已知实数X,Y,Z满足x+2y+3z=1,则x^2+y^2+z^2的最小值是多少?麻烦写下解析

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xyz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+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}, 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 x y z 满足x+y-z=0 ,3x-y+2z=0 则x :y :z 已知非负实数x,y,z满足x+y+z=3 (2),求证x^2/(1+x^4)+y^2/(1+y^4)+z^2/(1+z^4)≤1/(1+x)+1/(1+y)+1/(1+z) 已知实数x,y,z满足：x/（x+1）=y/（y+2）=z/（z+3）=（x+y+z）/3,则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,则x+y+z= 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+2y+3z=1,则x^2+y^2+z^2的最小值是多少?麻烦写下解析 已知实数x、y、z满足：2x+3y+z=1,则x²+y²+z²的最小值为 已知实数xyz满足x/y+z+y/z+x+z/x+y=1求x^2/y+z+y^2/z+x+z^2/x+y的值 纠正下！：已知实数xyz满足（x/y+z）+（y/z+x）+（z/x+y）=1求（x^2/y+z）+（y^2/z+x）+（z^2/x+y）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^2-2X+Y=Z-1,且X+Y^2+1=0,试比较X,Y,Z的大小. 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xyz满足|x-2y|+2√(2y+z)+z-2z+1=0,求x+y+z的值