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HomeLớp 12Toán lớp 12 - Sách Kết nối tri thứcBài tập cuối chương 2. VECTƠ VÀ HỆ TRỤC TOẠ ĐỘ TRONG KHÔNG GIAN.Bài tập nâng cao
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Kh\u1eb3ng \u0111\u1ecbnh n&agrave;o sau \u0111&acirc;y <strong>\u0111&uacute;ng <\/strong>nh\u1ea5t?<\/p>","options":["<strong>A.<\/strong> AB v&agrave; CD ch&eacute;o nhau","<strong>B.<\/strong> AB v&agrave; CD vu&ocirc;ng g&oacute;c v\u1edbi nhau","<strong>C.<\/strong> AB v&agrave; CD \u0111\u1ed3ng ph\u1eb3ng","<strong>D.<\/strong> AB v&agrave; CD c\u1eaft nhau"],"correct":"2","level":"3","hint":"<p>S\u1eed d\u1ee5ng t&iacute;ch v&ocirc; h\u01b0\u1edbng c\u1ee7a hai vect\u01a1.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;AB v&agrave; CD&nbsp;vu&ocirc;ng g&oacute;c v\u1edbi nhau<\/span><\/p><p>\u0110\u1eb7t AB = AC = AD = a.<\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$\\overrightarrow{CD}.\\overrightarrow{AB}=(\\overrightarrow{AD}-\\overrightarrow{AC}).\\overrightarrow{AB}$<\/span><\/p><p><span class=\"math-tex\">$=|\\overrightarrow{AB}|.|\\overrightarrow{AD}|.\\cos60^o-|\\overrightarrow{AB}|.|\\overrightarrow{AC}|.\\cos60^o$<\/span><\/p><p><span class=\"math-tex\">$=a.a.\\dfrac{1}{2}-a.a.\\dfrac{1}{2}=0$<\/span><\/p><p>V\u1eady AB&nbsp;<span class=\"math-tex\">$\\bot$<\/span>&nbsp;CD.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-08 09:16:30","option_type":"txt","len":2},{"id":"5721","post_id":"7621","mon_id":"1159285","chapter_id":"1159392","question":"<p>Cho h&igrave;nh l\u0103ng tr\u1ee5 tam gi&aacute;c \u0111\u1ec1u ABC.A&#39;B&#39;C&#39; c&oacute; <span class=\"math-tex\">$AB = a$<\/span> v&agrave;&nbsp;<span class=\"math-tex\">$AA^\\prime=\\sqrt{2}a$<\/span>.&nbsp;G&oacute;c gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng AB&#39;&nbsp;v&agrave; BC&#39;&nbsp;b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> 60&deg;","<strong>B.<\/strong> 45&deg;","<strong>C.<\/strong> 90&deg;","<strong>D.<\/strong> 30&deg;"],"correct":"1","level":"3","hint":"<p>S\u1eed d\u1ee5ng t&iacute;ch v&ocirc; h\u01b0\u1edbng c\u1ee7a hai vect\u01a1, g&oacute;c gi\u1eefa hai vect\u01a1.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;60&deg;<\/span><\/p><p><span class=\"svgedit\"><svg height=\"216\" width=\"166\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"#fff\" height=\"218\" id=\"canvas_background\" width=\"168\" 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&gt; <image height=\"216\" id=\"svg_1\" stroke=\"null\" width=\"166\" x=\"-0.5\" 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\" y=\"-0.49999\"><\/image> <\/g> <\/svg><\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$\\overrightarrow{AB^\\prime}.\\overrightarrow{BC^\\prime}=(\\overrightarrow{AB}+\\overrightarrow{BB^\\prime}).(\\overrightarrow{BC}+\\overrightarrow{CC^\\prime})$<\/span><\/p><p><span class=\"math-tex\">$=\\overrightarrow{AB}.\\overrightarrow{BC}+\\overrightarrow{AB}.\\overrightarrow{CC^\\prime}+\\overrightarrow{BB^\\prime}.\\overrightarrow{BC}+\\overrightarrow{BB^\\prime}.\\overrightarrow{CC^\\prime}$<\/span><\/p><p><span class=\"math-tex\">$=-\\dfrac{a^2}{2}+0+0+2a^2=\\dfrac{3}{2}a^2$<\/span><\/p><p><span class=\"math-tex\">$\\cos(\\overrightarrow{AB^\\prime},\\overrightarrow{BC^\\prime})=\\dfrac{\\overrightarrow{AB^\\prime}.\\overrightarrow{BC^\\prime}}{|\\overrightarrow{AB^\\prime}|.|\\overrightarrow{BC^\\prime}|}$<\/span>&nbsp;<span class=\"math-tex\">$=\\dfrac{3a^2}{2.a\\sqrt{3}.a\\sqrt{3}}=\\dfrac{1}{2}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$\\widehat{(AB^\\prime,BC^\\prime)}=60^o$<\/span><\/p>","type":"choose","extra_type":"shape2","user_id":"131","test":"0","date":"2024-09-08 09:24:18","option_type":"txt","len":0},{"id":"5723","post_id":"7621","mon_id":"1159285","chapter_id":"1159392","question":"<p>Cho h&igrave;nh l\u1eadp ph\u01b0\u01a1ng <span class=\"math-tex\">$ABCD.A_1B_1C_1D_1$<\/span>&nbsp;c&oacute; c\u1ea1nh a. G\u1ecdi M&nbsp;l&agrave; trung \u0111i\u1ec3m AD. Gi&aacute; tr\u1ecb <span class=\"math-tex\">$\\overrightarrow{B_1M}.\\overrightarrow{BD_1}$<\/span>&nbsp;l&agrave;:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{2}a^2$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$a^2$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{3}{2}a^2$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{3}{4}a^2$<\/span>"],"correct":"1","level":"3","hint":"<p>S\u1eed d\u1ee5ng t&iacute;ch v&ocirc; h\u01b0\u1edbng c\u1ee7a hai vect\u01a1.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{1}{2}a^2$<\/span><\/span><\/p><p><span class=\"svgedit\"><svg height=\"169\" width=\"192\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"#fff\" height=\"171\" id=\"canvas_background\" width=\"194\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" 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\" y=\"0.5\"><\/image> <\/g> <\/svg><\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$\\overrightarrow{B_1M}.\\overrightarrow{BD_1}=(\\overrightarrow{B_1B}+\\overrightarrow{BA}+\\overrightarrow{AM}).(\\overrightarrow{BA}+\\overrightarrow{AD}+\\overrightarrow{DD_1})$<\/span><\/p><p><span class=\"math-tex\">$=\\overrightarrow{B_1B}.\\overrightarrow{DD_1}+\\overrightarrow{BA}^2+\\overrightarrow{AM}.\\overrightarrow{AD}$<\/span><\/p><p><span class=\"math-tex\">$=-a^2+a^2+\\dfrac{a^2}{2}$<\/span><\/p><p><span class=\"math-tex\">$=\\dfrac{a^2}{2}$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-09 00:59:08","option_type":"math","len":0}]}
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