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借助复数计算来论证几何问题,有益于打开思路,简化论证过程,这一点,近来在中学教学中已引起了广泛的注意。在现行统编教材中,对此虽未列出专门章节,但通过例题和复习题的安排,这方面的因素较之63年版的高中教本也有明显的加强。但就这一问题如何组织教材、有计划的系统安排教学计划,加强基本训练,则讨论似仍有待于深入。由于复数的加法,减法,实数与复数的乘法,分别对应于向量的加、减与数乘,涉及这一类计算的证明,与向量证法基本一致,即使在现阶段,中学数学教材没有介绍向量,但有了物理中的矢量的合成与分解——平行四边行法则,学生接受这
The use of complex numbers to demonstrate geometric issues is useful for opening ideas and simplifying the demonstration process. This has recently attracted widespread attention in secondary school teaching. Although there are no specific chapters listed in the current textbooks, the arrangement of examples and review questions has significantly strengthened these factors compared to the 63-year high school textbooks. However, as to how to organize teaching materials, planned and systematic teaching plans and strengthen basic training on this issue, it seems that the discussion still needs to be deepened. Since the addition, subtraction, addition of complex numbers, and multiplication of complex numbers correspond to the addition, subtraction, and multiplication of vectors, respectively, the proof of this type of calculation is basically the same as the vector proof method. Even at this stage, the middle school mathematics textbooks are not introduced. Vectors, but with the synthesis and decomposition of vectors in physics - parallel four-sided rules, students accept this