数学开放题是70年代在国际上引起重视的一种新题型.其特征是题目的条件不充分,或结论不确定.也正是因为这样,开放题的解题策略也往往是多种多样的.90年代,因其高度教育价值,已成为国际数学教育改革的一个热点.在开放题的基础上进行开放式的教学正在广泛而深入地研究.用开放性试题对学生掌握的知识、技能、能力以及思维进行测试,也已开始进入尝试性阶段. The open question of mathematics is a new type of question that has attracted much attention internationally in the 1970s. Its characteristic is that the condition of the topic is not sufficient, or the conclusion is uncertain. It is precisely because of this that the problem-solving strategies of open questions are often varied. In the 1990s, due to its high educational value, it has become a hot spot in the international mathematics education reform. Open teaching based on open questions is being studied extensively and in depth. The knowledge and skills mastered by students with open test questions , ability and thinking to test, have also begun to enter the tentative stage.