{"common":{"save":0,"post_id":"7584","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5611","post_id":"7584","mon_id":"1159285","chapter_id":"1159392","question":"<p>Cho t\u1ee9 di\u1ec7n ABCD&nbsp;c&oacute; G&nbsp;l&agrave; tr\u1ecdng t&acirc;m tam gi&aacute;c BCD. \u0110\u1eb7t&nbsp;<span class=\"math-tex\">$\\overrightarrow{x}=\\overrightarrow{AB}, \\overrightarrow{y}=\\overrightarrow{AC},\\overrightarrow{z}=\\overrightarrow{AD}$<\/span>.&nbsp;Kh\u1eb3ng&nbsp;\u0111\u1ecbnh n&agrave;o sau \u0111&acirc;y \u0111&uacute;ng?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\overrightarrow{AG}=\\dfrac{2}{3}(\\overrightarrow{x}+\\overrightarrow{y}+\\overrightarrow{z})$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\overrightarrow{AG}=-\\dfrac{2}{3}(\\overrightarrow{x}+\\overrightarrow{y}+\\overrightarrow{z})$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\overrightarrow{AG}=\\dfrac{1}{3}(\\overrightarrow{x}+\\overrightarrow{y}+\\overrightarrow{z})$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\overrightarrow{AG}=-\\dfrac{1}{3}(\\overrightarrow{x}+\\overrightarrow{y}+\\overrightarrow{z})$<\/span>"],"correct":"3","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$\\overrightarrow{AG}=\\dfrac{1}{3}(\\overrightarrow{x}+\\overrightarrow{y}+\\overrightarrow{z})$<\/span>.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"250\" width=\"320\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#fff\" height=\"252\" id=\"canvas_background\" width=\"322\" 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>&lt;title&gt;&lt;\/title><image height=\"215\" id=\"svg_1\" stroke=\"null\" width=\"311.00001\" x=\"3.99999\" 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\" y=\"7\"><\/image> <text fill=\"#000000\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"70.5\" xml:space=\"preserve\" y=\"15\">A<\/text> <text fill=\"#000000\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"3.5\" xml:space=\"preserve\" y=\"232\">B<\/text> <text fill=\"#000000\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"302.5\" xml:space=\"preserve\" y=\"159\">C<\/text> <text fill=\"#000000\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_5\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"66.5\" xml:space=\"preserve\" y=\"139\">D<\/text> <text fill=\"#000000\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_6\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"111.5\" xml:space=\"preserve\" y=\"174\">G<\/text> <line fill=\"none\" id=\"svg_7\" stroke=\"#bf0000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"2.5\" x1=\"89.5\" x2=\"126.5\" y1=\"14\" y2=\"160\"><\/line> <\/g> <\/svg><\/span><\/p><p>Ta c&oacute;: G l&agrave; tr\u1ecdng t&acirc;m tam gi&aacute;c BCD n&ecirc;n&nbsp;<span class=\"math-tex\">$\\overrightarrow{GB}+\\overrightarrow{GC}+\\overrightarrow{GD}=\\overrightarrow{0}$<\/span>.<\/p><p>N&ecirc;n&nbsp;<span class=\"math-tex\">$\\overrightarrow{x}+\\overrightarrow{y}+\\overrightarrow{z}=\\overrightarrow{AB}+\\overrightarrow{AC}+\\overrightarrow{AD}=3\\overrightarrow{AG}+\\overrightarrow{GB}+\\overrightarrow{GC}+\\overrightarrow{GD}=3\\overrightarrow{AG}$<\/span><\/p><p>&rArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{AG}=\\dfrac{1}{3}(\\overrightarrow{x}+\\overrightarrow{y}+\\overrightarrow{z})$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-01 06:21:38","option_type":"math","len":0},{"id":"5613","post_id":"7584","mon_id":"1159285","chapter_id":"1159392","question":"<p>Cho h&igrave;nh h\u1ed9p ABCD.A&#39;B&#39;C&#39;D&#39;&nbsp;c&oacute; t&acirc;m O. G\u1ecdi I l&agrave; t&acirc;m h&igrave;nh b&igrave;nh h&agrave;nh ABCD. \u0110\u1eb7t&nbsp;<span class=\"math-tex\">$\\overrightarrow{AC^\\prime}=\\overrightarrow{u},\\overrightarrow{CA^\\prime}=\\overrightarrow{v},\\overrightarrow{BD^\\prime}=\\overrightarrow{x},\\overrightarrow{DB^\\prime}=\\overrightarrow{y}$<\/span>. Kh\u1eb3ng \u0111\u1ecbnh n&agrave;o \u0111&uacute;ng?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$2\\overrightarrow{OI}=-\\dfrac{1}{2}(\\overrightarrow{u}+\\overrightarrow{v}+\\overrightarrow{x}+\\overrightarrow{y})$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$2\\overrightarrow{OI}=-\\dfrac{1}{4}(\\overrightarrow{u}+\\overrightarrow{v}+\\overrightarrow{x}+\\overrightarrow{y})$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$2\\overrightarrow{OI}=\\dfrac{1}{2}(\\overrightarrow{u}+\\overrightarrow{v}+\\overrightarrow{x}+\\overrightarrow{y})$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$2\\overrightarrow{OI}=\\dfrac{1}{4}(\\overrightarrow{u}+\\overrightarrow{v}+\\overrightarrow{x}+\\overrightarrow{y})$<\/span>"],"correct":"2","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><\/span><span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$2\\overrightarrow{OI}=-\\dfrac{1}{4}(\\overrightarrow{u}+\\overrightarrow{v}+\\overrightarrow{x}+\\overrightarrow{y})$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\overrightarrow{u}+\\overrightarrow{v}=\\overrightarrow{AC^\\prime}+\\overrightarrow{CA^\\prime}=(\\overrightarrow{AC}+\\overrightarrow{CC^\\prime})+(\\overrightarrow{CA}+\\overrightarrow{AA^\\prime})=2\\overrightarrow{AA^\\prime}$<\/span>&nbsp;&nbsp;<span class=\"math-tex\">$\\overrightarrow{x}+\\overrightarrow{y}=\\overrightarrow{BD^\\prime}+\\overrightarrow{DB^\\prime}=(\\overrightarrow{BD}+\\overrightarrow{DD^\\prime})+(\\overrightarrow{DB}+\\overrightarrow{BB^\\prime})=2\\overrightarrow{BB^\\prime}=2\\overrightarrow{AA^\\prime}$<\/span><\/p><p>&rArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{u}+\\overrightarrow{v}+\\overrightarrow{x}+\\overrightarrow{y}=4\\overrightarrow{AA^\\prime}=-4\\overrightarrow{A^\\prime A}=-4.2\\overrightarrow{OI}$<\/span><\/p><p>&rArr;&nbsp;<span class=\"math-tex\">$2\\overrightarrow{OI}=-\\dfrac{1}{4}(\\overrightarrow{u}+\\overrightarrow{v}+\\overrightarrow{x}+\\overrightarrow{y})$<\/span>.<\/p><p><span class=\"svgedit\"><svg height=\"240\" width=\"320\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#fff\" height=\"242\" id=\"canvas_background\" width=\"322\" 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>&lt;title&gt;&lt;\/title><image height=\"231.99999\" id=\"svg_2\" stroke=\"null\" width=\"320.00001\" x=\"1\" 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y=\"2\"><\/image> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"121.5\" x2=\"197.5\" y1=\"28\" y2=\"202\"><\/line> <line fill=\"none\" id=\"svg_4\" opacity=\"0.95\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20\" x2=\"301\" y1=\"75.25\" y2=\"157.25\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"23.5\" x2=\"301.5\" y1=\"200.25\" y2=\"33.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"194.5\" x2=\"125.5\" y1=\"81.25\" y2=\"153.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"22.5\" x2=\"299.5\" y1=\"201.25\" y2=\"157.25\"><\/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=\"200\" x2=\"127\" y1=\"207.25\" y2=\"155.25\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"157.5\" xml:space=\"preserve\" y=\"107.25\">O<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"153.5\" xml:space=\"preserve\" y=\"197.25\">I<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"160.5\" x2=\"161\" y1=\"117.25\" y2=\"178.25\"><\/line> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-01 06:33:28","option_type":"math","len":0},{"id":"5614","post_id":"7584","mon_id":"1159285","chapter_id":"1159392","question":"<p>Cho t\u1ee9 di\u1ec7n ABCD. G\u1ecdi M, N l\u1ea7n l\u01b0\u1ee3t l&agrave; trung \u0111i\u1ec3m c\u1ee7a AB v&agrave; CD. Tr&ecirc;n c&aacute;c c\u1ea1nh AD v&agrave;&nbsp;BC l\u1ea7n l\u01b0\u1ee3t l\u1ea5y c&aacute;c \u0111i\u1ec3m P, Q sao cho <span class=\"math-tex\">$3\\overrightarrow{AP}=2\\overrightarrow{AD},3\\overrightarrow{BQ}=2\\overrightarrow{BC}$<\/span>. \u0110\u1eb3ng th\u1ee9c n&agrave;o \u0111&uacute;ng?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\overrightarrow{MN}=\\dfrac{3}{4}\\overrightarrow{MP}+\\dfrac{3}{4}\\overrightarrow{MQ}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\overrightarrow{MN}=\\dfrac{1}{2}\\overrightarrow{MP}+\\dfrac{1}{2}\\overrightarrow{MQ}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\overrightarrow{MN}=\\dfrac{2}{3}\\overrightarrow{MP}+\\dfrac{2}{3}\\overrightarrow{MQ}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\overrightarrow{MN}=\\dfrac{3}{2}\\overrightarrow{MP}+\\dfrac{3}{2}\\overrightarrow{MQ}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\overrightarrow{MN}=\\dfrac{3}{4}\\overrightarrow{MP}+\\dfrac{3}{4}\\overrightarrow{MQ}$<\/span>.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"290\" width=\"290\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#fff\" height=\"292\" id=\"canvas_background\" width=\"292\" 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>&lt;title&gt;&lt;\/title><image height=\"288\" id=\"svg_1\" width=\"286\" x=\"1\" 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\" y=\"2\"><\/image> <\/g> <\/svg><\/span><\/p><p><span class=\"math-tex\">$3\\overrightarrow{AP}=2\\overrightarrow{AD}$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$3\\overrightarrow{AM}+3\\overrightarrow{MP}=2\\overrightarrow{AM}+2\\overrightarrow{MD}$<\/span><\/p><p>&hArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{AM}=2\\overrightarrow{MD}-3\\overrightarrow{MP}$<\/span>&nbsp; &nbsp;(1)<\/p><p><span class=\"math-tex\">$3\\overrightarrow{BQ}=2\\overrightarrow{BC}$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$3\\overrightarrow{BM}+3\\overrightarrow{MQ}=2\\overrightarrow{BM}+2\\overrightarrow{MC}$<\/span><\/p><p>&hArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{BM}=2\\overrightarrow{MC}-3\\overrightarrow{MQ}$<\/span>&nbsp; (2)<\/p><p>L\u1ea5y (1) c\u1ed9ng (2), v\u1ebf theo v\u1ebf suy ra&nbsp;<span style=\"color:#16a085;\"><\/span><span class=\"math-tex\">$\\overrightarrow{MN}=\\dfrac{3}{4}\\overrightarrow{MP}+\\dfrac{3}{4}\\overrightarrow{MQ}$<\/span><span style=\"color:#16a085;\">.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-01 06:51:14","option_type":"math","len":0}]}