1几何直观的含义与形式直观是指人用感官直接感受和观察,即人们接触事物时,借助于经验、观察、想象等产生的对事物及其关系直接的感知与认识.几何直观主要是利用图形描述和分析问题~([1]).在数学学习过程中,几何直观有着非常重要的作用,借助直观,可以把抽象的、复杂的数学概念、数学问题变得形象简明,可以帮助探索问题解决的思路.正如荷兰数学教育家弗赖登塔尔所言:几何直观能告诉我们什么是可能重要、可能有意义和可接近的,并使我们在 1 The meaning and form of geometric intuition Intuitive refers to the direct perception and observation of the human sensory organs, that is, the direct perception and cognition of things and their relationships arising from the experience, observation and imagination of people when they come into contact with things. The geometric intuition mainly uses Graphical description and analysis of the problem ~ ([1]). In the process of mathematical learning, geometric intuition has a very important role, with the help of intuition, abstract, complex mathematical concepts, mathematical problems become vivid, can help explore the problem Solution As the Dutch mathematician Freudenthal put it: Geometrical intuition can tell us what is likely to be important, possibly meaningful and accessible, and to make us