题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031343-39785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031343-46896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031343-97420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-28384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-50195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-66786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-15064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-57174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-13319.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-67897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-70704.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-78646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-32473.png)
答案
解析
试题分析:(1)根据题意要证明
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-67897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-70704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-48358.png)
(2)要证明线面垂直只要证明一条直线垂直于平面内的两条相交直线即可得到。
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-64977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-50195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-66786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-15064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031344-57174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-58370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031346-41012.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031346-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031346-95986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031346-33159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031347-78376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031345-32473.png)
点评:解决该试题的关键是熟练利用线面垂直的判定定理和线面平行的判定定理得到结论。
注意性质定理和判定定理的互相的转化运用。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031334-94700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031334-84378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031334-77512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031335-67283.png)
A.![]() ![]() ![]() ![]() ![]() ![]() |
B.![]() ![]() ![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() ![]() ![]() ![]() ![]() |
如图,在平行四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031322-63689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031322-98664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031322-24293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031322-19515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031322-75632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031323-85871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031323-57955.jpg)
(Ⅰ)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031323-66703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031324-55471.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031324-61474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031324-98208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031324-22050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031325-69153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031324-55471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031325-17379.png)
如图,在四面体PABC中,PA=PB,CA=CB,D、E、F、G分别是PA,AC、CB、BP的中点.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031318-53194.png)
(1)求证:D、E、F、G四点共面;
(2)求证:PC⊥AB;
(3)若△ABC和△PAB都是等腰直角三角形,且AB=2,
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031318-48021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031313-35837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031314-33608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031314-54334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031314-22504.jpg)
A.4 | B.3 | C.2 | D.1 |
A.![]() | B.![]() | C.![]() | D.![]() |
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