若x、y、z满足 y+z/x = z+x/y = x+y/z =k,求k值

若xyz不等于0,且满足(y+z)/x=(x+z)/y=(x+y)/z,求（y+z)（x+z)（x+y)/xyz的值 若xyz不等于0,且满足(y+z)/x=(x+z)/y=(x+y)/z,求（y+z)（x+z)（x+y)/xyz的值 (x+y-z)(x-y+z)= 若xyz满足(y+z)/x=(z+x)/y=(x+y)/z=k,求k的值 若z分之x+y+z=y分之x-y+z=x分之-x+y+z,求xyz分之(x+y)(y+z)(z+x) 若x,y,z满足x/(y+z)=y/(x+z)=z/(x+y)=k,且x+y+z≠0,求k和x/(x+y+z) 若实数XYZ满足2|x-y|+√2y+z+z方-z+1//4=0 求X+Y+Z 2y+z在根号里 已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值 已知x、y、z满足方程组：x+y-z=6；y+z-x=2；z+x-y=0 求x、y、z的值 已知X.Y.Z满足方程组,X+y-Z=6y+z-x=2z+x-y=0求X.Y.Z的值 已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值 已知整数x,y,z满足(x-y)(y-z)(z-x)=x+y+z,证明:x+y+z是27的倍数 X+Y+Z=? x/y=(x+z)/(y+z)y/z=(x+y)/(x+z) 若x、y、z满足 y+z/x = z+x/y = x+y/z =k,求k值 若x,y,z满足x分之y+z=y分之z+x=z分之x+y=k,求k的值. 若x、y、z满足x分之y+z=y分之z+x=z分之x+y=k,求k的值 若x、y、z满足 y+z/x=z+x/y=x+y/z=k 求k的值