若x+y+z不等于0,且3x+y/z=3y+z/x=3z+x/y=k,求k的值(用初二学过的方法,
人气:298 ℃ 时间:2020-06-15 19:17:48
解答
(3x+y)/z=k 得3x+y=kz
(3y+z)/x=k 得3y+z=kx
(3z+x)/y=k,得3z+x=ky
三方程对应相加得 4(x+y+z)=k(x+y+z) k=4
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