题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031353-20580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031353-82851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031353-51392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031353-90436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031354-23117.png)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031354-26078.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031354-48200.png)
答案
解析
试题分析:(1)证明线面垂直根据判定定理证明
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031354-63348.png)
(2)证明线面垂直利用判定定理证明
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031355-75282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031355-39140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031355-62349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031355-64610.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031356-25430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031356-78032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031356-30251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031356-94862.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031357-52024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031356-94862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031357-55466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031357-37984.png)
(Ⅱ)证明:由
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031357-24681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031358-94975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031358-80621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031358-62970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031358-30355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031359-81213.png)
由(1)知,
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031359-67962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031359-11208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031400-43281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031400-71163.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031400-94111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031400-71163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031400-64501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031400-81743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031401-76963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031401-15894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031401-72180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031401-90080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031402-31972.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031402-20381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031402-53429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106031402-97254.png)
点评:掌握线线,线面,面面平行与垂直的判定定理及性质定理是利用传统方法求解此类问题的关键,同时还要强化画图识图能力的提高,培养自己的空间想象能力,才能真正解决此类问题.
核心考点
举一反三
![](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)
![](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 |
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