以知x+y-z/z=x-y+z/y=-x+y+z/x且xyz不等于0,则(x+y)(y+x)(z+x)/xyz=
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/06 05:27:33
以知x+y-z/z=x-y+z/y=-x+y+z/x且xyz不等于0,则(x+y)(y+x)(z+x)/xyz=
x+y-z/z=x-y+z/y=-x+y+z/x=k
x+y=z(k+1)
y+z=x(k+1)
x+z=y(k+1)
2x+2y+2z=z(k+1)+x(k+1)+y(k+1)
(k-1)(x+y+z)=0
x+y+z=0
k=1
(x+y)(y+x)(z+x)/xyz
=(-z)(-y)(-x)/xyz
=-1
x+y=z(k+1)
y+z=x(k+1)
x+z=y(k+1)
2x+2y+2z=z(k+1)+x(k+1)+y(k+1)
(k-1)(x+y+z)=0
x+y+z=0
k=1
(x+y)(y+x)(z+x)/xyz
=(-z)(-y)(-x)/xyz
=-1
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
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
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(y+z)/x=(z+x)/y=(x+y)/z,求(y+z)(z+x)(x+y)/xyz的值?
以知x+y-z/z=x-y+z/y=-x+y+z/x且xyz不等于0,则(x+y)(y+x)(z+x)/xyz=
若xy-z不等于0,且(y+x)/x=(z+x)/y=(y+x)/z,求[(y+z)(z+x)(x+y)]/xyz的值?
已知:(x+y-z)/z=(x-y+z)/y+(y+z-x)/x,且xyz≠0,求代数式[(x+y)(y+z)(x+z)
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
20(x+y)=12(y+z)=15(z+x),且xyz不等于零,求x:y:z=
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.
若x+y+z=0且xyz不等于0,求x(1/y+1/z)+y(1/x+1/z)+z(1/x+1/y)的值
已知 x,y,z都是正实数,且 x+y+z=xyz 证明 (y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1