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Home > Wen Yuan (Middle School Edition) > 2020 No.02 > 反证法在数学证明中的应用研究

  • 反证法在数学证明中的应用研究

    Author(s)：

    罗晓燕

    Publication Title：

    Wen Yuan (Middle School Edition) 2020 No.02

    Affiliations：

    赣州市蟠龙中学

    Abstract：

    反证法是证明数学命题的一种间接证法，是从要证明命题的逆否命题出发利用有关定义，公理和条件进行推理，直到得出矛盾，从而判断其逆否命题不成立，即肯定原命题结论。反证法的逻辑思维强、数学语言的准确性高，对培养学生严谨的逻辑思维能力、阅读理解能力、树立正确的数学观具有重要意义，同时它又是大学数学的基础。因此，反证法在中学数学中的占有重要地位。反证法这种推理论证形式是培养学生逆向思维能力的重要途径之一。本文主要论述反证法的原理及其在证明各种命题中的应用。

    Keywords：

    反证法；证明；思维培养；数学语言

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    [1] 罗晓燕.反证法在数学证明中的应用研究[J].Wen Yuan (Middle School Edition),2020(02),.

文渊(中学版)
Wen Yuan (Middle School Edition)

Language: 中文

CN：11-9275/G

ISSN：2096-627X

Publication Frequency: 月刊

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