若2x-3y+z=0,3x-2y-6z=0,且xyz≠0,求2x²+y²-z²分之x²+y²+z²的值
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若2x-3y+z=0,3x-2y-6z=0,且xyz≠0,求2x²+y²-z²分之x²+y²+z²的值若2x-3y+z=0,3x-2y-6z
若2x-3y+z=0,3x-2y-6z=0,且xyz≠0,求2x²+y²-z²分之x²+y²+z²的值
若2x-3y+z=0,3x-2y-6z=0,且xyz≠0,求2x²+y²-z²分之x²+y²+z²的值
若2x-3y+z=0,3x-2y-6z=0,且xyz≠0,求2x²+y²-z²分之x²+y²+z²的值
2x-3y+z=0 (1)
3x-2y-6z=0 (2)
(1)×3-(2)×2
-5y+15z=0
∴y=3z
把y=3z代入(1)得
x=4z
∴x=4z
y=3z
∴(x²+y²+z²)/(2x²+y²-z²)
=(16z²+9z²+z²)/(32z²+9z²-z²)
=26z²/40z²
=13/20
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{x+y-2z=-3 2x+6y+z=2 x+y+z=0