对于某些几何问题,除运用几何定理解题外,还可以将图形中有关边、角的关系用代数方法表示,将问题中的条件、结论转化成代数问题,通过代数运算去进行证明或计算.这种转化,往往能达到事半功倍的效果,同时也体现了代数与几何的联系.现举几例,供同学们参考.图1图3图2一、几何计算例 For some geometric problems, in addition to the geometrical comprehension problem, the relations between the edges and angles in the graph can also be represented by algebraic methods, and the conditions and conclusions in the problem can be converted into algebraic problems, which can be proved or calculated by algebraic operations. This transformation can often achieve a multiplier effect, but also embodies the link between algebra and geometry. There are several examples for students to refer to. Figure 1 Figure 3 Figure 2 A geometric calculation example