函数f(x)=根号2sin(wx+y)(w>0,且y的绝对值0,且|y| f(x)=√2sin(2x+y)==> f(0)=√2sin(0+y)=1==>y=π/4
∴f(x)=√2sin(2x+π/4)
(2)解析:∵g(x)=f(x+π/8)-a
∴g(x)=√2sin(2x+π/2)-a=√2cos(2x)-a
∵g(x)在x属于[-π/6,π/3]时有两个零点
令g(-π/6) =√2cos(-π/3)-a=√2/2-aa>=√2/2
g(π/3)=√2cos(2π/3)-a=-√2/2-aa>=-√2/2
∴√2/2