题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-85104.gif)
DB⊥平面ABC,AC⊥BC,且AC=BC=BD=2AE=2,M是AB的中点.
(Ⅰ)求证:CM⊥EM ;
(Ⅱ)求多面体ABCDE的体积
(Ⅲ)求直线DE与平面EMC所成角的正切值.
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-14732.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-57676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-63477.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-40895.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-84079.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-69139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-11015.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-57676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-12127.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-54598.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-69139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-15566.gif)
(II)解:连结
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-30360.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-53569.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-36146.gif)
在直角梯形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-43809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044238-46327.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-40895.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-84079.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-69139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044238-73141.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044238-88371.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044238-53047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-69139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044238-55212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044236-57676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044238-15899.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044239-42138.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-69139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044239-99170.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-69139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044239-35249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044239-62417.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044237-69139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044239-10017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044240-81680.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044239-62417.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044240-46558.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044238-53047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044238-88371.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044240-42753.gif)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044240-81680.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044239-62417.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044240-47500.gif)
核心考点
试题【在如图所示的几何体中.EA⊥平面ABC,DB⊥平面ABC,AC⊥BC,且AC=BC=BD=2AE=2,M是AB的中点.(Ⅰ)求证:CM⊥EM ;(Ⅱ)求多面体A】;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/20191021/20191021044230-86354.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044218-96721.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044218-31520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044218-27038.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-28937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-10152.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-91703.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-90152.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-87137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-38285.gif)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-21977.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-78470.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-26045.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-39439.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044219-53255.gif)
的取值范围。
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044203-31910.gif)
(Ⅰ)求证:AD∥平面A1BC;
(Ⅱ)求证:平面A1MC⊥平面A1BD1;
(Ⅲ)求点A到平面A1MC的距离。
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044203-86379.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044155-19390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044155-65946.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044155-19374.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044155-65946.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044155-75484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044156-66901.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044156-16659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044156-66073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044139-63775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044139-12826.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044139-66312.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044139-95557.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044139-27613.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044139-98702.gif)
(Ⅰ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044140-69126.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044140-98163.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044140-97502.gif)
(Ⅱ)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044140-39913.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044140-85009.gif)
(Ⅲ)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021044140-91418.gif)
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