题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052831-19939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052831-64669.png)
( 1 )若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052832-62803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052832-12852.png)
( 2 )若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052832-21952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052832-57770.png)
( 3 )如果
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052832-82104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052833-50213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052833-56736.png)
( 4 )若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052833-32717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052833-68912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052834-68891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052834-93295.png)
A.1 | B.2 | C.3 | D.4 |
答案
解析
试题分析:根据面面垂直的判定定理可知命题(1)正确;若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052832-21952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052834-15957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052832-82104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052833-50213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052833-56736.png)
点评:处理此类问题,往往要求掌握空间中线面关系的判定定理及性质,然后再结合模型处理
核心考点
试题【已知是平面,是直线,给出下列命题,其中正确的命题的个数是( )( 1 )若,则( 2 )若,则( 3 )如果是异面直线,那么与相交( 4 )若,且,则】;主要考察你对线线角等知识点的理解。[详细]
举一反三
如图,在四棱锥P-ABCD中,底面ABCD为直角梯形,AD//BC,∠ADC=90°,平面PAD⊥底面ABCD,Q为AD的中点,M是棱PC上的点,PA=PD=2,BC=
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052821-94993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052821-98585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052822-45170.jpg)
(1)求证:平面PQB⊥平面PAD;
(2)若二面角M-BQ-C为30°,设PM=tMC,试确定t的值.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052815-49796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052815-49528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052816-26811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052816-97810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052816-34836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052816-11108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052815-49796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052816-80358.jpg)
如图,在多面体
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052752-27264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052752-95027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052753-56904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052753-50703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052753-56904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052753-36365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052753-21164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052754-98382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052754-60049.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052754-53206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052754-12260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052754-24332.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052755-75465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052755-64700.png)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052755-95301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052755-16160.png)
(Ⅲ)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052756-61561.png)
① 不共面的四点中,其中任意三点不共线;
② 若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052741-58434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022052741-15853.png)
③ 对于四面体ABCD,任何三个面的面积之和都大于第四个面的面积;
④ 对于四面体ABCD,相对棱AB 与CD 所在的直线是异面直线;
⑤ 各个面都是三角形的几何体是三棱锥。
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