已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224615737329744/SYS201311012246157373297016_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224615737329744/SYS201311012246157373297016_ST/1.png)
,其中ω>0,若函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224615737329744/SYS201311012246157373297016_ST/2.png)
,且函数f(x)的图象与直线y=2相邻两公共点间的距离为π.
(Ⅰ)求ω的值;
(Ⅱ)在△ABC中,a、b、c分别是角A、B、C、的对边,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224615737329744/SYS201311012246157373297016_ST/3.png)
,f(A)=1,求△ABC的面积.
考点分析:
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