中文题名: | 复变函数论思想与方法在中学教育中的应用 |
姓名: | |
保密级别: | 公开 |
论文语种: | chi |
学科代码: | 070101 |
学科专业: | |
学生类型: | 学士 |
学位: | 理学学士 |
学位年度: | 2023 |
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学院: | |
研究方向: | 中学数学教育 |
第一导师姓名: | |
第一导师单位: | |
提交日期: | 2023-06-08 |
答辩日期: | 2023-05-10 |
外文题名: | The Application of the Thought and Method of Complex Variable Function Theory in Middle School Education |
中文关键词: | |
外文关键词: | Theory of functions of complex variables ; Secondary School Education ; Complex number ; Conic section |
中文摘要: |
复数作为中学数学中联系几何与代数的关键知识点,在大学的复变函数论中也同样涉及到复数,其内容比起中学数学要复杂。所以教师可以借助复变函数论的方法,借助复数来研究中学中的一些知识点,为学生提供另一种思路与方法。文章中运用类比的思想,利用复数来表示中学中的一些常见知识点,比如说平面向量,直线方程,圆锥曲线等。通过复数对这些知识进行再一次解读与认识,探索新思路,开拓视野。 |
外文摘要: |
Complex numbers, as a key knowledge point connecting geometry and algebra in middle school mathematics, are also involved in complex variable function theory in universities, and their content is more complex than that of middle school mathematics. So teachers can use the method of complex function theory to study some knowledge points in middle school, providing students with another way of thinking and methods. In this paper, we use the idea of analogy and complex numbers to express some common knowledge points in middle school, such as plane vector, linear equation, conic section, etc. By reinterpreting and understanding these knowledge through the plural, we explore new ideas and broaden our horizons. |
参考文献总数: | 8 |
作者简介: | 蒋伟(2000-),性别男,汉族,贵州省铜仁市思南县塘头镇人,本科毕业。 |
插图总数: | 7 |
插表总数: | 0 |
馆藏号: | 本070101/23089Z |
开放日期: | 2024-06-08 |