已知3x-4y-z=0,2x+y-8z=0,求x²+y²+z²／xy+yz＋2zx的值

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已知3x-4y-z=0,2x+y-8z=0,求x²+y²+z²／xy+yz＋2zx的值
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已知3x-4y-z=0,2x+y-8z=0,求x²+y²+z²／xy+yz＋2zx的值
已知3x-4y-z=0,2x+y-8z=0,求x²+y²+z²／xy+yz＋2zx的值

已知3x-4y-z=0,2x+y-8z=0,求x²+y²+z²／xy+yz＋2zx的值
3x-4y-z=0,2x+y-8z=0
11x-33z=0
x=3z
y=2z
x2+y2+z2/xy+yz+2zx这是个齐次式,分子分母都除以z^2
x2+y2+z2/xy+yz+2zx
=(9+4+1)/(6+2+6)
=1.
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