{"common":{"save":0,"post_id":"7305","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7540","mon_id":"1158767","chapter_id":"1159257","post_id":"7305","question":"<p>Cho tam giác ABC có góc <span class=\"math-tex\">$\\widehat{A}=60^o$<\/span> và c\u1ea1nh BC = <span class=\"math-tex\">$\\sqrt{3}$<\/span>. Tính bán kính \u0111\u01b0\u1eddng tròn ngo\u1ea1i ti\u1ebfp tam giác ABC.<\/p>","options":["<strong>A. <\/strong>R = 4","<strong>B. <\/strong>R = 1","<strong>C. <\/strong>R = 2","<strong>D. <\/strong>R = 3"],"correct":"2","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B. <\/strong>R = 1<\/span><\/p><p>Ta có: <span class=\"math-tex\">$2R=\\dfrac{BC}{\\sin A}$<\/span> ⇔ <span class=\"math-tex\">$R=\\dfrac{BC}{2\\sin A}=1$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-14 06:04:14","option_type":"txt","len":0},{"id":"7542","mon_id":"1158767","chapter_id":"1159257","post_id":"7305","question":"<p>Trong m\u1eb7t ph\u1eb3ng, cho tam giác ABC có AC = 4cm, <span class=\"math-tex\">$\\widehat{A}=60^o,\\widehat{B}=45^o$<\/span>. \u0110\u1ed9 dài c\u1ea1nh BC là:<\/p>","options":["<strong>A. <\/strong><span class=\"math-tex\">$2\\sqrt{6}$<\/span>","<strong>B. <\/strong><span class=\"math-tex\">$2+2\\sqrt{3}$<\/span>","<strong>C. <\/strong><span class=\"math-tex\">$2\\sqrt{3}-2$<\/span>","<strong>D. <\/strong><span class=\"math-tex\">$\\sqrt{6}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A. <\/strong><span class=\"math-tex\">$2\\sqrt{6}$<\/span><\/span><\/p><p>Ta có: <span class=\"math-tex\">$\\dfrac{BC}{\\sin A}=\\dfrac{AC}{\\sin B}$<\/span> ⇔ <span class=\"math-tex\">$BC=\\dfrac{AC.\\sin A}{\\sin B}=\\dfrac{4.\\sin 60^o}{\\sin 45^o}=2\\sqrt{6}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-14 06:12:21","option_type":"math","len":0},{"id":"7544","mon_id":"1158767","chapter_id":"1159257","post_id":"7305","question":"<p>Ch\u1ecdn công th\u1ee9c <strong>\u0111úng <\/strong>trong các \u0111áp án sau:<\/p><p><span class=\"svgedit\"><svg height=\"200\" width=\"330\"> <g><title><\/title><rect fill=\"#fff\" height=\"202\" id=\"canvas_background\" width=\"332\" 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_8\"> <path d=\"m115.52546,29.09588l191,143l-284,-1z\" fill=\"#aad4ff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_2\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"106.89999\" xml:space=\"preserve\" y=\"25.45\">A<\/text> <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=\"1.9\" xml:space=\"preserve\" y=\"187.45\">B<\/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=\"309.89999\" xml:space=\"preserve\" y=\"183.45\">C<\/text> <text fill=\"#000000\" font-family=\"Georgia, Times, ’Times New Roman’, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"46.89999\" xml:space=\"preserve\" y=\"100.45\">c<\/text> <text fill=\"#000000\" font-family=\"Georgia, Times, ’Times New Roman’, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"205.89999\" xml:space=\"preserve\" y=\"92.45\">b<\/text> <text fill=\"#000000\" font-family=\"Georgia, Times, ’Times New Roman’, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"148.89999\" xml:space=\"preserve\" y=\"189.45\">a<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["<strong>A. <\/strong><span class=\"math-tex\">$S=\\dfrac{1}{2}bc\\sin A$<\/span>","<strong>B. <\/strong><span class=\"math-tex\">$S=\\dfrac{1}{2}ac\\sin A$<\/span>","<strong>C. <\/strong><span class=\"math-tex\">$S=\\dfrac{1}{2}bc\\sin B$<\/span>","<strong>D. <\/strong><span class=\"math-tex\">$S=\\dfrac{1}{2}bc\\cos B$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A. <\/strong><span class=\"math-tex\">$S=\\dfrac{1}{2}bc\\sin A$<\/span><\/span><\/p><p>Ta có: <span class=\"math-tex\">$S=\\dfrac{1}{2}bc\\sin A =\\dfrac{1}{2}ac\\sin B = \\dfrac{1}{2}ab\\sin C$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-14 06:17:51","option_type":"math","len":0}]}