文档介绍：分类讨论思想在中学数学中的应用
摘要:分类讨论是一种重要的数学思想,同时也是一种重要的解题策略,它体现了化整为零、积零为整的思想与归类整理的方法,它在人的思维发展中有着重要的作用,,有助于总结归纳数学知识,,,一元二次方程,集合,绝对值问题,不等式,函数,数列和排列组合中的应用等.
关键词:分类讨论数学思想解题策略中学数学
The application of classification Discuss ideas in the middle school mathematics
Abstract:The application of classification discuss ideas is an important mathematical thought, at the same time is also an important problem-solving strategies, it reflects the piecemeal plot zero for the whole thought and classify anize. It is an important role in development, it runs through the entire middle school mathematics. It can reveal the inherent laws of mathematical objects, contribute to the summary of the mathematical knowledge, the knowledge article in turn described the classification of the thought of the meaning of classification discuss the ideological criteria and classification of the principles focus illustrate the idea of classification of discussion in the triangle, a quadratic equation, a collection of the absolute value of the problem, inequalities, functions, the number of columns and the application of such arrangement.
Key words:Classification discuss Mathematical thought Problem-solving strategies Middle school mathematics.
目录
1 引言 4
2 简述分类讨论思想 5
3 分类讨论思想的标准 5
4 分类讨论的原则 5
5 分类讨论思想在中学数学中的应用 6
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12
14
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6 小结 17
7 参考文献 17
1 引言
数学思想史对数学理论和内容的本质认识,:真正的教育旨趣在于即使学生把教给他的所有知识都忘记了,但还有能使得他受用终生的东西,“受用终生的东西”,它又称“逻辑化分思想”,它是把所要研究的数学对象划分为若干不同的情形,、综合性、,有中,,知识领域方面,可以“无孔不入”.
2 简述分类讨论思想
每个数学结论都有其成立的条件,每一种数学方法的使用也往往有其适用范围,在我们所遇到的数学问题中,有些问题的结论不是唯一