已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0
问题描述:
已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0
答
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...