培养学生的思维能力是数学教学与素质教育的核心问题,充分发挥习题的潜在功能引导学生多角度,多层次,立体思考探讨问题是培养学生创新思维能力和提高数学素质的有效途径,本文从一道习题的深层挖掘变化出发,对此作了尝试. 原题是:已知△ABC中,ABAC=,D为AB上的点,E为AC延长线上 Cultivating the students’ thinking ability is the core issue of mathematics teaching and quality education. Giving full play to the potential functions of the exercises leads students to multi-angles and multi-levels. Three-dimensional thinking is a valid way to cultivate students’ creative thinking ability and improve mathematics quality. Digging deeper into the problems in the exercises, this was attempted. The original questions are: known △ABC, ABAC=, D is the point on AB, E is the AC extension line