已知xyz=1,x+y+z=2,x方+y方+z方=16,求xy+1/2z+yz+1/2x+zx+1/2y=?

已知xyz属于R,x+y+z=1,求证x方+y方+z方大于等于1/3 已知xyz满足|x-2|+(y+3)方=0z是最大的负整数化简求值:2(x方y+xyz-3(x方y-xyz)-4x方y 已知4X-3Y-6Z=0,X+2Y-7X=0（XYZ≠0）,则X方+5Y方+7Z方分之2X方+3Y方+6Z方等于? 已知4x-3y-6z=0,x+2y-7z=0(xyz不等于0)则2x方+3x方+6x方/x方+5y方+7z方的值为( ) 已知x,y,z>0,xyz(x+y+z)=1,求证（x+y）(x+z)>=2 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x^2+y^2+z^2=1,求证x+y+z-2xyz 已知xyz=1,x+y+z=2,x方+y方+z方=16,求xy+1/2z+yz+1/2x+zx+1/2y=? 已知XYZ属于R,且X+Y+Z=1,X方+Y方+Z方=1/2,证明X,Y,Z属于0到2/3(闭区间) 已知 (x+y-z)/z=(x-y+z)/y=(y+z-x)/x,且xyz≠0,求代数式 ((x+y)(y+z)(x+z))/xyz x+y+z+2=xyz,x,y,z.为正实数,证明：xyz(x-1)(y-1)(z-1) 设xyz∈r+,x+y+z=1,求x乘y方乘z方的最大值 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都是正数,且xyz=1,求证：x^2/(y+z)+y^2/(x+z)+z^2/(x+y)≥3/2 已知x、y、z满足x+y+z=xyz,求证：x(1-y^2)(1-z^2)+y(1-x^2)(1-z^2)+z(1-x^2)(1-y^2)=4xyz 已知X+Y+Z=0,求（X+Y)(Y+Z)(X+Z)+XYZ的值. 已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值 已知x+y+z=0,求(x+y)(y+z)(x+z)+xyz的值