已知向量m=（sin,1）,n=（根号3Acosx,2分之Acos2x）函数f（x）=m·n的最大值为6.

1、f(x)=根号3Asinxcosx+A/2*cos2x
=根号3A/2*sin2x+A/2*cos2x
=Asin(2x+π/6)
因为f(x)的最大值为6
所以A=6
2、g(x)=f(2x+π/12)
=6sin(4x+π/3)
x∈[0,5π/24]
4x∈[0,5π/6]
4x+π/3∈[π/3,7π/6]
g(x)∈[3根号3,6]