复数是中学数学教材中的难点之一,学生学习复数感到困难,主要有以下四个方面的原因: 1、解题的思维方法起了变化。学生较长时间习惯于实数集中的解题思维方法,当数集扩充到复数以后,解题的思维方法在许多方面与实数集中有着根本的区别,故学生常会发生负迁移的错误。例如: ①不全为实数的两个复数既无大小之比较,又无正负之区别,而只有相等与为0的概念。②有些运算法则在复数集内不能恒成立,如a~n=(a~p)n/p。③在解方程时,对复系数二次方程来说,根的判别式的结论不再成立。 2、概念繁多。复数中的概念多,且容 Pluralism is one of the difficulties in high school mathematics textbooks. Students find it difficult to learn plurals. There are mainly four reasons for this: 1) The way of thinking of problem solving has changed. For a long time, students are accustomed to solving problem-solving thinking in real numbers. When the number of books is expanded to the plural, the way of thinking of solving problems is fundamentally different from that of real numbers in many aspects, so students often make the mistake of negative transfer. For example: ① not all of the two complex numbers as a real number of neither the size of the comparison, there is no difference between the positive and negative, but only the concept of equality and zero. ② some algorithms can not be established in the complex number set, such as a ~ n = (a ~ p) n / p. ③ When solving the equation, for the complex coefficient quadratic equation, the conclusion of the root discriminant is no longer valid. 2, the concept of many. The concept of plural, and tolerance