一道赛题的解法及问题之延伸——陕西省大学生高等数学竞赛题系列分析之四

Methods for a Contest Question and its Extension

对一道数学竞赛题,介绍欧拉公式解法,并用于求解其它问题;进而联想定积分定义设计出一种新解法,并将赛题引申,推广到复化中矩形求积公式和复化梯形求积公式情形,据此可以设计一些赛题.

This paper introduces the method of Euler formula for solving a contest problem and other problems.Furthmore,we design a novel method by the definition of definite integral,and extend the contest problem to the composite midpoint rule and the composite trapezoidal rule,that could be used to design some contest questions.