函数fx=Asin(wx+派/6)的最大值为2,其图像相邻两对称轴之间的距离为派/3

∵函数f(x)=Asin(wx+π/6)的最大值为2∴A=2又∵图像相邻两对称轴之间的距离为π/3∴T/2=π/3即T=2π/3又∵最小正周期为：T=2π/w即2π/w=2π/3∴w=3∴函数为：f(x)=2sin(3x+π/6)即f(2π/3)=2sin(3*2π/3+π/6)=2sin(2π+π/6)=2sin(π/6)=1