Hình đồng dạng - Bài tập trung bình

Home Lớp 8 Toán lớp 8 - Sách Kết nối tri thức Bài 37. Hình đồng dạngBài tập trung bình

{"common":{"save":0,"post_id":"6638","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7071","post_id":"6638","mon_id":"1158921","chapter_id":"1158939","question":"Cho bi\u1ebft ABCD và MNPQ là hai hình ch\u1eef nh\u1eadt \u0111\u1ed3ng d\u1ea1ng. Tính chu vi c\u1ee7a hình ch\u1eef nh\u1eadt MNPQ, bi\u1ebft AB = 150 cm, AD = 90 cm, MN = 120 cm.<\/p><svg height=\"130\" width=\"400\"> <g><title><\/title><rect fill=\"#fff\" height=\"132\" id=\"canvas_background\" width=\"402\" 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_11\"> <rect fill=\"#56ffaa\" height=\"72\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\" width=\"120\" x=\"255.00001\" y=\"32.81\"><\/rect> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"240.00001\" xml:space=\"preserve\" y=\"27.81\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"375.00001\" xml:space=\"preserve\" y=\"29.81\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"376.00001\" xml:space=\"preserve\" y=\"110.81001\">P<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"239.00001\" xml:space=\"preserve\" y=\"112.81001\">Q<\/text> <\/g> <g id=\"svg_12\"> <rect fill=\"#56ffaa\" height=\"90\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" width=\"150\" x=\"28.00001\" y=\"16.81\"><\/rect> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"9.00001\" xml:space=\"preserve\" y=\"21.81\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"181.00001\" xml:space=\"preserve\" y=\"21.81\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"179.00001\" xml:space=\"preserve\" y=\"112.81001\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"7.00001\" xml:space=\"preserve\" y=\"110.81001\">D<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> 380 cm","B.<\/strong> 344 cm","C.<\/strong> 384 cm","D.<\/strong> 334 cm"],"correct":"3","level":"2","hint":"","answer":"Vì ABCD và MNPQ là hai hình ch\u1eef nh\u1eadt \u0111\u1ed3ng d\u1ea1ng nên<\/p>$\\dfrac{AD}{MQ}=\\dfrac{AB}{MN}$<\/span> hay $\\dfrac{90}{MQ}=\\dfrac{150}{120}$<\/span>. <\/p>Suy ra  $MQ=\\dfrac{90.120}{150}$<\/span> =72 (cm)<\/p>Chu vi hình ch\u1eef nh\u1eadt MNPQ là: <\/p>2. (120 + 72) = 384 (cm)<\/p>Ch\u1ecdn C.<\/strong> 384 cm<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-14 02:46:47","option_type":"txt","len":0},{"id":"7083","post_id":"6638","mon_id":"1158921","chapter_id":"1158939","question":"Hình 1 \u0111\u1ed3ng d\u1ea1ng v\u1edbi hình 2 theo t\u1ec9 s\u1ed1 nào?<\/p><svg height=\"300\" width=\"240\"> <g><title><\/title><rect fill=\"#fff\" height=\"302\" id=\"canvas_background\" width=\"242\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_11\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_14\"> <path d=\"m152.52824,69.90321c-6.4178,-0.9522 -13.09745,-1.57915 -18.52132,-1.74885l-0.95652,-0.02828c0.21909,-0.42425 0.38475,-0.7118 0.43818,-0.75422c0.11756,-0.08485 0.21375,-0.4431 0.22444,-0.79193c0,-0.19327 0.09619,-0.82022 0.24581,-1.64986c1.46952,0.04714 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0.20089,-2.18036s-2.15964,-0.48575 -2.7258,0.15704c-0.65748,0.75235 -0.30591,1.32575 0.16437,1.93567c0.73054,0.45287 1.71219,0.54418 2.36054,0.08765z\" fill=\"#ffff56\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <g id=\"svg_10\" stroke=\"null\"> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"155.95453\" x2=\"155.95453\" y1=\"262.22043\" y2=\"173.31718\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(1,0,0,0.6634571049268227,0,12.14566495568311) \" x=\"149.95453\" xml:space=\"preserve\" y=\"378.9268\">v<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(-1,0,0,-0.6634571049268227,68.27268981933594,52.64671654122726) \" x=\"-94.04547\" xml:space=\"preserve\" y=\"-182.1541\">v<\/text> <\/g> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_13\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"157.95452\" xml:space=\"preserve\" y=\"225.88636\">4,2 cm<\/text> <\/g> <text fill=\"#ff0000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" font-weight=\"bold\" id=\"svg_16\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"75.95453\" xml:space=\"preserve\" y=\"149.88635\">1<\/text> <text fill=\"#ff0000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" font-weight=\"bold\" id=\"svg_17\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"74.95453\" xml:space=\"preserve\" y=\"286.88635\">2<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> $\\dfrac{3}{4}$<\/span>","B.<\/strong> $\\dfrac{4}{3}$<\/span>","C.<\/strong> $\\dfrac{4}{5}$<\/span>","D.<\/strong> $\\dfrac{7}{3}$<\/span>"],"correct":"2","level":"2","hint":"","answer":"Hình 1 \u0111\u1ed3ng d\u1ea1ng v\u1edbi hình 2 theo t\u1ec9 s\u1ed1 là: $\\dfrac{5,6}{4,2}=\\dfrac{4}{3}$<\/span><\/p>Ch\u1ecdn B.<\/strong> $\\dfrac{4}{3}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-17 01:24:23","option_type":"math","len":0},{"id":"7085","post_id":"6638","mon_id":"1158921","chapter_id":"1158939","question":"Hình 2 \u0111\u1ed3ng d\u1ea1ng v\u1edbi hình 1 theo t\u1ec9 s\u1ed1 nào?<\/p><svg height=\"200\" width=\"300\"> <g><title><\/title><rect fill=\"#fff\" height=\"202\" id=\"canvas_background\" width=\"302\" 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> 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font-size=\"24\" font-weight=\"bold\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"245.95452\" xml:space=\"preserve\" y=\"160.88635\">2<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"185.95453\" xml:space=\"preserve\" y=\"42.88635\">2,8 cm<\/text> <g id=\"svg_15\" stroke=\"null\" transform=\"rotate(67.77684020996094 235.2357177734375,48.71099853515628) \"> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"235.14478\" x2=\"235.14478\" y1=\"31.71092\" y2=\"65.15434\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" 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d=\"m159.79991,88.2882l-31.06956,10.40662l0,-20.80216l31.06956,10.39554zm-22.55912,-51.26285l-14.15463,28.05022l-15.62012,-14.71777l29.77475,-13.33244zm-54.44088,-21.22884l11.04708,29.25823l-22.10006,0l11.05297,-29.25823zm-54.44677,21.22884l29.78652,13.33244l-15.626,14.71777l-14.16051,-28.05022zm-22.55324,51.26285l31.07544,-10.39554l0,20.80216l-31.07544,-10.40662zm22.55324,51.26285l14.16051,-28.03913l15.626,14.71223l-29.78652,13.3269l0,0zm54.44677,21.24546l-11.05297,-29.26377l22.10006,0l-11.04708,29.26377zm54.44088,-21.24546l-29.78063,-13.32136l15.62012,-14.71223l14.16051,28.03359zm-92.93794,-51.26285l0,0c0,-20.01529 17.23863,-36.24584 38.50295,-36.24584c21.25843,0 38.50295,16.23056 38.50295,36.24584c0,20.02083 -17.24452,36.25139 -38.50295,36.25139c-21.2702,0 -38.50295,-16.23056 -38.50295,-36.25139l0,0z\" fill=\"#ff5656\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <text fill=\"#ff0000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" font-weight=\"bold\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"74.95453\" xml:space=\"preserve\" y=\"195.88635\">1<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"22.95453\" xml:space=\"preserve\" y=\"16.88635\">7 cm<\/text> <g id=\"svg_11\" stroke=\"null\" transform=\"rotate(67.77684020996094 51.66820526123046,21.717153549194336) \"> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"51.57729\" x2=\"51.57729\" y1=\"-8.94397\" y2=\"51.3742\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(1,0,0,0.8495517402811003,-2.1607348918914795,8.234858430389151) \" x=\"48.73802\" xml:space=\"preserve\" y=\"51.77894\">v<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(-1,0,0,-0.8495517402811003,127.93014645576477,1.3998662308717227) \" x=\"71.17103\" xml:space=\"preserve\" y=\"11.99376\">v<\/text> <\/g> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> $\\dfrac{1}{5}$<\/span>","B.<\/strong> $\\dfrac{5}{2}$<\/span>","C.<\/strong> $\\dfrac{3}{5}$<\/span>","D.<\/strong> $\\dfrac{2}{5}$<\/span>"],"correct":"4","level":"2","hint":"","answer":"Hình 2 \u0111\u1ed3ng d\u1ea1ng v\u1edbi hình 1 theo t\u1ec9 s\u1ed1 là: $\\dfrac{7}{2,8}=\\dfrac{2}{5}$<\/span><\/p>Ch\u1ecdn D.<\/strong> $\\dfrac{2}{5}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-17 01:32:00","option_type":"math","len":0}]}