F(X)=2acos²x+根号3asin2x+a²
=a[cos2x+1]+根号3asin2x+a^2
=a[2(1/2cos2x+根号3/2sin2x)]+a^2
=2asin(2x+30)+a^2
所以,最小正周期T=2π/2=π
2.
当a>0时,最小值=-2a+a^2
F(X)=2acos²x+根号3asin2x+a²
=a[cos2x+1]+根号3asin2x+a^2
=a[2(1/2cos2x+根号3/2sin2x)]+a^2
=2asin(2x+30)+a^2
所以,最小正周期T=2π/2=π
2.
当a>0时,最小值=-2a+a^2