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立体几何与平面几何有着紧密的联系,如立几的许多定理、公式和法则都是平几定理、公式、法则在空间的推广,某些问题解决的思想方法亦有惊人的相似之处,同时也应看到,两者有着一定的区别,对一部分同学来说,平面几何的定理、概念的深刻的印象,有时会在立几学习时产生思维定势,给立几学习带来一定的障碍。为此,在指导学生学习和教学过程中,应注意立几的特点,培养学生的空间想象能力,也应注意充分发挥平几对立几学习的正迁移作用,使学生取得较好的学习效果。
The three-dimensional geometry is closely related to the plane geometry. Many theorems, formulae, and rules of Liechi are the extension of the theorem of flat and several theories, formulae, and rules. The ideas and methods for solving some problems have striking similarities. It should also be noted that there are certain differences between the two. For some classmates, the theorem of plane geometry and the profound impression of the concept sometimes create a tendency to establish a certain degree of learning, and bring certain obstacles to learning. . To this end, in the process of guiding students’ learning and teaching, we should pay attention to the characteristics of Liji and cultivate the students’ spatial imagination. We should also pay attention to the full play of the positive transfer function of Pingyoug several pairs of learning so that students can achieve better learning results.