如图,正方体
中,
是
的中点,直线
与平面
所成角的正弦值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6151468904c32d230da58dca8193a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d801edd85c816522ae1e40b83ae9ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172e5fbd9df8b19e0786fad909d36d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053353435b342dcfbfe8657761abff31.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/43a92e2d-4cbc-4ef6-99e8-a3a45aeae5c3.png?resizew=179)
更新时间:2021-08-06 07:32:38
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【知识点】 求线面角
相似题推荐
填空题-单空题
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适中
(0.65)
名校
【推荐1】如图,在直三棱柱
中,
,则直线
与平面
所成角的余弦值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4ed2de9be96fa0b92dbccca2b8bd4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/2019/12/29/2365630474887168/2366327797628928/STEM/6644e6bc387b45e2801839aa644018d2.png?resizew=127)
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填空题-双空题
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适中
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解题方法
【推荐2】在正三棱柱
中,已知
,
在棱
上,且
,则
与平面
所成的角的正弦值为______ ,平面
与
所成二面角的余弦值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb08f6a798dc293f3d8de281190f65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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