sinAsinB+√3sinAcosB=√3sin(A+B)=√3sinAcosB+√3cosAsinB
sinA=√3cosA
sin(A-60°)=0
A=60°
则bcsinA*1/2=3√3
bc=12
a^2=b^2+c^2-2bccosA≥4bc-bc=3bc=36
a≥6
amin=6
sinAsinB+√3sinAcosB=√3sin(A+B)=√3sinAcosB+√3cosAsinB
sinA=√3cosA
sin(A-60°)=0
A=60°
则bcsinA*1/2=3√3
bc=12
a^2=b^2+c^2-2bccosA≥4bc-bc=3bc=36
a≥6
amin=6