1.若x,y,z属于(0,1)求证x(1-y)+y(1-z)+z(1-x)<1
1.若x,y,z属于(0,1)求证x(1-y)+y(1-z)+z(1-x)<1
已知xyz属于R+,x+y+z=1,求证x^3/(y(1-y))+y^3/(z(1-z))+z^3/(x(1-x))大于
1/x+1/y+1/z=1.x,y,z,属于不同自然数 y,
1.已知x,y,z满足2│x-y│+(根号2y-z)+z平方-z+(1/4)=0,求x,y,z值.
已知x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求代数式x2/(y+z)+y2/(x+z)+z2/
已知实数x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求x2/(y+z)+y2/(z+x)+z2/(
因式分解x³(x+1)(y-z)+y³(y+1)(z-x)+z³(z+1)(x-y)
已知x,y,z满足xyz=1,求证x^3/(x+y)+y^3/(y+z)+z^3/(z+x)大于等于3
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)+y/(z+x)+z/(x+y)=1
x+y+z=1 求xyz/(x+y)(y+z)(z+x)的最大值
已知x+y+z=3,且(x-1)^3+(y-1)^3+(z-1)^3=0,求证:x,y,z中至少有一个为1.