从一道数学竞赛题探索数学建模

PROBING MATHS MODELIING FROM AN EXERCISE IN A MATHS CONTEST

用建立数学模型的方法 ,以 99年全国高中数学联赛第一试的第一个选择题为切入点 ,将等比数列的几个性质 ,作了证明 ,并推广到一般情况 。

This paper proves some traits of geometrical ratio by the means of setting up maths models and toking the first multiple choice exercise in Test paper I of the National senior Maths league in 1999 as example. It also extends the range of application of geometrical ratio by applying it into general cases.