直纹曲面的性质及其在工程中的应用  

Property of Ruled Surface and Its Application in Engineering

作　　者：蔡国梁[1] 李玉秀[1] 王世环[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《数学的实践与认识》2008年第8期98-102,共5页Mathematics in Practice and Theory

基　　金：江苏大学教学改革与研究项目(JGY2007052);江苏大学学生科研项目(A83)

摘　　要：由一族或几族直线所构成的曲面叫做直纹曲面.本文给出了直纹曲面的判定定理,讨论了直纹曲面的方程与直母线方程的关系.综合研究分析了直纹曲面的性质,包括直纹曲面的基本性质和特殊性质.探讨了直纹曲面在建筑工程、电力工程、通信工程、水利工程和日常生活等方面的实际应用.Ruled surface is composed of one or more sets of lines. This article not only provides the theorem of ruled surface, but also discusses the relationship between the function of ruled surface and that of rectilinear generator. It comprehensively analyzes the ruled surface＇s quality including fundamental and particular. And it makes an inquiry into the practical application of ruled surface in such fields of everyday life as the construction, the electric power, the water conservancy and so on.

关 键 词：直纹曲面 性质 工程 应用 直母线 双曲抛物面 单叶双曲面 

分 类 号：TB113[理学—数学]