在中学数学里,我们研究了复数的代数式a+bi和三角式γ(cosθ+isinθ),复数的灵活性大,技巧性强,所以复数的应用很广泛,它除了是研究代数、几何的一个有效工具,利用复数的三角式研究三角,作用更是显著,特别是对于某些按常规很难处理甚至是无法处理的三角题,只要通过观摩和联想,运用复数的三角式常常可以简捷地合理地出奇制胜地解决。下面略举几例说明。 In middle school mathematics, we have studied the algebraic a+bi and triangular gamma (cosθ+isinθ) of complex numbers. The flexibility of complex numbers is strong and the skills are strong. Therefore, the application of complex numbers is very extensive. It is not only a study of algebra and geometry. An effective tool, using a complex triangle to study triangles, is even more significant, especially for some trigonometric questions that are difficult to handle or even impossible to handle by convention. It is often possible to simply and easily use plural triangles by observing and associating. Exotic resorts to solve. Here are a few examples to illustrate.