有关探索性问题的数学命题作为对学生探索能力的考查已列为近年来中考数学命题的重要内容之一．由于这类题对学生分析问题和解决问题的能力要求比较高，因此，不少学生对此感到无从下手．本文结合1996年部分省市中考题对这类问题进行分析，并说明解这类题的一般方法和思路．一 Mathematical propositions on exploratory issues as a test of students’ ability to explore have been listed as one of the most important topics in mathematics propositions in recent years. Because such questions have a relatively high ability for students to analyze problems and solve problems, many students find it impossible to start. This paper analyzes these problems in conjunction with the examination questions in some provinces and cities in 1996, and explains the general methods and ideas for solving such questions. one