题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024141-71134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024142-29769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024142-27892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024142-86713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024142-97588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024143-46996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024143-56010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024143-92544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024143-21570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024144-54341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024144-10533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024144-61990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024144-26802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024145-69860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024145-55134.png)
(1)求过点P,C,B,G四点的球的表面积;
(2)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024145-98461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024145-95051.png)
(3)在棱
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-53153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-11863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-61601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-11156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024147-35733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-11863.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024147-39900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024147-51709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024147-10209.png)
解析
试题分析:(1)首先由四面体
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024144-26802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-83815.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-92004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-92004.png)
(2)由于面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-21856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-79213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-11863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-61414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-53153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-61414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-61601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-11156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024147-35733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-61601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024149-87329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-61414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024149-50348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024149-87329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024149-81183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024150-15221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024149-81183.png)
试题解析:(1)由四面体
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024144-26802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024145-69860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-83815.png)
以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-92004.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024150-37061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024150-78771.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024150-52218.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024144-54341.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024151-83072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024151-71316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024151-63788.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024151-37413.png)
由平面几何知识可知:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024152-71849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024152-25778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024145-98461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024145-95051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024152-54216.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024147-51709.png)
(3)假设
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024146-11863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024148-61414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024149-50348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024149-87329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024149-81183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024150-15221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024143-92544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024152-41710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024152-70913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024153-52677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024153-36761.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024147-10209.png)
核心考点
试题【如图四棱锥中,底面是平行四边形,平面,垂足为,在上且,,,是的中点,四面体的体积为.(1)求过点P,C,B,G四点的球的表面积;(2)求直线到平面所成角的正弦值】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024132-62283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024132-19989.png)
A.若![]() | B.若![]() ![]() |
C.若![]() | D.若![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024123-96386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024123-75287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024123-35574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024123-79540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024123-41771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024123-68663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024124-81814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024123-68663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024123-41771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024124-21749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024105-29379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024105-45475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024105-51040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024106-96048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024106-56076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024106-88378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024106-94590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024107-75751.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024107-25968.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024107-71144.png)
(3)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024107-28078.png)
A.m∥α,n∥α | B.m⊥α,n⊥α |
C.m∥α,n⊂α | D.m、n与α所成的角相等 |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106024049-30480.png)
(1)求证:B1D1∥平面A1BD;
(2)求证:MD⊥AC;
(3)试确定点M的位置,使得平面DMC1⊥平面CC1D1D.
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