探索性问题是:如果把一个数学问题看作是由条件、依据、方法和结论四个要素组成的一个系统,那么把这四个要素中有两个是未知的数学问题称之为探索性问题.基本特征是条件不完备或结论不确定,要求考生自己去探索,结合已有条件,进行观察、分析、比较和概括,创造性地运用所学知识和方法解决问题.它对考生的数学思想、数学意识及综合运用数学方法的能力提出了较高的要求,它有利于培养学生探索、分析、归纳、判断、讨论与证明等 The exploratory question is: If we consider a mathematical problem as a system composed of four elements: condition, basis, method and conclusion, then it is an exploratory question that two of these four elements are unknown. The basic characteristic is that the condition is incomplete or the conclusion is indefinable, the examinee is required to explore on their own, and combine the existing conditions to observe, analyze, compare and summarize, creatively apply the knowledge and method to solve the problem, Mathematical awareness and the ability to comprehensively use mathematical methods put forward higher requirements, it is conducive to students to explore, analyze, summarize, judge, discuss and prove