论文部分内容阅读
学了复数及其运算以后,一般学生都不习惯应用它们的几何意义思考问题,这当然不利于学生对复数的几何意义的掌握,也影响他们解题能力的提高,因此在教学过程中适当地补充一些应用这方面知识的例题,有助于学生逐步地形成应用复数几何意义的意识和提高应用这方面知识的能力,下面的一些例题可供参考。例1、设z是满足|z|=1的复数,求|z-2|的范围。解:设复数z在复平面上对应的点为Z,依题设,Z位于以原点为圆心的单位圆上。从而
After learning the plurals and their operations, the average student is not accustomed to applying their geometric meanings to the problem. This of course is not conducive to the student’s mastery of the geometric meaning of plural numbers, but also affects their ability to solve problems, so it is appropriate in the teaching process. Supplementing some examples of applying this knowledge will help students gradually develop a sense of applying complex geometric meanings and improve their ability to apply this knowledge. The following examples are available for reference. Example 1. Let z be a complex number that satisfies |z|=1 and find a range of |z-2|. Solution: Let Z be the corresponding point on the complex plane for complex z. According to the question, Z is located on the unit circle centered on the origin. thereby