已知x+3y-5z=0,x-3y+4z=0,且xyz≠0,求x²+y²+z²÷xy+yz+zx的值
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 06:30:39
已知x+3y-5z=0,x-3y+4z=0,且xyz≠0,求x²+y²+z²÷xy+yz+zx的值已知x+3y-5z=0,x-3y+4z=0,且xyz≠0,求x²
已知x+3y-5z=0,x-3y+4z=0,且xyz≠0,求x²+y²+z²÷xy+yz+zx的值
已知x+3y-5z=0,x-3y+4z=0,且xyz≠0,求x²+y²+z²÷xy+yz+zx的值
已知x+3y-5z=0,x-3y+4z=0,且xyz≠0,求x²+y²+z²÷xy+yz+zx的值
x+3y-5z=0,
x-3y+4z=0
得到
x=z/2
y=3z/2
(x²+y²+z²)/(xy+yz+zx)
=(z²/4+9z²/4+z²)/(3z²/4+3z²/2+z²/2)
=14/11
x+3y-5z=0 ----1
x-3y+4z=0 ----2
式2+1得
2x-z=0 -->x=z/2
式1-2得
6y-9z=0 -->y=3z/2
x²+y²+z²÷xy+yz+zx
=(z^2/4+9z^2/4+z^2)/(3z^2/4+3z^2/2+z^2/2) (将分式上下同乘以4得)
=(1+9+4)/(3+6+2)
=14/11
已知x-y/x+y=y+z/2(y-z)=z+x/3(z-x),求证8x+9y+5z=0THX..
已知{x-5y+2z=0 3x-5y-4z=0,求x:y:z
已知x+4y-3z=0,4x-5y+2z=0,则x:y:z
已知方程组4x-5y+2z=0 x+2y=3z 则x:y:z
已知:4x-5y+2z=0 x+4y-3z=0则:(x*x+y*y+z*z)/(x*y+y*z+z*x)=____.
(x+y):(y+z):(z+x)=3:4:5 3x+y-z=-4已知(x+y):(y+z):(z+x)=3:4:5 ;3x+y-z=-4求x y z
已知3x+4y+5z=0,2x+3y-4z=0,求(x+y+z)/(x-y+z)
已知2x+3y-4z=0,3x+4y+5z=0,求x+y+z/(除以)x-y+z的值.
已知{3x+4y+5z=0,2x+3y-4z=0,求x+y+z/x-y+z的值.
已知4x-3y-6z=0,x+2y-7z=0,求5x+2y-z/2x-3y-10z
已知x+4y+3z=3x-2y-5z=0,求x+2y-z/2x-3y+7z的值
已知2x+3y-4z=0,3x+4y-5z=0.求x+y+z除以x-y+z,
已知x+y+z=0求证x*x*x+y*y*y+z*z*z=3xyz
已知x+4y-3z=0;4x-5y+2z=0,则3y-5z分之2x-y+3z=?
已知{x+4y-3z=0,4x-5y+2z=0,则2x-y+3z分之3y-5z=?
已知3X=4X,5Y=6Z求X+Y:Y+Z
已知z、y、z同时满足x+3y-5z=0,2x-y-3z=0,求x:y:z
已知 x-3y+z=0 3x-3y-4z=0,则x:y:z=已知x-3y+z=0 3x-3y-4z=0则x:y:z=