已知3x-4y-z=0,2x+y-8z=0,求(x^2+y^2+z^2)/(xy+yz+xz)xiexie

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已知3x-4y-z=0,2x+y-8z=0,求(x^2+y^2+z^2)/(xy+yz+xz)xiexie
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已知3x-4y-z=0,2x+y-8z=0,求(x^2+y^2+z^2)/(xy+yz+xz)xiexie
已知3x-4y-z=0,2x+y-8z=0,求(x^2+y^2+z^2)/(xy+yz+xz)
xiexie

已知3x-4y-z=0,2x+y-8z=0,求(x^2+y^2+z^2)/(xy+yz+xz)xiexie
由3x-4y-z=0得z=3x-4y ③
由2x+y-8z=0得y=8z-2x ④
④代入③得 x=3z ⑤
y=2z
z=z
将这些数代入(x^2+y^2+z^2)/(xy+yz+xz)中,得到式子的值为13/11