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已知:a/b+c=b/a+c=c/b+a=k,求k的值
人气:314 ℃ 时间:2020-05-20 03:43:03
解答
已知:a/(b+c) = b/(a+c) = c/(b+a) = k ,
可得:a/k = b+c ,b/k = a+c ,c/k = b+a ;
三式相加可得:(a+b+c)/k = 2(a+b+c) ,
所以,1/k = 2 ,
解得:k = 1/2 .
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