解析几何问题,通常是从有关概念、定式(如公式、法则以及曲线标准方程等)和定法(即教材中介绍的基本方法)着手进行思考分析,寻求解题对策,虽一般能奏效,但有时会出现解题过程复杂甚至难以处理的局面.此时,若能针对问题的不同情况,采用一些非常规的解题方法去分析思考,常能将问题变繁为简、化难为易. Analysing geometric problems is usually based on concepts, formulas (such as formulas, rules, and curve standard equations), and fixed methods (that is, the basic methods introduced in textbooks). Thinking analysis and seeking solutions to problems, although generally effective, sometimes There will be situations where the problem-solving process is complex or even difficult to handle. At this time, if we can address different situations of the problem, adopt some unconventional problem-solving methods to analyze and think, and we can often make the problem simple and difficult.