已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025125506847254033/SYS201310251255068472540020_ST/0.png)
在[1,+∞)上为增函数,且θ∈(0,π),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025125506847254033/SYS201310251255068472540020_ST/1.png)
,m∈R.
(1)求θ的值;
(2)若f(x)-g(x)在[1,+∞)上为单调函数,求m的取值范围;
(3)设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025125506847254033/SYS201310251255068472540020_ST/2.png)
,若在[1,e]上至少存在一个x
,使得f(x
)-g(x
)>h(x
)成立,求m的取值范围.
考点分析:
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