| 反例在数学教学中的作用与构造分析 |
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| 引用本文： | 王锦.反例在数学教学中的作用与构造分析[J].江西教育学院学报,2011,32(6):15-17. |
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| 作者姓名： | 王锦 |
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| 作者单位： | 南昌二中,江西南昌,330006 |
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| 摘 要： | 举反例是数学中一种重要思维方式,反例在数学中有很多作用,一个数学真命题的确定往往需要严密的证明,而对假命题的判定如用反例来说明则显得容易理解。文章通过具体的例子阐述了反例在数学教学中作用的体现,构造分析简单例子,总结归纳出反例构造的方法,为数学解题以及实际数学教学提供参考价值。
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| 关 键 词： | 反例 构造分析 构造方法 构造反例 |
The Application of Counterexamples in Mathematics and Its Structural Analysis |
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| WANG Jin.The Application of Counterexamples in Mathematics and Its Structural Analysis[J].Journal of Jiangxi Institute of Education,2011,32(6):15-17. |
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| Authors: | WANG Jin |
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| Institution: | WANG Jin(Nanchang Number 2 Middle School,Nanchang 330006,China) |
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| Abstract: | Giving counter-examples in mathematics is an important way of thinking,counter-examples have many roles in mathematics,as a mathematical proposition true determination often requires strict proof of the proposition,and false counter-examples cited to illustrate it are easier to understand.This paper,through specific examples of counter-examples on the role of mathematics teaching in the embodiment of a simple example of structural analysis,summarized the structure of counter-examples approach,problem-solving in mathematics and mathematics teaching in the course of the actual reference value. |
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| Keywords: | counter-examples structural analysis constructor construct counter-examples |
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