Hình thang cân - Bài tập trung bình

Home Lớp 8 Toán lớp 8 - Sách Kết nối tri thức Bài 11. Hình thang cânBài tập trung bình

{"common":{"save":0,"post_id":"6616","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6016","post_id":"6616","mon_id":"1158921","chapter_id":"1158929","question":"Cho hình v\u1ebd, t\u1ee9 giác ABCD là hình gì?<\/p><svg height=\"130\" width=\"280\"> <g><title><\/title><rect fill=\"#fff\" height=\"132\" id=\"canvas_background\" width=\"282\" 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><g id=\"svg_18\"> <g id=\"svg_13\"> <g id=\"svg_3\"> <path d=\"m16.19877,106.70365l42.5625,-79l141.87502,0l42.56249,79l-227.00001,0z\" 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=\"200.31535\" x2=\"275.31535\" y1=\"27.79262\" y2=\"28\"><\/line> <\/g> <g id=\"svg_6\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"29.31535\" xml:space=\"preserve\" y=\"101.79262\">60<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"48.31535\" xml:space=\"preserve\" y=\"88.79262\">o<\/text> <\/g> <g id=\"svg_9\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"214.31535\" xml:space=\"preserve\" y=\"52.79262\">60<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"233.31535\" xml:space=\"preserve\" y=\"39.79262\">o<\/text> <\/g> <g id=\"svg_12\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"199.31535\" xml:space=\"preserve\" y=\"101.79262\">60<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"218.31535\" xml:space=\"preserve\" y=\"88.79262\">o<\/text> <\/g> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"50.31535\" xml:space=\"preserve\" y=\"22.79262\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"196.31535\" xml:space=\"preserve\" y=\"23.79262\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"242.31535\" xml:space=\"preserve\" y=\"121.79262\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"4.31535\" xml:space=\"preserve\" y=\"121.79262\">D<\/text> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"263.31535\" xml:space=\"preserve\" y=\"23.79262\">x<\/text> <\/g> <\/svg><\/span><\/p>","options":["A. <\/strong>Hình thang cân","B.<\/strong> Hình thang vuông","C.<\/strong> Hình vuông","D.<\/strong> Hình ch\u1eef nh\u1eadt"],"correct":"1","level":"2","hint":"","answer":"Vì  $\\widehat{CBx}=\\widehat{BCD}=60^0$<\/span>  mà hai góc này \u1edf v\u1ecb trí so le trong nên AB \/\/ CD.<\/p>Suy ra t\u1ee9 giác ABCD là hình thang.<\/p>M\u1eb7t khác, $\\widehat{ADC}=\\widehat{BCD}=60^0$<\/span> .<\/p>Do \u0111ó hình thang ABCD là hình thang cân.<\/p>\u0110áp án \u0111úng là   A. <\/strong>Hình thang cân.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-17 05:43:10","option_type":"txt","len":2},{"id":"6019","post_id":"6616","mon_id":"1158921","chapter_id":"1158929","question":"Bi\u1ebft ABCD là hình thang có \u0111áy bé là AB, \u0111áy l\u1edbn là CD. Tính x trong hình.<\/p><svg height=\"130\" width=\"210\"> <g><title><\/title><rect fill=\"#fff\" height=\"132\" 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><g id=\"svg_10\"> <path d=\"m16.59877,103.67865l57.125,-82l93.75002,0l28.12499,82l-151.00001,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_2\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"75.31535\" xml:space=\"preserve\" y=\"39.79262\">x<\/text> <g id=\"svg_5\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"33.31535\" xml:space=\"preserve\" y=\"96.79262\">60<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"51.31535\" xml:space=\"preserve\" y=\"83.79262\">o<\/text> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"59.31535\" xml:space=\"preserve\" y=\"19.79262\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"167.31535\" xml:space=\"preserve\" y=\"19.79262\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"194.31535\" xml:space=\"preserve\" y=\"118.79262\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"4.31535\" xml:space=\"preserve\" y=\"118.79262\">D<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> 60°","B.<\/strong> 120°","C.<\/strong> 100°","D.<\/strong> 180°"],"correct":"2","level":"2","hint":"","answer":"Vì ABCD là hình thang có \u0111áy bé là AB, \u0111áy l\u1edbn là CD nên AB \/\/ CD. <\/p>Suy ra $\\widehat{A}+\\widehat{D}$<\/span> = 180°  (2 góc trong cùng phía)<\/p>             x + 60° = 180°<\/p>             x = 180° – 60°<\/p>             x = 120°<\/p>\u0110áp án \u0111úng là    B.<\/strong> 120°.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-17 07:10:30","option_type":"txt","len":1},{"id":"6020","post_id":"6616","mon_id":"1158921","chapter_id":"1158929","question":"Cho hình thang ABCD có hai \u0111áy là AB và CD, tính x trong hình.<\/p><svg height=\"170\" width=\"220\"> <g><title><\/title><rect fill=\"#fff\" height=\"172\" id=\"canvas_background\" width=\"222\" 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><g id=\"svg_10\"> <path d=\"m-5.87123,124.64865l61.0625,-84l106.87501,0l32.06249,84l-172,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" transform=\"rotate(-20 94.12876892089848,82.64865112304688) \"><\/path> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_2\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"137.31535\" xml:space=\"preserve\" y=\"38.79262\">x<\/text> <g id=\"svg_5\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"161.31535\" xml:space=\"preserve\" y=\"93.79262\">80<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"178.31535\" xml:space=\"preserve\" y=\"79.79262\">o<\/text> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"27.31535\" xml:space=\"preserve\" y=\"53.79262\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"146.31535\" xml:space=\"preserve\" y=\"19.79262\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"203.31535\" xml:space=\"preserve\" y=\"96.79262\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.31535\" xml:space=\"preserve\" y=\"155.79262\">D<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> 100°","B.<\/strong> 80°","C.<\/strong> 120°","D.<\/strong> 110°"],"correct":"1","level":"2","hint":"","answer":"Vì ABCD là hình thang có hai \u0111áy là AB và CD nên AB \/\/ CD.<\/p>Suy ra $\\widehat{B}+\\widehat{C}$<\/span> = 180°<\/p>            x + 80° = 180°<\/p>            x = 180° – 80°<\/p>            x = 100°<\/p>\u0110áp án \u0111úng là    A.<\/strong> 100°.<\/span><\/p>","type":"choose","extra_type":"shape2","time":"0","user_id":"131","test":"0","date":"2023-07-17 07:16:38","option_type":"txt","len":0}]}