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想象是一种特殊的思维形式,数学中的空间想象能力是指对物体的形状、结构、大小、位置关系的想象能力.空间想象能力主要包括四个方面的要求:一是对基本的几何图形必须非常熟悉,能正确画图,能在头脑中分析基本图形的基本元素之间的度量关系及其位置关系(从属、平行、垂直及基本的变化关系);二是能借助图形来反映并思考客观事物的空间形状及位置关系;三是能借助图形来反映并思考用语言或式子表达的空间形状及位置关系;四是有熟练的识图能力.即从复杂的图形中能区分出基本图形,能分析基本图形和基本元素之间的基本关系.从某种意义上说几何教学就是图形教学.由此可见基础图形教学在学习立体几何知识、发展学生空间想象能力中的重要位置.
Imagination is a special form of thinking. The ability of space imagination in mathematics refers to the imagination ability of the object’s shape, structure, size and position. The ability of space imagination mainly includes four requirements: First, the basic geometry Must be very familiar with, correctly drawing, can analyze the basic elements in the mind of the basic elements of the relationship between the measurement and the relationship between the position (subordinate, parallel, vertical and basic changes in relations); the second is to use graphics to reflect and reflect the objective The spatial shape and location of things, the third is to use graphics to reflect and reflect the language or expression of the spatial shape and location of the relationship; Fourth, there is a proficiency in the ability to recognize that complex graphics can distinguish between the basic graphics , Can analyze the basic relationship between the basic graphics and basic elements.Geometry teaching in a sense is the graphics teaching.This shows that the basic graphics teaching in learning three-dimensional geometric knowledge, the development of students spatial imagination in an important position.