已知2x-2y-z=0、x+2y+z=0,求分式（x平方+y平方+z平方）分之x平方-y平方-z平方的值

已知：x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值. 已知(x+y+z)^2=x^2+y^2+z^2,证明x(y+z)+y(z+x)+z(x+y)=0 已知x-y/x+y=y+z/2(y-z)=z+x/3(z-x),求证8x+9y+5z=0THX.. 已知x、y、z满足方程组：x+y-z=6；y+z-x=2；z+x-y=0 求x、y、z的值 已知X.Y.Z满足方程组,X+y-Z=6y+z-x=2z+x-y=0求X.Y.Z的值 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 x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值 已知x,y,z满足方程组｛x+y-z=6{y+z-x=2{z+x_y=0,求x,y,z的值 已知x,y,z>0,xyz(x+y+z)=1,求证（x+y）(x+z)>=2 已知z、y、z同时满足x+3y-5z=0,2x-y-3z=0,求x:y:z 已知(x+y)(x+z)=x,(y+z)(y+x)=2y,(z+x)(z+y)=3z,求x,y,z 证明 ：x/(y+z)+y/(z+x)+z/(x+y)>=3/2其中 x,y,z>0 已知：x+2y-3z=0,3x-2y+z=0,则x：y：z= 已知2x-y-z=0,3x+4y-2z=0,则x：y：z=? 已知 3x-y+2z=0 2x+y-3z=0,求x :y :z. 已知（1）X-Y+Z=0 (2)X+2Y-3Z=0 求X:Y:Z 已知x-2y+3z=0,x-3y+4z=0,则x:y:z= 已知x,y,z,满足方程组x-2y+z=0,7x+4y-5z=0