题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053141-82700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053142-82337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053142-28018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053142-85473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053142-63340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053142-34180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053143-23737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053143-29224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053143-67702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053143-67935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053143-89998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053144-71955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053144-76036.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053144-16005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053142-82337.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053144-26316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053144-83714.png)
(3)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-53137.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-59893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-93121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-90391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-90391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-98995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-24302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-31368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-40204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-31368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-64816.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-12919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-68085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-73176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-50105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-64816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053144-26316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-73176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-93121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-46416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-55876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-32443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-64434.png)
(3)1
解析
试题分析:(1)方法1:设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-59893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-93121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-90391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-90391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-98995.png)
所以四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-24302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-31368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-40204.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-31368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-64816.png)
方法2:连接
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053149-41350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053149-85784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053149-85784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053149-88615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053149-55087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053150-15008.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053150-56317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053150-23023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053150-95007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053150-28272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053151-89060.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053151-11012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053150-56317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053149-41350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053151-44589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-31368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053150-15008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053150-15008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053151-72775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-64816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-31368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053151-54150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-64816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-31368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-64816.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-12919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-68085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-89883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-73176.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-50105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053146-64816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053144-26316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053147-73176.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053145-93121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-46416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-55876.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-32443.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053148-64434.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053152-94483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053152-65897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053152-44541.png)
点评:高考中常考查空间中平行关系与垂直关系的证明以及几何体体积的计算,这是高考的重点内容.证明的关键是熟练掌握并灵活运用相关的判定定理与性质定理.
核心考点
试题【(本小题满分12分)已知直三棱柱中,△为等腰直角三角形,∠ =,且=,、、分别为、、的中点.(1)求证:∥平面;(2)求证:⊥平面;(3)求三棱锥的体积.】;主要考察你对线线角等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053131-51848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053131-52832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053131-12705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053131-28341.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053131-91474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053132-52797.jpg)
(1)在线段DC上是否存在一点F,使得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053132-37060.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053132-58238.png)
如图,边长为a的正方体ABCD-A1B1C1D1中,E为CC1的中点.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053118-53071.png)
(1)求直线A1E与平面BDD1B1所成的角的正弦值
(2)求点E到平面A1DB的距离
A.![]() | B.![]() | C.![]() | D.![]() |
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053101-19287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053102-73629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022053102-69056.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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