题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051945-22304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051945-44956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051945-56482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051945-85736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051946-97387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051946-37835.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051946-98384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051946-63785.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051947-73390.png)
(3)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051947-60494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051946-63785.png)
答案
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051947-49808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051947-43881.png)
解析
试题分析:(1)取
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051948-14178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051948-72445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051948-79329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051948-89801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051948-65605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051949-19357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051949-94378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051949-66339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051949-24456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051950-83637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051949-24456.png)
取
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051950-78800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051950-10874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051948-72445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051950-98856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051950-51345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051951-64773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051951-20704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051951-15864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051951-42711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051951-29858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051952-28168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051952-77668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051952-76340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051952-13905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051953-75056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051953-14176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051953-12290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051953-38842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051953-77566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051954-62784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051954-78650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051954-21447.png)
(2)设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051954-66963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051955-51096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051955-90777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051955-56764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051955-16701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051955-10134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051956-51143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051956-73041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051956-24591.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051956-34781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051957-51841.png)
由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051957-25466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051954-21447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051957-33637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051954-21447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051957-93187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051958-80240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051958-44342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051947-49808.png)
(3)由(2),
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051958-99051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051954-21447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051958-22952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051958-80240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051958-64200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051954-21447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051947-43881.png)
点评:解决的关键是能合理的建立坐标系,结合点的坐标,得到向量的坐标,从而得到法向量的坐标,借助于向量的数量积来求解,属于基础题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051935-63505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051935-67186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051936-81887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051936-34788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051936-37809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051936-20694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051936-55669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051936-20694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051937-88125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051937-64891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051937-41134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051937-38088.jpg)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051924-45836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051924-79128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051924-73037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051924-70289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051925-69804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051925-12685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051925-41470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051925-67558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051918-10699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051918-85924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051918-62186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051918-40900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051911-31851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051911-74777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051911-55099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051911-19616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051911-20275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051912-15104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051912-65846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051912-56548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051903-12654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051904-15342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051904-83583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051904-27700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051904-62282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051905-39787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051905-72654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051905-35835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022051905-82407.png)
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