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1 . 如图,在正方体ABCD﹣A1B1C1D1中,直线A1C与平面ABCD所成角的余弦值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/b9882877-70e0-4344-8af4-e920ebe1dbfe.png?resizew=134)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/b9882877-70e0-4344-8af4-e920ebe1dbfe.png?resizew=134)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-12-27更新
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5卷引用:浙江省2018年4月高中学业水平考试数学试题
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2 . 长方体
中,
,
,则直线
与平面ABCD所成角的大小
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6e8da26cf6a4f1a0556619328c2d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d0e359fec4d6756fae55c2cc1e3b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8facb85fee290850ce7aa741732e0c0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 在长方体
中,
,
,则
与平面
所成角的正弦值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1a56baf43ffdf67bc8460856e31fec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-05-30更新
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6卷引用:河北专版 学业水平测试 专题九 立体几何初步
4 . 在四棱锥
中,
底面
,且
.若M为线段
的中点,则直线DM与平面
所成的角为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/931e9911-fc48-4c84-b6f8-b155d36b9ecd.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5760ef642417cd3ab176d4f5c3683e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e796a3b03b7b56039e5173c6c75478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a1d1e71efc48f746689a60867545af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a8793a95ef64d43cca352ea2704270.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/931e9911-fc48-4c84-b6f8-b155d36b9ecd.png?resizew=175)
A.30° | B.45° | C.60° | D.90° |
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5 . 如图,四边形ABCD为矩形,沿AC将△ADC翻折成
.设二面角
的平面角为
,直线
与直线BC所成角为
,直线
与平面ABC所成角为
,当
为锐角时,有
![](https://img.xkw.com/dksih/QBM/2018/11/19/2078915588947968/2079126219956225/STEM/dcf554aa790b4d2f8802fe860645856a.png?resizew=268)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f8441e5e499d705e4625e4c7db33dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd606081fe85a262777717651cabb82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b123ae31090740589ba27a846620b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f64fa38725c136504f723019a18dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b123ae31090740589ba27a846620b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93fa313adc4ac7608ba9449fd755212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/2018/11/19/2078915588947968/2079126219956225/STEM/dcf554aa790b4d2f8802fe860645856a.png?resizew=268)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-11-27更新
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4卷引用:2018年11月浙江省学考数学试题
6 . 如图,在三棱锥
中,
⊥底面
,
,则直线
与平面
所成角的大小为
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/12/c87fa54b-00e4-46ac-887c-1fb72ded2121.png?resizew=112)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587df01a98f499a9f361aafd8c3dac39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/12/c87fa54b-00e4-46ac-887c-1fb72ded2121.png?resizew=112)
A.![]() | B.![]() |
C.![]() | D.![]() |
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