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等价转化思想是数学学习中最本质的一类思想,可以说学数学在很大的程度上是学习如何把所要解决的问题转化为已经解决过的问题.但是在转化过程中很多学生由于没有注意到转化的非等价性,从而导致出错,下面举例说明.1不等式或者方程两边平方时要注意讨论正负号例1已知2z+|z|=2+4i,求z.错解设z=a+bi(a、b∈R),则2a+2bi+
The idea of equivalence transformation is the most essential kind of thinking in mathematics learning. It can be said that learning mathematics to a large extent is to learn how to translate the problems to be solved into the problems that have been solved, but in the process of transformation many students, because of not having Note the inequality of the transformation, resulting in an error, as an example .1 Inequality or square of the two sides of the equation should pay attention to discuss the sign Example 1 Known 2z + | z | = 2 + 4i, find z. = a + bi (a, b∈R), then 2a + 2bi +