本文首先是一例问题解决———一道题目的推广及其证明,并在近年来数学教育界对问题解决所倡导的两个方面———积极地发现问题、”求取解答并继续前进”[1]———上作了努力.其次,欲作为数学思维研究之例,本文力求体现”过程性原则”,”结果与过程并重”[1],较详细地再现了思 This article is first of all an example of problem solving - the promotion of a topic and its proofs. In the mathematics education community in recent years, two aspects advocated by the problem of solving problems have been actively finding problems, “requiring answers and moving on.” 1] --- made efforts. Second, as an example of the study of mathematical thinking, this paper seeks to embody the “process principle”, “respect the results and the process” [1], a more detailed reproduction of the thinking