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在利用向量解决空间几何问题时,选择适当的基底能给我们解题带来方便.基底主要有两类:一类是建立空间直角坐标系的,另一类是不能建立空间直角坐标系的,下面就几个例题进一步说明如何利用基底来解决这类问题. 一、许多问题都在一些特殊背景中出现,所涉及的点线面常在一些特殊的几何模型中,在这类模型结构中,坐标系是容易建立的,主要有以下几类:
When using vector to solve spatial geometric problems, choosing the appropriate base can give us the convenience of problem solving. There are two main types of basement: one is to establish a spatial rectangular coordinate system, and the other is to create a spatial orthogonal coordinate system. Here are a few examples to further explain how to use the substrate to solve this kind of problem. First, many problems arise in some special contexts. The point and line faces involved are often in some special geometric models. In this kind of model structure, The coordinate system is easy to establish, mainly in the following categories: