设x,y,z为整数且满足|x-y|^2001+|z-x|^2002=1,求|x-y|^3+|y-z|^3+|z-x|^3

已知x,y,z均不为0,且满足方程组{x+y-z=0,①2x-y-5z=0.②试求(2x+y+3z)/(3x-y-z)值 已知x,y,z均不为0,且满足方程组x+y-z=0,2x-y-5z=0试求2x+y+3z/3x-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 设X,Y,Z为正实数,求(1+2X)*(3Y+4X)*(4y+3z)*(2z+1)/(x*y*z)的最小值 已知x、y、z为非负有理数,且满足3x+2y+z=5,x+y-z=2.设t+2x+y-z,求t的最大值,最小值各是多少? 设x.y.z满足3x=4y=6z（x.y.z都是指数）求证 已知3x-2y-5z=0,2x-5y+4z=0,且x,y,z均不为0,求3x*x+2y*y+5z*z/5x*x+y*y- 已知x,y,z均不为0,且满足方程组x+y-z=0,①2x-y-5y=0.②试求2x+y+3z/3x-y-z值. 已知x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求代数式x2/(y+z)+y2/(x+z)+z2/ 已知实数x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求x2/(y+z)+y2/(z+x)+z2/( 求所有三元组(x,y,z),满足x,y,z是正有理数,且x+1/y,y+1/z,z+1/x都是整数. x,y,z属于正实数,且3x+4y+5z=1 求1/(x+y)+1/(y+z)+1/(x+z)的最小值