论文部分内容阅读
近年,“方程 a~x=log_ax 解的个数问题”频繁以各种形式出现在刊物或课堂上,从中暴露出一些值得重视的问题,比较突出的有:(1)在数学上,以为这是一个尚未解决的问题,辛辛苦苦的工作其实质是“研究空转”;(2)在教学上,出现这样或那样的错误,向课堂传输了失真的信息.本文将在概括种种失误的基础上,提供一个完整的结论.1 问题的表现和成因分析1.1 问题的表现1.1.1 误作为初等数学研究的新成果文[1]作为“成果集锦”介绍了“关于方程
In recent years, ”the problem of the number of solutions a ~ x = log_ax solution“ frequently appears in various forms in publications or classrooms, exposing some problems that deserve attention. The more prominent ones are: (1) In mathematics, Think this is an unsolved problem, the hard work of its essence is ”research idling "; (2) in teaching, appear this or that mistake, the transmission of distorted information to the classroom.This article will be summarized Based on a variety of mistakes to provide a complete conclusion.1 The performance of the problem and analysis of the causes 1.1 The performance of the problem 1.1.1 mistaken as a new achievement of elementary mathematics research [1] as a equation