自从1912年荷兰数学家布劳维证明了不动点原理,引起世界的数学家极大兴趣.它有着广泛而奇妙的应用,在数学中很多问题的求解可以借助不动点原理来解题.而高中阶段并没有给出具体的定义,但这并没有阻止命题者对它的喜爱.近几年不管是高考试题还是自主招生试题,都有一定的考查.通常以不动点原理为载体,与函数、数列、解析几何、不等式等知识综合考查,问题情境新颖,难度较 Since 1912 the Dutch mathematician Brouwer proved the fixed point principle, which has aroused great interest among mathematicians around the world. It has a wide and wonderful application. Many problems in mathematics can be solved by means of the fixed point principle. The high school stage did not give a specific definition, but this did not prevent the proposition from favoring it. In recent years, whether it is a high test or an independent admission test, there is a certain degree of examination. Usually based on the principle of fixed point, With comprehensive examination of knowledge of functions, series, analytical geometry, inequality, etc., the problem is novel and difficult