开放教学是指以知识为载体,以关注人的发展作为首要目标,通过创设有利于学生生动活泼、主动发展的教学环境,为学生提供充分的发展空间,使学生在现实的、有趣的探索性数学学习活动过程中各方面素质都得到发展。而非良构问题即非常规问题,它具有多解或无解的特点,它可以有多种评判答案的标准,是构成开放式课堂教学不可或缺的要素。那么,如何巧设非良构问题,引导学生在积极情感状态下自主地学习,从而完成对数学知识、思想、方法的主动建构呢? Open teaching refers to the knowledge as a carrier, focusing on the development of people as the primary goal, through the creation of a conducive to students lively and active teaching environment, to provide students with adequate space for development, so that students in the real, interesting and exploratory The quality of all aspects of mathematics learning activities have been developed. The non-good-framing problem is unconventional. It has the characteristics of multiple solutions or no solutions. It can have many criteria for judging the answers and is an indispensable element in the open classroom teaching. So, how to skillfully set up the problem of non-good structure and guide students to learn autonomously under the condition of positive emotion so as to complete the initiative construction of mathematical knowledge, thought and method?