︱y+z︳2013+ ︳z+x︳2013 + ︳x+y︳2012 =2的整数解数组(x,y,z)有( )组.

(x+y-z)(x-y+z)= 1.满足|y+z|^1999+|z+x|^1999+|x+y|^2000=2的整数解有（）组.2.方程(x+3)/(x+ 设x、y、z为整数,证明:x^4*(y-z)+y^4*(z-x)+z^4*(x-y)/(y+z)^2+(z+x)^2+( x y z x+y--- = --- = ---- ----y+Z z+x x+y ,求 z 的值 .求 x+y---- 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 试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y) (y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z 1.设有比例式：x/(y+z)=y/(x+z)=z/(x+y),有比例性质,得x/(y+z)=y/(x+z)=z/(x+ X+Y+Z=? 设X,Y,Z都是整数,满足条件(X-Y)(Y-Z)(Z-X)=X+Y+Z,试证明X+Y+Z能被27整除 x,y,z正整数 x>y>z证明 x^2x +y^2y+z^2z>x^(y+z)*y^(x+z)*z^(x+y) 若|x-2012|+|y+2013|+|z-2014|=0. (1)求x.y.z的值 (2)求(|x|+|y|+|z|)