题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045519-64042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045519-68674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045520-95117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045520-67524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045519-68674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045520-26217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045520-15992.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-93121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-59614.png)
(2)线段
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-60892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-77871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-43075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-76042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-85336.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-85336.png)
解析
试题分析:解:(1)在正方形
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045519-68674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-78870.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-81765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045523-36106.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045523-34434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045520-95117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045523-86517.png)
又∵平面
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045520-67524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045519-68674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045523-81615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045520-95117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045524-27813.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045524-64693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-93121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-59614.png)
(2)存在线段
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-60892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-77871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-43075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-76042.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-77871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045521-60892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045519-64042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045524-36011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045524-20817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045524-38884.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045525-15865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-76042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045525-18854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-76042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-43075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-76042.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045522-85336.png)
点评:主要是考查了线面的位置关系的运用,属于基础题。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045512-57601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045512-98631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045512-68100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045513-62997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045513-98631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045513-76923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045513-35567.png)
(Ⅰ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045513-93495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045514-15317.png)
(Ⅱ)求异面直线BS与AC所成角的大小.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045507-92789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045507-77822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045507-34313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045508-99374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045508-65117.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045456-74107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045457-30678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045457-65577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045457-71748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045457-50172.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045452-25285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045452-29573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045453-74581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045453-39729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045453-65060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045453-64636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045453-14205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045454-26205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045453-64636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045454-86374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045454-38825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045443-90444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045443-74012.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045443-25559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045443-91892.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045443-73297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045443-27645.png)
(2)在线段
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045443-88571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045443-92214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045444-79567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045444-50649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045444-10774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045444-83554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022045445-21129.png)
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