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在平面几何试题中,除了试题中要求解答的问题外,往往还隐含着许多与角或线段有关的结论,一方面,图形中的某些线段之间可能存在特殊的位置关系或大小关系;另一方面,图形中的某些角之间可能存在一定的数量关系.对于复杂点的几何试题,用几何方法发现这些结论是比较困难的.利用解析法,以数解形,这样很容易发现几何图形中有关线段之间的大小关系、直线之间的位置关系等,利用发现的这些结论可对几何试题进行变式,命制出新颖的几何试题.
In the plane geometry test, in addition to the questions asked for in the test questions, many conclusions about angle or line segments are often implied. On the one hand, there may be a special position relationship or size relationship between certain line segments in the graphic; on the other hand, On the other hand, there may be a certain number of relations between certain corners of a graph, and it is more difficult to find these conclusions geometrically by using the geometric method of complex points. Geometry on the line between the size of the relationship between the linear relationship between the location, etc. These findings can be found on the geometry of the test variables, a novel geometric test questions.