空间想象力是一种重要的数学能力,培养空间想象力是立体几何的主要任务之一.建立明晰、丰富的空间想象力的途径和方法是多种多样的,其中有一种十分有效的方法,就是利用空间图形的延拓;点、线、面位置关系的转换. 在立体几何中常常可以把空间图形(几何体)进行延拓,放在一个大范围中,从整体的角度,观察、分析局部图形所应有的性质;把所讨论的点、线、面之间的位置关系进行转换,使得隐蔽的位置关系能暴露出它们固有的内在联系,这是一种非常有用的思维方式.我们知道,一种良好的思维方法可以使已有的知识和技能 Spatial imagination is an important mathematical ability. Cultivating spatial imagination is one of the main tasks of solid geometry. There are many ways and means to establish a clear and rich spatial imagination. There is a very effective method. It is the use of continuation of spatial graphics; conversion of point, line, and plane positional relationships. In spatial geometry, it is often possible to extend spatial graphics (geometry) to a large range, from the overall perspective, to observe and analyze local The nature of the graphic; transforming the positional relationship between the points, lines, and faces in question so that the hidden positional relationships can reveal their inherent intrinsic connections. This is a very useful way of thinking. We know A good way of thinking can make existing knowledge and skills