如果a/b=2,则(a²-ab+b²)/(a²+b²)等于
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![如果a/b=2,则(a²-ab+b²)/(a²+b²)等于](/uploads/image/z/1709496-0-6.jpg?t=%E5%A6%82%E6%9E%9Ca%2Fb%3D2%2C%E5%88%99%EF%BC%88a%26%23178%3B-ab%2Bb%26%23178%3B%EF%BC%89%2F%EF%BC%88a%26%23178%3B%2Bb%26%23178%3B%EF%BC%89%E7%AD%89%E4%BA%8E)
如果a/b=2,则(a²-ab+b²)/(a²+b²)等于
如果a/b=2,则(a²-ab+b²)/(a²+b²)等于
如果a/b=2,则(a²-ab+b²)/(a²+b²)等于
将已知b=2a带入上式可轻易化简得3/5
(a²-ab+b²)/(a²+b²)
=[﹙a/b﹚²-a/b+1]/[(a/b﹚²+1]
=(2²-2+1)/(2²+1)
=3/5