Tổng và hiệu của hai vectơ - Bài tập dễ số 2

Home Lớp 10 Toán lớp 10 - Sách Kết nối tri thức Bài 8: Tổng và hiệu của hai vectơBài tập cơ bản

{"common":{"save":0,"post_id":"6394","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6207","mon_id":"1158767","chapter_id":"1158861","post_id":"6394","question":"Cho hình bình hành $ABCD$<\/span>  tâm  $O$<\/span>. Khi \u0111ó  $\\overrightarrow{OA}+\\overrightarrow{BO}$<\/span><\/p>","options":["A. $\\overrightarrow{CD}$<\/span> ","B. $\\overrightarrow{OB}+\\overrightarrow{OC}$<\/span> ","C. $\\overrightarrow{AB}$<\/span> ","D. $\\overrightarrow{OC}+\\overrightarrow{DO}$<\/span>"],"correct":"1","level":"1","hint":"","answer":"\u0110áp án: A<\/strong><\/span><\/p><svg height=\"123\" width=\"228\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"125\" id=\"canvas_background\" width=\"230\" 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=\"123\" id=\"svg_1\" width=\"228\" x=\"0\" xlink:href=\"data:image\/png;base64,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\" y=\"0\"><\/image> <\/g> <\/svg><\/span><\/p>$\\overrightarrow{OA}+\\overrightarrow{BO}=\\overrightarrow{BO}+\\overrightarrow{OA}=\\overrightarrow{BA}=\\overrightarrow{CD}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-01-03 08:57:28","option_type":"math","len":0},{"id":"6208","mon_id":"1158767","chapter_id":"1158861","post_id":"6394","question":"G\u1ecdi $O$<\/span>  là giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng chéo hình bình hành $ABCD$<\/span> . \u0110\u1eb3ng th\u1ee9c nào sau \u0111ây sai<\/strong>?<\/p>","options":["A. $\\overrightarrow{BA}=\\overrightarrow{CD}$<\/span>.","B. $\\overrightarrow{OA}=\\overrightarrow{OC}$<\/span>","C. $|\\overrightarrow{AB}|=|\\overrightarrow{CD}|$<\/span>.","D. $\\overrightarrow{AO}=\\overrightarrow{OC}$<\/span>."],"correct":"2","level":"1","hint":"","answer":"<\/span>\u0110\u1eb3ng th\u1ee9c sai c\u1ea7n ch\u1ecdn là:<\/strong> <\/strong>B.  $\\overrightarrow{OA}=\\overrightarrow{OC}$<\/span><\/strong><\/span><\/p><svg height=\"123\" width=\"228\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"125\" id=\"canvas_background\" width=\"230\" 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=\"123\" id=\"svg_1\" width=\"228\" x=\"0\" xlink:href=\"data:image\/png;base64,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\" y=\"0\"><\/image> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-01-03 09:01:52","option_type":"math","len":0},{"id":"6209","mon_id":"1158767","chapter_id":"1158861","post_id":"6394","question":"Cho tam giác $ABC$<\/span> \u0111\u1ec1u có c\u1ea1nh b\u1eb1ng $a$<\/span> .  \u0110\u1ed9 dài c\u1ee7a  $\\overrightarrow{AB}+\\overrightarrow{AC}$<\/span>  b\u1eb1ng:<\/p>","options":["A. $a\\sqrt 3$<\/span>","B. $a\\sqrt 3\\over2$<\/span>","C. $a$<\/span> ","D. $2a$<\/span>"],"correct":"1","level":"1","hint":"","answer":"\u0110áp án: A<\/strong><\/span><\/p>G\u1ecdi $M$<\/span> là trung \u0111i\u1ec3m c\u1ee7a  $BC$<\/span>.  Khi \u0111ó  $\\overrightarrow{AB}+\\overrightarrow{AC}=2\\overrightarrow{AM}\\Rightarrow|\\overrightarrow{AB}-\\overrightarrow{AC}|=2|\\overrightarrow{AM}|=2.\\frac{a\\sqrt{3}}{2}=a\\sqrt{3}$<\/span><\/p>(\u0111\u01b0\u1eddng trung tuy\u1ebfn c\u1ee7a tam giác \u0111\u1ec1u c\u1ea1nh  $a$<\/span> có \u0111\u1ed9 dài là $a\\sqrt 3\\over2$<\/span> )<\/p>V\u1eady \u0111\u1ed9 dài c\u1ee7a  $\\overrightarrow{AB}+\\overrightarrow{AC}$<\/span>  b\u1eb1ng $a\\sqrt 3$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-01-03 09:09:03","option_type":"math","len":0}]}