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学生初学立体几何时,常出现如下错误:对概念的本质属性缺乏正确的理解,常常混淆立几概念与平几概念的区别,产生概念错误,如认为不重合的两条直线,不是相交就是平行。在识图和画图时,受平面图形严格直观的影响,把立体图形的直观图看作平面图形,搞错元素间的位置、大小关系,画出的立体直观图缺少立体感;推理论证不能按严格的逻辑规则进行,常把平面几何中的一些定理、性质不加思索地搬到立体几何的证明中来,也有的就图论
When students begin to learn stereoscopic geometry, the following mistakes often occur: The lack of proper understanding of the essential attributes of a concept often confuses the distinction between a few concepts and a few concepts, resulting in conceptual errors, such as two lines that are not coincidental, intersecting or not parallel . In the knowledge of the map and drawing, by the plane graphics strictly and intuitively, the stereoscopic graphics intuitive view as a graphic, make mistakes between the elements of the position, the size of the relationship between the three-dimensional visualization of the lack of stereoscopic vision; reasoning argument can not press Strict logic rules, often the plane geometry of some theorems, the nature of undoubtedly moved to the proof of three-dimensional geometry, and some on graph theory