名校
解题方法
1 . 如图,在圆柱
中,它的轴截面
是一个边长为2的正方形,点C为棱
的中点,点
为弧
的中点.
![](https://img.xkw.com/dksih/QBM/2021/11/21/2856261557362688/2857312744136704/STEM/71b1eea7-5160-4597-a5e5-52af8c104771.png?resizew=199)
(1)求异面直线OC与
所成角的大小;
(2)求直线
与圆柱
底面所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/2021/11/21/2856261557362688/2857312744136704/STEM/71b1eea7-5160-4597-a5e5-52af8c104771.png?resizew=199)
(1)求异面直线OC与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
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2021-11-23更新
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2卷引用:上海市复兴高级中学2023届高三上学期开学考数学试题