1.引言阿婆罗尼斯(Apollousnius,约公元前262年——约前190年)是古希腊的几何学家,他指出到两个定点的距离之比等于定值k的点的轨迹是一个圆(若k≠1),或是一条直线(若k=1).这样一个史实进入了人教社的教材之中:用几何画板探究圆的轨迹,并尝试着用几何画板实现这一现象.这是信息技术与数学史结合的一个很好的例子.在这个例子中,最关键 1. Introduction Apollousnius, an ancient Greek geometer around 262 BCE - about 190 BC, points out that the trajectory to the point where the distance between two fixed points is equal to a fixed value k is a circle (If k ≠ 1), or a straight line (if k = 1) .This historical fact is entered into the textbooks of the Popeschool: exploring the trajectory of the circle with a geometric palette and trying to do this with a geometric palette. Is a good example of a combination of information technology and mathematical history. In this example, the most critical