发散思维是培养和训练学生创新意识的较好方式之一 ,一题多解属发散思维的一种形式 ,在教学中 ,若能抓住一些典型题例 ,运用一题多解的教学方式 ,它将有益于学生创新意识的培养 .课例　已知复数 z1=3+ i,| z2 | =2 ,z1z22 是虚部为正数的纯虚数 ,求复数 z2 .多数学生选用的是代 Divergent thinking is one of the better ways to cultivate and train students’ sense of innovation. One solution or multiple solutions is a form of divergent thinking. In teaching, if we can grasp some typical examples and use a multi-solution teaching method, It will benefit the cultivation of students’ innovative consciousness. The class case is known to have multiple z1=3+i,|z2|=2, and z1z22 is a pure imaginary number with a positive imaginary part. Find the complex number z2. Most students choose to use