一类广义螺面的方程与图示  

The Equations and Figures of a Class of Generalized Helicoid

作　　者：周小辉[1] 

机构地区：[1]浙江财经大学东方学院,浙江嘉兴314408

出　　处：《宿州学院学报》2016年第3期93-95,共3页Journal of Suzhou University

基　　金：浙江财经大学东方学院教学科研课题项目(2015JK33)

摘　　要：根据正螺面的方程与图形,利用质点运动模型给出了椭圆螺旋线、双曲螺旋线、正弦螺旋线的方程及图像;根据"线成面"的思想给出了椭圆螺旋面、双曲螺旋面、正弦螺旋面的方程及图像。然后,基于几个螺旋面实例构造广义螺旋面的一般方程,并讨论其坐标网性质,并且根据"圆"螺旋面的方程讨论了它的坐标网性质。In this paper, the equations of the elliptic helix, hyperbolic helix, sine helix are defined and their figures are shown according to the right helicoid＇s equation and figures the equations of the elliptic helicoid, hy-perbofic helicoid, parabolic helicoid are defined and their figures are shown with ＂lines painted face＂. The equation and coordinate net＇s characteristcs of the generalized helicoid is presented and discussed by several examples. And the coordinate net＇s characteristics according to circle helicoid＇s equation is discussed.

关 键 词：广义螺旋面 “圆”螺旋面 椭圆螺旋面 双曲螺旋面 抛物螺旋面 

分 类 号：O186.1[理学—数学]