题目
题型:不详难度:来源:
⑴求证:GH∥平面ABC;
⑵求异面直线GH与AB所成的角.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040640-85638.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040640-72799.png)
(2)∵GH∥BC∴GH与AB所成的角为90°
解析
核心考点
试题【如图,在三棱锥P—ABC中,G、H分别为PB、PC的中点,且△ABC为等腰直角三角形,∠B=90°.⑴求证:GH∥平面ABC;⑵求异面直线GH与AB所成的角.】;主要考察你对向量与空间位置关系等知识点的理解。[详细]
举一反三
(Ⅰ)证明:平面PBE⊥平面PAB;
(Ⅱ)求平面PAD和平面PBE所成二面角(锐角)的大小.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040635-11427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040628-11885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040628-78268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040628-79077.png)
A.平行 | B.相交 | C.异面 | D.以上都有可能 |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040616-67686.png)
① AC∥平面CB1D1;
② AC1⊥平面CB1D1;
③ AC1与底面ABCD所成角的正切值是
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040616-61237.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040616-85952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040616-67686.png)
(Ⅰ)求证:AC⊥BC1;
(Ⅱ)求证:AC1∥平面CDB1.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040609-40070.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040555-16578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040556-41665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040556-21822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040556-71467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040556-49260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040556-30946.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040557-76517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040557-76744.png)
(2) 求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040557-29928.png)
(3) 若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040557-75702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040557-99542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040558-81418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040558-28383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106040558-75699.jpg)
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