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一、课堂实录呈现环节一:介绍历史,提出问题教师:从公元前2000年左右开始,人类为了解决生活实际问题,就已经开始探寻求解方程的路,从一元一次方程,到一元二次方程,再到高次方程,都想尝试得到求解的公式。在这个过程中,中国数学家贾宪、秦九韶等人也都做出了卓越的贡献。但是随着天文、物理、地理等领域知识的发展,一些方程的出现让数学家束手无策:譬如方程2x-x-3=0就无法用公式精确求解,那这样的方程有没有解?解大约是多少呢?环节二:引出定义,深化理解教师:对于这个新的问题,我们得重新来认识方程
I. Introduction to the History of the Class and Presenting Questions Teachers: Starting from around 2000 BC, mankind has begun to explore ways of solving equations from the first order equation to the second order quadratic equation in order to solve the practical problems of life. To high-order equations, all want to try to get the formula. In this process, Chinese mathematicians Jia Xian, Qin Jiushao and others also made outstanding contributions. However, with the development of knowledge in the field of astronomy, physics and geography, the emergence of some equations makes mathematicians do nothing: for example, the equation 2x-x-3 = 0 can not be accurately solved by the formula. How much? Link 2: lead to the definition of deepening understanding of teachers: For this new problem, we have to re-understand the equation