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把学生在解题中出现的错误集中起来,让学生在课堂上讨论,这样做学生是欢迎的,收效也较好。通过课堂讨论,使学生分清产生错误的原因,掌握正确的解题方法。例如,在学习了《函数及其图象》这章后,我出了下面的题目供学生讨论:判断下列解答是否正确:(1)m为何数时,方程x~2-(m-1)x-(m-2)=0有两个互为相反数的实数根(一九八一年浙江省初中中专招生试题)。解:设x_1、x_2是已知方程的两个互为相反数的实数根,则x_1+x_2=0,根据根与系数的关系有
Concentrate the students’ mistakes in the problem solving and let the students discuss in the class. Students are welcome to do so, and the results are better. Through classroom discussions, students can distinguish the causes of errors and master the correct methods for solving problems. For example, after studying the chapter “Functions and Images”, I gave the following questions for students to discuss: To judge whether the following solutions are correct: (1) When m is the number, the equation x~2-(m-1) X-(m-2)=0 has two real numbers roots that are inverse numbers (the Zhejiang Provincial Junior High School Admissions Examination in 1981). Solution: Let x_1, x_2 be the real roots of the two opposite numbers of the known equation, then x_1+x_2=0, according to the relationship between the root and the coefficient