题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044157-31441.png)
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①若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044157-31441.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044157-37705.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044157-31441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044157-73965.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044157-31441.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044157-95850.png)
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A.①② | B.②③ | C.①④ | D.③④ |
答案
解析
试题分析:判断线与线、线与面、面与面之间的关系,可将线线、线面、面面平行(垂直)的性质互相转换,进行证明,也可将题目的中直线放在空间正方体内进行分析.解:根据平行直线的传递性可知①正确;在长方体模型中容易观察出②中a、c还可以平行或异面;③中a、b还可以相交;④是真命题,故答案应选:C
点评:在判断空间线面的关系,常常把他们放在空间几何体中来直观的分析,在判断线与面的平行与垂直关系时,正方体是最常用的空间模型,大家一定要熟练掌握这种方法
核心考点
试题【用、、表示三条不同的直线,表示平面,给出下列命题:①若∥,∥,则∥; ②若⊥,⊥,则⊥;③若∥,∥,则∥; ④若⊥,⊥,则∥.A.①②B.②③C.①】;主要考察你对线线角等知识点的理解。[详细]
举一反三
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①若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044152-22407.png)
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③若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044154-32367.png)
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其中真命题的序号是( )
A.①② | B.③④ | C.①④ | D.②③ |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044145-16811.png)
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(Ⅰ) 用几何法证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044137-89221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044135-98441.png)
(Ⅱ)用几何法证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044137-22999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044135-22732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044120-99654.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044120-24773.jpg)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044121-50130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044121-30936.png)
(Ⅱ)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044121-25760.png)
(Ⅲ)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044121-53452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044121-30936.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044115-48088.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044115-95998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044115-31441.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044115-11941.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044115-11024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044115-19667.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044115-19667.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044116-17364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044116-81277.png)
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④若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022044116-48888.png)
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上述命题中的真命题是__________.
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