已知abc不等于0,且a/b=b/c=c/a,则(3a+2b+c)/ (a-2b-3c)=________急用

Question

已知abc不等于0,且a/b=b/c=c/a,则(3a+2b+c)/ (a-2b-3c)=________
急用

Answer 1

设a/b=b/c=c/a=k
(a/b)(b/c)(c/a)=k^3
1=k^3
k=1
所以a=b=c
代人（3a+2b+c)/(a-2b-3c）=（3b+2b+b)/(b-2b-3b)=-3/2