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函数概念是中学数学中的一个重要概念。鉴于目前一些中学对有关算术根和绝对值的概念以及函数作图方面的知识的教学重视不够,以致学生在实际作图时经常出现错误。比如,我省今年数学竞赛第一试作函数y=((x-1)~2)~(1/2)+((x-3)~3)~(1/3)的图象一题,不少同学只作成y=2x-4的图象。实践证明,通过函数作图可以加深学生对函数等基本概念的深入理解。为了提供这方面的资料,本刊特转载鲍利亚科娃的《函数作图几例》一文,供教学时参考。
The concept of function is an important concept in middle school mathematics. In view of the fact that some secondary schools do not pay enough attention to the concept of arithmetic roots and absolute values and the teaching of function mapping, students often make mistakes in actual drawing. For example, the image of the first trial function of this year’s mathematics competition in our province y=((x-1)~2)~(1/2)+((x-3)~3)~(1/3) Many students only made y=2x-4 images. Practice has shown that drawing functions can deepen students’ in-depth understanding of basic concepts such as functions. In order to provide information in this regard, this edition of the paper contains a special edition of “A few examples of function mapping” by Paulakova, for reference when teaching.