如图,
和
所在平面垂直,且
,
,则直线
与平面
所成的角的大小为________ .
![](https://img.xkw.com/dksih/QBM/2021/11/12/2849585020944384/2849734960340992/STEM/91f25340-b8f5-4c3e-a676-3b6b3aedda76.png?resizew=290)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca76d0d2614f113bcd4c9e134b95123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80b27cdeb4692abfc3b5f322ad0b1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://img.xkw.com/dksih/QBM/2021/11/12/2849585020944384/2849734960340992/STEM/91f25340-b8f5-4c3e-a676-3b6b3aedda76.png?resizew=290)
更新时间:2021-11-12 15:43:31
|
【知识点】 线面角的向量求法
相似题推荐
填空题-单空题
|
较易
(0.85)
解题方法
【推荐1】若平面
的一个法向量
,直线
的一个方向向量为
,则平面
与直线
所成角的正弦值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168a3c6a4dfac9982cc77ad502cd2064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138ce9127942a09324236b94883a5929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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填空题-单空题
|
较易
(0.85)
名校
解题方法
【推荐2】已知平面
的法向量为
,向量
在平面
内的投影向量的长度为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f22b86da47dd8e16f9d02bf0e5891a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082308090e438420f5484de74f775bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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