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本文是浙江大学王福春、熊全治两位教授70年前的旧作,原题为《关于七巧板的一个定理(A Theorem on the Tangram)》,发表于《美国数学月刊(The American Mathematical Monthly)》1942年的第49卷.这篇文章是七巧板研究的一个重要成果,具有里程碑的价值,此后所有关于七巧板的论著几乎无一例外地引用此文.我们约请常文武博士首度迻译这一名篇,更重要的意义还在于,在倡导研究性学习的今天,我们重温此文,一方面领略大师们如何创造性地解决问题的风范,品味其中丰富而朴素的数学思想方法,一方面有益于我们对数学探究的进一步理解,指导我们的教学.
This article is an old book by Wang Fuchun and Xiong Quanzhi, two professors of Zhejiang University 70 years ago, entitled “A Theorem on the Tangram”, published in The American Mathematical Monthly 1942 Volume 49. This article is an important achievement of tangram research and has a landmark value, and since then almost all the articles on tangram have been cited in this article.We invited Dr. Chang Wenwu to translate this article for the first time, More importantly, in the research advocacy today, we review the article, on the one hand, to understand the masters how to creatively solve the problem of style, taste rich and simple mathematical method which, on the one hand is beneficial to us Further understanding of mathematical inquiry, guiding our teaching.