题目内容
已知直线
,平面
,且
,
,给出下列四个命题:
①若
∥
,则
;②若
,则
∥
;
③若
,则
∥
;④若
∥
,则
;
其中为真命题的序号是_______
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945779423.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945795450.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945811420.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945826505.png)
①若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945842310.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945857339.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945889433.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945889433.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945842310.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945857339.png)
③若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945967464.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223946091280.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223946263337.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223946091280.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223946263337.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945967464.png)
其中为真命题的序号是_______
(1),(4);
解:因为
①若
∥
,则
;成立
②若
,则
∥
;不成立,可能相交,
③若
,则
∥
;不成立,可能相交
④若
∥
,则
;成立,符合面面垂直的判定
①若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945842310.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945857339.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945889433.png)
②若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945889433.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945842310.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945857339.png)
③若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945967464.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223946091280.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223946263337.png)
④若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223946091280.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223946263337.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823223945967464.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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