如何提高学生的探究能力以及培养学生学习数学的兴趣,一直以来是众多老师思考及研究的问题。其实,在练习或考试的题目设置,在平时的课程教学上,都可以下一点工夫引导学生如何探索,而这样的引导所需耗费的时间也往往不是很多,却能收到很大的效果。一次偶然的机会,在《高考考前小题训练》60页发现了这么一道不等式选做题,引起了笔者的兴趣,于是就动起笔从不同角度对它进行探索。 How to improve students ’abilities to explore and develop students’ interest in math has always been a question that many teachers think and study. In fact, in the practice or examination of the subject set, in the usual course teaching, can make a little effort to guide students how to explore, and this guide takes time is often not a lot, but can receive great results. By chance, I found such an inequality problem on the 60th page of “Pre-college Exams Training”, which aroused the interest of the author. So I started to explore it from different angles.