实数集扩充到复数集后,实数集的一些性质在复数集中并非成立,有些则发生了质的变化.由于学生长期受到实数的思维定势的影响,造成知识的负迁移,致使解答复数问题时常常类比实数问题而出现解题失误. 一、类比“|x|2=x2(x ∈R)”例1 若方程x2+x+p=0有两个虚根a和β,且|a-β|=3,则实数p的值为 After the set of real numbers is expanded to a complex set, some properties of the set of real numbers are not established in complex sets, and some have undergone qualitative changes. Because students are influenced by the fixed set of real numbers for a long time, the negative transfer of knowledge results in the problem of solving plural numbers. Often analogous to the real number problem and the solution error occurs. First, analogy “|x|2=x2 (x ∈ R)” Example 1 If the equation x2 + x + p = 0 has two imaginary roots a and β, and | a- β|=3, the value of real p