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由分式构成的一类根式或分式不等式 ,若分式的分母与分子不全是单项式 ,可施用变换策略 ,把分母或分子化成单项式 ,再灵活运用均值不等式 ,便能得到简明快捷的证明 .1 变换分母为单项式例 1 设 a,b,c为三角形三边长 ,求证 :ab+c- a+bc+a- b+ca+b- c≥ 3.(《数学教学》2 0 0 1
A type of radical or fractional inequality consisting of fractions, if the denominator and numerator of fractions are monomials, a transformation strategy can be applied to denominator or molecularization to a monomial, and then the mean inequality can be used flexibly to obtain a concise and fast proof. 1 The transformation denominator is a monomial example 1. Let a, b, c be the lengths of the three sides of the triangle. Proof: ab+c-a+bc+a- b+ca+b- c≥ 3. (“Mathematics Teaching” 2 0 0 1