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高中数学人教A版必修3第三章概率139页有一个几何概型问题,教材在Excel中用随机数的函数模拟的方法估算了圆周率的值,此算法对于产生的随机数的统计随着试验次数增加有些不易,而用课本必修3第一章的算法,即用BASIC语言可以很便捷地估算圆周率的值。该程序主要是用随机函数模拟撒豆实验估算圆周率的值,随着重复输入n值的增大,输出的结果将越来越接近圆周率。多次试验验证,编写的该程序科学、实用。应用该程序既避免了人为统计数据的困难,又使学生对算法和程序有了进一步的了解。这次探索对提高学生应用数学的意识有很重大的指导意义,是一次新课程教材发展的尝试与超越。
A high school mathematics taught A version compulsory 3 Chapter III probability 139 pages There is a problem of geometry, textbooks in Excel using random number function simulation method to estimate the value of the pi, the algorithm for generating random numbers with the The increase in the number of trials is not easy, but with the textbook compulsory 3 Chapter 1 algorithm, that is, BASIC language can easily estimate the value of the pi. The program mainly uses the random function to simulate the experiment of calculating the pi value, and as the value of n repeatedly increases, the result of output will get closer and closer to pi. Multiple experimental verification, the preparation of the program is scientific and practical. The application of the program not only avoids the difficulty of human statistics, but also gives students a better understanding of algorithms and procedures. This exploration is of great guiding significance for improving students’ awareness of applied mathematics and is an attempt and transcendence of the development of new course materials.