变换在数学中的应用.doc

摘  要:在数学学习中，变换的应用是极为广泛的，渗透到数学的各个领域，现阶段变换主要采用的方法是换一个角度，改一种方法，换一种形式，找一个对应。本文我主要通过对数学变换法的阐述和思考，解决了什么是变换法，以及数学中常用的几种变换，来加深对变换的认识与理解，从而对深一步的数学学习打下坚实的基础。

关键词：数学变换法，等价变换，恒等变换，参数变换，分割变换，初等变换，几何变换

Abstract:In learning mathematics and transform in application is very extensive, permeate every field of mathematics, the present transformation mainly adopts method is to change an Angle, change a method, a change of form, find a correspondence. This paper I mainly through mathematics transform method presented and thinking, what is solved and mathematics transform method, several transform, commonly used in to transform to deepen knowledge and understanding of deep step, thus to study math and lay a solid foundation.

Keywords: Mathematics transform method, equivalent transformation, identical transform, the parameters of transform ,segmentation transform, elementary transformation, geometry transform

目  录

绪  论

1.等价变换

1.1等价条件变换的例子

1.2等价结论变换的例子

1.3等价命题变换

1.4换一个角度

1.5换一种说法

2．恒等变换

3．参数变换法

4．分割变换

5．初等变换

5.1定义

5.2初等变换在求逆矩阵中的应用

6．几何中的变换

6.1仿射变换

6.2射影变换

7．小结

8.参考文献：

9、致谢: