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对等原则在现实生活中有着广泛应用.然而,对等原则在数学解题中的重要作用却未引起人们足够重视.本文阐述自己在这方面的探索与思考,供参考.1利用对等数量关系当数学问题中的若干元素具有对等数量关系时,由此构建解题思路,往往可以化难为易.例1已知a,b∈R+,且a+b=1,求证:(a+1a)
The principle of equivalence has been widely used in real life. However, the important role of the principle of equivalence in solving problems in mathematics has not attracted enough attention. This article describes its own exploration and thinking in this regard, for reference. 1 use of peer-to-peer Relationships When several elements of a mathematical problem have a reciprocal quantitative relationship, constructing problem-solving ideas can often be difficult. Ev. 1 Known a, b∈R+, and a+b=1, verification: (a+ 1a)