题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040528-29137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040528-12957.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-55329.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-72607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-29386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-22595.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-27268.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-72607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040530-58370.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040530-60622.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040530-25266.gif)
(1)求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-27268.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040530-22548.gif)
(2)求平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-57249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-96616.gif)
(3)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-89133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-57249.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-21318.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-40349.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040532-38466.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040532-46552.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040532-28273.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040532-36537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040533-66758.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040533-86697.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040533-74465.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040533-89224.gif)
由已知
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040528-12957.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040533-42391.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040534-61884.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040534-49645.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-29386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-72607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040529-29386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040534-91096.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040534-73659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040534-27217.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040535-99332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040535-92797.gif)
(I)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040535-30175.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040535-54662.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040535-65404.gif)
易知异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040536-49561.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040536-67257.gif)
(II)易知平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-96616.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040536-82673.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040536-97932.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-57249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040537-27880.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040537-97940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040537-20481.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040537-75129.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040537-94556.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040538-99615.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-57249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-96616.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040538-86447.gif)
(III)点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-89133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-57249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040538-34906.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-57249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040538-38081.gif)
所以距离
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040539-33000.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040539-53180.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-89133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040531-57249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040539-64618.gif)
核心考点
试题【如图,已知长方体直线与平面所成的角为,垂直于,为的中点.(1)求异面直线与所成的角;(2)求平面与平面所成的二面角;(3)求点到平面的距离.】;主要考察你对空间几何体的结构特征等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040518-62412.gif)
(Ⅰ)证明:CD⊥平面BEF;
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040519-86802.gif)
求k的值.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040519-35209.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040507-69922.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040508-23374.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040508-41733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040508-67562.gif)
(1) 求直线AE与平面CDE所成的角;
(2) 求证:MN//平面CDE。
(1)若面PAD与面ABCD所成的二面角为60°,求这个四棱锥的体积;
(2)证明无论四棱锥的高怎样变化,面PAD与面PCD所成的二面角恒大于90°
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040450-38984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040450-48027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040450-38984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040451-97997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040451-64177.gif)
(I) 求三棱锥D—ABC的体积;
(2)求二面角D—AC—B的大小;
(3)求异面直线AB、CD所成的角.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040451-96626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040451-81349.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021040446-10432.jpg)
D、F分别为AC、PC的中点,DE⊥AP于E.
(1)求证:AP⊥平面BDE;
(2)求证:平面BDE⊥平面BDF;
(3)若AE∶EP=1∶2,求截面BEF分三棱锥
P—ABC所成两部分的体积比.
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