| 函数在一点处的限教学设计 |
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| 引用本文： | 潘璐璐,徐根玖,张莹,孙浩.函数在一点处的限教学设计[J].数学学习,2020(2):39-43. |
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| 作者姓名： | 潘璐璐 徐根玖 张莹 孙浩 |
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| 作者单位： | 西北工业大学理学院 |
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| 基金项目： | 陕西省高等教育教学改革研究重点项目(19BZ006);陕西省高等教育学会2019年度高等教育科学研究项目(XGH19002);西北工业大学教育教学改革研究项目(2018JGY11);西北工业大学“课程思政”示范课程项目:《高等数学》。 |
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| 摘 要： | 本文探究了函数在一点处极限的教学设计.从实际案例出发,抽象出函数在一点处极限的数学表达形式.从数形结合角度,解释本节课的难点,即ε和δ的关系.通过给出函数在一点处极限的定义,探索和思考用定义进行计算的关键问题.最后,结合课程思政,将课程落脚到育人.
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| 关 键 词： | 极限 教学设计 数形结合 课程思政 |
Lesson Design for Limit of Functions at a Point |
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| PAN Lulu,XU Genjiu,ZHANG Ying,SUN Hao.Lesson Design for Limit of Functions at a Point[J].Studies In College Mathematics,2020(2):39-43. |
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| Authors: | PAN Lulu XU Genjiu ZHANG Ying SUN Hao |
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| Institution: | (School of Science, Northwestern Polytechnical University, Xi’an 710072, PRC) |
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| Abstract: | This paper explores the lesson design of the limit of functions at a point.Starting from practical cases,the mathematical expression of limit of functions at a point is abstracted.Combining numbers and shapes,the relationship betweenεandδ,a difficult point,is explained.By using the precise definition of the limit of functions at a point,the key challenges of calculating limits by definition are explored and investigated.Finally,the ideological and political education is merged into the course. |
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| Keywords: | limit lesson design numbers and shapes course infiltrated with ideological and political education |
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