双曲线背景下的最短距离问题探究

• 作 者: 杨耀南
• 出 处: 数学学习
• 发表日期: 2004年期
• 关键词: 最短距离 中考试题 几何变换 比例函数 第一象限角 角平分线 对称点 待定系数法 知识范围 类试

最近几年全国各省市的中考试题中,出现一类有关抛物线背景下的最短距离问题,它们把几何证明、几何变换与函数有机地融合在一起,扩大了考查的知识范围,提高了试题的综合性和难度,还常常以压轴题形式出现在试题中.受这类试题的启发,在双曲线背景下是否也存在类似的最短距离问题呢?我对此作了这方面的探究,得到的答案是肯定的.在双曲线背景下仍然存

In recent years, all provinces and cities in the country exam questions, there is a class of parabola against the background of the shortest distance problem, they geometric proof, geometric transformation and function organically integrated together to expand the scope of the knowledge of examination and improve the comprehensive test Sex and difficulty, but also often in the form of pressure axis problems appear in the test questions.Inspired by such questions, in the hyperbola background if there is a similar shortest distance problem? I made this research, the answer Yes, it still exists in hyperbolic context