已知非零有理数a,b,c满足a+b+c=0,求a/b+c+b/a+c+c/b+a的值?

Answer 1

a＋b＋c=0 a＋b=－c,b＋c=－a,a＋c=－b
a／﹙b＋c﹚＋b／﹙a＋c﹚＋c／﹙a＋b﹚
=a／﹙－a﹚＋b／﹙－b﹚＋c／﹙－c﹚
=－3