题目
题型:不详难度:来源:
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010819-46228.png)
(2)求直线PC与底面ABCD所成角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010819-27659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010820-10413.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010820-94480.png)
证明:(2)连结AC,因为PA
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010820-21470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010820-18486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010819-27659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010821-15009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010821-31102.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010821-57283.png)
解析
核心考点
试题【已知ABCD是正方形,PA⊥平面ABCD,且PA=AB=2,E、F是侧棱PD、PC的中点。(1)求证:平面PAB; (2)求直线PC与底面ABCD所成角的正切值】;主要考察你对平面的法向量等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010809-12928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010809-23163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010809-51818.png)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010810-39776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010810-60314.png)
(2)求点A到平面BEF的距离;
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010810-46423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010803-33676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010803-44485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010803-70631.png)
(1)求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010803-45108.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010803-99535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010803-76882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010756-64794.png)
(II)若二面角F—BD—A的大小为60°,求a的值
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010756-13376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010746-51159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010746-89770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010746-97967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010746-97967.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010746-51171.png)
(Ⅰ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010747-54129.png)
(Ⅱ)若棱
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010747-30466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010747-78240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010747-54835.png)
当二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010747-62769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010747-93098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010747-75764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010748-89419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010737-55412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010737-74871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010737-55888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010738-73241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010738-32228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010738-67841.png)
(Ⅰ) 图
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010737-55412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010738-99451.png)
(Ⅱ)求正三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010737-74871.png)
(Ⅲ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106010739-41477.png)
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