1、A=π/6 (1+√3)*c=2b 即 (1+√3)*sinC=2sinB
sinB=sin(5π/6-C)=0.5cosC+0.5√3sinC
2sinB=cosC+√3sinC=(1+√3)*sinC cosC=sinC C=45°
2、由正弦定理
b=0.5*√2*(1+√3)a
c=√2a
(CB向量)*(CA向量)=ab*cosC=0.5*√2*(1+√3)a*a*0.5*√2=1+√3
a=2√2 c=4 b=2+2√3