数形结合思想是中学数学中最重要和最常见的数学思想方法之一,数与形是中学数学研究的两类基本对象,相互独立,又互相渗透。尤其在坐标系建立以后数与形的结合更加紧密。从数中去认识图形,从形中去认识数。数缺形少直观,形少数难入微。高中数学的一些代数问题,通过研究其几何性质,能使抽象的数量关系在图形上直观地表达出来,使问题变得简单。 The combination of number and shape is one of the most important and most common mathematical thinking methods in middle school mathematics. The number and form are two basic objects of mathematical study in middle school, which are independent and permeate each other. Especially in the coordinate system to establish the combination of number and shape more closely. Understand the figures from the figure, to recognize the number from the shape. Lack of number of less intuitive, shaped a few difficult. Some algebraic problems in high school mathematics, through the study of its geometric properties, can make the problem easy by expressing abstract quantitative relationships graphically.