由于开放型问题的解决,一般需要学生去观察、试验、类比和归纳,根据题目给出的条件和要说明的结论,加以严格的推理或证明,较之中学课本中有明确条件和结论的封闭型问题,更能利于培养学生的应用意识和创造才能。开放型问题由于颇具挑战性,所以很容易激起学生“跃跃欲试”的情感和对数学知识的浓厚兴趣。一次复习课上,笔者讲了下 Due to the solution of open-ended problems, students are generally required to observe, test, analogy, and generalize. According to the conditions given in the topic and the conclusions to be explained, strict reasoning or proofs are provided, which are more specific than the closed conditions in the textbooks. Type problems are more conducive to cultivating students’ application awareness and creativity. Because of the challenging nature of open-ended issues, it is very easy to arouse students’ eagerness and interest in mathematics knowledge. In a review class, the author spoke