1 . 如图,正方形
所在的平面与平面
垂直,
是
和
的交点,
,且
.
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/187bdabeb7494bf2b1ec70e588669f9a.png)
(1)求证:
平面
;
(2)求直线
与平面
所成的角的大小;
(3)求二面角
的大小.
(4)你认为求二面角常用的方法有哪些?请按应用的重要程度写出3种,并就其中一种方法谈谈它的应用条件.
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/9cc9e426190d4299a3c77583223a99d0.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/5497423b6c234073bc464df1ef34b96e.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/d11eab10b64743cea50e9d77303ac95e.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/12cf2174077d4cd3b2965f92918f7f2f.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/ce7593be1f0649ffb308a56f0512c45d.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/3562b0659cca408c9f3a7fa8c6cfbf92.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/702809205e184c59a5b1cfa7286ccc12.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/187bdabeb7494bf2b1ec70e588669f9a.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/de8ee198420d43bb9beb951aad2c323c.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/164bc8b2f7c14ae9bfcee0d0f7088280.png)
(2)求直线
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/c479c66934934175bdd23fcdef1f585a.png)
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/164bc8b2f7c14ae9bfcee0d0f7088280.png)
(3)求二面角
![](https://img.xkw.com/dksih/QBM/2016/4/7/1572569174687744/1572569181011968/STEM/37b4dba301674268b26de3fd4db73661.png)
(4)你认为求二面角常用的方法有哪些?请按应用的重要程度写出3种,并就其中一种方法谈谈它的应用条件.
您最近一年使用:0次
2 . 如图,在四棱锥P﹣ABCD中,底面ABCD为平行四边形,∠ADC=45°,AD=AC=1,O为AC中点,PO⊥平面ABCD,PO=2,M为PD中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/28b0441a-f851-479a-84af-ae844b88089d.png?resizew=148)
(Ⅰ)证明:PB∥平面ACM;
(Ⅱ)证明:AD⊥平面PAC;
(Ⅲ)求直线AM与平面ABCD所成角的正切值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/28b0441a-f851-479a-84af-ae844b88089d.png?resizew=148)
(Ⅰ)证明:PB∥平面ACM;
(Ⅱ)证明:AD⊥平面PAC;
(Ⅲ)求直线AM与平面ABCD所成角的正切值.
您最近一年使用:0次
2016-12-03更新
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3325次组卷
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7卷引用:2017届天津耀华中学高三上学期开学考试数学(文)试卷