\u01b0\u1edbng. <\/p>\n\n\n\n

M\u00e0 a\u2192 v\u00e0 b\u2192 \u0111\u1ec1u ng\u01b0\u1ee3c h\u01b0\u1edbng v\u1edbi c\u2192 n\u00ean a\u2192 v\u00e0 b\u2192 c\u00f9ng h\u01b0\u1edbng. <\/p>\n\n\n\n

Ki\u1ebfn th\u1ee9c \u00e1p d\u1ee5ng<\/strong><\/p>\n\n\n\n

Hai vec t\u01a1 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u00f9ng ph\u01b0\u01a1ng n\u1ebfu gi\u00e1 c\u1ee7a ch\u00fang song song ho\u1eb7c tr\u00f9ng nhau. <\/p>\n\n\n\n

Hai vec t\u01a1 c\u00f9ng ph\u01b0\u01a1ng th\u00ec ch\u1ec9 c\u00f3 th\u1ec3 c\u00f9ng h\u01b0\u1edbng ho\u1eb7c ng\u01b0\u1ee3c h\u01b0\u1edbng. <\/p>\n\n\n\n

B\u00e0i 2 (trang 7 SGK H\u00ecnh h\u1ecdc 10):<\/strong> Trong h\u00ecnh 1.4, h\u00e3y ch\u1ec9 ra c\u00e1c vect\u01a1 c\u00f9ng ph\u01b0\u01a1ng, c\u00f9ng h\u01b0\u1edbng, ng\u01b0\u1ee3c h\u01b0\u1edbng v\u00e0 c\u00e1c vect\u01a1 b\u1eb1ng nhau. <\/p>\n\n\n\n

\"Gi\u1ea3i<\/figure>\n\n\n\n

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

\u2013 C\u00e1c vect\u01a1 c\u00f9ng ph\u01b0\u01a1ng:\n<\/p>\n\n\n\n

     a\u2192 v\u00e0 b\u2192 c\u00f9ng ph\u01b0\u01a1ng \n<\/p>\n\n\n\n

     u\u2192 v\u00e0 v\u2192 c\u00f9ng ph\u01b0\u01a1ng \n<\/p>\n\n\n\n

     x\u2192, y\u2192, w\u2192 v\u00e0 z\u2192 c\u00f9ng ph\u01b0\u01a1ng. \n<\/p>\n\n\n\n

\u2013 C\u00e1c vect\u01a1 c\u00f9ng h\u01b0\u1edbng:\n<\/p>\n\n\n\n

     a\u2192 v\u00e0 b\u2192 c\u00f9ng h\u01b0\u1edbng \n<\/p>\n\n\n\n

     x\u2192, y\u2192 v\u00e0 z\u2192 c\u00f9ng h\u01b0\u1edbng \n<\/p>\n\n\n\n

\u2013 C\u00e1c vect\u01a1 ng\u01b0\u1ee3c h\u01b0\u1edbng:\n<\/p>\n\n\n\n

     u\u2192 v\u00e0 v\u2192 ng\u01b0\u1ee3c h\u01b0\u1edbng \n<\/p>\n\n\n\n

     w\u2192 ng\u01b0\u1ee3c h\u01b0\u1edbng v\u1edbi c\u00e1c vec t\u01a1 x\u2192, y\u2192 v\u00e0 z\u2192 \n<\/p>\n\n\n\n

\u2013 C\u00e1c vect\u01a1 b\u1eb1ng nhau: x\u2192 = y\u2192\n<\/p>\n\n\n\n

Ki\u1ebfn th\u1ee9c \u00e1p d\u1ee5ng<\/strong><\/p>\n\n\n\n

+ Hai vec t\u01a1 c\u00f9ng ph\u01b0\u01a1ng l\u00e0 hai vec t\u01a1 c\u00f3 gi\u00e1 song song <\/p>\n\n\n\n

+ Hai vec t\u01a1 c\u00f9ng ph\u01b0\u01a1ng s\u1ebd c\u00f9ng h\u01b0\u1edbng ho\u1eb7c ng\u01b0\u1ee3c h\u01b0\u1edbng. <\/p>\n\n\n\n

+ Hai vec t\u01a1 b\u1eb1ng nhau l\u00e0 hai vec t\u01a1 c\u00f9ng h\u01b0\u1edbng v\u00e0 c\u00f3 \u0111\u1ed9 d\u00e0i b\u1eb1ng nhau. <\/p>\n\n\n\n

\"Gi\u1ea3i<\/figure>\n\n\n\n

B\u00e0i 3 (trang 7 SGK H\u00ecnh h\u1ecdc 10):<\/strong> Cho t\u1ee9 gi\u00e1c ABCD. Ch\u1ee9ng minh r\u1eb1ng t\u1ee9 gi\u00e1c \u0111\u00f3 l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh khi v\u00e0 ch\u1ec9 khi \n<\/p>\n\n\n\n

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

\"Gi\u1ea3i<\/figure>\n\n\n\n
\"Gi\u1ea3i<\/figure>\n\n\n\n

Ki\u1ebfn th\u1ee9c \u00e1p d\u1ee5ng<\/strong><\/p>\n\n\n\n

Hai vec t\u01a1 b\u1eb1ng nhau n\u1ebfu ch\u00fang c\u00f9ng h\u01b0\u1edbng v\u00e0 c\u00f3 \u0111\u1ed9 d\u00e0i b\u1eb1ng nhau. <\/p>\n\n\n\n

B\u00e0i 4 (trang 7 SGK H\u00ecnh h\u1ecdc 10):<\/strong> Cho l\u1ee5c gi\u00e1c \u0111\u1ec1u ABCDEF c\u00f3 t\u00e2m O.<\/p>\n\n\n\n

a) T\u00ecm c\u00e1c vect\u01a1 kh\u00e1c vect\u01a1 O<\/em>\u2192 v\u00e0 c\u00f9ng ph\u01b0\u01a1ng v\u1edbi vect\u01a1 OA<\/em>\u2192.<\/p>\n\n\n\n

b) T\u00ecm c\u00e1c vect\u01a1 b\u1eb1ng vect\u01a1 AB<\/em>\u2192.<\/p>\n\n\n\n

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

\"Gi\u1ea3i<\/figure>\n\n\n\n

a) C\u00e1c vect\u01a1 kh\u00e1c vect\u01a1 O<\/em>\u2192 v\u00e0 c\u00f9ng ph\u01b0\u01a1ng v\u1edbi vect\u01a1 OA<\/em>\u2192 l\u00e0:<\/p>\n\n\n\n

\"Gi\u1ea3i<\/figure>\n\n\n\n

b) C\u00e1c vect\u01a1 b\u1eb1ng vect\u01a1 AB<\/em>\u2192 l\u00e0:<\/p>\n\n\n\n

\"Gi\u1ea3i<\/figure>\n\n\n\n

Ki\u1ebfn th\u1ee9c \u00e1p d\u1ee5ng<\/strong><\/p>\n\n\n\n

+ Hai vec t\u01a1 c\u00f9ng ph\u01b0\u01a1ng l\u00e0 hai vec t\u01a1 c\u00f3 gi\u00e1 song song v\u1edbi nhau ho\u1eb7c tr\u00f9ng nhau <\/p>\n\n\n\n

+ Hai vec t\u01a1 b\u1eb1ng nhau l\u00e0 hai vec t\u01a1 c\u00f3 c\u00f9ng h\u01b0\u1edbng v\u00e0 c\u00f3 \u0111\u1ed9 d\u00e0i b\u1eb1ng nhau. <\/p>\n","protected":false},"excerpt":{"rendered":"

Tr\u1ea3 l\u1eddi c\u00e2u h\u1ecfi To\u00e1n 10 H\u00ecnh h\u1ecdc B\u00e0i 1 trang 4: V\u1edbi hai \u0111i\u1ec3m A, B ph\u00e2n bi\u1ec7t ta c\u00f3 \u0111\u01b0\u1ee3c bao nhi\u00eau vect\u01a1 c\u00f3 \u0111i\u1ec3m \u0111\u1ea7u v\u00e0 \u0111i\u1ec3m cu\u1ed1i l\u00e0 A ho\u1eb7c B. L\u1eddi gi\u1ea3i V\u1edbi hai \u0111i\u1ec3m A, B ph\u00e2n bi\u1ec7t ta c\u00f3 \u0111\u01b0\u1ee3c 2 vect\u01a1 c\u00f3 \u0111i\u1ec3m \u0111\u1ea7u v\u00e0 \u0111i\u1ec3m cu\u1ed1i […]<\/p>\n","protected":false},"author":12,"featured_media":44373,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[1633],"tags":[],"yoast_head":"\n[Gi\u1ea3i To\u00e1n 10] Ch\u01b0\u01a1ng 1: Vect\u01a1\/ B\u00e0i 1: C\u00e1c \u0111\u1ecbnh ngh\u0129a<\/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\/giai-toan-10-chuong-1-vecto-bai-1-cac-dinh-nghia\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Gi\u1ea3i To\u00e1n 10] Ch\u01b0\u01a1ng 1: Vect\u01a1\/ B\u00e0i 1: C\u00e1c \u0111\u1ecbnh ngh\u0129a\" \/>\n<meta property=\"og:description\" content=\"Tr\u1ea3 l\u1eddi c\u00e2u h\u1ecfi To\u00e1n 10 H\u00ecnh h\u1ecdc B\u00e0i 1 trang 4: V\u1edbi hai \u0111i\u1ec3m A, B ph\u00e2n bi\u1ec7t ta c\u00f3 \u0111\u01b0\u1ee3c bao nhi\u00eau vect\u01a1 c\u00f3 \u0111i\u1ec3m \u0111\u1ea7u v\u00e0 \u0111i\u1ec3m cu\u1ed1i l\u00e0 A ho\u1eb7c B. 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