在平面向量的学习中,我们会发现实数集中的一些性质在向量中并非成立,有些发生了质的变化.由于学生长期受到实数的思维定势的影响,造成知识负迁移,致使解答向量问题常常类比实数问题而出现解题失误.类比“ab=ac(a≠0,a、b、c∈R)b=c”例1(2004年湖北省高考题)已知a、b、c为非零 In the study of plane vectors, we will find that some properties of real number sets are not established in the vector, and some have undergone qualitative changes. Because students have long been influenced by the fixed set of real numbers, resulting in negative knowledge transfer, resulting in the problem of solving vector problems. The analogy of the real number problem and the solution error occurred. Analogy “ab=ac (a ≠ 0, a, b, c ∈ R) b = c” Example 1 (2004 Hubei College Entrance Exam Question) Known a, b, c are non- zero