Góc - Bài tập nâng cao

Home Toán lớp 6 (Sách KNTT)Toán lớp 6 Tập 2 Bài 36: GócBài tập nâng cao

{"common":{"save":0,"post_id":"4671","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7349","post_id":"4671","mon_id":"1158113","chapter_id":"1158164","question":"Trong các kh\u1eb3ng \u0111\u1ecbnh sau, kh\u1eb3ng \u0111\u1ecbnh nào \u0111úng<\/strong>?<\/p>1.<\/strong> Góc b\u1eb9t xOy g\u1ed3m hai tia \u0111\u1ed1i nhau là Ox và Oy<\/p>2.<\/strong> Góc MNP có \u0111\u1ec9nh M và hai c\u1ea1nh là hai tia MN và MP<\/p>3.<\/strong> Hai tia chung g\u1ed1c Ax và Ay t\u1ea1o nên góc xAy<\/p>","options":[" Kh\u1eb3ng \u0111\u1ecbnh 1 và 3"," Kh\u1eb3ng \u0111\u1ecbnh 1 và 2","Kh\u1eb3ng \u0111\u1ecbnh 2 và 3"],"correct":"1","level":"3","hint":"","answer":"Xét các kh\u1eb3ng \u0111\u1ecbnh<\/p>1.<\/strong> Góc b\u1eb9t xOy g\u1ed3m hai tia \u0111\u1ed1i nhau là Ox và Oy  (\u0110úng)<\/span><\/p>2. <\/strong>Góc MNP có \u0111\u1ec9nh M và hai c\u1ea1nh là hai tia MN và MP  (Sai<\/span> vì góc MNP có \u0111\u1ec9nh N và hai c\u1ea1nh là hai tia NM và NP)<\/p>3.<\/strong> Hai tia chung g\u1ed1c Ax và Ay t\u1ea1o nên góc xAy    (\u0110úng)<\/span><\/p>V\u1eady \u0111áp án \u0111úng là   Kh\u1eb3ng \u0111\u1ecbnh 1 và 3<\/strong><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"3","date":"2021-09-07 03:40:48","option_type":"txt","len":2},{"id":"7350","post_id":"4671","mon_id":"1158113","chapter_id":"1158164","question":"Trong hình v\u1ebd sau có bao nhiêu góc có \u0111\u1ec9nh là A?<\/p><svg height=\"170\" width=\"200\"> <g><title><\/title><rect fill=\"#fff\" height=\"172\" id=\"canvas_background\" width=\"202\" 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><path d=\"m12.7555,138.90387l83.99999,-123.99999l83.99999,123.99999l-167.99999,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"96.9\" x2=\"52.9\" y1=\"14.85\" y2=\"138.85\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"96.9\" x2=\"109.9\" y1=\"13.85\" y2=\"138.85\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" opacity=\"0.5\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x=\"77.9\" x1=\"-374.1\" x2=\"-402.1\" y=\"24.85\" y1=\"28.85\" y2=\"51.85\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"79.9\" xml:space=\"preserve\" y=\"17.85\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"11.9\" xml:space=\"preserve\" y=\"156.85\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"52.9\" xml:space=\"preserve\" y=\"155.85\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"111.9\" xml:space=\"preserve\" y=\"157.85\">D<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"176.9\" xml:space=\"preserve\" y=\"155.85\">E<\/text> <\/g> <\/svg><\/span><\/p>","options":["4","5","6"],"correct":"3","level":"3","hint":"Cách 1: K\u1ec3 tên và \u0111\u1ebfm các góc có \u0111\u1ec9nh A<\/p>Cách 2: Dùng công th\u1ee9c tính nhanh $\\dfrac{n(n-1)}{2}$<\/span> , trong \u0111ó n là s\u1ed1 tia g\u1ed1c A và không có hai tia nào \u0111\u1ed1i nhau.<\/p>","answer":"Cách 1:<\/strong> Trong hình v\u1ebd có 6 góc có \u0111\u1ec9nh A g\u1ed3m:<\/p>$\\widehat{BAC}$<\/span> ; $\\widehat{BAD}$<\/span> ; $\\widehat{BAE}$<\/span> ; <\/p>$\\widehat{CAD}$<\/span> ; $\\widehat{CAE}$<\/span> ;<\/p>$\\widehat{DAE}$<\/span><\/p>V\u1eady \u0111áp án \u0111úng là 6 (qu\u1ea3 bóng ch\u1ee9a s\u1ed1 6)<\/strong><\/span><\/p>Cách 2: <\/strong>Trên hình v\u1ebd có 4 tia g\u1ed1c A là AB, AC, AD, AE (không có hai tia nào \u0111\u1ed1i nhau)<\/p>Do \u0111ó s\u1ed1 các góc có \u0111\u1ec9nh A là $\\dfrac{4(4-1)}{2} = \\dfrac{4 . 3}{2} = 6$<\/span><\/p>Chú ý: Cho n<\/strong> tia chung g\u1ed1c O, trong \u0111ó không có hai tia nào \u0111\u1ed1i nhau. Khi \u0111ó s\u1ed1 các góc có \u0111\u1ec9nh O \u0111\u01b0\u1ee3c t\u1ea1o thành là $\\dfrac{n(n-1)}{2}$<\/span><\/span><\/p>","type":"choose","extra_type":"balloon","time":"0","user_id":"131","test":"1","date":"2021-09-07 03:47:26","option_type":"txt","len":0},{"id":"7352","post_id":"4671","mon_id":"1158113","chapter_id":"1158164","question":"Quan sát hình v\u1ebd, k\u1ec3 tên các góc có \u0111\u1ec9nh C và \u0111\u1ec9nh D<\/p><svg height=\"150\" width=\"210\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"212\" 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><path d=\"m35.86288,166.6765l0,-116.82152l139.81527,116.82152l-139.81527,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" transform=\"rotate(136.99322509765625 105.7705078125,108.26573944091797) \"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"116.9\" x2=\"80.9\" y1=\"17.85\" y2=\"110.85\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"130.9\" x2=\"116.9\" y1=\"106.85\" y2=\"19.85\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"8.9\" xml:space=\"preserve\" y=\"128.85\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"104.9\" xml:space=\"preserve\" y=\"17.85\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"76.9\" xml:space=\"preserve\" y=\"127.85\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"127.9\" xml:space=\"preserve\" y=\"127.85\">D<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"190.9\" xml:space=\"preserve\" y=\"123.85\">E<\/text> <\/g> <\/svg><\/span><\/p>","options":[["Các góc có \u0111\u1ec9nh C","Các góc có \u0111\u1ec9nh D"],["$\\widehat{ADB}$<\/span> ; $\\widehat{BDE}$<\/span> ; $\\widehat{ADE}$<\/span>","$\\widehat{ACB}$<\/span> ; $\\widehat{BCE}$<\/span> ; $\\widehat{ACE}$<\/span>"],["$\\widehat{ACB}$<\/span> ; $\\widehat{BCE}$<\/span> ; $\\widehat{ACE}$<\/span>","$\\widehat{ADB}$<\/span> ; $\\widehat{BDE}$<\/span> ; $\\widehat{ADE}$<\/span>"]],"correct":[1,0],"level":"3","hint":"Có ba góc có \u0111\u1ec9nh C và ba góc có \u0111\u1ec9nh D<\/p>","answer":"Các góc có \u0111\u1ec9nh C là $\\widehat{ACB}$<\/span> ; $\\widehat{BCE}$<\/span> ; $\\widehat{ACE}$<\/span><\/strong><\/span><\/p>Các góc có \u0111\u1ec9nh D là $\\widehat{ADB}$<\/span> ; $\\widehat{BDE}$<\/span> ; $\\widehat{ADE}$<\/span><\/strong><\/span><\/p>","type":"matching","extra_type":"mat_txt","time":"0","user_id":"131","test":"1","date":"2021-09-07 03:54:44"}]}