试题分析:(1)由2x-3>0得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610816737.png)
, (1分) 由
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610832662.png)
得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610848795.png)
,(2分)所以
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408240036107541052.png)
,(4分)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610770366.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610785775.png)
(6分) 评分的时候注意区间的开闭
(2)当
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610910469.png)
时,应有
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610926760.png)
,(8分)
当
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610941487.png)
时,应有
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408240036109571452.png)
,(10分)
所以
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610738283.png)
的取值范围为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824003610801505.png)
(12分).
点评:解答此类题型的主要策略有以下几点:①能化简的集合先化简,以便使问题进一步明朗化,同时掌握求解各类不等式解集方法,如串根法、零点分区间法、平方法、转化法等;②在进行集合的运算时,不等式解集端点的合理取舍是难点之一,可以采用验证的方法进行取舍;③解决含参数不等式与集合问题,合理运用数轴来表示集合是解决这类问题的重要技巧.