解析几何中的定点、定值问题一直是江苏高考的热点问题,笔者发现很多问题从纯代数的角度去解析,如果没有好的算法,清晰的方向,往往很难在短时间内计算出结果,但是如果我们跳出解析法的圈子,回归问题的几何本源,往往起到事半功倍的效果!本文枚举数例来阐述一些常见问题的纯几何背景. Analytic Geometry in the fixed-point, constant value problem has been a hot issue in Jiangsu college entrance examination, I found that many problems from the perspective of pure algebra to analyze, if there is no good algorithm, a clear direction, it is often difficult to calculate the results in a short time, However, if we jump out of the circle of analytic methods and return to the geometric origin of the questions, we often achieve a multiplier effect! This article enumerates a few examples to illustrate the purely geometric background of some common problems.