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立体几何中圆锥曲线类型的判定
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作者 裴巧玲 柏长胜 《数学教学通讯(教师阅读)》 2009年第4期60-61,共2页
立体几何中圆锥曲线类型的判定主要利用转化的数学思想方法:将三维的立体几何中轨迹问题转化成平面几何中圆锥曲线类型的判定.常用的方法有:(1)定义法;(2)轨迹方程法;(3)交轨法.若所求的点的轨迹所在的平面与空间直角坐标... 立体几何中圆锥曲线类型的判定主要利用转化的数学思想方法:将三维的立体几何中轨迹问题转化成平面几何中圆锥曲线类型的判定.常用的方法有:(1)定义法;(2)轨迹方程法;(3)交轨法.若所求的点的轨迹所在的平面与空间直角坐标平面垂直或平行则可运用“轨迹法”求出该点的轨迹方程.再结合平面解析几何中的圆锥曲线方程的类型即可判断.否则只能利用平面解析几何中的圆锥曲线的定义加以判断.特殊的可用“交轨法”. 展开更多
关键词 转化的数学思想方 定义 轨迹方程法 交轨
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An Autonomous Navigation Methodology for a Pioneer 3DX Robot
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作者 Salvador Ibarra Martinez Jose Antonio Castan Rocha +4 位作者 Julio Laria Menchaca Mayra Guadalupe Trevino Berrones Javier Guzman Obando Julissa Perez Cobos Emilio Castan Rocha 《Computer Technology and Application》 2014年第2期91-97,共7页
Autonomous navigation is a complex challenge that involves the interpretation and analysis of information about the scenario to facilitate the cognitive processes of a robot to perform free trajectories in dynamic env... Autonomous navigation is a complex challenge that involves the interpretation and analysis of information about the scenario to facilitate the cognitive processes of a robot to perform free trajectories in dynamic environments. To solve this, the paper introduces a Case-Based Reasoning methodology to endow robots with an efficient decision structure aiming of selecting the best maneuver to avoid collisions. In particular, Manhattan Distance was implemented to perform the retrieval process in CBR method. Four scenarios were depicted to run a set of experiments in order to validate the functionality of the implemented work. Finally, conclusions emphasize the advantages of CBR methodology to perform autonomous navigation in unknown and uncertain environments. 展开更多
关键词 Autonomous navigation pioneer 3DX robot CBR methodology.
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