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几何直观是借助于见到的或想到的几何图形的形象关系产生对数量关系的直接感知(徐利治).课标对此的阐述是:“几何直观是指利用图形描述和分析问题.借助几何直观可以把复杂的数学问题变得简明、形象,有助于探索解决问题的思路,预测结果.”几何直观作为最直接的形象思维对培养学生形成分析问题的能力和科学的思维品质有着极为重要的意义.这一观点在中考、高考的试题中都有十分明显的体现,这说明人们对学生形象思维能力培养的重视.本文就解题教学中学生几何直观能力的培养做一些分析.
Geometrical intuition is the direct perception of the quantitative relationship by means of the visual relationship of the seen or imagined geometric figure (Xu Lizhi) .Course standardization is: “Geometrical intuition refers to the use of graphics to describe and analyze problems. Geometry intuition can make complicated math problems become simple and vivid, help to explore the way to solve the problem and predict the result. ”Geometric intuition as the most direct image thinking has the ability to train students to form analytical problems and the scientific thinking quality This point of view in the test, college entrance examination questions are very obvious embodiment, which shows that people focus on the cultivation of image thinking ability of students.This article on the problem-solving teaching of students to do some analysis of the geometric intuitive ability.