{"common":{"save":0,"post_id":"7116","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5513","post_id":"7116","mon_id":"1158924","chapter_id":"1159174","question":"<p>Cho hình l\u1eadp ph\u01b0\u01a1ng ABCD.A'B'C'D' có c\u1ea1nh a. G\u1ecdi M là trung \u0111i\u1ec3m c\u1ee7a DD'. Tính cosin c\u1ee7a góc gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng B'C và C'M.<\/p><p><span class=\"svgedit\"><svg height=\"250\" width=\"250\"> <g><title><\/title><rect fill=\"#fff\" height=\"252\" id=\"canvas_background\" width=\"252\" 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><line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"218.5\" y1=\"26.25\" y2=\"26\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"218.5\" y1=\"164.25\" y2=\"164\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"30.5\" x2=\"178.5\" y1=\"69.25\" y2=\"69\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"30.5\" x2=\"178.5\" y1=\"207.25\" y2=\"207\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"31.5\" y1=\"26.25\" y2=\"68.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"217.5\" x2=\"178.5\" y1=\"26.25\" y2=\"68.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"31.5\" y1=\"164.25\" y2=\"206.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"217.5\" x2=\"178.5\" y1=\"164.25\" y2=\"206.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"70.5\" y1=\"26.25\" y2=\"164.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"217.5\" x2=\"217.5\" y1=\"26.25\" y2=\"164.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"31.5\" x2=\"31.5\" y1=\"70.25\" y2=\"208.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_13\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"178.5\" x2=\"178.5\" y1=\"70.25\" y2=\"208.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_14\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"177.5\" x2=\"34.5\" y1=\"69.25\" y2=\"206.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"217.5\" x2=\"177.5\" y1=\"99.25\" y2=\"208.25\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"normal\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"51.5\" xml:space=\"preserve\" y=\"23.25\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"8.5\" xml:space=\"preserve\" y=\"74.25\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"181.5\" xml:space=\"preserve\" y=\"79.25\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"218.5\" xml:space=\"preserve\" y=\"22.25\">D<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"47.5\" xml:space=\"preserve\" y=\"163.25\">A'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_21\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"11.5\" xml:space=\"preserve\" y=\"217.25\">B'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"175.5\" xml:space=\"preserve\" y=\"224.25\">C'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_23\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"219.5\" xml:space=\"preserve\" y=\"167.25\">D'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_24\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"222.5\" xml:space=\"preserve\" y=\"102.25\">M<\/text> <\/g> <\/svg><\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{2\\sqrt{2}}{9}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{\\sqrt{10}}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{\\sqrt{3}}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{3}$<\/span>"],"correct":"2","level":"3","hint":"","answer":"<p><span class=\"svgedit\"><svg height=\"270\" width=\"300\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"272\" id=\"canvas_background\" width=\"302\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_2\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <g id=\"svg_25\"> <path d=\"m27.51999,86.95408l47.80001,-54l191.2,0l-47.80001,54l-191.2,0z\" fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <path d=\"m27.51999,245.95408l47.80001,-54l191.2,0l-47.8,54l-191.20001,0z\" fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"27\" x2=\"27\" y1=\"86.85\" y2=\"247.84999\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"75\" x2=\"75\" y1=\"32.85\" y2=\"193.84999\"><\/line> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"218\" x2=\"218\" y1=\"85.85\" y2=\"246.84999\"><\/line> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"267\" x2=\"267\" y1=\"31.85\" y2=\"192.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#ffffff\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"2\" x1=\"80\" x2=\"251.99999\" y1=\"191.84999\" y2=\"191.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#ff0000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"265.99999\" x2=\"217.99999\" y1=\"120.84999\" y2=\"246.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#ff0000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"217.99999\" x2=\"29\" y1=\"86.85\" y2=\"244.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#ffffff\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"2\" x1=\"72\" x2=\"33\" y1=\"195.84999\" y2=\"238.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#ff0000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"75.99999\" x2=\"27.99999\" y1=\"119.84999\" y2=\"245.84999\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"62\" xml:space=\"preserve\" y=\"22.85\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_15\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"265.99999\" xml:space=\"preserve\" y=\"22.85\">D<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_16\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"206.99999\" xml:space=\"preserve\" y=\"82.84999\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_17\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"4\" xml:space=\"preserve\" y=\"84.84999\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_18\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"1\" xml:space=\"preserve\" y=\"258.84999\">B'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_19\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"80\" xml:space=\"preserve\" y=\"182.84999\">A'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_20\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"274.99999\" xml:space=\"preserve\" y=\"198.84999\">D'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_21\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"220.99999\" xml:space=\"preserve\" y=\"263.84999\">C'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_22\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"272.99999\" xml:space=\"preserve\" y=\"126.84999\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_23\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"52\" xml:space=\"preserve\" y=\"128.84999\">N<\/text> <text fill=\"#ff0000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_24\" stroke=\"#ff0000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-51.92430877685547 52.99529647827145,205.5919952392578) matrix(1.1907789296223967,0,0,1.1521461094077823,-39.32043934059614,-48.692127473259845) \" x=\"73.52998\" xml:space=\"preserve\" y=\"229.23993\">)<\/text> <\/g> <\/g> <\/svg><\/span><\/p><p>K\u1ebb B'N song song v\u1edbi C'M (N là trung \u0111i\u1ec3m c\u1ee7a AA').<\/p><p>Ta \u0111\u01b0\u1ee3c (B'C, C'M) = (B'C, B'N) = <span class=\"math-tex\">$\\widehat{NBC}$<\/span>.<\/p><p>Ta có B'C = <span class=\"math-tex\">$\\sqrt{BB^{\\prime2}+BC^2}=a\\sqrt{2}$<\/span>, B'N = <span class=\"math-tex\">$\\sqrt{A^\\prime B^{\\prime2}+A^\\prime N^2}=\\dfrac{a\\sqrt{5}}{2}$<\/span>.<\/p><p>CN = <span class=\"math-tex\">$\\sqrt{AN^2+AC^2}=\\dfrac{3a}{2}$<\/span>.<\/p><p>Áp d\u1ee5ng \u0111\u1ecbnh lí hàm s\u1ed1 Cosin trong tam giác B'NC, ta có<\/p><p><span class=\"math-tex\">$\\cos\\widehat{NB^\\prime C}=\\dfrac{B^\\prime N^2+B^\\prime C^2-NC^2}{2.B^\\prime N.B^\\prime C}=\\dfrac{1}{\\sqrt{10}}$<\/span>.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{\\sqrt{10}}$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-21 02:59:53","option_type":"math","len":0},{"id":"5550","post_id":"7116","mon_id":"1158924","chapter_id":"1159174","question":"<p>Cho hình l\u1eadp ph\u01b0\u01a1ng ABCD. A'B'C'D', g\u1ecdi M là trung \u0111i\u1ec3m c\u1ee7a B'C'. Góc gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng AM và BC' b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> 45°","<strong>B.<\/strong> 90°","<strong>C.<\/strong> 30°","<strong>D.<\/strong> 60°"],"correct":"1","level":"3","hint":"","answer":"<p><span class=\"svgedit\"><svg height=\"270\" width=\"280\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"272\" id=\"canvas_background\" width=\"282\" 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> <image height=\"254\" id=\"svg_1\" width=\"267\" x=\"0.5\" 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y=\"3\"><\/image> <\/g> <\/svg><\/span><\/p><p>Gi\u1ea3 s\u1eed c\u1ea1nh c\u1ee7a hình l\u1eadp ph\u01b0\u01a1ng là a > 0.<\/p><p>G\u1ecdi N là trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng BB'. Khi \u0111ó MN \/\/ BC' nên (AM, BC') = (AM. MN).<\/p><p>Xét tam giác A'B'M vuông t\u1ea1i B', ta có<\/p><p>A'M = <span class=\"math-tex\">$\\sqrt{A^\\prime B^{\\prime2}+B^\\prime M^2}$<\/span> = <span class=\"math-tex\">$\\sqrt{a^2+\\dfrac{a^2}{4}}=\\dfrac{a\\sqrt{5}}{2}$<\/span>.<\/p><p>Xét tam giác AA'M vuông t\u1ea1i A', ta có<\/p><p>AM = <span class=\"math-tex\">$\\sqrt{AA^{\\prime2}+A^\\prime M^2}$<\/span> = <span class=\"math-tex\">$\\sqrt{a^2+\\dfrac{5a^2}{4}}=\\dfrac{3a}{2}$<\/span>.<\/p><p>Có AN = A'M = <span class=\"math-tex\">$\\dfrac{a\\sqrt{5}}{2}$<\/span> ; MN <span class=\"math-tex\">$\\dfrac{BC^\\prime}{2}=\\dfrac{a\\sqrt{2}}{2}$<\/span>.<\/p><p>Trong tam giác AMN, ta có<\/p><p><span class=\"math-tex\">$\\cos\\widehat{AMN}=\\dfrac{MA^2+MN^2-AN^2}{2.MA.MN}=\\dfrac{\\dfrac{9a^2}{4}+\\dfrac{2a^2}{4}-\\dfrac{5a^2}{4}}{2.\\dfrac{3a}{2}.\\dfrac{a\\sqrt{2}}{2}}=\\dfrac{1}{\\sqrt{2}}$<\/span> .<\/p><p>Suy ra <span class=\"math-tex\">$\\widehat{AMN}=45^0$<\/span> .<\/p><p>V\u1eady (AM, BC') = (AM, MN) = <span class=\"math-tex\">$\\widehat{AMN}=45^0$<\/span>.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> 45°.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-01 04:21:48","option_type":"txt","len":0},{"id":"5551","post_id":"7116","mon_id":"1158924","chapter_id":"1159174","question":"<p>Cho hình l\u1eadp ph\u01b0\u01a1ng ABCD.A'B'C'D'. G\u1ecdi M là trung \u0111i\u1ec3m c\u1ee7a DD'. S\u1ed1 \u0111o góc t\u1ea1o b\u1edfi \u0111\u01b0\u1eddng th\u1eb3ng B'C và C'M g\u1ea7n v\u1edbi s\u1ed1 nào sau \u0111ây nh\u1ea5t?<\/p><p><span class=\"svgedit\"><svg height=\"250\" width=\"250\"> <g><title><\/title><rect fill=\"#fff\" height=\"252\" id=\"canvas_background\" width=\"252\" 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><line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"218.5\" y1=\"26.25\" y2=\"26\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"218.5\" y1=\"164.25\" y2=\"164\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"30.5\" x2=\"178.5\" y1=\"69.25\" y2=\"69\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"30.5\" x2=\"178.5\" y1=\"207.25\" y2=\"207\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"31.5\" y1=\"26.25\" y2=\"68.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"217.5\" x2=\"178.5\" y1=\"26.25\" y2=\"68.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"31.5\" y1=\"164.25\" y2=\"206.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"217.5\" x2=\"178.5\" y1=\"164.25\" y2=\"206.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"70.5\" x2=\"70.5\" y1=\"26.25\" y2=\"164.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"217.5\" x2=\"217.5\" y1=\"26.25\" y2=\"164.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"31.5\" x2=\"31.5\" y1=\"70.25\" y2=\"208.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_13\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"178.5\" x2=\"178.5\" y1=\"70.25\" y2=\"208.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_14\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"177.5\" x2=\"34.5\" y1=\"69.25\" y2=\"206.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"217.5\" x2=\"177.5\" y1=\"99.25\" y2=\"208.25\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"normal\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"51.5\" xml:space=\"preserve\" y=\"23.25\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"8.5\" xml:space=\"preserve\" y=\"74.25\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"181.5\" xml:space=\"preserve\" y=\"79.25\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"218.5\" xml:space=\"preserve\" y=\"22.25\">D<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"47.5\" xml:space=\"preserve\" y=\"163.25\">A'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_21\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"11.5\" xml:space=\"preserve\" y=\"217.25\">B'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"175.5\" xml:space=\"preserve\" y=\"224.25\">C'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_23\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"219.5\" xml:space=\"preserve\" y=\"167.25\">D'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_24\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"222.5\" xml:space=\"preserve\" y=\"102.25\">M<\/text> <\/g> <\/svg><\/span><\/p>","options":["<strong>A.<\/strong> 71,6°","<strong>B.<\/strong> 72,6°","<strong>C.<\/strong> 70,6°","<strong>D.<\/strong> 73,6°"],"correct":"1","level":"3","hint":"","answer":"<p><span class=\"svgedit\"><svg height=\"270\" width=\"300\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"272\" id=\"canvas_background\" width=\"302\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_2\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <g id=\"svg_25\"> <path d=\"m27.51999,86.95408l47.80001,-54l191.2,0l-47.80001,54l-191.2,0z\" fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <path d=\"m27.51999,245.95408l47.80001,-54l191.2,0l-47.8,54l-191.20001,0z\" fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"27\" x2=\"27\" y1=\"86.85\" y2=\"247.84999\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"75\" x2=\"75\" y1=\"32.85\" y2=\"193.84999\"><\/line> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"218\" x2=\"218\" y1=\"85.85\" y2=\"246.84999\"><\/line> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"267\" x2=\"267\" y1=\"31.85\" y2=\"192.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#ffffff\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"2\" x1=\"80\" x2=\"251.99999\" y1=\"191.84999\" y2=\"191.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#ff0000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"265.99999\" x2=\"217.99999\" y1=\"120.84999\" y2=\"246.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#ff0000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"217.99999\" x2=\"29\" y1=\"86.85\" y2=\"244.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#ffffff\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"2\" x1=\"72\" x2=\"33\" y1=\"195.84999\" y2=\"238.84999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#ff0000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"75.99999\" x2=\"27.99999\" y1=\"119.84999\" y2=\"245.84999\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"62\" xml:space=\"preserve\" y=\"22.85\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_15\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"265.99999\" xml:space=\"preserve\" y=\"22.85\">D<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_16\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"206.99999\" xml:space=\"preserve\" y=\"82.84999\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_17\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"4\" xml:space=\"preserve\" y=\"84.84999\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_18\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"1\" xml:space=\"preserve\" y=\"258.84999\">B'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_19\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"80\" xml:space=\"preserve\" y=\"182.84999\">A'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_20\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"274.99999\" xml:space=\"preserve\" y=\"198.84999\">D'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_21\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"220.99999\" xml:space=\"preserve\" y=\"263.84999\">C'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_22\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"272.99999\" xml:space=\"preserve\" y=\"126.84999\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_23\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"52\" xml:space=\"preserve\" y=\"128.84999\">N<\/text> <text fill=\"#ff0000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_24\" stroke=\"#ff0000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-51.92430877685547 52.99529647827145,205.5919952392578) matrix(1.1907789296223967,0,0,1.1521461094077823,-39.32043934059614,-48.692127473259845) \" x=\"73.52998\" xml:space=\"preserve\" y=\"229.23993\">)<\/text> <\/g> <\/g> <\/svg><\/span><\/p><p>K\u1ebb B'N song song v\u1edbi C'M (N là trung \u0111i\u1ec3m c\u1ee7a AA').<\/p><p>Ta \u0111\u01b0\u1ee3c (B'C, C'M) = (B'C, B'N) = <span class=\"math-tex\">$\\widehat{NBC}$<\/span>.<\/p><p>Ta có B'C = <span class=\"math-tex\">$\\sqrt{BB^{\\prime2}+BC^2}=a\\sqrt{2}$<\/span>, B'N = <span class=\"math-tex\">$\\sqrt{A^\\prime B^{\\prime2}+A^\\prime N^2}=\\dfrac{a\\sqrt{5}}{2}$<\/span>.<\/p><p>CN = <span class=\"math-tex\">$\\sqrt{AN^2+AC^2}=\\dfrac{3a}{2}$<\/span>.<\/p><p>Áp d\u1ee5ng \u0111\u1ecbnh lí hàm s\u1ed1 Cosin trong tam giác B'NC, ta có<\/p><p><span class=\"math-tex\">$\\cos\\widehat{NB^\\prime C}=\\dfrac{B^\\prime N^2+B^\\prime C^2-NC^2}{2.B^\\prime N.B^\\prime C}=\\dfrac{1}{\\sqrt{10}}$<\/span>.<\/p><p>Suy ra <span class=\"math-tex\">$\\widehat{NB^\\prime C} \\approx71,6^0$<\/span>. T\u1ee9c là (B'C, C'M) <span class=\"math-tex\">$\\approx$<\/span> 71,6°.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> 71,6°.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-05-01 04:26:36","option_type":"txt","len":1}]}