如下图,在棱长为3的正方体
中,
是
的中点,
为底面
所在平面内一动点,设
与底面
所成的角分别为
(
均不为0),若
,则点
到直线
的距离的最大值是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/e99e60f9-69b2-460e-9a36-c1667a0fd579.jpg?resizew=192)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bebe38e013bb940914346d636e6d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06dff98542aa146173d46c1ffd4391ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06dff98542aa146173d46c1ffd4391ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/382184a43e2155e54abfa48ce96ad364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/e99e60f9-69b2-460e-9a36-c1667a0fd579.jpg?resizew=192)
A.![]() | B.2 | C.![]() | D.3 |
更新时间:2019-03-02 15:55:13
|
相似题推荐
单选题
|
较易
(0.85)
解题方法
【推荐1】如图,已知
是等腰三角形,且
,
,点
是
的中点将
沿
折起,使得
,则此时直线
与平面
所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/83dad71d-0028-4cba-bd7d-4cd17d4b3bae.png?resizew=388)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1be17e0a3e51cde1f50f384198e71e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f8f01137e92c0f2e63467036ae9cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/83dad71d-0028-4cba-bd7d-4cd17d4b3bae.png?resizew=388)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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【推荐2】已知四棱锥的侧棱长与底面边长都是1,底面为正方形,则侧棱与底面所成的角为( )
A.75° | B.60° | C.45° | D.30° |
您最近一年使用:0次
单选题
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较易
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名校
【推荐1】若斜线段AB是它在平面
内的射影长的2倍,则AB与
所成的角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.60° | B.30° | C.120°或60° | D.150°或30° |
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解题方法
【推荐2】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/9f32602d5085cabdb66ca14b562077b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4cd2b33bd983a9ed6575b9de04a46a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
单选题
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较易
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解题方法
【推荐1】在空间直角坐标系中,已知直线
的一个方向向量为
,平面
的一个法向量为
,则直线
与平面
所成的角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51dd34ecbf335f4ecb3233fd67078c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a81427489a29afa9c3be2d8f669ff06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐2】如图,在四棱锥
中,
平面
,底面
为正方形,
,则直线
与平面
所成角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829f9180ddd9aa1a0ee0dc520f4e0b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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