y+z分之x=x+z分之y=x+y分之z,即x/(y+z)=y/(x+z)=z/(x+y)所以,x²+xz=y²+yz,即(x-y)(x+y+z)=0y²+xy=z²+xz,即(y-z)(x+y+z)=0若x=y=z满足x/y+z=y/x+z=z/x+y所以(x+y)/z的值为2例如:1,1,1若x+y+z=0也满足x/y+z=y/x+z=z/x+y所以(x+y)/z的值为-1例如:1/3,1/3,-2/3所以,x/y+z的值为-1或2.
x/y+z的值为-1或2.