探索是人类认识客观世界过程中最生动、最活跃的一种思维活动.探索型问题存在于一切学科领域之中,在数学学科领域中则尤为普遍.然而,传统的数学问题特别是初等数学问题,或许是因为教育、教学的需要,却被限制到一个相对封闭的模式之中.在这个模式里,绝大多数数学问题所给出的条 Exploration is the most vivid and active thinking activity in the process of human understanding of the objective world. Exploratory problems exist in all disciplines and are particularly common in the field of mathematics. However, traditional mathematics problems, especially elementary mathematics problems , perhaps because of the need for education and teaching, but it is limited to a relatively closed model. In this model, most mathematical problems are given