{"common":{"save":0,"post_id":"6652","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6881","post_id":"6652","mon_id":"1158921","chapter_id":"1158939","question":"<p>Cho tam giác MNP có MN = 4 cm, NP = 6 cm. Tìm MP \u0111\u1ec3 tam giác MNP vuông \u1edf M.<\/p>","options":["<strong>A. <\/strong><span class=\"math-tex\">$MP=\\sqrt{5}$<\/span> cm","<strong>B. <\/strong><span class=\"math-tex\">$MP=2\\sqrt{5}$<\/span> cm","<strong>C. <\/strong><span class=\"math-tex\">$MP=3\\sqrt{5}$<\/span> cm","<strong>D. <\/strong><span class=\"math-tex\">$MP=20$<\/span> cm"],"correct":"2","level":"2","hint":"","answer":"<p>\u0110\u1ec3 tam giác MNP vuông \u1edf M thì <\/p><p><span class=\"math-tex\">$MN^2+MP^2=NP^2$<\/span><\/p><p>suy ra <span class=\"math-tex\">$4^2+MP^2=6^2$<\/span><\/p><p> <span class=\"math-tex\">$MP^2=6^2-4^2=20$<\/span><\/p><p> <span class=\"math-tex\">$MP=2\\sqrt{5}$<\/span> (cm)<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B. <\/strong><span class=\"math-tex\">$MP=2\\sqrt{5}$<\/span> cm<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-07 22:29:07","option_type":"math","len":0},{"id":"6882","post_id":"6652","mon_id":"1158921","chapter_id":"1158939","question":"<p>Cho tam giác MNP có MN = 4 cm, NP = 6 cm. Tìm MP \u0111\u1ec3 tam giác MNP vuông \u1edf N.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$2\\sqrt{11}$<\/span> cm","<strong>B.<\/strong> <span class=\"math-tex\">$\\sqrt{13}$<\/span> cm","<strong>C.<\/strong> <span class=\"math-tex\">$52$<\/span> cm","<strong>D.<\/strong> <span class=\"math-tex\">$2\\sqrt{13}$<\/span> cm"],"correct":"4","level":"2","hint":"","answer":"<p>\u0110\u1ec3 tam giác MNP vuông \u1edf N thì <\/p><p><span class=\"math-tex\">$MN^2+NP^2=MP^2$<\/span><\/p><p><span class=\"math-tex\">$4^2+6^2=MP^2$<\/span><\/p><p><span class=\"math-tex\">$MP^2=52$<\/span><\/p><p>suy ra <span class=\"math-tex\">$MP=2\\sqrt{13}$<\/span> cm<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D.<\/strong> <span class=\"math-tex\">$2\\sqrt{13}$<\/span> cm<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-07 22:32:28","option_type":"math","len":0},{"id":"6884","post_id":"6652","mon_id":"1158921","chapter_id":"1158939","question":"<p>Tìm \u0111\u1ed9 dài x trong hình, bi\u1ebft NP = 16 cm.<\/p><p><span class=\"svgedit\"><svg height=\"220\" width=\"230\"> <g><title><\/title><rect fill=\"#fff\" height=\"222\" id=\"canvas_background\" width=\"232\" 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_6\"> <path d=\"m34.67498,184.55093l0,-163.99999l180.99999,163.99999l-180.99999,0z\" fill=\"#aaffd4\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <rect fill=\"#fff\" fill-opacity=\"null\" height=\"15\" id=\"svg_2\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"14\" x=\"35.00001\" y=\"169.81001\"><\/rect> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"9.00001\" xml:space=\"preserve\" y=\"125.81001\">x<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"102.00001\" xml:space=\"preserve\" y=\"201.81001\">x<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"126.00001\" xml:space=\"preserve\" y=\"96.81001\">16 cm<\/text> <\/g> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"9.00001\" xml:space=\"preserve\" y=\"198.81001\">M<\/text> <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\" x=\"12.00001\" xml:space=\"preserve\" y=\"25.81\">N<\/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\" x=\"206.00001\" xml:space=\"preserve\" y=\"204.81001\">P<\/text> <\/g> <\/svg><\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x=4\\sqrt{2}$<\/span> cm","<strong>B.<\/strong> <span class=\"math-tex\">$x=5\\sqrt{2}$<\/span> cm","<strong>C.<\/strong> <span class=\"math-tex\">$x=8\\sqrt{2}$<\/span> cm","<strong>D.<\/strong> <span class=\"math-tex\">$x=8$<\/span> cm"],"correct":"3","level":"2","hint":"","answer":"<p>Vì tam giác MNP vuông \u1edf M nên theo \u0111\u1ecbnh lí Pythagore ta có: <\/p><p><span class=\"math-tex\">$MN^2+MP^2=NP^2$<\/span><\/p><p><span class=\"math-tex\">$x^2+x^2=16^2$<\/span><\/p><p><span class=\"math-tex\">$2x^2=256$<\/span><\/p><p><span class=\"math-tex\">$x^2=128$<\/span><\/p><p><span class=\"math-tex\">$x=8\\sqrt{2}$<\/span> cm<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>C.<\/strong> <span class=\"math-tex\">$x=8\\sqrt{2}$<\/span> cm<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-07 22:38:06","option_type":"math","len":0}]}