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数学解题是数学教学与数学学习中的重要组成部分,而在数学学习中充分联想并再思考,会进一步理解和巩固现有数学知识与技巧。当发现一个问题又通过思考解决这个问题时过程是艰辛的,同时又是快乐的。本文通过对一个组合恒等式的思考,给出不同的证明方法,挖掘出更一般的组恒等式。
Math problem solving is an important part of mathematics teaching and mathematics learning. Fully thinking and rethinking in mathematics learning will further understand and consolidate existing mathematics knowledge and skills. When a problem is found and the problem is resolved by thinking about it, the process is hard and at the same time happy. In this paper, we give a different proof method by pondering a combination identity, and discover a more general group identity.