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HomeLớp 12Toán lớp 12 - Sách Kết nối tri thứcBài 6. Vectơ trong không gianBài tập nâng cao
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G&oacute;c h\u1ee3p b\u1edfi hai vect\u01a1&nbsp;<span class=\"math-tex\">$\\overrightarrow{BC}$<\/span>&nbsp;v&agrave; <span class=\"math-tex\">$\\overrightarrow{OM}$<\/span>&nbsp;b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> 120&deg;","<strong>B.<\/strong> 150&deg;","<strong>C.<\/strong> 135&deg;","<strong>D.<\/strong> 60&deg;"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong> 120&deg;.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"265\" width=\"250\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#fff\" height=\"267\" 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>&lt;title&gt;&lt;\/title><image height=\"260.99999\" 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\" y=\"1.50001\"><\/image> <\/g> <\/svg><\/span><\/p><p>G\u1ecdi I l&agrave; trung \u0111i\u1ec3m c\u1ee7a AC. G&oacute;c h\u1ee3p b\u1edfi hai v&eacute;c t\u01a1 <span class=\"math-tex\">$\\overrightarrow{BC}$<\/span>&nbsp;v&agrave; <span class=\"math-tex\">$\\overrightarrow{OM}$<\/span>&nbsp;b\u1eb1ng 180&deg; tr\u1eeb \u0111i g&oacute;c t\u1ea1o b\u1edfi hai vect\u01a1 <span class=\"math-tex\">$\\overrightarrow{MI}$<\/span>&nbsp;v&agrave; <span class=\"math-tex\">$\\overrightarrow{MO}$<\/span>.<\/p><p>Ta c&oacute; BC =&nbsp;<span class=\"math-tex\">$a\\sqrt{2}$<\/span>&nbsp;; MI =&nbsp;<span class=\"math-tex\">$\\dfrac{BC}{2}=\\dfrac{a\\sqrt{2}}{2}$<\/span>.<\/p><p>Tam gi&aacute;c OAB vu&ocirc;ng c&acirc;n t\u1ea1i O n&ecirc;n OM =&nbsp;<span class=\"math-tex\">$\\dfrac{a\\sqrt{2}}{2}$<\/span>.<\/p><p>Tam gi&aacute;c OAC vu&ocirc;ng c&acirc;n t\u1ea1i O n&ecirc;n OI =&nbsp;<span class=\"math-tex\">$\\dfrac{a\\sqrt{2}}{2}$<\/span>.<\/p><p>Suy ra g&oacute;c t\u1ea1o b\u1edfi hai v&eacute;c t\u01a1 <span class=\"math-tex\">$\\overrightarrow{MI}$<\/span>&nbsp;v&agrave; <span class=\"math-tex\">$\\overrightarrow{MO}$<\/span>&nbsp;b\u1eb1ng 60&deg;.<\/p><p>Suy ra g&oacute;c h\u1ee3p b\u1edfi hai v&eacute;c t\u01a1 <span class=\"math-tex\">$\\overrightarrow{BC}$<\/span>&nbsp;v&agrave; <span class=\"math-tex\">$\\overrightarrow{OM}$<\/span>&nbsp;b\u1eb1ng 120&deg;.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-02 01:11:16","option_type":"txt","len":1},{"id":"5625","post_id":"7586","mon_id":"1159285","chapter_id":"1159392","question":"<p>Cho h&igrave;nh ch&oacute;p S.ABC, m\u1eb7t ph\u1eb3ng (&alpha;)&nbsp;c\u1eaft c&aacute;c tia SA, SB, SC, SG&nbsp;(v\u1edbi&nbsp;G&nbsp;l&agrave; tr\u1ecdng&nbsp;t&acirc;m tam gi&aacute;c&nbsp;ABC) l\u1ea7n l\u01b0\u1ee3t t\u1ea1i c&aacute;c \u0111i\u1ec3m A&#39;, B&#39;, C&#39;, G&#39;. Ta c&oacute; <span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}+\\dfrac{SB}{SB^\\prime}+\\dfrac{SC}{SC^\\prime}=k\\dfrac{SG}{SG^\\prime}$<\/span>. H\u1ecfi&nbsp;k b\u1eb1ng bao nhi&ecirc;u?<\/p>","options":["<strong>A.<\/strong> 3","<strong>B.<\/strong> 4","<strong>C.<\/strong> 2","<strong>D.<\/strong> 1"],"correct":"1","level":"3","hint":"<p>Cho h&igrave;nh ch&oacute;p S.ABC, m\u1eb7t ph\u1eb3ng (&alpha;)&nbsp;c\u1eaft c&aacute;c tia SA, SB, SC, SM&nbsp;(v\u1edbi&nbsp;M&nbsp;l&agrave; \u0111i\u1ec3m thu\u1ed9c mi\u1ec1n trong&nbsp;tam gi&aacute;c&nbsp;ABC) l\u1ea7n l\u01b0\u1ee3t t\u1ea1i c&aacute;c \u0111i\u1ec3m A&#39;, B&#39;, C&#39;, M&#39;.&nbsp;<\/p><p>Ch\u1ee9ng minh&nbsp;<span class=\"math-tex\">$\\dfrac{S_{_{\\Delta MBC}}SA}{SA^\\prime}+ \\dfrac{S_{_{\\Delta MAC}}SB}{SB^\\prime}+ \\dfrac{S_{_{\\Delta MAB}}SC}{SC^\\prime} =\\dfrac{S_{_{\\Delta ABC}}SM}{SM^\\prime}$<\/span><\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;3<\/span><\/p><p>Do G&nbsp;l&agrave; tr\u1ecdng t&acirc;m c\u1ee7a &Delta;ABC n&ecirc;n&nbsp;<span class=\"math-tex\">$\\overrightarrow{GA}+\\overrightarrow{GB}+\\overrightarrow{GC}=\\overrightarrow{0}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$3\\overrightarrow{SG}=\\overrightarrow{SA}+\\overrightarrow{SB}+\\overrightarrow{SC}$<\/span><\/p><p>&hArr;&nbsp;<span class=\"math-tex\">$3\\dfrac{SG}{SG^\\prime}\\overrightarrow{SG^\\prime}=\\dfrac{SA}{SA^\\prime}\\overrightarrow{SA^\\prime}+\\dfrac{SB}{SB^\\prime}\\overrightarrow{SB^\\prime}+\\dfrac{SC}{SC^\\prime}\\overrightarrow{SC^\\prime}$<\/span><\/p><p>M\u1eb7t kh&aacute;c A&#39;, B&#39;, C&#39; v&agrave; G&#39; \u0111\u1ed3ng ph\u1eb3ng n&ecirc;n&nbsp;<span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}+\\dfrac{SB}{SB^\\prime}+\\dfrac{SC}{SC^\\prime}=3\\dfrac{SG}{SG^\\prime}$<\/span>.<\/p><p>V\u1eady k = 3.<\/p><p><span class=\"svgedit\"><svg height=\"226\" width=\"218\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"#fff\" height=\"228\" id=\"canvas_background\" width=\"220\" 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\" y=\"1\"><\/image> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"sheep","user_id":"131","test":"0","date":"2024-09-02 01:16:17","option_type":"txt","len":0},{"id":"5626","post_id":"7586","mon_id":"1159285","chapter_id":"1159392","question":"<p>Cho h&igrave;nh ch&oacute;p S.ABCD&nbsp;c&oacute; \u0111&aacute;y ABCD&nbsp;l&agrave; h&igrave;nh b&igrave;nh h&agrave;nh. M\u1ed9t m\u1eb7t ph\u1eb3ng (&alpha;)&nbsp;c\u1eaft c&aacute;c c\u1ea1nh SA, SB, SC, SD&nbsp;l\u1ea7n l\u01b0\u1ee3t t\u1ea1i A&#39;, B&#39;, C&#39;, D&#39;. \u0110\u1eb3ng th\u1ee9c n&agrave;o sau \u0111&acirc;y <strong>\u0111&uacute;ng<\/strong>?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}+2\\dfrac{SC}{SC^\\prime}=\\dfrac{SB}{SB^\\prime}+2\\dfrac{SD}{SD^\\prime}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}+\\dfrac{SC}{2SC^\\prime}=\\dfrac{SB}{SB^\\prime}+\\dfrac{SD}{2SD^\\prime}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}+\\dfrac{SC}{SC^\\prime}=\\dfrac{SB}{SB^\\prime}+\\dfrac{SD}{SD^\\prime}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}-\\dfrac{SC}{SC^\\prime}=\\dfrac{SB}{SB^\\prime}-\\dfrac{SD}{SD^\\prime}$<\/span>"],"correct":"3","level":"3","hint":"<p>S\u1eed d\u1ee5ng ph&eacute;p c\u1ed9ng vect\u01a1.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}+\\dfrac{SC}{SC^\\prime}=\\dfrac{SB}{SB^\\prime}+\\dfrac{SD}{SD^\\prime}$<\/span><\/span><\/p><p>G\u1ecdi O&nbsp;l&agrave; t&acirc;m c\u1ee7a h&igrave;nh b&igrave;nh h&agrave;nh ABCD&nbsp;th&igrave;&nbsp;<span class=\"math-tex\">$\\overrightarrow{SA}+\\overrightarrow{SC}=\\overrightarrow{SB}+\\overrightarrow{SD}=2\\overrightarrow{SO}$<\/span><\/p><p>&hArr;&nbsp;<span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}\\overrightarrow{SA^\\prime}+\\dfrac{SC}{SC^\\prime}\\overrightarrow{SC^\\prime}=\\dfrac{SB}{SB^\\prime}\\overrightarrow{SB^\\prime}+\\dfrac{SD}{SD^\\prime}\\overrightarrow{SD^\\prime}$<\/span><\/p><p>Do A&#39;, B&#39;, C&#39;, D&#39; \u0111\u1ed3ng ph\u1eb3ng n&ecirc;n \u0111\u1eb3ng th\u1ee9c tr&ecirc;n&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\dfrac{SA}{SA^\\prime}+\\dfrac{SC}{SC^\\prime}=\\dfrac{SB}{SB^\\prime}+\\dfrac{SD}{SD^\\prime}$<\/span>.<\/p><p><span class=\"svgedit\"><svg height=\"220\" width=\"190\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"#fff\" height=\"222\" id=\"canvas_background\" width=\"192\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_4\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> &lt;title&gt;&lt;\/title&gt; <g id=\"svg_3\" stroke=\"null\"> <image height=\"216\" id=\"svg_1\" width=\"191.99998\" x=\"0.5\" 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