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习题教学是数学教学的重要组成部分.在习题教学中可通过改变题目的条件,改变题目的背景,探究题目的一般结论,类比探究同类问题等形式,引导学生对习题进行多角度的探索.课本习题往往蕴含着丰富的内涵,教师应充分运用习题的各种变式与拓展,培养学生的探索精神和创新能力.本文以一道课本习题为例进行变式研究和拓展,供同学们参考.
Exercises teaching is an important part of mathematics teaching.In the exercises teaching, by changing the conditions of the questions, changing the background of the questions, exploring the general conclusion of the questions, exploring the similar problems by analogy and so on, we can guide the students to explore the exercises from different angles. Exercises often contain rich connotations, teachers should make full use of the various variations and exercises to develop students’ exploration spirit and ability to innovate.In this paper, a textbook exercises as an example of variant research and development for the students reference.