已知x+y+z=0,xyz不等于0化简:(x^2/y+z)+(y^2/x+z)+(z^2/x+y)

已知:(x+y)/z=(x+z)/y=(z+y)/x,且xyz不等于0,则分式(x+y)(x+z)(z+x)/xyz的值为? 已知x+y+z=0,xyz不等于0化简:(x^2/y+z)+(y^2/x+z)+(z^2/x+y) 已知xy/5=y+z/6=z+x/7,且xyz不等于0,求x:y:z 已知xyz满足|3x-2y+z|+|2x+y+2z|=0（xyz不等于o）求x+y除以z 已知x+y-z/z=x-y+z/y=-x+y+z/x,且xyz不等于0,求分式[(x+y)(x+z)(y+z)]/xyz的值. 代数式的恒等变形3已知（x+y+-z）/z=(x-y+z)/y=(-x+y+z)/x且xyz不等于0求分式（x+y)(y+z）(z+x)/xyz的值 已知x+y-7z=0 x-2y+5z=0(xyz不等于0）,求x+2y-z/y-2x+12z 已知xyz不等于0,且x+2y-z=0,7x-y-z=0,求x+y+z/2x-y-z的值. 已知方程组4x-y+3z=0 2x+y+6z=0且xyz不等于0,则x/y+y/z+z/x是多少 已知4x-3y+z=0,x+2y-8z=0,xyz不等于0,求x+y-z/x-y+2z的值 已知（x+y)(y+z)(z+x)=0,xyz不等于0 求证：1/x+1/y+1/z=1/(x+y+z) 若xyz不等于0,且(y+z)/x=(z+x)/y=(x+y)/z,求(y+z)(z+x)(x+y)/xyz的值? 若xyz不等于0,且满足(y+z)/x=(x+z)/y=(x+y)/z,求（y+z)（x+z)（x+y)/xyz的值 若xyz不等于0,且满足(y+z)/x=(x+z)/y=(x+y)/z,求（y+z)（x+z)（x+y)/xyz的值 已知方程组4x-3y-3z=0 x+3y+z=0(xyz不等于0）,求x/y y/z的值 已知X+4Y-3Z=0,4X-5Y+2Z=0(XYZ不等于0) 则X:Y:Z=_____ 已知x+4y-3z=0,4x-5y+2z=0(xyz不等于0),则x:y:z=? 已知4x-5y+2z=0,x+4y-3z=0 且xyz不等于0,求x:y:z的值.