asinAsinB+bcosA＝√2a,sinAsinB+sinBcosA＝√2sinA,sinAsinB+sinB-sinAsinB＝√2sinA,sinB=√2sinA,sinB/sinA=√2,则sinB/sinA=b/a=√2； c＝b＋√3a,则：c＝2a＋√3a,c=(√6+√2)a/2,由余弦定理得：b=a+c-2accosB,c-√3a=a+c-2accosB,2accosB=a＋√3a,cosB=(1+√3)a/2c=(1+√3)/(√6+√2)=√2/2,B=45°.