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我们知道,二共轭复数Z、的积等于每一个复数模的平方: 这是现行高中数学课本第三册有关复数的教材中要求学生掌握的一个基本公式。教材虽然没有具体应用的例子,但从一些习题、复习题的编辑意图看,说明教材对此公式的应用是有一定要求的。实践证明,应用此公式解题,有益于打开思路,掌握规律,简化论证过程,本文将通过介绍公式的一些具体应用,帮助中学生较全面地掌握复数知识,并为他们提供一些解题方法。
We know that the product of the two conjugated complex numbers Z is equal to the square of each complex modulus: This is a basic formula that is required for students to master in the third textbook of the current high school mathematics textbook. Although there are no concrete examples of the application of textbooks, from the perspective of the editing intentions of some exercises and review questions, it is necessary to explain the application of this formula to textbooks. Practice has proved that applying this formula to solve problems is beneficial to opening ideas, mastering laws, and simplifying the process of argumentation. This article will help the middle school students more comprehensively grasp the plural knowledge by providing some concrete applications of the formula, and provide them with some methods for solving problems.