数学中的变形技巧.doc
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数学中的变形技巧,the deformation skills discuss mathematics中文摘要：随着新课改的逐步推进，素质教育的有力实施，数学的学习对学生要求越来越高，我们也越来越注重学生素质的发展。我想如果不能让学生深刻的体会平时所讲知识中所蕴含的思想方法，并教会学生一些常用的数学技巧，那么学生很难做到...
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数学中的变形技巧
THE DEFORMATION SKILLS DISCUSS MATHEMATICS
中文摘要：
随着新课改的逐步推进，素质教育的有力实施，数学的学习对学生要求越来越高，我们也越来越注重学生素质的发展。我想如果不能让学生深刻的体会平时所讲知识中所蕴含的思想方法，并教会学生一些常用的数学技巧，那么学生很难做到透彻理解、融会贯通。为此我写这篇论文，旨在对数学中常见的变形技巧作一个分类，并在教学中有意识地对学生进行变形技巧的思维训练，这不仅可以让学生在平时的学习中举一而反三，而且对培养学生的抽象思维能力以及创造性思维也是有很大的促进作用。由于中学数学在代数方面主要是研究一些基本的类似于整式、根式、分式的内容，所以本文重点对这三方面内容进行阐述，顺带也介绍一些特殊的变形技巧。从确定题目到搜集素材，再到定稿的过程中，我不断搜集初高中各种中考题和高考题，并广泛阅读各种中学数学报刊，为这篇论文的编写提供了充足的素材和依据，并加以整理和归类，最终顺利完成。希望这篇文章能够对中学数学的教学起到一定的启示和推动作用。
关键词：中学数学;变形技巧;素质教育
THE DEFORMATION SKILLS DISCUSS MATHEMATICS
Abstract：
Deformation is mathematics problem-solving activities in the most fundamental and commonly used method, it is flexible and changeable, a formula, a law, its expressions are diverse. Deformation is to achieve some purpose or need but adopt of a kind of means, is the return, conversion and Lenovo’s preparation phase, it belongs to skills sex knowledge, of course there is need techniques and methods in learning mathematics people can grasp to dill as much as possible in practice, and flexible application. In mathematics problem-solving, in order to complete the demonstration, eva luated, reduction etc task, often to some, but were identical deformation distributed-group management then deformation and no sure formula for success, identical distributed-group management then often have several possible a deformation of the problem and the direction, because different, craft was very strong. In this paper mainly introduced the deformation skills in elementary mathematics and some application of algebra. Mastering and flexible application of these techniques, can quickly determine the direction of solving problem solving, reduce blindness, improve the problem solving efficiency.
Key words: elementary maths , algebraic, transformation technique
目录
第一章 引言 1
第二章 数学变形的概述 2
2.1 什么是数学变形 2
2.2数学变形在中学数学中的应用 2
第三章 数学中的一般变形技巧 4
3.1 一元二次方程的变形技巧 4
3.2 “0”的变形技巧 6
3.3 “1”的变形技巧 8
第四章 代数变形中常用的技巧 12
4.1 代数恒等式和恒等变形 12
4.2 代数中常见的变形 12
4.2.1 整式变形 12
4.2.2 分式变形 14
4.2.3 根式变形 19
结论 23
致谢 24
参考文献 25
THE DEFORMATION SKILLS DISCUSS MATHEMATICS
中文摘要：
随着新课改的逐步推进，素质教育的有力实施，数学的学习对学生要求越来越高，我们也越来越注重学生素质的发展。我想如果不能让学生深刻的体会平时所讲知识中所蕴含的思想方法，并教会学生一些常用的数学技巧，那么学生很难做到透彻理解、融会贯通。为此我写这篇论文，旨在对数学中常见的变形技巧作一个分类，并在教学中有意识地对学生进行变形技巧的思维训练，这不仅可以让学生在平时的学习中举一而反三，而且对培养学生的抽象思维能力以及创造性思维也是有很大的促进作用。由于中学数学在代数方面主要是研究一些基本的类似于整式、根式、分式的内容，所以本文重点对这三方面内容进行阐述，顺带也介绍一些特殊的变形技巧。从确定题目到搜集素材，再到定稿的过程中，我不断搜集初高中各种中考题和高考题，并广泛阅读各种中学数学报刊，为这篇论文的编写提供了充足的素材和依据，并加以整理和归类，最终顺利完成。希望这篇文章能够对中学数学的教学起到一定的启示和推动作用。
关键词：中学数学;变形技巧;素质教育
THE DEFORMATION SKILLS DISCUSS MATHEMATICS
Abstract：
Deformation is mathematics problem-solving activities in the most fundamental and commonly used method, it is flexible and changeable, a formula, a law, its expressions are diverse. Deformation is to achieve some purpose or need but adopt of a kind of means, is the return, conversion and Lenovo’s preparation phase, it belongs to skills sex knowledge, of course there is need techniques and methods in learning mathematics people can grasp to dill as much as possible in practice, and flexible application. In mathematics problem-solving, in order to complete the demonstration, eva luated, reduction etc task, often to some, but were identical deformation distributed-group management then deformation and no sure formula for success, identical distributed-group management then often have several possible a deformation of the problem and the direction, because different, craft was very strong. In this paper mainly introduced the deformation skills in elementary mathematics and some application of algebra. Mastering and flexible application of these techniques, can quickly determine the direction of solving problem solving, reduce blindness, improve the problem solving efficiency.
Key words: elementary maths , algebraic, transformation technique
目录
第一章 引言 1
第二章 数学变形的概述 2
2.1 什么是数学变形 2
2.2数学变形在中学数学中的应用 2
第三章 数学中的一般变形技巧 4
3.1 一元二次方程的变形技巧 4
3.2 “0”的变形技巧 6
3.3 “1”的变形技巧 8
第四章 代数变形中常用的技巧 12
4.1 代数恒等式和恒等变形 12
4.2 代数中常见的变形 12
4.2.1 整式变形 12
4.2.2 分式变形 14
4.2.3 根式变形 19
结论 23
致谢 24
参考文献 25
