若x + 1/y =y + 1/z =z + 1/x,且x,y,z互不相等,则x^2y^2z^2=( )1请主要描述一下解题思路、过程,

已知 x/(y+z)+y/(z+x)+z/(x+y)=1求 (x*x)/(y+z)+(y*y)/(x+z)+(z*z)/(x+y)=? 若|x+3|+|y-2|+|2×z+1|=0求(x×z-y×z)(y-x+z)的值 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 {x+y-z=11 y+z-x=5 z+x-y=1 {x+y-z=11,x-y-z=-5,x-y+z=1 若x,y,z是正实数,且x+y+z=xyz,证明：(y+z/x)+(z+x/y)+(x+y/z)≥2倍的(1/x)+(1/y)+(1/z)的平方 若x,y,z∈R+,且x+y+z=xyz,求证:(y+z)/x+(z+x)/y+(x+y)/z＞2(1/x+1/y+1/z) 若x,y,z∈R,且x+y+z=xyz,求证：(y+z)/x+(z+x)/y+(x+y)/z≥2(1/x+1/y+1/z)^2 若x,y,z都是正实数,且x+y+z=xyz,求证:(y+z)/x+(z+x)/y+(x+y)/z≥2(1/x+1/y+1/z) x+y+z=6 x+2y+3z=14 y+1=z 若x:y:z=3:2:1,则x+2y-z/2x-y+z= 若xyz=1,求证 x^2/(y+z)+y^2/(z+x)+z^2/(x+y)≥3/2 若x：y：z=1:3:5,求分式x+3y-z/x-3y+z的值 若x:y:z=1：3：5,求x+3y-z/x-3y+Z的值. X/Y+Z=Y/X+Z+1=Z/X+Y-1=X+Y+Z,求x+y+z等于多少 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 若x+y+z=0且xyz不等于0,求x(1/y+1/z)+y(1/x+1/z)+z(1/x+1/y)的值