| 关于函数曲线的渐近线概念的探讨 |
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| 引用本文： | 何彦力.关于函数曲线的渐近线概念的探讨[J].江苏广播电视大学学报,2007,18(5):59-60,65. |
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| 作者姓名： | 何彦力 |
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| 作者单位： | 常州市广播电视大学,江苏,常州,213000 |
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| 摘 要： | 现今一些高等数学教科书中关于渐近线的讨论比较含糊,存在欠缺,主要表现在:一是按照其渐近线的概念进行讨论,将会丢失一些渐近线。二是讨论渐近线是为了帮助分析函数曲线的走向,而其提出的渐近线概念对此帮助不大。为此,提出了关于完善渐近线概念的思考,并对曲线与其渐近线的几何位置关系进行了比较明确的探讨,基本上解决了上述两点不足。
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| 关 键 词： | 函数图像 渐近线 极限 |
| 文章编号： | 1008-4207（2007）05-0059-02 |
| 修稿时间： | 2007-09-14 |
Discussion on Asymptote Concepts of Curvilinear Functions |
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| HE Yan-li.Discussion on Asymptote Concepts of Curvilinear Functions[J].Journal of Jiangsu Radio & Television University,2007,18(5):59-60,65. |
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| Authors: | HE Yan-li |
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| Abstract: | Two critical flaws concerning ambiguities for asymptotes are existed in advanced mathematics textbook today:(1)if the discussion is determined by the asymptote concepts,a few particular asymptotes can be lost;(2) since the discussion on asymptotes is used to analyze the trend of the function curve,the asymptote concept gives little support to the discussion.This paper gives a new concept about asymptote-perfecting.The geometrical relation with the asymptote are discussed,thus solving those two problems. |
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| Keywords: | function image asymptote limit |
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