现在 ,学生的数学学习已不再是单纯回答已有的问题 ,而是让学生学会从数学的角度发现和提出问题 ,表达自己对生活中数学问题的理解和想法等 .新的教学理念中 ,研究性学习走进课堂 ,自主性问题成为数学命题的热点 .本文举例说明此类问题的解题思路 .一、情况分析例 1　一学期来 Nowadays, students’ mathematics learning is no longer simply to answer existing questions, but to allow students to learn to discover and raise questions from the perspective of mathematics and to express their understanding of and understanding of mathematical problems in life. New teaching concepts, Research-oriented learning has entered the classroom, and the issue of autonomy has become a hot topic of mathematics propositions. This article illustrates the problem-solving ideas of this type of problem. I. Case Study Case 1 A semester comes