复数在初等数学问题中的应用摘要 复数集是实数集的一种延拓,并且复数原理应用于各个领域. 利用复数的性质来解决一些初等数学问题,解决几个基本问题,例如代数,三角,几何向量等。这样可以从一个方面强化概念,揭示概念的本质,同时灵活把握概念之间的关系,加深理解理顺的条件以解决实际问题的需要.另一方面有助于激发学生的逆向思维能力,为学生的解题提供另外一种有利的方法.更有助于培养学生的数学技能,促进学生的思维发展,都有着重要的意义[2]p1.因此本文论述了复数在几何关系、三角问题、解析几何等之间的桥梁以及在构造恰当的复数形式解决数学问题作出了一些探讨.关键词 复数 代数 初等数学 三角问题 解析几何 The application of complex number in elementary mathematical problemAbstract The complex number set is an extension of the set of real Numbers, and the principle of complex Numbers is applied to all fields. So can reinforcement from the aspects of a concept, reveals the essence of the concept, the relationship between the flexible at the same time grasp the concept, deepen the understanding of straightening out conditions, in order to solve the problem of actual needs. On the other hand helps to stimulate students' reverse thinking ability, provide another beneficial for students' problem solving methods. It helps to cultivate the students' math skills, promote students' thinking development, is of great significance. This article discusses the complex problems in geometric relations, the triangle, parse how few and in constructing a bridge between the plural form of appropriate made some discussions to follow in solving math problems.Key words plural algebra elementary mathematics trigonometric problem analytic geometry目 录引言..................................................................................................................................................11.预备知识..........................................................