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{"save":1,"level":1,"time":"90","total":34,"point":5,"segment":[{"id":"3521","test_id":"481","question":"<p>Cho hình chóp S.ABCD có \u0111áy ABCD là m\u1ed9t hình ch\u1eef nh\u1eadt và SA <span class=\"math-tex\">$\\perp$<\/span> (ABCD). Kho\u1ea3ng cách t\u1eeb \u0111i\u1ec3m D \u0111\u1ebfn m\u1eb7t ph\u1eb3ng (SAB) b\u1eb1ng:<\/p>","options":["<strong>A.<\/strong> <em>SA<\/em>","<strong>B.<\/strong> <em>BD<\/em>","<strong>C.<\/strong> <em>DA<\/em>","<strong>D.<\/strong> <em>SD<\/em>"],"correct":"3","answer":"<p>\u0110áp án \u0111úng : <strong><span style=\"color:#16a085;\"><em>C. DA.<\/em><\/span><\/strong><\/p><p><em><span class=\"svgedit\"><svg height=\"190\" width=\"220\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"192\" 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_14\"> <g id=\"svg_8\"> <path d=\"m24.95334,171.43l34.60005,-57.99979l138.40018,0l-34.60005,57.99979l-138.40018,0z\" 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=\"59\" x2=\"59.3\" y1=\"22.65\" y2=\"112.65\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"57.3\" x2=\"197.29999\" y1=\"22.65\" y2=\"112.65\"><\/line> <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=\"58.29999\" x2=\"24.3\" y1=\"22.65\" y2=\"170.64999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#ffffff\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"2.5\" x1=\"57.3\" x2=\"29.3\" y1=\"116.65\" y2=\"163.64999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#ffffff\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"2.5\" x1=\"186.29999\" x2=\"72.3\" y1=\"112.65\" y2=\"112.65\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"163.29999\" x2=\"58.3\" y1=\"171.64999\" y2=\"22.65\"><\/line> <\/g> <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=\"41.3\" xml:space=\"preserve\" y=\"20.65\">S<\/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=\"61.3\" xml:space=\"preserve\" y=\"109.65\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"200.29999\" xml:space=\"preserve\" y=\"111.65\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"165.29999\" xml:space=\"preserve\" y=\"184.64999\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"6.3\" xml:space=\"preserve\" y=\"188.64999\">D<\/text> <\/g> <\/g> <\/svg><\/span><\/em><\/p><p>Ta có: DA <span class=\"math-tex\">$\\bot$<\/span> SA (vì SA <span class=\"math-tex\">$\\bot$<\/span> (ABCD)); DA <span class=\"math-tex\">$\\bot$<\/span> AB (vì ABCD là hình ch\u1eef nh\u1eadt)<\/p><p>Suy ra DA <span class=\"math-tex\">$\\bot$<\/span> (SAB) t\u1ea1i A.<\/p><p>Suy ra kho\u1ea3ng cách t\u1eeb \u0111i\u1ec3m D \u0111\u1ebfn m\u1eb7t ph\u1eb3ng (SAB) b\u1eb1ng \u0111\u1ed9 dài \u0111o\u1ea1n th\u1eb3ng DA.<\/p>","type":"choose","user_id":"156","test":"3","date":"2025-04-23 15:08:22"},{"id":"3522","test_id":"481","question":"<p>Di\u1ec7n tích hình ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi \u0111\u1ed3 th\u1ecb c\u1ee7a các hàm s\u1ed1 <span class=\"math-tex\">$y= sinx$<\/span>, <span class=\"math-tex\">$y=cosx$<\/span> và các \u0111\u01b0\u1eddng th\u1eb3ng <span class=\"math-tex\">$x=0$<\/span>, <span class=\"math-tex\">$x=\\pi $<\/span> \u0111\u01b0\u1ee3c tính b\u1eb1ng công th\u1ee9c: <\/p>","options":["<strong>A.<\/strong> S = <span class=\"math-tex\">$\\int_0^\\pi \\ (-sinx + cosx)dx$<\/span>","<strong>B.<\/strong> S = <span class=\"math-tex\">$\\int_0^\\pi |sinx - cosx|dx$<\/span>","<strong>C.<\/strong> S = <span class=\"math-tex\">$\\int_0^\\pi (sinx- cosx)dx$<\/span>","<strong>D.<\/strong> S = <span class=\"math-tex\">$\\int_0^\\pi ( sinx + cosx)dx$<\/span>"],"correct":"2","answer":"<p>\u0110áp án \u0111úng : <span style=\"color:#16a085;\"><strong>B. <span class=\"math-tex\">$S= \\int_0^\\pi |sinx - cosx|dx$<\/span>.<\/strong><\/span><\/p><p>Di\u1ec7n tích hình ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi \u0111\u1ed3 th\u1ecb c\u1ee7a các hàm s\u1ed1 <span class=\"math-tex\">$y=f(x)$<\/span>, <span class=\"math-tex\">$y=g(x)$<\/span> liên t\u1ee5c trên \u0111o\u1ea1n <span class=\"math-tex\">$[a;b]$<\/span> và hai \u0111\u01b0\u1eddng th\u1eb3ng <span class=\"math-tex\">$x=a$<\/span>, <span class=\"math-tex\">$x=b$<\/span> \u0111\u01b0\u1ee3c tính theo công th\u1ee9c: <span class=\"math-tex\">$S=\\displaystyle\\int\\limits_{a}^{b}|f(x)-g(x)|dx$<\/span>.<\/p>","type":"choose","user_id":"156","test":"3","date":"2025-04-23 15:35:13"}]}