题目抄错了吧,应该是(b-c)sinA+(c-a)sinB+(a-b)sinC=0吧
由正弦定理 a/sinA=b/sinB=c/sinC=k
a=ksinA b=ksinB c=ksinC
代入(b-a)sinA-(c-a)sinB+(a-b)sinC
=k(sinB-sinA)sinA-k(sinC-sinA)sinB+k(sinA-sinB)sinC
展开合并即可.
题目抄错了吧,应该是(b-c)sinA+(c-a)sinB+(a-b)sinC=0吧
由正弦定理 a/sinA=b/sinB=c/sinC=k
a=ksinA b=ksinB c=ksinC
代入(b-a)sinA-(c-a)sinB+(a-b)sinC
=k(sinB-sinA)sinA-k(sinC-sinA)sinB+k(sinA-sinB)sinC
展开合并即可.