Đường thẳng và mặt phẳng song song

Home Lớp 11 Toán lớp 11 - Sách kết nối tri thức Bài 12. Đường thẳng và mặt phẳng song song.Bài tập trung bình

{"common":{"save":0,"post_id":"7073","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5111","post_id":"7073","mon_id":"1158924","chapter_id":"1159156","question":"Cho hình chóp t\u1ee9 giác S.ABCD. G\u1ecdi M và N l\u1ea7n l\u01b0\u1ee3t là trung \u0111i\u1ec3m c\u1ee7a SA và SC. Kh\u1eb3ng \u0111\u1ecbnh nào sau \u0111ây là \u0111úng<\/strong>?<\/p>","options":["A.<\/strong> MN \/\/ mp (ABCD)","B.<\/strong> MN \/\/ mp (SAB)","C.<\/strong> MN \/\/ mp (SCD)","D.<\/strong> MN \/\/ mp (SBC)"],"correct":"1","level":"2","hint":"","answer":"Ch\u1ecdn A.<\/strong> MN \/\/ mp (ABCD)<\/span><\/p>Xét tam giác SAC có M, N l\u1ea7n l\u01b0\u1ee3t là trung \u0111i\u1ec3m c\u1ee7a SA và SC. <\/p>Suy ra MN \/\/ AC mà AC ⊂ mp (ABCD) nên MN \/\/ mp (ABCD).<\/p><svg height=\"270\" width=\"250\"> <g><title><\/title><rect fill=\"#fff\" height=\"272\" id=\"canvas_background\" width=\"252\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_1\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_21\"> <g id=\"svg_18\"> <g id=\"svg_4\"> <path d=\"m25.60549,154.90774l38.8125,80l129.375,0l38.81248,-80l-206.99998,0z\" fill=\"#fff\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-7.811066627502441 129.10546874999972,194.90774536132818) \"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#ffffff\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"3\" transform=\"rotate(-8 123.89999389648473,155.00000000000009) \" x1=\"20.89999\" x2=\"226.89999\" y1=\"155\" y2=\"155\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"104.89999\" x2=\"20.89999\" y1=\"21.44999\" y2=\"168.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"103.89999\" x2=\"70.89999\" y1=\"24.45\" y2=\"242.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"198.89999\" x2=\"103.89999\" y1=\"224.45\" y2=\"22.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"226.89999\" x2=\"102.89999\" y1=\"140.45\" y2=\"22.45\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000000\" stroke-width=\"0\" text-anchor=\"start\" x=\"83.89999\" xml:space=\"preserve\" y=\"24.45\">S<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000000\" stroke-width=\"0\" text-anchor=\"start\" x=\"1.9\" xml:space=\"preserve\" y=\"172.45\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000000\" stroke-width=\"0\" text-anchor=\"start\" x=\"59.89999\" xml:space=\"preserve\" y=\"264.44999\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000000\" stroke-width=\"0\" text-anchor=\"start\" x=\"199.89999\" xml:space=\"preserve\" y=\"244.44999\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000000\" stroke-width=\"0\" text-anchor=\"start\" x=\"227.89999\" xml:space=\"preserve\" y=\"144.45\">D<\/text> <\/g> <ellipse cx=\"60.39999\" cy=\"98.95\" fill=\"#ff0000\" id=\"svg_9\" rx=\"2\" ry=\"2\" stroke=\"#ff0000\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"151.39999\" cy=\"123.95\" fill=\"#ff0000\" id=\"svg_15\" rx=\"2\" ry=\"2\" stroke=\"#ff0000\" stroke-width=\"1.5\"><\/ellipse> <line fill=\"none\" id=\"svg_16\" stroke=\"#ff0000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"21.89999\" x2=\"197.89999\" y1=\"168.45\" y2=\"225.45\"><\/line> <line fill=\"none\" id=\"svg_17\" stroke=\"#ff0000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"57.89999\" x2=\"149.89999\" y1=\"98.45\" y2=\"124.45\"><\/line> <\/g> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_19\" stroke=\"#ff0000\" stroke-width=\"0\" text-anchor=\"start\" x=\"37.89999\" xml:space=\"preserve\" y=\"99.45\">M<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_20\" stroke=\"#ff0000\" stroke-width=\"0\" text-anchor=\"start\" x=\"155.89999\" xml:space=\"preserve\" y=\"127.45\">N<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-02-16 04:27:33","option_type":"txt","len":2},{"id":"5112","post_id":"7073","mon_id":"1158924","chapter_id":"1159156","question":"Cho hình chóp S.ABCD có \u0111áy ABCD là hình bình hành, M và N là hai \u0111i\u1ec3m trên SA, SB sao cho $\\dfrac{SM}{SA}=\\dfrac{SN}{SB}=\\dfrac{1}{3}$<\/span>. V\u1ecb trí t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa MN và (ABCD) là:<\/p>","options":["A.<\/strong> MN n\u1eb1m trên mp (ABCD) ","B.<\/strong> MN c\u1eaft mp (ABCD)","C.<\/strong> MN song song v\u1edbi mp (ABCD)","D.<\/strong> MN và mp (ABCD) chéo nhau"],"correct":"3","level":"2","hint":"","answer":"Ch\u1ecdn C.<\/strong> MN song song v\u1edbi mp (ABCD)<\/span><\/p>Theo \u0111\u1ecbnh lí Thalès, ta có $\\dfrac{SM}{SA}=\\dfrac{SN}{SB}=\\dfrac{1}{3}$<\/span>  suy ra MN song song v\u1edbi AB.<\/p>Mà AB n\u1eb1m trong m\u1eb7t ph\u1eb3ng (ABCD) nên MN \/\/ mp (ABCD).<\/p><svg height=\"300\" width=\"337\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"302\" id=\"canvas_background\" width=\"339\" 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> 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y=\"1.5\"><\/image> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-02-16 04:37:17","option_type":"txt","len":2},{"id":"5113","post_id":"7073","mon_id":"1158924","chapter_id":"1159156","question":"Cho t\u1ee9 di\u1ec7n ABCD. G\u1ecdi G là tr\u1ecdng tâm tam giác ABD. \u0110i\u1ec3m Q thu\u1ed9c c\u1ea1nh AB sao cho AQ = 2QB. \u0110i\u1ec3m P là trung \u0111i\u1ec3m c\u1ee7a AB. Kh\u1eb3ng \u0111\u1ecbnh nào sau \u0111ây là \u0111úng<\/strong>?<\/p>","options":["A.<\/strong> MN \/\/ (BCD)","B.<\/strong> GQ \/\/ (BCD)","C.<\/strong> MN c\u1eaft (BCD)","D.<\/strong> Q ∈ (CDP)"],"correct":"2","level":"2","hint":"","answer":"Ch\u1ecdn B.<\/strong> GQ \/\/ (BCD)<\/span><\/p>G\u1ecdi M là trung \u0111i\u1ec3m c\u1ee7a BD.<\/p>Vì G là tr\u1ecdng tâm tam giác ABD nên $\\dfrac{AG}{AM}=\\dfrac{2}{3}$<\/span><\/p>\u0110i\u1ec3m Q  thu\u1ed9c c\u1ea1nh AB sao cho AQ = 2QB, suy ra $\\dfrac{AQ}{AB}=\\dfrac{2}{3}$<\/span>. Suy ra $\\dfrac{AG}{AM}=\\dfrac{AQ}{AB}=\\dfrac{2}{3}$<\/span> nên GQ \/\/ BD (theo \u0111\u1ecbnh lí Thalès).<\/p>M\u1eb7t khác BD n\u1eb1m trong m\u1eb7t ph\u1eb3ng (BCD), suy ra GQ \/\/ (BCD).<\/p>   <svg height=\"300\" width=\"360\"> <g> <title><\/title> <rect fill=\"#d4ffaa\" height=\"302\" id=\"canvas_background\" width=\"362\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_1\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <g id=\"svg_2\" stroke=\"null\"> <path d=\"m241.33017,287.17586l85.28033,-89l-289.95311,1l204.67278,88z\" fill=\"#fff\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path d=\"m166.72341,21.17585l159.88708,176.19101l-291.88708,1.80899l132,-178z\" fill=\"#fff\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#ffffff\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"3\" x1=\"40\" x2=\"325.85309\" y1=\"198\" y2=\"198.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"166.24632\" x2=\"241.63877\" y1=\"21.44998\" y2=\"287.44999\"><\/line> <\/g> <line fill=\"none\" id=\"svg_5\" stroke=\"#0000bf\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"164.89999\" x2=\"181.89999\" y1=\"19.45\" y2=\"198.45\"><\/line> <line fill=\"none\" id=\"svg_7\" stroke=\"#0000bf\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"326.89999\" x2=\"97.89999\" y1=\"197.45\" y2=\"113.45\"><\/line> <line fill=\"none\" id=\"svg_9\" stroke=\"#ff0000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"2\" x1=\"175.89999\" x2=\"75.89999\" y1=\"142.45\" y2=\"142.45\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#0000bf\" stroke-width=\"0\" text-anchor=\"start\" x=\"143.89999\" xml:space=\"preserve\" y=\"19.45\">A<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#0000bf\" stroke-width=\"0\" text-anchor=\"start\" x=\"18.9\" xml:space=\"preserve\" y=\"210.45\">B<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#0000bf\" stroke-width=\"0\" text-anchor=\"start\" x=\"252.89999\" xml:space=\"preserve\" y=\"295.44999\">C<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#0000bf\" stroke-width=\"0\" text-anchor=\"start\" x=\"335.89999\" xml:space=\"preserve\" y=\"204.45\">D<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#0000bf\" stroke-width=\"0\" text-anchor=\"start\" x=\"153.89999\" xml:space=\"preserve\" y=\"164.45\">G<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_15\" stroke=\"#0000bf\" stroke-width=\"0\" text-anchor=\"start\" x=\"81.89999\" xml:space=\"preserve\" y=\"116.45\">P<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_16\" stroke=\"#0000bf\" stroke-width=\"0\" text-anchor=\"start\" x=\"51.89999\" xml:space=\"preserve\" y=\"148.45\">Q<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_17\" stroke=\"#0000bf\" stroke-width=\"0\" text-anchor=\"start\" x=\"166.89999\" xml:space=\"preserve\" y=\"223.45\">M<\/text> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-02-16 04:41:50","option_type":"txt","len":2}]}