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

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

{"common":{"save":0,"post_id":"6398","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6278","mon_id":"1158767","chapter_id":"1158861","post_id":"6398","question":"Cho hình bình hành $ABCD$<\/span> có tâm $O$<\/span> . Kh\u1eb3ng \u0111\u1ecbnh nào sau \u0111ây là \u0111úng:<\/p>","options":["A. $\\overrightarrow{AB}-\\overrightarrow{AC}=\\overrightarrow{DA}$<\/span>","B. $\\overrightarrow{AO}+\\overrightarrow{AC}=\\overrightarrow{BO}$<\/span>","C. $\\overrightarrow{AO}-\\overrightarrow{BO}=\\overrightarrow{CD}$<\/span>","D. $\\overrightarrow{AO}+\\overrightarrow{BO}=\\overrightarrow{BD}$<\/span>"],"correct":"1","level":"3","hint":" <svg height=\"209\" width=\"446\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"211\" id=\"canvas_background\" width=\"448\" 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=\"209\" id=\"svg_1\" width=\"446\" x=\"-2\" 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y=\"0\"><\/image> <\/g> <\/svg><\/span> $\\overrightarrow{AB}-\\overrightarrow{AC}=\\overrightarrow{DA}\\Leftrightarrow\\overrightarrow{AB}+\\overrightarrow{AD}=\\overrightarrow{AC}$<\/span>  ( luôn \u0111úng)<\/p>","answer":"\u0110áp án: A<\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-02-13 02:41:46","option_type":"math","len":0},{"id":"6279","mon_id":"1158767","chapter_id":"1158861","post_id":"6398","question":"Cho b\u1ed1n \u0111i\u1ec3m b\u1ea5t kì  $A,B,C,O$<\/span>  . \u0110\u1eb3ng th\u1ee9c nào sau \u0111ây \u0111úng?<\/p>","options":["A. $\\overrightarrow{OA}=\\overrightarrow{OB}-\\overrightarrow{BA}$<\/span>","B. $\\overrightarrow{OA}=\\overrightarrow{CA}-\\overrightarrow{CO}$<\/span>","C. $\\overrightarrow{AB}=\\overrightarrow{AC}+\\overrightarrow{BC}$<\/span>","D. $\\overrightarrow{AB}=\\overrightarrow{OB}+\\overrightarrow{OA}$<\/span>"],"correct":"2","level":"3","hint":" $\\overrightarrow{OA}=\\overrightarrow{CA}-\\overrightarrow{CO}$<\/span> ( \u0111úng vì theo quy t\u1eafc tr\u1eeb 3 \u0111i\u1ec3m) $\\overrightarrow{OA}=\\overrightarrow{OB}-\\overrightarrow{BA}\\Leftrightarrow \\overrightarrow{OA}-\\overrightarrow{OB}=-\\overrightarrow{BA}\\Leftrightarrow\\overrightarrow{OA}-\\overrightarrow{OB}=\\overrightarrow{AB}\\Leftrightarrow\\overrightarrow{BA}=\\overrightarrow{AB}$<\/span>  (vô lí) $\\overrightarrow{AB}=\\overrightarrow{AC}+\\overrightarrow{BC}\\Leftrightarrow \\overrightarrow{AB}-\\overrightarrow{AC}=\\overrightarrow{BC}\\Leftrightarrow\\overrightarrow{BC}=\\overrightarrow{CB}$<\/span> (vô lí) $\\overrightarrow{AB}=\\overrightarrow{OA}+\\overrightarrow{OB}\\Leftrightarrow \\overrightarrow{AB}-\\overrightarrow{OB}=\\overrightarrow{OA}\\Leftrightarrow\\overrightarrow{AO}=\\overrightarrow{OA}$<\/span>  (vô lí)<\/p>","answer":"\u0110áp án:  B<\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-02-13 02:51:15","option_type":"math","len":0},{"id":"6280","mon_id":"1158767","chapter_id":"1158861","post_id":"6398","question":"Cho hình bình hành $ABCD$<\/span> có tâm $O$<\/span>  . Véc t\u01a1 $\\overrightarrow{AO}-\\overrightarrow{DO}$<\/span>  b\u1eb1ng véc t\u01a1 nào trong các véc t\u01a1 sau?<\/p>","options":["A. $\\overrightarrow{BA}$<\/span>","B. $\\overrightarrow{BC}$<\/span>","C. $\\overrightarrow{DC}$<\/span>","D. $\\overrightarrow{AC}$<\/span>"],"correct":"2","level":"3","hint":"<svg height=\"209\" width=\"446\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"211\" id=\"canvas_background\" width=\"448\" 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=\"209\" id=\"svg_1\" width=\"446\" x=\"0\" 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y=\"-0.5\"><\/image> <\/g> <\/svg><\/span><\/p>$\\overrightarrow{AO}-\\overrightarrow{DO}=\\overrightarrow{AD}=\\overrightarrow{BC}$<\/span><\/p>","answer":"\u0110áp án: B<\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-02-13 02:55:54","option_type":"math","len":0}]}