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立体几何着重培养学生的空间观念及逻辑推理能力,其中的动态问题,要求学生用运动变化的观点解决空间位置关系的判定与计算,对学生思维层次的要求较高.面对“动态几何”问题,不少学生找不到思维的切入点,难以下笔,究其原因,一方面是空间想象能力差,另一方面是难以把握运动变化的实质,即动中有静的规律.同时,“动态几何”问题可培养学生的空间感和运动变化观点,考查学生解决问题的综合能力,故常成为各类模拟考试以及高考的创新试题.基于此,本文选择高考中常见的几类“动态”型问题,剖析其具体求解策略.
The three-dimensional geometry focuses on cultivating students’ spatial concept and logical reasoning ability. The dynamic problem requires students to use the view of motion change to solve the judgment and calculation of spatial position relationship, and has a higher requirement on students’ level of thinking. The face of “dynamic geometry ”Problems, many students can not find the starting point of thinking, it is difficult to write, the reason for the study, on the one hand is the poor ability of space imagination, on the other hand is difficult to grasp the essence of movement changes, that is, the laws of static in motion. At the same time, “Dynamic geometry ”problems can cultivate students’ sense of space and movement change, examine students’ comprehensive ability to solve problems, so often become innovative test questions for all kinds of mock exams and college entrance examinations. Based on this, this article selects several common types of college entrance examinations “Dynamic” type problem, analyzing its concrete solution strategy.