探索性命题一般是指不能通过简单模仿、没有现成的解题模式的非常规性数学问题。解决这类问题,必须利用已有知识、思想和方法,通过观察、分析、比较、概括才能得出结论,最后加以证明。本文就中考中常见探索性命题的解法作些肤浅的探讨,以求抛砖引玉。 Exploratory propositions generally refer to unconventional mathematical problems that cannot be solved by simple imitation and without ready-made problem solving models. To solve such problems, we must use existing knowledge, ideas, and methods to reach conclusions through observation, analysis, comparison, and generalization, and finally prove them. This article makes some superficial explorations of the solution to the common exploratory propositions in the entrance exams, in order to find a way to attract bricks.