y=(1/2)sinx+(√3/2)cosx=sinxcos(π/3)+cosxsin(π/3)=sin(x+π/3)
当x+π/3=π/2+2kπ时,函数y(x)取最大值1
x=π/6+2kπ
取最大值的集合是：
{x|x=π/6+2kπ,k∈Z}