x,y,z是实数,并且满足x+y+z=0,xyz=2,求|x|+|y|+|z|的最小值.

x,y,z是实数,并且满足x+y+z=0,xyz=2,求|x|+|y|+|z|的最小值. ：设X,Y,Z是正实数,满足XY+Z=(X+Z)(Y+Z),则XYZ的最大值是 正实数x,y,z 满足x+y+z=1 证明正实数x,y,z 满足x+y+z=1 证明2x+y≤1 2y+x≤1 2z+x≤1题目错了，是正实数x,y,z 满足x+y+z=1 证明1/(2x+y)+1/(2y+x)+1/(2z+y)-3≥0 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满足关系式2x-3y-z=0,x-2y+z=0,求x比y比z的值 实数x,y,z满足（x-z)的平方减4（x-y)（y-z）=0求证z+x-2y=0 已知实数 x y z 满足x+y-z=0 ,3x-y+2z=0 则x :y :z 已知三个实数x,y,z满足条件(z-x)^2-4(x-y)(y-z)=0,求证:x,y,z成等差数列 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 已知实数x,y,z满足2｜x-y｜+√2y+z+z2-z+1/4=0求x+y+z的值 已知,实数x,y,z满足x+y+z=0,xy+yz+zx=-3,求z的最大值 已知实数X,Y,Z,满足X^2-2X+Y=Z-1,且X+Y^2+1=0,试比较X,Y,Z的大小. 实数x,y,z满足x=y+根号2,2xy+2*根号2*z*z+1=0,则x+y+z等于多少这是道奥赛题, 已知实数x,y,z满足:3x-y-3z=0和x-6y+6z=0(z≠0),则代数式x+y+z/x-y+z的值等于 当x+y+z不等于零,求(x+y)/z的值,并写出一组满足条件的x,y,z的数值.已知x,y,z为实数,x/(y+z)=y/(z+x)=z/(x+y). 已知实数X.Y.Z满足(Y+Z)分之X+(Z+X)分之Y+(X+Y)分之Z=1,则(Y+Z)分之X平方+(Z+X)分之Y平方+(X+Y)分之Z平方的值为（ ） 已知实数x,y,z满足x+y+z=1,x^2+y^2+z^2=1/2求X,Y,Z∈{0,2/3},已知实数x,y,z满足x+y+z=1,x^2+y^2+z^2=1/2求证X,Y,Z∈{0,2/3},