x+y+z=1 求证√(3X+1)+√(3Y+2)+√(3Z+3)≤3√3
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.
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>0,求证:√3/3(x+y+z)
已知x,y,z 大于0,x+y+z=2,求证 xz/y(y+z)+zy/x(x+y)+yx/z(z+x)大于等于2/3
若有理数x,y,z满足√x+√y-1+√z-2=1/2(x+y+z) 确定(x-yz)^3
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
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xyz均为实数,若x+y+z=1求证√3x+1√3y+2√3z+3
设函数z=z(x,y)由方程2sin(x+2y-3z)=x+2y-3z所确定,求证z对x的偏导加上z对y的偏导等于1
若x,y,z是有理数,x+√2y+√3z=1,则x+2y+3z=?
已知X,Y,Z为3个互不相等的实数,且X+1/Y=Y+1/Z=Z+1/Z求证(xyz)^2=1
已知实数x,y,z满足|4x-4y+1|+1/3√2y+z+z^2-z+1/4=0.求(y+z)*x^2的值.