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复数是高二数学课中的一个重要内容,学生学完这一章后,便完成了初等数学中数集的最后一次扩充。这一章知识点多,概念性强,且融代数、几何、三角于一体,特别是复平面与直角坐标平面的对应,复数的三角形式,复数运算的几何意义,复数的模与辐角(主要讨论辐角主值)的性质等,这些重要知识为复数的综合应用开辟了广阔的天地,形成它独特新颖的思维形式和解题技巧。复数又与高等数学衔接较紧,是高中教材的一个难点,有些知识不易掌握。现就我所理解的这一章教材进行
The plural number is an important part of the math course of sophomore year. After the students complete this chapter, the final expansion of the number set in elementary mathematics is completed. In this chapter, there are many points of knowledge, strong conceptualization and integration of algebra, geometry and trigonometry, especially the correspondence between complex plane and rectangular coordinate plane, complex triangular form, complex geometric meaning, complex modulus and argument Mainly discussing the nature of the argument, etc.). These important knowledge have opened up a vast world for the comprehensive application of complex numbers, forming its unique and novel thinking forms and problem solving skills. Complex numbers and tighter convergence with higher mathematics is a difficult high school teaching materials, some knowledge is not easy to grasp. Now I understand this chapter teaching material