Tứ giác - Bài tập trung bình

Home Lớp 8 Toán lớp 8 - Sách Kết nối tri thức Bài 10. Tứ giác.Bài tập trung bình

{"common":{"save":0,"post_id":"6560","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5990","post_id":"6560","mon_id":"1158921","chapter_id":"1158929","question":"Tính các góc ch\u01b0a bi\u1ebft c\u1ee7a t\u1ee9 giác ABCD trong hình.<\/p><svg height=\"150\" width=\"200\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" 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><g id=\"svg_13\"> <g id=\"svg_7\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"167.95453\" x2=\"167.95453\" y1=\"17.97727\" y2=\"130.97726\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"18.95453\" x2=\"168.95453\" y1=\"130.97726\" y2=\"131\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"67.95453\" x2=\"19.95453\" y1=\"35.97727\" y2=\"129.97726\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"67.95453\" x2=\"166.95453\" y1=\"36.97727\" y2=\"81.97727\"><\/line> <rect fill=\"none\" fill-opacity=\"null\" height=\"14\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"13\" x=\"154.95453\" y=\"116.97727\"><\/rect> <rect fill=\"none\" fill-opacity=\"null\" height=\"13.22621\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(27.514314651489258 70.86425018310547,45.69068145751954) \" width=\"13\" x=\"64.36425\" y=\"39.07758\"><\/rect> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"20\" font-style=\"italic\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"170.95453\" xml:space=\"preserve\" y=\"21.97727\">x<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"20\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.95453\" xml:space=\"preserve\" y=\"145.97726\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"20\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"50.95453\" xml:space=\"preserve\" y=\"37.97727\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"20\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"171.95453\" xml:space=\"preserve\" y=\"85.97727\">D<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"20\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"169.95453\" xml:space=\"preserve\" y=\"140.97726\">C<\/text> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Trebuchet MS, Gadget, sans-serif\" font-size=\"17\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"135.95453\" xml:space=\"preserve\" y=\"63.97727\">60<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"17\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"152.95453\" xml:space=\"preserve\" y=\"55.97727\">0<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> $\\widehat{B}=60^0,\\widehat{D}=120^0$<\/span>","B.<\/strong> $\\widehat{B}=50^0,\\widehat{D}=130^0$<\/span>","C.<\/strong> $\\widehat{B}=120^0,\\widehat{D}=60^0$<\/span>","D.<\/strong> $\\widehat{B}=130^0,\\widehat{D}=50^0$<\/span>"],"correct":"1","level":"2","hint":"","answer":"Ta có: $\\widehat{xDA}+\\widehat{ADC}=180^0$<\/span> (hai góc k\u1ec1 bù).<\/p>                       $\\widehat{ADC}=180^0-\\widehat{xDA}$<\/span><\/p>                       $\\widehat{ADC}=180^0-60^0=120^0$<\/span><\/p>hay $\\widehat{D}=120^0$<\/span><\/span><\/p>Theo \u0111\u1ecbnh lí v\u1ec1 t\u1ed5ng các góc trong m\u1ed9t t\u1ee9 giác, ta có:<\/p>      $\\widehat{A}+\\widehat{B}+\\widehat{C}+\\widehat{D}=360^0$<\/span><\/p>$90^0+\\widehat{B}+90^0+120^0=360^0$<\/span><\/p>           $\\widehat{B}=360^0-300^0$<\/span><\/p>           $\\widehat{B}=60^0$<\/span><\/span><\/p>Ch\u1ecdn A.<\/strong> $\\widehat{B}=60^0,\\widehat{D}=120^0$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-17 04:06:28","option_type":"math","len":0},{"id":"5992","post_id":"6560","mon_id":"1158921","chapter_id":"1158929","question":"Tính các góc ch\u01b0a bi\u1ebft c\u1ee7a t\u1ee9 giác trong hình.<\/p><svg height=\"170\" width=\"270\"> <g><title><\/title><rect fill=\"#ffffaa\" height=\"172\" id=\"canvas_background\" width=\"272\" 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_21\"> <g id=\"svg_14\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"15.95453\" x2=\"267.95452\" y1=\"148.97726\" y2=\"148.97726\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"128.95453\" x2=\"167.95453\" y1=\"6.97727\" y2=\"148.97727\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"51.95453\" x2=\"15.95453\" y1=\"57.97727\" y2=\"148.97726\"><\/line> <rect fill=\"#fff\" height=\"11\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"1.5\" transform=\"rotate(20.136308670043945 55.4545288085937,64.47726440429688) \" width=\"11\" x=\"49.95453\" y=\"58.97727\"><\/rect> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"51.95453\" x2=\"152.95453\" y1=\"56.97727\" y2=\"95.97726\"><\/line> <g id=\"svg_9\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"118.95453\" xml:space=\"preserve\" y=\"78.97727\">50<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"133.95453\" xml:space=\"preserve\" y=\"68.97727\">o<\/text> <\/g> <g id=\"svg_13\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"169.95453\" xml:space=\"preserve\" y=\"144.97727\">115<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"192.95453\" xml:space=\"preserve\" y=\"134.97727\">o<\/text> <\/g> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"15\" font-style=\"italic\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"132.95453\" xml:space=\"preserve\" y=\"11.97727\">x<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"15\" font-style=\"italic\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"257.95453\" xml:space=\"preserve\" y=\"141.97726\">y<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"15\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"39.95453\" xml:space=\"preserve\" y=\"53.97727\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"15\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"1.95453\" xml:space=\"preserve\" y=\"154.97726\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"15\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"159.95453\" xml:space=\"preserve\" y=\"166.97726\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Georgia, Times, Times New Roman, serif\" font-size=\"15\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"155.95453\" xml:space=\"preserve\" y=\"99.97726\">D<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> $\\widehat{B}=75^0,\\widehat{C}=65^0,\\widehat{D}=130^0$<\/span>","B.<\/strong> $\\widehat{B}=65^0,\\widehat{C}=75^0,\\widehat{D}=130^0$<\/span>","C.<\/strong> $\\widehat{B}=130^0,\\widehat{C}=65^0,\\widehat{D}=130^0$<\/span>","D.<\/strong> $\\widehat{B}=130^0,\\widehat{C}=65^0,\\widehat{D}=75^0$<\/span>"],"correct":"1","level":"2","hint":"","answer":"Ta có: $\\widehat{xDA}+\\widehat{ADC}=180^0$<\/span> (hai góc k\u1ec1 bù).<\/p>                       $\\widehat{ADC}=180^0-\\widehat{xDA}$<\/span><\/p>                       $\\widehat{ADC}=180^0-50^0=130^0$<\/span> hay $\\widehat{D}=130^0$<\/span><\/span><\/p>L\u1ea1i có: $\\widehat{yCD}+\\widehat{BCD}=180^0$<\/span> (hai góc k\u1ec1 bù).<\/p>                       $\\widehat{BCD}=180^0-\\widehat{yCD}$<\/span><\/p>                       $\\widehat{BCD}=180^0-115^0=65^0$<\/span> hay $\\widehat{C}=65^0$<\/span><\/span><\/p>Theo \u0111\u1ecbnh lí v\u1ec1 t\u1ed5ng các góc trong m\u1ed9t t\u1ee9 giác, ta có:<\/p>      $\\widehat{A}+\\widehat{B}+\\widehat{C}+\\widehat{D}=360^0$<\/span><\/p>$90^0+\\widehat{B}+65^0+130^0=360^0$<\/span><\/p>           $\\widehat{B}=360^0-285^0$<\/span><\/p>           $\\widehat{B}=75^0$<\/span><\/span><\/p>Ch\u1ecdn A.<\/strong> $\\widehat{B}=75^0,\\widehat{C}=65^0,\\widehat{D}=130^0$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-17 04:17:13","option_type":"math","len":0},{"id":"5996","post_id":"6560","mon_id":"1158921","chapter_id":"1158929","question":"Tìm góc ch\u01b0a bi\u1ebft c\u1ee7a t\u1ee9 giác EFGH trong hình.<\/p><svg height=\"180\" width=\"210\"> <g><title><\/title><rect fill=\"#d4ffaa\" height=\"182\" id=\"canvas_background\" width=\"212\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_2\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_21\"> <g id=\"svg_11\"> <g id=\"svg_6\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"43.95453\" x2=\"155.95453\" y1=\"10.97727\" y2=\"40.97727\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"43.95453\" x2=\"23.95453\" y1=\"10.97727\" y2=\"137.97726\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"155.95453\" x2=\"175.95453\" y1=\"40.97727\" y2=\"169.97726\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"23.95453\" x2=\"175.95453\" y1=\"136.97726\" y2=\"169.97726\"><\/line> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.95453\" xml:space=\"preserve\" y=\"152.97726\">H<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"21.95453\" xml:space=\"preserve\" y=\"21.97727\">E<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"160.95453\" xml:space=\"preserve\" y=\"46.97727\">F<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"178.95453\" xml:space=\"preserve\" y=\"174.97726\">G<\/text> <\/g> <g id=\"svg_14\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"42.95453\" xml:space=\"preserve\" y=\"40.97726\">85<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"61.95452\" xml:space=\"preserve\" y=\"29.97726\">o<\/text> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"138.95453\" xml:space=\"preserve\" y=\"155.97726\">70<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"157.95452\" xml:space=\"preserve\" y=\"144.97726\">o<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"30.95453\" xml:space=\"preserve\" y=\"129.97726\">100<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"56.95452\" xml:space=\"preserve\" y=\"118.97726\">o<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> $\\widehat{F}=100^0$<\/span>","B.<\/strong> $\\widehat{F}=105^0$<\/span>","C.<\/strong> $\\widehat{F}=115^0$<\/span>","D.<\/strong> $\\widehat{F}=95^0$<\/span>"],"correct":"2","level":"2","hint":"","answer":"Theo \u0111\u1ecbnh lí v\u1ec1 t\u1ed5ng các góc trong m\u1ed9t t\u1ee9 giác, ta có:<\/p>      $\\widehat{E}+\\widehat{F}+\\widehat{G}+\\widehat{H}=360^0$<\/span><\/p>$85^0+\\widehat{F}+70^0+100^0=360^0$<\/span><\/p>           $\\widehat{F}=360^0-255^0$<\/span><\/p>           $\\widehat{F}=105^0$<\/span><\/p>Ch\u1ecdn B.<\/strong> $\\widehat{F}=105^0$<\/span><\/span><\/p>","type":"choose","extra_type":"shape1","time":"0","user_id":"131","test":"0","date":"2023-07-17 04:33:38","option_type":"math","len":0}]}