题目
题型:不详难度:来源:
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114403-33068.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114403-55067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114403-56318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114404-27117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114404-87836.jpg)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114404-46262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114404-32337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114405-70204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114405-45181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114405-13131.png)
则由
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114405-50047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114406-61657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114406-93585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114403-33068.png)
核心考点
试题【在三棱锥P-ABC中,PA⊥平面ABC,∠BAC=90°,D,E,F分别是棱AB,BC,CP的中点,AB=AC=1,PA=2,则直线PA与平面DEF所成角的正弦】;主要考察你对空间向量的基本概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114349-36009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114349-71844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114350-55968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114350-59601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114350-51069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114350-32749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114351-20664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114351-56737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114351-44977.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114351-42641.png)
(2)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114350-51069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114352-33399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114329-41054.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114329-33990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114329-42525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114329-72972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114330-82475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114330-72694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114329-72972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114330-78894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114330-57188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114330-73496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114330-79467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114330-47394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114331-74120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114331-28596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114331-56047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114331-20898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114332-16329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114332-33949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114332-85558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114332-45886.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114332-65775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114333-55496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114332-33949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114333-55782.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114333-86969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114333-71660.png)
(2)是否存在正实数
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114334-75502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114334-75535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114334-37834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114334-75502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114321-21249.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114309-49755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114309-89960.png)
(1)求证:BE//平面D1AC;
(2)求证:AF⊥BE;
(3)求异面直线AF与BD所成角的余弦值。
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114247-31389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114247-31389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114247-31389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114247-41890.jpg)
(1)求证:BM∥平面PAD;
(2)在侧面PAD内找一点N,使MN
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105114247-31389.png)
(3)求直线PC与平面PBD所成角的正弦。
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