1.已知:x^2+y^2+z^2=xy+yz+xz 求证:x=y=z

求全微分函数Z(X,Y),已知方程 Z^2*ln（X+Z)=XY 已知XY=2(X+Y),YZ=4(Y+Z),ZX=5(Z+X),求X,Y,Z已知XY=2(X+Y),YZ=4(Y+Z),ZX=5(Z+X),求X,Y,Z 已知实数x,y,z,满足那么x+y=6,z^2=xy-9,求(x+y)^z 已知0.5|x-y|+√(2y+z)+(z^2-z+0.25)=0,则z/xy的值是 1.已知:x^2+y^2+z^2=xy+yz+xz 求证:x=y=z 已知x,y,z∈R,求证:x^2+y^2>=xy+x+y-1 已知方程组x+2y-z=0,2x-y+8z=0,求x*x+y*y+z*z/xy+yz的值 已知4x-3y=6z 2x+4y=14z 求2xy/x^+y^ 已知4x-3y=6z 2x+4y=14z 求2xy/x^+y^ 已知实数x,y,z满足x=6-y,z^2=xy-9,求证：x=y 已知有理数x,y,z满足x=6-y,z^2=xy-9,说明x=y 已知（x+y-xy）/(x+y+2xy)=(y+z-2yz)/(y+z+3yz)=(z+x-3zx)/(z+x+4zx),且2/x=3/y-1/z,则xyz=? 已知3x－y+2z=x+2y+3z=0,求（3x^－xy+2y^)/(2x^+4xy+y^)值? 已知2x-3y-z=0,x+3y-14z=0(z≠0),求x^2+3xy／y^2+z^2 已知XY+X/X+Y+1=2 XZ+2X/X+Z+2=3 (Y+1)(Z+2)/Y+Z+3=4 求X+Y+Z的值已知(XY+X)/(X+Y+1)=2 (XZ+2X)/(X+Z+2)=3 [(Y+1)(Z+2)]/(Y+Z+3)=4 求X+Y+Z的值 已知2x-3y-z=0 x+3y-14z=0(z≠0) 求x^+3xy/y^2+z^ 已知实数x,y,z满足x=6-y,z^2-4z+4=xy-9,求x,y,z的值 已知实数x,y,z满足x=6-y,z^2-4z+4=xy-9,求x,y,z的值.