数学课本中的典型习题 ,具有较强的代表性、可塑性和迁移性 ,另一方面 ,也是我们智能的生长点 ,是高考、竞赛的依据 .故在学习中 ,要重视对课本习题的研究 .为此 ,本文以一道课本习题为例 ,研究其解法、推广、引申及应用 ,说明对课本中典型习题要进行探究式的学习 ,供同学们参 The typical exercises in mathematics textbooks have strong representativeness, malleability, and mobility. On the other hand, they are also the growth point of our intelligence and the basis for college entrance examinations and competitions. Therefore, in learning, we must pay attention to the study of textbooks. For this reason, this article takes a textbook exercise as an example to study its solution, promotion, extension and application. It shows that typical exercises in textbooks should be explored for students’ participation.