f(x)=2*(1/2)sinx+√3/2cosx
=2sin(x+π/6)
T=2π/1=2π
f(x)max=2
此时,x+π/6=kπ+(π/2)
x=kπ+(π/3) k∈整数
增区间：
kπ-（π/2）≤x+π/6≤kπ+（π/2）
kπ-(2π/3) ≤x≤kπ+(π/3)