∵函数y=√3cosx+sinx=2sin(x+π/3)
1)将其图像左移m得y=2sin(x+m+π/3)
2)∵y=2sin(x+m+π/3)关于Y轴对称,即是偶函数
∴y=2sin(x+m+π/3)=±2cosx
∴m+π/3=±π/2==>m=-5π/6或m=π/6
∵m>0
∴m=π/6
∵函数y=√3cosx+sinx=2sin(x+π/3)
1)将其图像左移m得y=2sin(x+m+π/3)
2)∵y=2sin(x+m+π/3)关于Y轴对称,即是偶函数
∴y=2sin(x+m+π/3)=±2cosx
∴m+π/3=±π/2==>m=-5π/6或m=π/6
∵m>0
∴m=π/6