设实数x,y,z满足x+y+2z=6,求x2+y2+z2的最小值,并求此时x,y,z的值求详解！在线等！急！！！

设实数x,y,z满足x+y+2z=6,求的x*x+y*y+z*z最小值,并求此时x,y,z的值. 已知实数x,y,z,满足那么x+y=6,z^2=xy-9,求(x+y)^z 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x,y,z均为实数,且满足:x+2y-z=6,x-y+2z=3.求x+y+z的最小值 实数x、y、z同时满足x^3+y=3x+4;2y^3+z=6y+6;3z^3+x=9z+8设实数x、y、z同时满足x^3＋y＝3x＋4；2y^3＋z＝6y＋6；3z^3＋x＝9z＋8,试求2009(x-1)^2＋2010（y-1）^2+2011(z-1)^2的值 设实数X.Y.Z,满足Y+Z=6-4X+3X^2,X-Y=4-4X+X^2,求X.Y.Z的大小关系 已知实数x,y,z满足x=6-y,z^2-4z+4=xy-9,求x,y,z的值 已知实数x,y,z满足x=6-y,z^2-4z+4=xy-9,求x,y,z的值. 设正实数x,y,z满足x+2y+z=1,则1/(x+y)+9(x+y)/(y+z)的最小值 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 ：设X,Y,Z是正实数,满足XY+Z=(X+Z)(Y+Z),则XYZ的最大值是 设实数x,y,z满足x+y=z-1,且xy=z²-7x+14 ,试求z的最大值和最小值 设实数x,y,z满足x+y=z-1,且xy=z²-7x+14 ,试求z的最大值和最小值 已知实数x,y,z满足x+y+z=2根号x-1+2根号y-1+2根号z-1求X+2Y+3Z 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 已知实数xyz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