“数形结合”是把代数式的精确刻划与几何图形的直观描述结合起来 ,使几何问题代数化 ,代数问题几何化 ,从而将抽象思维和形象思维结合使用 ,使许多复杂问题获得简捷解法 .“数轴”和“平面直角坐标系”这阶段的“数形结合”的教学 ,主要是运用这两个数学工具 ,集中研究以下几? “Number and shape combination” is a combination of algebraic accurate characterization and visual description of geometrical figures, which makes geometric problems algebraic and geometrical problems of algebraic problems, so that abstract thinking and imagery thinking can be combined to make simple solutions to many complex problems. The teaching of “number and shape combination” at the “number axis” and “plane orthogonal coordinate system” stages mainly uses these two mathematical tools to focus on the following researches.