Đường trung bình của tam giác - Bài tập trung bình

Home Lớp 8 Toán lớp 8 - Sách Kết nối tri thức Bài 16 - Đường trung bình của tam giácBài tập trung bình

{"common":{"save":0,"post_id":"6581","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6210","post_id":"6581","mon_id":"1158921","chapter_id":"1158932","question":"Tính \u0111\u1ed9 dài x trong hình.<\/p><svg height=\"150\" width=\"250\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"252\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_7\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_12\"> <g id=\"svg_6\"> <g id=\"svg_4\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"15.31535\" x2=\"232.31535\" y1=\"124.52273\" y2=\"125\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"63.31535\" x2=\"14.31535\" y1=\"27.52273\" y2=\"124.52273\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"63\" x2=\"231.31535\" y1=\"28\" y2=\"124.52273\"><\/line> <\/g> <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=\"145.31535\" x2=\"120.31535\" y1=\"75.52273\" y2=\"124.52273\"><\/line> <\/g> <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=\"97.31535\" xml:space=\"preserve\" y=\"56.52273\">\/<\/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=\"179.31535\" xml:space=\"preserve\" y=\"104.52273\">\/<\/text> <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=\"57.31535\" xml:space=\"preserve\" y=\"130.52273\">ll<\/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=\"161.31535\" xml:space=\"preserve\" y=\"132.52273\">ll<\/text> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-63 122.37075805664061,96.15908813476562) \" x=\"103.31535\" xml:space=\"preserve\" y=\"102.52273\">4 cm<\/text> <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=\"22.31535\" xml:space=\"preserve\" y=\"72.52273\">x<\/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=\"52.31535\" xml:space=\"preserve\" y=\"24.52273\">A<\/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=\"1.31535\" xml:space=\"preserve\" y=\"133.52273\">B<\/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=\"235.31535\" xml:space=\"preserve\" y=\"127.52273\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"112.31535\" xml:space=\"preserve\" y=\"143.52273\">M<\/text> <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=\"146.31535\" xml:space=\"preserve\" y=\"71.52273\">N<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> 8 cm","B.<\/strong> 4 cm","C.<\/strong> 6 cm","D.<\/strong> 2 cm"],"correct":"1","level":"2","hint":"","answer":"Xét tam giác ABC có M là trung \u0111i\u1ec3m c\u1ee7a BC , N là trung \u0111i\u1ec3m c\u1ee7a AC<\/p>⇒ MN là \u0111\u01b0\u1eddng trung bình c\u1ee7a tam giác ABC.<\/p>⇒ MN = $\\dfrac{1}{2}$<\/span>AB<\/p>⇒ AB = 2MN  hay x = 2 . 4 = 8 cm.<\/p>\u0110áp án \u0111úng là   A.<\/strong> 8 cm.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-08-06 01:40:07","option_type":"txt","len":0},{"id":"6211","post_id":"6581","mon_id":"1158921","chapter_id":"1158932","question":"Tính \u0111\u1ed9 dài x trong hình.<\/p><svg height=\"180\" width=\"240\"> <g><title><\/title><rect fill=\"#fff\" height=\"182\" id=\"canvas_background\" width=\"242\" 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_15\"> <g id=\"svg_3\"> <path d=\"m16.11877,161.55824l117.50001,-138l87.5,138l-175.00001,0z\" 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=\"74.31535\" x2=\"177.31535\" y1=\"93.52273\" y2=\"94\"><\/line> <\/g> <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=\"98.31535\" xml:space=\"preserve\" y=\"68.52273\">\\<\/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=\"43.31535\" xml:space=\"preserve\" y=\"131.52273\">\\<\/text> <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=\"154.31535\" xml:space=\"preserve\" y=\"68.52273\">\/\/<\/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=\"192.31535\" xml:space=\"preserve\" y=\"130.52273\">\/\/<\/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=\"127.31535\" xml:space=\"preserve\" y=\"20.52273\">A<\/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=\"3.31535\" xml:space=\"preserve\" y=\"168.52273\">B<\/text> <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=\"222.31535\" xml:space=\"preserve\" y=\"169.52273\">C<\/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=\"56.31535\" xml:space=\"preserve\" y=\"92.52273\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"180.31535\" xml:space=\"preserve\" y=\"95.52273\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"126.31535\" xml:space=\"preserve\" y=\"87.52273\">x<\/text> <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=\"107.31535\" xml:space=\"preserve\" y=\"156.52273\">10 cm<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> 10 cm","B.<\/strong> 5 cm","C.<\/strong> 15 cm","D.<\/strong> 2,5 cm"],"correct":"2","level":"2","hint":"","answer":"Xét tam giác ABC có: M là trung \u0111i\u1ec3m c\u1ee7a AB; N là trung \u0111i\u1ec3m c\u1ee7a AC<\/p>⇒ MN là \u0111\u01b0\u1eddng trung bình c\u1ee7a tam giác ABC <\/p>⇒ MN = $\\dfrac{1}{2}$<\/span>BC  hay x = $\\dfrac{1}{2}$<\/span> . 10 = 5 cm.<\/p>\u0110áp án \u0111úng là   B.<\/strong> 5 cm.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-08-06 01:45:24","option_type":"txt","len":0},{"id":"6212","post_id":"6581","mon_id":"1158921","chapter_id":"1158932","question":"Tính \u0111\u1ed9 dài c\u1ea1nh AB c\u1ee7a tam giác ABC. Bi\u1ebft M, N, P l\u1ea7n l\u01b0\u1ee3t là trung \u0111i\u1ec3m c\u1ee7a AB, AC, BC và MN = 4 cm, NP = 3 cm, MP = 6 cm. <\/p>","options":["A.<\/strong> 3 cm","B.<\/strong> 4 cm","C.<\/strong> 8 cm","D.<\/strong> 6 cm"],"correct":"4","level":"2","hint":"","answer":"<svg height=\"160\" width=\"245\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"162\" id=\"canvas_background\" width=\"247\" 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_16\"> <g id=\"svg_3\"> <path d=\"m17.03377,135.50825l122,-116.00001l86,116.00001l-174,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <path d=\"m80.03379,134.50825l58.65385,-58.00001l41.34616,58.00001l-83.65386,0z\" fill=\"#fff\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\" transform=\"rotate(-180 130.03379821777344,105.50824737548827) \"><\/path> <\/g> <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=\"106.31535\" xml:space=\"preserve\" y=\"54.52273\">\\<\/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=\"42.31535\" xml:space=\"preserve\" y=\"114.52273\">\\<\/text> <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=\"155.31535\" xml:space=\"preserve\" y=\"54.52273\">\/\/<\/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=\"197.31535\" xml:space=\"preserve\" y=\"110.52273\">\/\/<\/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=\"63.31535\" xml:space=\"preserve\" y=\"140.52273\">x<\/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=\"168.31535\" xml:space=\"preserve\" y=\"140.52273\">x<\/text> <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=\"133.31535\" xml:space=\"preserve\" y=\"19.52273\">A<\/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=\"60.31535\" xml:space=\"preserve\" y=\"77.52273\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"183.31535\" xml:space=\"preserve\" y=\"79.52273\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"115.31535\" xml:space=\"preserve\" y=\"154.52273\">P<\/text> <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=\"2.31535\" xml:space=\"preserve\" y=\"144.52273\">B<\/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=\"229.31535\" xml:space=\"preserve\" y=\"142.52273\">C<\/text> <\/g> <\/g> <\/svg><\/span><\/p>Xét tam giác ABC có N là trung \u0111i\u1ec3m c\u1ee7a AC, P là trung \u0111i\u1ec3m c\u1ee7a BC<\/p>⇒ NP là \u0111\u01b0\u1eddng trung bình c\u1ee7a tam giác ABC <\/p>⇒ NP = $\\dfrac{1}{2}$<\/span>AB.<\/p>⇒ AB = 2NP = 2 . 3 = 6 cm.<\/p>\u0110áp án \u0111úng là   D.<\/strong> 6 cm.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-08-06 01:48:00","option_type":"txt","len":0}]}