浅谈射影几何在解析几何中的应用

浅谈射影几何在解析几何中的应用

摘  要

本文介绍了射影几何学的发展，以及射影几何在解题过程中运用的几个重要理论，并主要讨论它在解析几何中的应用，举例分析射影几何方法在解析几何中的解题过程，并做出详细的解答。通过射影几何的学习，使我们从较高的高度与深度来掌握解析几何知识，从而灵活地处理解析几何中的问题；引导我们用射影几何的方法处理解析几何问题，既能帮助我们利用旧知识去理解新知识，反过来又用新知识解决旧问题，使新旧知识有机地结合起来，从更深层次把握几何知识的内在联系和本质。
关键词  射影几何；解析几何；仿射几何；定理；定义；原理

Shallowly discusses the projection geometry in the analytic geometry application

ABSTRACT

This article introduced the projection geometry development, as well as the projection geometry in the problem solving process utilization several important theories, and mainly discusses it in the analytic geometry application, gives an example to analyze the projection geometry method in the analytic geometry problem solving process, and makes the detailed explanation. Through the projection geometry study, causes us from to be  high highly and the depth grasps the analytic geometry knowledge, thus nimbly processes in the analytic geometry the question; Guides us to use the projection geometry the method processing analytic geometry question, both can help us to use the old knowledge to understand new knowledge, in turn and solves the old problem with new knowledge, causes the new old knowledge organically to unify, grasps the geometry knowledge from a deeper level the inner link and the essence.
Keywords  Projection geometry; Analytic geometry; Projection geometry; Theorem; Definition; Principle

目 录

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