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整个中学数学中,有不少的有关“整除性问题”,比较集中地出现在“数学归纳法”和“二项式定理”两节中,在众多的参考书及数学竞赛中也是累见不鲜的一类习题。大家知道,“整除问题”是中学中相当困难、复杂的一部分,论及这一问题的有关文章,都不同程序的应用了“同余式理论”“费尔马定理”等知识,对不了解“数论”的读者,教师,特别是学生不易接受,甚至有适得其反的效果。在中学阶段不可能(也不必要)深入论及这一问题。在这里我们就课本中出现的整除问题作一归纳与剖析,对理解这部分教材,编拟和解答这类
In the whole middle school mathematics, there are quite a few “divisionality problems” that appear more intensively in the “mathematical induction method” and the “binomial theorem” sections. They are also seen in numerous reference books and math competitions. Fresh class of exercises. As we all know, the “impurity problem” is a very difficult and complicated part of middle school. The relevant articles on this issue have all applied different knowledge of “congruence theory” and “Ferma theorem” to different programs. The “number theory” readers, especially the students, are not easy to accept, and even have the opposite effect. It is impossible (and unnecessary) to address this issue in depth at the secondary school level. Here we summarize and analyze the problems of integer division in textbooks.