题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043922-51494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043922-37763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043922-91848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043922-51494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043922-45105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043923-91509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043923-92774.png)
A.![]() | B.![]() | C.![]() | D.![]() |
答案
解析
试题分析:取
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043924-60242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043924-45051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043924-72625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043925-33018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043925-35988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043925-97312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043925-78375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043926-31781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043926-68585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043926-48632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043923-85418.png)
点评:求解此题还可采用空间向量法,以AC中点为坐标原点,AC为x轴,OB为y轴,OD为z轴建立坐标系,求出点的坐标代入相应公式求解
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043859-24319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043859-58366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043859-53925.png)
(1)当正视方向与向量
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043859-93117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043900-97338.png)
(2)若M为PA的中点,求证:求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043900-98391.png)
(3)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043900-79121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043849-15757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043849-35546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043849-12044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043849-95609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043849-69413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043850-88000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043850-42953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043850-74201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043850-76422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043850-57948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043851-93507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043851-44249.png)
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043851-59230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043850-88000.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043851-79618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043852-51267.png)
(Ⅲ)平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043852-71347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043852-80274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043841-71364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043841-99699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043841-89956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043841-62286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-84960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-79589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-55432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-56185.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-45237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-55432.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043843-52628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-55432.png)
③当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043843-95392.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-55432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043843-66103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043843-62841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043843-60395.png)
④当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043844-98342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-55432.png)
⑤当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043844-20587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043842-55432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043844-14360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043833-74923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043833-18927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043833-86584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043834-77076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043834-81406.png)
(Ⅰ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043834-81086.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043835-78708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043835-16020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022043835-18623.png)
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