已知X,Y∈R+,且X+Y=1,求证：XY+1/XY≥17/4hgfhg

已知x,y,z∈R,求证:x^2+y^2>=xy+x+y-1 已知x,y属于正R,且x+2y=1,求证xy= 已知x,y属于 R +,且x+2y=1,求证 xy 已知X,Y,Z∈R,且X+Y+Z=1,求证X2+Y2+Z2≥1/3 已知X,Y∈R+,且X+Y=1,求证：XY+1/XY≥17/4 已知X,Y∈R+,且X+Y=1,求证：XY+1/XY≥17/4hgfhg 已知X,Y∈R 且1 已知a,b∈R+,且x+y=1,求证:xy≤1/4 已知x,y∈R,求证:x+y+1≥x+y+xy 已知x,y∈R,求证:x^2+y^2≥xy+x+y-1 已知x,y∈R,求证:x-xy+y≥x+y-1 已知x,y,z∈R+,且x+y+z=8,xyz=5,求证：x,y,z中至少有一个小于1 不等式的 已知x,y,z∈R,且x+y+z=1,求证√x+√y+√z x,y属于R*,且x+y=1,求证:(1)(x+1/x)(y+1/y)≥25/4 已知x,y∈R,求证x2-xy+y2>=x+y-1 已知x,y属于R,且y=x^2,求证log2(2^x+2^y）>7/8 已知x,y,z∈R+,且x+y+z=3,求证：x^2/（y^2+z^2+yz）+y^2/(x^2+z^2+zx）+z^2/(x^2+y^2+xy)≥1 已知x,y∈R*,x+y=1,求证2/x+1/y≥3+2根号2