知f(x)=2sin(2wx+π/6),的对称轴
2wx+π/6=kπ+π/2
x=kπ/(2w)+π/6w
若直线x=π/3是函数f(x)图像的一条对称轴,
kπ/(2w)+π/6w=π/3 k∈Z
w=(3k+1)/2 k∈Z