已知a=x/y+z,b=y/z+x,c=z/x+y,且xyz≠0,x+y+z=0,求a/a-1+b/b-1+c/c-1的值

已知a=x/y+z,b=y/z+x,c=z/x+y,且xyz≠0,x+y+z=0,求a/a-1+b/b-1+c/c-1的值
已知a=x/y+z,b=y/z+x,c=z/x+y,且xyz≠0,x+y+z=0,求a/a-1+b/b-1+c/c-1的值

已知a=x/y+z,b=y/z+x,c=z/x+y,且xyz≠0,x+y+z=0,求a/a-1+b/b-1+c/c-1的值
已知a=x/(y+z),b=y/(z+x),c=z/(x+y),且xyz≠0,x+y+z=0,求a/(a-1)+b/(b-1)+c/(c-1)的值
∵x+y+z=0,∴y+z=-x,z+x=-y,x+y=-z；
故a=x/(y+z)=x/(-x)=-1；b=y/(z+x)=y/(-y)=-1；c=z/(x+y)=z/(-z)=-1
∴a/(a-1)+b/(b-1)+c/(c-1)=1/2+1/2+1/2=3/2

a=x/y+z，b=y/z+x，c=z/x+y，且xyz≠0，x+y+z=0，
a=x/-x=-1
b=y/z+x=y/-y=-1
c=z/x+y=z/-z=1
a/a-1+b/b-1+c/c-1
=-1/(-1-1)-1/(-1-1)-1/(-1-1)
=1/2+1/2+1/2
=3/2

题目能说清楚点不，a = x/y+z,这里有没有括号，还有求解 a/(a-1)是吧