毕业论文生活中的几何思维浅析 THE ANALYSIS OF THE GEOMETRY THINKING IN LIFE 申请学位级别:学士摘要几何学是研究空间区域关系的一个数学分支,欧式几何、平面几何、解析几何、微分几何、拓扑几何、非欧几何直至现代的分形几何,每一种几何方法都深深影响并改变着我们的生活。因此,通过分析几何学在我们生活中的应用来探讨几何之美以及几何的重要性,进一步增强人们对几何的理解与重视,是非常有意义的工作。本文第一部分简单介绍几何学的发展历史与主要分类,给出欧式几何、解析几何、分形几何、拓扑几何以及非欧几何的产生背景与应用。第二部分探讨几何学在园林设计方面的应用。第三部分探讨几何学在建筑设计方面的应用。第四部分探讨几何学在机械加工及工业设计方面的应用。第五部分探讨几何学在流体力学方面的应用。第六部分探讨几何学在天文军事方面的应用。第七部分探讨几何学在绘画与服装方面的应用。第八部分总结本文工作,进一步体现几何学思维之重要性,以引导人们在未来更加有效的运用几何学提高其创造力。关键词: 几何; 园林设计; 建筑设计; 天文军事; 应用 A BSTRACT Geometry isa branch of mathematics for study ing the spatial relations. E ach of geometric method s deeply affects and changes our life , such as Euclidean geometry, plane geometry, analytic geometry, differential geometry, topological geometry , non -e uclidean geometry and modern fractal geometry . Therefore, it is very meaningful to studying the beauty and importance of geometry and thus enhancing our understanding and attention to this science by analyzing itsa pplication inour life . Inthe first part of this paper , we introduce the development history and the main classification of the Geometry briefly, and give the background and application of Euclidean geometry, analytic geometry, fractal geometry , topological geometry and non -e uclidean geometry . Inthe second part , we discuss the application of Geometry in landscape design . Inthe third part , we discuss the application of Geometry in architectural design . Inthe four part , we discuss the application of Geometry in mechanical processing and industrial design . Inthe five part , we discuss the application of Geometry in fluid mechanics . Inthe six part , we discuss the application of Geometry in astronomy and military . Inthe seven part , we discuss the application of Geometry in painting and clothin g. Inthe eight part , we summarizes our work in this paper, and thus show the importance of geometric thinking and supply a guide for people us ing geometry effectively and improv ing the creativity in the future. Key Words
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