數(shù)學中的變形技巧
THE DEFORMATION SKILLS DISCUSS MATHEMATICS


中文摘要：
隨著新課改的逐步推進，素質(zhì)教育的有力實施，數(shù)學的學習對學生要求越來越高，我們也越來越注重學生素質(zhì)的發(fā)展。我想如果不能讓學生深刻的體會平時所講知識中所蘊含的思想方法，并教會學生一些常用的數(shù)學技巧，那么學生很難做到透徹理解、融會貫通。為此我寫這篇論文，旨在對數(shù)學中常見的變形技巧作一個分類，并在教學中有意識地對學生進行變形技巧的思維訓練，這不僅可以讓學生在平時的學習中舉一而反三，而且對培養(yǎng)學生的抽象思維能力以及創(chuàng)造性思維也是有很大的促進作用。由于中學數(shù)學在代數(shù)方面主要是研究一些基本的類似于整式、根式、分式的內(nèi)容，所以本文重點對這三方面內(nèi)容進行闡述，順帶也介紹一些特殊的變形技巧。從確定題目到搜集素材，再到定稿的過程中，我不斷搜集初高中各種中考題和高考題，并廣泛閱讀各種中學數(shù)學報刊，為這篇論文的編寫提供了充足的素材和依據(jù)，并加以整理和歸類，最終順利完成。希望這篇文章能夠?qū)χ袑W數(shù)學的教學起到一定的啟示和推動作用。

關(guān)鍵詞：中學數(shù)學;變形技巧;素質(zhì)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


目錄
第一章 引言 1
第二章 數(shù)學變形的概述 2
2.1 什么是數(shù)學變形 2
2.2數(shù)學變形在中學數(shù)學中的應(yīng)用 2
第三章 數(shù)學中的一般變形技巧 4
3.1 一元二次方程的變形技巧 4
3.2 “0”的變形技巧 6
3.3 “1”的變形技巧 8
第四章 代數(shù)變形中常用的技巧 12
4.1 代數(shù)恒等式和恒等變形 12
4.2 代數(shù)中常見的變形 12
4.2.1 整式變形 12
4.2.2 分式變形 14
4.2.3 根式變形 19
結(jié)論 23
致謝 24
參考文獻 25