题目
题型:不详难度:来源:
如图,在直三棱柱ABC—A1B1C1中,∠ACB=90°,AC=BC=CC1=2。
(3)求二面角C1—AB1—A1的大小。
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012905-60874.gif)
(1)证明:解:如图建立直角坐标系,其为C为坐标原点,依题意A(2,0,0),B(0,2,0),
A1(2,0,2),B1(0,2,2),C1(0,0,2)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012905-60874.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012905-73365.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012905-30196.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012905-45350.gif)
(2)解:
设
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012906-20977.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012906-80778.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012906-30324.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012906-81432.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012906-91208.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012907-32053.gif)
(3)解设
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012907-80252.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012907-30671.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012907-71185.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012908-70383.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012908-51401.gif)
解析
核心考点
试题【 (本小题12分)如图,在直三棱柱ABC—A1B1C1中,∠ACB=90°,AC=BC=CC1=2。 (1)证明:AB1⊥BC1;(2)求点B到平面AB1C1的】;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
如图, 在三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012853-52891.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012853-60140.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012853-46645.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012854-11156.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012854-12102.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012854-59054.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012854-76868.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012855-46660.jpg)
(1) 求证
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012855-42830.gif)
(2) 求证
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012855-78849.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012855-25843.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012855-38103.gif)
已知梯形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012836-37181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012836-37814.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012836-24987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012837-87683.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012837-78596.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012837-81230.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012837-16415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012838-73130.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012838-70381.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012836-24987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012838-43094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012838-12526.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012836-24987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012838-70381.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012836-37181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012838-76201.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012839-13078.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012839-92432.jpg)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012839-53219.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012839-38856.gif)
(Ⅱ)以
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012840-66113.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012840-61985.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012840-61985.gif)
(Ⅲ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012840-61985.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012840-38620.gif)
如图5,在三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-44954.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-90122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-58236.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-62186.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-27029.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-90327.gif)
(1) 求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-37917.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-36280.gif)
(2)若四棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012820-50386.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012821-42464.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012821-84226.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012821-14463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012805-55307.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012805-11315.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012806-90290.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012806-46841.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012806-89287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012806-40157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021012806-87158.gif)
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