已知x.y.z满足(y+z)除以x=(z+x)除以y=(x+y)除以z=k,求k的值

已知x.y.z满足(y+z)除以x=(z+x)除以y=(x+y)除以z=k,求k的值 已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z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满足方程组,X+y-Z=6y+z-x=2z+x-y=0求X.Y.Z的值 已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值 已知整数x,y,z满足(x-y)(y-z)(z-x)=x+y+z,证明:x+y+z是27的倍数 已知X Y Z满足3x-2y+z的绝对值+2x+y+2z的绝对值=0（x,y,z不等于0）,求x+y除以Z的值 已知(Y+Z)除以X等于(X+Z)除以Y等于(X+Y)除以Z,求(X-Y-Z)除以(X+Y+Z) 已知 x/(y+z)+y/(z+x)+z/(x+y)=1求 (x*x)/(y+z)+(y*y)/(x+z)+(z*z)/(x+y)=? 已知xyz满足|3x-2y+z|+|2x+y+2z|=0（xyz不等于o）求x+y除以z 当x+y+z不等于零,求(x+y)/z的值,并写出一组满足条件的x,y,z的数值.已知x,y,z为实数,x/(y+z)=y/(z+x)=z/(x+y). 已知整数x、y、z,满足x≤y＜z,且｜x+y｜+｜y+z｜+｜z+x｜=4,｜x-y｜+｜y-z｜+｜z-x｜=2,求x^2+y^2+z^2的值. 已知整数x,y,z满足x≤y＜z,且|x+y|+|y+z|+|z+x|=4 |x-y|+|y-z|+|z-x|=2 那么x²+y²+z²的值 已知实数X.Y.Z满足(Y+Z)分之X+(Z+X)分之Y+(X+Y)分之Z=1,则(Y+Z)分之X平方+(Z+X)分之Y平方+(X+Y)分之Z平方的值为（ ） 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z、y、z同时满足x+3y-5z=0,2x-y-3z=0,求x:y:z 已知x,y,z满足 2倍(x-y的绝对值)+(2y的平方根)-z+(z×z)=-1/4,求x,y,z的值 已知x,y,z满足 -------------- + --------------- + ------------- = 1 y+z x+z x+yx•x y•y z•z求 ------------ + ------------ + -------------- = y+z x+z x+y