题目
题型:不详难度:来源:
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021409-83003.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
(2)求正方形的边长;
(3)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-75923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-95092.jpg)
答案
(1)略
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-48510.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-37593.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-15835.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-20464.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-83312.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-20464.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-44313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021412-85663.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021412-18186.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-83312.gif)
在正方形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021412-46628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021412-61340.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021413-18417.jpg)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021413-81753.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021413-60539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021413-93336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021412-46628.gif)
∴平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021409-83003.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021414-49645.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021413-60539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021414-42312.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
∴.
∴为圆
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-20464.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021414-58648.gif)
设正方形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021412-46628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021414-81135.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021414-32081.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021415-90671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021415-44073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021415-47040.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021415-90671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021415-17060.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021416-85759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-48510.gif)
(3). 过点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021416-54824.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021416-88565.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021416-94587.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021416-37827.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021417-32822.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021417-70511.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021417-32920.gif)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021417-71333.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021417-98104.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021418-38755.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021418-81797.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021418-81417.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021412-46628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021418-73068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021412-46628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021419-67460.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021419-89603.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021419-19697.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021419-28801.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021419-98020.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021420-91450.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021419-98020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021420-79341.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021420-91357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-75923.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021415-90671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-44257.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021420-41095.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021421-21653.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021421-50005.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021421-22230.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021421-43734.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021415-90671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021419-98020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021421-40676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021422-56304.gif)
故二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021410-75923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021411-37593.gif)
核心考点
试题【(1)求证:平面平面;(2)求正方形的边长;(3)求二面角的平面角的正切值.】;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/20191021/20191021021401-57520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021401-69386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021402-66089.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021402-85974.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
等边
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021350-61657.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021350-76114.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021351-60803.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021351-32793.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021351-46922.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021351-29547.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021352-51596.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021352-47471.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021352-22293.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021352-20110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021353-53593.gif)
(I)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021352-20110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021353-66668.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021353-11524.gif)
(II)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021353-51261.gif)
已知三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021339-16073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021340-67575.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021340-73237.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021340-64797.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021340-91271.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021341-52579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021341-17206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021341-98558.jpg)
(1)求证
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021341-14477.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021342-38846.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021343-53062.gif)
(II)当点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021341-52579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021343-94787.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021343-22235.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021341-52579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021343-41115.gif)
(III)在(II)的条件下,试确定线段
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021343-75288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021344-90341.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021344-18983.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021344-31689.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021332-49727.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021332-18734.gif)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021333-35527.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021333-52138.gif)
求AE与平面PDB所成的角的大小.
(I)求证:C1D//平面ABB1A1;
(II)求直线BD1与平面A1C1D所成角的正弦值;
(Ⅲ)求二面角D—A1C1—A的余弦值。
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021021322-48375.gif)
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