题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134722-17170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134722-62149.png)
(1)求四棱锥S-ABCD的体积;
(2)求证:面SAB⊥面SBC;
(3)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134723-69837.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134723-52305.png)
(2)证明:见解析;(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134723-95580.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134723-15093.png)
(2)根据面面垂直的判定定理,只需证明
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-49021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-64071.png)
(3)解决本小题的关键是做(找)出二面角的平面角.过点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-43175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-67922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-44459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-44459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134725-41456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134725-20588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134725-60458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134725-23529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134723-69837.png)
(1)由棱锥体积公式:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134726-52111.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134726-90146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134726-35740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134726-19682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134726-54962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-64071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134727-93992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134727-12872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134727-73522.png)
(3)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-43175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-67922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-44459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134724-44459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134725-41456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134725-20588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134725-60458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134725-23529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134723-69837.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134727-36693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134728-21447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134723-95580.png)
核心考点
试题【.如图,在底面是直角梯形的四棱锥S-ABCD中,∠ABC=90°,SA⊥面ABCD,SA=AB=BC=1,AD=.(1)求四棱锥S-ABCD的体积;(2)求证:】;主要考察你对柱锥台的表面积等知识点的理解。[详细]
举一反三
如图①边长为1的正方形ABCD中,点E、F分别
为AB、BC的中点,将△BEF剪去,将
△AED、△DCF分别沿DE、DF折起,使A、
C两点重合于点P得一个三棱锥如图②示.
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134711-34055.png)
(2)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134712-79720.png)
(3)求DE与平面PDF所成角的正弦值.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134712-86398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134712-32906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134702-50115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134702-83065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134702-91466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134702-66317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134702-91466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134702-83065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134703-16438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134703-19235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134703-85860.png)
(1)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134703-44422.png)
(2)求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134703-46339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134704-48536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134704-33407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134655-41097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134655-34607.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134642-18685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134642-83248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134642-53929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134642-50956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134642-82257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134643-96676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134643-44121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134643-76952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134642-83248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134644-64774.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134644-38912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134644-32089.png)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134644-90592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134644-16033.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134645-11900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134645-28231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134645-27373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134628-31968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021134628-11229.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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