非负实数X、Y、Z满足条件:XY+YZ+XZ=1,求证:1/(X+Y)+1/(Y+Z)+1/(X+Z)
证明 当x+y+z=1时,x/yz+y/xz+z/xy≥9
XYZ-XY-XZ+X-YZ+Y+Z-1
xyz-xy-xz+x-yz+y+z-1因式分解
设x,y,z是正实数,且x+y+z=1.求证:(1)xy+yz+xz≤1/3,(2)x√y+y√z+z√x≤√3/3.
若x,y,z都是正实数,且x^2+y^2+z^2=1,则yz/x+xz/y+xy/z的最小值是多少?
已知x,y,z是实数,且xyz=1,求证x^2+y^2+z^2+3大于等于2(xy+xz+yz)
若实数x,y,z满足:xy=1,yz=2,xz=3,求x,y,z的值
实数xyz=1,求证x^2+y^2+z^2+3>=2(xy+xz+yz)
已知x,y,z为非负实数,x+y+z=1,求证:
若实数x,y,z满足x+y+z=5,xy+yz+xz=3,求z的最大值
x+y+z=5,xy+xz+yz=1 ,求Z的最小值和最大值
X,Y,Z为实数,且XY/X+Y=1/3,YZ/Y+Z=1/4,XZ/X+Z=1/5,求XYZ/XY+YZ+XZ的值