数形结合问题初探

An Original Study of the Integrity of Numbers and Geometric Figures

数形结合思想方法是研究数学问题的重要方法,有些数量关系,借助几何图形的直观描述,可以使许多抽象的概念和复杂的关系形象化、简单化,而几何的一些性质,借助于代数的精确刻画得以严谨。数形有机的结合,可以达到简捷、明了的效果。

Many abstract concepts and complicated relations can be illustrated in a more vivid and simple way with the help of objective tracing of geometric figures. Whereas, some geometric characteristics will become more rigorous due to the accurate algebraic description.