解析几何中求投影区域的错因分析与求解策略  

Error Analysis and Resolve Strategy about the Projection of the Stereo

作　　者：李晓艳[1] 田丽娜[1] 

机构地区：[1]兰州城市学院数学学院,甘肃兰州730070

出　　处：《甘肃高师学报》2016年第6期63-64,共2页Journal of Gansu Normal Colleges

基　　金：国家自然科学基金"拉回指数吸引子的存在性及其应用研究"(11261027);2014陇原青年创新人才扶持计划项目"非线性发展方程的动力学行为研究"

摘　　要：解析几何中涉及到求两曲面围成的立体图形在坐标面的投影区域时,经常误认为两曲面的交线在坐标面上的投影曲线所围成的区域即为所求的投影区域.通过对一个典型的立体在坐标面上的投影问题进行剖析,指出错因,并且给出此类题目正确的解法.To get the projection of a stereo surrounded by two surface on the coordinate plane, we often believed that the surrounded area by projection curve of intersecting line of two curved surfaces on the coordinate plane is mistaken for the projection of the stereo. Here we analyze a typical problem about the stereo projection on the coordinate plane to point out the right answer, and give a gener- al solution to solve this kind of stereo projection problem on coordinate plane.

关 键 词：立体图形 坐标面 投影区域 

分 类 号：O182.2[理学—数学]