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HomeLớp 12Toán lớp 12 - Sách Kết nối tri thứcBài 16. Công thức tính góc trong không gianBài tập nâng cao
{"common":{"save":0,"post_id":"8318","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6174","post_id":"8318","mon_id":"1159285","chapter_id":"1159382","question":"<p>Cho h&igrave;nh ch&oacute;p S.ABCD c&oacute; \u0111&aacute;y ABCD l&agrave; h&igrave;nh&nbsp;ch\u1eef nh\u1eadt v&agrave; SA&nbsp;<span class=\"math-tex\">$\\bot$<\/span>&nbsp;(ABCD).&nbsp;Cho bi\u1ebft AB = 2a, AD = 3a, SA = 2a.&nbsp;Cosin g&oacute;c gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng SC v&agrave; BD b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$-\\dfrac{5}{\\sqrt{221}}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{5}{\\sqrt{221}}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{3}{\\sqrt{221}}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$-\\dfrac{3}{\\sqrt{221}}$<\/span>"],"correct":"2","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{5}{\\sqrt{221}}$<\/span>.<\/span><\/p><p>Ch\u1ecdn h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 Oxyz&nbsp;nh\u01b0 h&igrave;nh v\u1ebd sao cho A tr&ugrave;ng v\u1edbi O.<\/p><p>Ta c&oacute; B(2a ; 0 ; 0), D(0 ; 3a ; 0), S(0 ; 0 ; 2a) v&agrave; C(2a ; 3a ; 0).<\/p><p>Suy ra <span class=\"math-tex\">$\\overrightarrow{SC}=(2a;3a;-2a)$<\/span>&nbsp;v&agrave; <span class=\"math-tex\">$\\overrightarrow{BD}=(-2a;3a;0)$<\/span>.<\/p><p>Hai \u0111\u01b0\u1eddng th\u1eb3ng SC v&agrave; BD c&oacute; vector&nbsp;ch\u1ec9&nbsp;ph\u01b0\u01a1ng l\u1ea7n l\u01b0\u1ee3t l&agrave; <span class=\"math-tex\">$\\overrightarrow{u}=(2;3;-2)$<\/span>&nbsp;v&agrave;&nbsp;<span class=\"math-tex\">$\\overrightarrow{v}=(-2;3;0)$<\/span>.<\/p><p>V\u1eady&nbsp;<span class=\"math-tex\">$\\cos(SC,BD)=\\dfrac{|\\overrightarrow{u}.\\overrightarrow{v}|}{|\\overrightarrow{u}|.|\\overrightarrow{v}|}=\\dfrac{|-4+9+0|}{\\sqrt{4+9+4}.\\sqrt{4+9+0}}=\\dfrac{5}{\\sqrt{221}}$<\/span>.<\/p><p><span 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\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\" y=\"-0.5\"><\/image> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2025-01-12 09:57:08","option_type":"math","len":0},{"id":"6178","post_id":"8318","mon_id":"1159285","chapter_id":"1159382","question":"<p>Trong kh&ocirc;ng gian Oxyz, v\u1edbi m\u1eb7t ph\u1eb3ng (Oxy)&nbsp;l&agrave;&nbsp;m\u1eb7t \u0111\u1ea5t, m\u1ed9t m&aacute;y bay c\u1ea5t c&aacute;nh t\u1eeb v\u1ecb tr&iacute; A(0 ; 10 ; 0)&nbsp;v\u1edbi v\u1eadn&nbsp;t\u1ed1c&nbsp;<span class=\"math-tex\">$\\overrightarrow{v}=(150;150;40)$<\/span>.&nbsp;T&iacute;nh g&oacute;c n&acirc;ng c\u1ee7a m&aacute;y bay (g&oacute;c&nbsp;gi\u1eefa h\u01b0\u1edbng chuy\u1ec3n \u0111\u1ed9ng bay l&ecirc;n c\u1ee7a m&aacute;y bay v\u1edbi \u0111\u01b0\u1eddng&nbsp;b\u0103ng,&nbsp;l&agrave;m tr&ograve;n k\u1ebft qu\u1ea3 \u0111\u1ebfn h&agrave;ng \u0111\u01a1n v\u1ecb).<\/p>","options":["<strong>A.<\/strong> 10&deg;","<strong>B.<\/strong> 12&deg;","<strong>C.<\/strong> 11&deg;","<strong>D.<\/strong> 9&deg;"],"correct":"3","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong> 11&deg;.<\/span><br \/>G\u1ecdi <span class=\"math-tex\">$\\Delta$<\/span>&nbsp;l&agrave; \u0111\u01b0\u1eddng th\u1eb3ng bi\u1ec3u th\u1ecb cho h\u01b0\u1edbng&nbsp;chuy\u1ec3n \u0111\u1ed9ng bay l&ecirc;n c\u1ee7a m&aacute;y bay.<br \/><span class=\"math-tex\">$\\Delta$<\/span>&nbsp;nh\u1eadn vector&nbsp;<span class=\"math-tex\">$\\overrightarrow{u}=\\dfrac{1}{10}\\overrightarrow{v}=(150;150;40)=(15;15;4)$<\/span>&nbsp;l&agrave;m vector&nbsp;ch\u1ec9&nbsp;ph\u01b0\u01a1ng.<br \/>M\u1eb7t ph\u1eb3ng (Oxy)&nbsp;c&oacute; VTPT <span class=\"math-tex\">$\\overrightarrow{n}=(0;0;1)$<\/span>.<br \/>G\u1ecdi&nbsp;&alpha;&nbsp;l&agrave; g&oacute;c gi\u1eefa \u0111\u01b0\u1eddng th\u1eb3ng <span class=\"math-tex\">$\\Delta$<\/span> v&agrave; m\u1eb7t ph\u1eb3ng (Oxy).<br \/>Suy ra&nbsp;<span class=\"math-tex\">$\\sin\\alpha=|\\cos(\\overrightarrow{u},\\overrightarrow{n})|$<\/span><span class=\"math-tex\">$=\\dfrac{|\\overrightarrow{u}.\\overrightarrow{n}|}{|\\overrightarrow{u}|.|\\overrightarrow{n}|}=\\dfrac{|0+0+4|}{\\sqrt{225+225+16}.\\sqrt{0+0+1}}$<\/span><span class=\"math-tex\">$=\\dfrac{4}{\\sqrt{466}}$<\/span>.<\/p><p>Suy ra&nbsp;<span class=\"math-tex\">$\\alpha\\approx11^0$<\/span>.<\/p><p>V\u1eady g&oacute;c n&acirc;ng c\u1ee7a m&aacute;y bay l&agrave;&nbsp;&alpha;&nbsp;<span class=\"math-tex\">$\\approx$<\/span>&nbsp;11&deg;.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2025-01-12 10:16:41","option_type":"txt","len":0},{"id":"6181","post_id":"8318","mon_id":"1159285","chapter_id":"1159382","question":"<p>Cho h&igrave;nh ch&oacute;p S.ABCD c&oacute; \u0111&aacute;y ABCD l&agrave; h&igrave;nh vu&ocirc;ng&nbsp;c\u1ea1nh 2a, c\u1ea1nh b&ecirc;n<br \/>SA = a&nbsp;v&agrave; vu&ocirc;ng g&oacute;c v\u1edbi m\u1eb7t ph\u1eb3ng \u0111&aacute;y.&nbsp;G\u1ecdi M l&agrave; trung \u0111i\u1ec3m c\u1ea1nh SD. Tan c\u1ee7a g&oacute;c t\u1ea1o b\u1edfi hai m\u1eb7t&nbsp;ph\u1eb3ng (AMC) v&agrave; (SBC) b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{\\sqrt{5}}{5}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{2\\sqrt{5}}{5}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{\\sqrt{3}}{2}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{2\\sqrt{3}}{3}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{\\sqrt{5}}{5}$<\/span>.<\/span><\/p><p>Ch\u1ecdn h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 sao cho A tr&ugrave;ng O, nh\u01b0 h&igrave;nh v\u1ebd.<br \/>Khi \u0111&oacute; ta c&oacute; A(0 ; 0 ; 0), B(2a ; 0 ; 0), D(0 ; 2a ; 0), C(2a ; 2a ; 0), S(0 ; 0 ; a), M<span class=\"math-tex\">$\\bigg(0;a;\\dfrac{a}{2}\\bigg)$<\/span>.<\/p><p><span class=\"math-tex\">$\\overrightarrow{SB}=(2a;0;-a)$<\/span>&nbsp;,<span class=\"math-tex\">$\\overrightarrow{SC}=(2a;2a;-a)$<\/span> ,&nbsp;<span class=\"math-tex\">$\\overrightarrow{MA}=\\bigg(0;-a;-\\dfrac{a}{2}\\bigg)$<\/span>,&nbsp;<span class=\"math-tex\">$\\overrightarrow{MC}=\\bigg(2a;a;-\\dfrac{a}{2}\\bigg)$<\/span>.<\/p><p><span class=\"math-tex\">$\\overrightarrow{n_1}=[\\overrightarrow{SB},\\overrightarrow{SC}]=(2a^2;0;4a^2)$<\/span>&nbsp;v&agrave;&nbsp;<span class=\"math-tex\">$\\overrightarrow{n_2}=[\\overrightarrow{MA},\\overrightarrow{MC}]=(a^2;-a^2;2a^2)$<\/span>.<\/p><p>G\u1ecdi&nbsp;&alpha;&nbsp;(0&deg;&nbsp;<span class=\"math-tex\">$\\le$<\/span>&nbsp;&alpha;&nbsp;<span class=\"math-tex\">$\\le$<\/span>&nbsp;90&deg;)&nbsp;l&agrave; g&oacute;c t\u1ea1o b\u1edfi hai m\u1eb7t ph\u1eb3ng (AMC) v&agrave; (SBC).<\/p><p>Ta c&oacute;&nbsp;<span class=\"math-tex\">$\\cos\\alpha=|\\cos(\\overrightarrow{n_1},\\overrightarrow{n_2})|$<\/span><span class=\"math-tex\">$=\\dfrac{|\\overrightarrow{n_1}.\\overrightarrow{n_2}|}{|\\overrightarrow{n_1}|.|\\overrightarrow{n_2}|}=\\dfrac{|2a^4+0+8a^4|}{\\sqrt{4a^4+0+16a^4}.\\sqrt{a^4+a^4+4a^4}}$<\/span><span class=\"math-tex\">$=\\dfrac{10a^4}{2\\sqrt{30}a^4}=\\dfrac{5}{\\sqrt{30}}$<\/span>.<\/p><p>M&agrave;&nbsp;<span class=\"math-tex\">$\\tan^2\\alpha=\\dfrac{1}{\\cos^2\\alpha}-1=\\bigg(\\dfrac{\\sqrt{30}}{5}\\bigg)^2-1=\\dfrac{1}{5}$<\/span>&nbsp;v&agrave;&nbsp;0&deg;&nbsp;<span class=\"math-tex\">$\\le$<\/span>&nbsp;&alpha;&nbsp;<span class=\"math-tex\">$\\le$<\/span>&nbsp;90&deg; n&ecirc;n tan&nbsp;&alpha; =&nbsp;<span class=\"math-tex\">$\\dfrac{\\sqrt{5}}{5}$<\/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&gt; <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&gt; <image height=\"250\" id=\"svg_1\" width=\"320\" x=\"-0.5\" 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