| 曲面围成区域的简图作法 |
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| 引用本文： | 石勇国,李小凤,彭靖,顾兴龙,彭家寅.曲面围成区域的简图作法[J].内江师范学院学报,2014(6):94-96. |
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| 作者姓名： | 石勇国 李小凤 彭靖 顾兴龙 彭家寅 |
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| 作者单位： | 内江师范学院数学与信息科学学院,四川内江641199 |
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| 基金项目： | 教育部数学与应用数学专业综合改革（ZG0464）; 四川省数学与应用数学专业综合改革（01249）; 四川省教育厅科研创新团队基金（14TD0026）; 内江师范学院大学生科研项目（13NSD-79） |
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| 摘 要： | 为了能快速作出多个曲面围成区域的简图,手工作图有时候很有必要.手工作曲面围成的立体图的难点是画出曲面的交线.先化简联立方程,结合投影和平行截割法,准确地描出交线.给出了作简图的数学原理和一般步骤.学生作图效果表明这种作图法操作性强,便于学生掌握.
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| 关 键 词： | 曲面简图 曲面交线 射影曲线 |
The Sketch Method of Regions Formed by Curved Surfaces |
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| SHI Yong-guo,LI Xiao-feng,PENG Jing,GU Xing-long,PENG Jia-yin.The Sketch Method of Regions Formed by Curved Surfaces[J].Journal of Neijiang Teachers College,2014(6):94-96. |
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| Authors: | SHI Yong-guo LI Xiao-feng PENG Jing GU Xing-long PENG Jia-yin |
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| Institution: | (College of Mathematics and Information Science Neijiang Normal University, Neijiang, Sichuan 641199, China) |
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| Abstract: | It is usual to plot three-dimensional graphics formed by two or more surfaces by Mathematical software such as MATLAB, MAPLE. The principle of the computer drawing is to plot the sample points, then draw lines through these points to form a diagram. Sometimes, because the data points are too many, the domains available for dot-gathering are limited, the graphics overlay tends to cause the problem of the diagram drawn failing to reflect the realistic shape of intersections. In order to quickly plot three-dimensional graphics formed by two or more surfaces, hand drawing is sometimes necessary. The difficulty of this hand drawing is to draw the intersection of any two surfaces. Firstly, simplify simultaneous＇ equations, and then in combination with projection and parallel cutting method sketch the accurate intersecting curves. The mathematical principle and general steps are given for the sketch method. From students＇ works by this method show that the sketch method is of strong operability and is easy to grasp. |
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| Keywords: | surface diagram intersection of surfaces projective curve |
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