题目
题型:不详难度:来源:
如图,已知
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052648-91931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-25346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-25346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-63432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-30690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-25346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-63181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-83724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-59833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-28088.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-72175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29467.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-89439.png)
(3)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-67912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-70593.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29247.png)
(2)根据已知中
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-35111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-28513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-40109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-66530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-70593.png)
(3)1
解析
试题分析:证明:(1)在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-15483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052652-69304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-59833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29247.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052652-80467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052652-30907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052652-65190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29467.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-35111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052653-48098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-28513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052653-86284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052649-25346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-40109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052653-14317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-70593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-66530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-70593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052653-87820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-70593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052653-25499.png)
(3)在
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052654-85714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052654-43542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052654-27506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052654-77645.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052651-35111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052650-29467.png)
点评:解决的关键是对于空间中的线面平行和线面垂直的判定定理和性质定理的灵活运用,属于基础题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052637-59689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052637-96262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052637-66786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052638-82206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052638-34450.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052631-55801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052631-80149.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
在正方体ABCD-A1B1C1D1中,E、F为棱AD、AB的中点.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052626-74332.png)
(1)求证:EF∥平面CB1D1;
(2)求证:平面CAA1C1⊥平面CB1D1
如图,在底面是直角梯形的四棱锥S-ABCD中,
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052620-35231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052620-53464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052620-81755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052620-77082.png)
(1)求四棱锥S-ABCD的体积;
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052621-95377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052609-22086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052609-63795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052610-86420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052610-81888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052610-84396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052610-17328.png)
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