Tích của vectơ với một số

Home Lớp 10 Toán lớp 10 - Sách Kết nối tri thức Bài 9. Tích của vectơ với một sốBài tập nâng cao

{"common":{"save":0,"post_id":"6516","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7209","mon_id":"1158767","chapter_id":"1158915","post_id":"6516","question":"Cho hình bình hành ABCD th\u1ecfa mãn $4\\overrightarrow{AM}=\\overrightarrow{AB}+\\overrightarrow{AD}+\\overrightarrow{AC}$<\/span> . Khi \u0111ó \u0111i\u1ec3m M là<\/p>","options":["A.<\/strong> trung \u0111i\u1ec3m c\u1ee7a AC.","B.<\/strong> \u0111i\u1ec3m C.","C.<\/strong> trung \u0111i\u1ec3m c\u1ee7a AB.","D.<\/strong> trung \u0111i\u1ec3m c\u1ee7a AD."],"correct":"1","level":"3","hint":"","answer":"Theo quy t\u1eafc hình bình hành, ta có <\/p>$4\\overrightarrow{AM}=\\overrightarrow{AB}+\\overrightarrow{AD}+\\overrightarrow{AC}$<\/span><\/p>⇔ $4\\overrightarrow{AM}=2.\\overrightarrow{AC}$<\/span><\/p>⇔ $\\overrightarrow{AM}=\\dfrac{1}{2}\\overrightarrow{AC}$<\/span><\/p>Suy ra M là trung \u0111i\u1ec3m c\u1ee7a AC.<\/p>\u0110áp án \u0111úng là     A.<\/strong> trung \u0111i\u1ec3m c\u1ee7a AC.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-06-21 09:05:08","option_type":"txt","len":2},{"id":"7210","mon_id":"1158767","chapter_id":"1158915","post_id":"6516","question":"Cho tam giác ABC có \u0111i\u1ec3m O th\u1ecfa mãn $\\bigg|\\overrightarrow{OA}+\\overrightarrow{OB}-2\\overrightarrow{OC}\\bigg|=\\bigg|\\overrightarrow{OA}-\\overrightarrow{OB}\\bigg|$<\/span> . Kh\u1eb3ng \u0111\u1ecbnh nào sau \u0111ây là \u0111úng<\/strong>?<\/p>","options":["A.<\/strong> Tam giác ABC \u0111\u1ec1u.","B.<\/strong> Tam giác ABC cân t\u1ea1i C.","C.<\/strong> Tam giác ABC vuông t\u1ea1i C.","D.<\/strong> Tam giác ABC cân t\u1ea1i B."],"correct":"3","level":"3","hint":"","answer":"<svg height=\"150\" width=\"230\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"232\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><image height=\"142\" id=\"svg_1\" width=\"227\" x=\"1.5\" xlink:href=\"data:image\/png;base64,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\" y=\"2\"><\/image> <\/g> <\/svg><\/span><\/p>G\u1ecdi I là trung \u0111i\u1ec3m c\u1ee7a AB. Ta có<\/p>$\\bigg|\\overrightarrow{OA}+\\overrightarrow{OB}-2\\overrightarrow{OC}\\bigg|=\\bigg|\\overrightarrow{OA}-\\overrightarrow{OB}\\bigg|$<\/span><\/p>⇔ $\\bigg|\\overrightarrow{OA}-\\overrightarrow{OC}+\\overrightarrow{OB}-\\overrightarrow{OC}\\bigg|=\\bigg|\\overrightarrow{BA}\\bigg|$<\/span><\/p>⇔ $\\bigg|\\overrightarrow{CA}+\\overrightarrow{CB}\\bigg|=AB$<\/span><\/p>⇔ $\\bigg|2\\overrightarrow{CI}\\bigg|=AB$<\/span> <\/p>⇔ 2CI = AB<\/p>⇔ CI = $\\dfrac{1}{2}$<\/span> AB<\/p>Suy ra tam giác ABC vuông t\u1ea1i C. (N\u1ebfu m\u1ed9t tam giác có \u0111\u01b0\u1eddng trung tuy\u1ebfn \u1ee9ng v\u1edbi m\u1ed9t c\u1ea1nh b\u1eb1ng m\u1ed9t n\u1eeda c\u1ea1nh \u1ea5y thì tam giác \u0111ó là tam giác vuông.)<\/p>\u0110áp án \u0111úng là    C.<\/strong> Tam giác ABC vuông t\u1ea1i C.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-06-21 09:15:36","option_type":"txt","len":2},{"id":"7211","mon_id":"1158767","chapter_id":"1158915","post_id":"6516","question":"Cho tam giác ABC có M là trung \u0111i\u1ec3m AB và N trên c\u1ea1nh AC sao cho NC = 2NA. Xác \u0111\u1ecbnh \u0111i\u1ec3m K sao cho $3\\overrightarrow{AB}+2\\overrightarrow{AC}-12\\overrightarrow{AK}=\\overrightarrow{0}$<\/span> .<\/p>","options":["A.<\/strong> \u0110i\u1ec3m K là trung \u0111i\u1ec3m c\u1ea1nh AM.","B.<\/strong> \u0110i\u1ec3m K là trung \u0111i\u1ec3m c\u1ea1nh BN.","C.<\/strong> \u0110i\u1ec3m K là trung \u0111i\u1ec3m c\u1ea1nh BC.","D.<\/strong> \u0110i\u1ec3m K là trung \u0111i\u1ec3m c\u1ea1nh MN."],"correct":"4","level":"3","hint":"","answer":"<svg height=\"220\" width=\"320\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"222\" id=\"canvas_background\" width=\"322\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><image height=\"217\" id=\"svg_1\" width=\"315\" x=\"1.5\" xlink:href=\"data:image\/png;base64,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\" y=\"1.50001\"><\/image> <\/g> <\/svg><\/span><\/p>M là trung \u0111i\u1ec3m AB nên $\\overrightarrow{AB}=2\\overrightarrow{AM}$<\/span>.<\/p>Vì N trên c\u1ea1nh AC sao cho NC = 2NA nên  $\\overrightarrow{AC}=3\\overrightarrow{AN}$<\/span><\/p>Ta có  $3\\overrightarrow{AB}+2\\overrightarrow{AC}-12\\overrightarrow{AK}=\\overrightarrow{0}$<\/span><\/p>⇔ $6\\overrightarrow{AM}+6\\overrightarrow{AN}-12\\overrightarrow{AK}=\\overrightarrow{0}$<\/span><\/p>⇔ $\\overrightarrow{AK}=\\dfrac{1}{2}\\bigg(\\overrightarrow{AM}+\\overrightarrow{AN}\\bigg)$<\/span> <\/p>Suy ra K là trung \u0111i\u1ec3m c\u1ee7a MN.<\/p>\u0110áp án \u0111úng là   D.<\/strong> \u0110i\u1ec3m K là trung \u0111i\u1ec3m c\u1ea1nh MN.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-06-21 09:24:56","option_type":"txt","len":2}]}