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复数问题涉及知识面广,运算复杂,对能力要求高。若能总结归纳其变化规律,掌握解答复数问题的方法和技巧,定会收到快速、简捷,结果准确的效果。以下试举例说明之。1.巧用1的立方虚根若ω2-ω+1=0(ω∈C),则ω3+1=0;若ω2+ω+1=0(ω∈C),则ω3
Complex numbers involve a wide range of knowledge, complex operations, and high demands on capabilities. If we can sum up the law of change and master the methods and techniques for solving plural problems, we will surely receive fast, simple and accurate results. The following examples illustrate this. 1. Clever use of 1 cube imaginary root if ω2-ω+1=0 (ω∈C), then ω3+1=0; if ω2+ω+1=0 (ω∈C), then ω3