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【简答题】
已知函数f(x)= m · n ,其中 m =(sinωx+cosωx, cosωx), n =(cosωx-sinωx,2sinωx)(ω>0),若f(x)相邻两对称轴间的距离小于 。 (1)求ω的取值范围; (2)在△ABC中,a,b,c分别是角A,B,C的对边,a= ,b+c=3,当ω最大时,f(A)=1,求△ABC的面积。
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