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来源:百度文库 编辑:中科新闻网 时间:2024/04/28 15:18:15
为了学好高等数学,大量解题是必不可少的,在解题时我们都希望能获取一些好的方法和技巧,而
好的解题方法和技巧很多,本文就对称性在高等数学解题中的应用进行探讨。
对称,就是两个东西相对又相称,将它们对换一下后没有发生任何变化。在数学中,对称的概念,与
“群”的概念密不可分。
在近代代数中占有关键地位的群论,最初就是作为研究对称性规律的工具,才产生并发展起来的,
直至十九世纪确立了群的抽样定义。在几何上,圆、椭圆、双曲线、抛物线等都具有对称性早已熟知,实际上对称的概念在数学领域和在其他很多方面一直起着重要的作用。
在解高等数学中的某些问题时,对称性的利用是极为有用的,并由此得到问题简捷的解答途径,注意
到问题的对称性并巧妙地进行应用对于学好高等数学是十分重要的。下面我们举例说明对称性的应用。

In order to learn the higher mathematics,The massive problem solvings are essential,When problem solving we all hoped can gain some good methods and the skill,But the good problem solving method and the skill are very many,This article carries on the discussion on the symmetry in the higher mathematics problem solving application.
symmetry,Is two things relative also is symmetric,Exchanges after them has not had any change,In mathematics,Symmetrical concept,With "group" the concept is inseparable.Holds the essential status in the modern algebra the group theory,At first is takes the research symmetrical rule the tool,Only then produces and develops,Until 19th century have established the group sampling definition. In geometry,The circle, the ellipse, the hyperbolic curve, the parabola and so on all have the symmetry already to know very well,In fact the symmetrical concept is playing continuously in mathematics domain and in other very many aspects the vital role.When solution higher mathematics certain questions,The symmetrical use is extremely useful,And from this obtains the question simple and direct explanation way,Notes and ingeniously carries on the application to the question symmetry regarding to learn the higher mathematics is extremely important. Under we explain with examples the symmetrical application.

In order to learn higher mathematics well, it is essential to solve a large amount of problems. All of us hope to obtain some good methods and skills while solving a problem, and there are many fine solution approaches and skills, this text carries on the discussion in terms of the application of symmetry in higher mathematic problem solving.

Symmetry means that two things relatively matched.When displaced,there is no change at all.好了,提高悬赏吧