A最大,C最小<==>a>b>ca+c=2ba:b:c=sinA:sinB:sinC2RsinC+2Rsin(2C)=4Rsin(180-3C)siaC+sin2C=2sin3C三倍角公式(sin3a=3sina-4sin3次方)化简==>4(cosC)^2+2cosC-3=00所以cosC=(根号13-1)/4a:b=sinC:sin2C=1:2cosC=1:(根号13-1)/2a:c=a:(2b-a)=1:(根号13-2)a:b:c=1:(根号13-1)/2:(根号13-2)