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复数集上涉及一元二次方程的问题近年来一直活跃于各级各类试题中,由其一般的思路来看,除要对一元二次方程的理论熟练掌握外,还用到复数许多知识解题,因而这类问题综合性强,且其解法很富有技巧性,本文想就这类题型与技巧举例说明。 1 一元二次方程理论 对一切a、b、c∈C,方程ax~2+bx+c=0(a≠0)的求根公式、根与系数关系始终成立。但仅
The problem of complex number sets involving one-dimensional quadratic equations has been active in various types of questions in recent years. From its general idea, apart from the mastery of the theory of one-quadratic quadratic equations, many knowledge solutions are also used. This question, therefore, is a comprehensive problem of this type, and its solution is very skillful. This article would like to illustrate such questions and techniques. 1 Unary quadratic equation theory For all a, b, and c ∈ C, the root-sum formula and root-coefficient relationship of the equation ax~2+bx+c=0 (a ≠ 0) always holds. But only