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立体几何试题中经常涉及到动点问题,以此为载体考查求距离的最值,体积的最值等.此类试题属于动态问题,虽能够较好地考查学生的空间想象能力,推理论证能力,但是对绝大多数学生来讲是比较抽象的.对于此类试题,解决方法多样,建系法是其中的一种.如果通过建立空间(平面)坐标系,将几何元素间的关系数量化,借助平几知识以及向量知识求解,则可以化抽象为具体,化繁琐为简单.
Three-dimensional geometry questions often involve the moving point problem, as the carrier test to find the value of the distance, the value of the volume, etc. Such questions are dynamic issues, although able to better examine students’ spatial imagination, reasoning and argumentation ability , But for the vast majority of students in terms of more abstract.To such questions, the solution is diverse, one of them is the method of building a lineage.If you create a space (plane) coordinate system, the relationship between the number of geometric elements , With the help of a few knowledge and vector knowledge, you can abstract as concrete, cumbersome as simple.