已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0

题目

已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0

答案

f(x)=√3sin(wx+φ)-cos(wx+φ)=2[√3/2sin(wx+φ)-1/2cos(wx+φ)]=2sin(wx+φ-π/6)对称轴：令wx+φ-π/6=kπ+π/2（k∈Z)解之：x=（kπ+2π/3-φ）/w故两相邻对称轴间的距离为π/|w|=π/2又w>0故w=2又y=f(x)为偶函...