| 函数的零点问题 |
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| 引用本文： | 周丽馥,刘自新. 函数的零点问题[J]. 大连大学学报, 2003, 24(4): 1-5 |
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| 作者姓名： | 周丽馥 刘自新 |
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| 作者单位： | 大连大学,信息工程学院,辽宁,大连,116622 |
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| 基金项目： | 大连大学教学改革基金资助项目(2001年) |
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| 摘 要： | 函数零点问题是微积分中比较常见,也是比较难解决的问题。本文就连续函数及导函数零点问题进行讨论。在讨论函数零点存在时,本文将零点定理进行推广并得到有用的结果;在讨论导函数零点时,本文给出构造辅助函数的许多种方法。这对解决导函数零点问题提供了许多方便。最后本文讨论了多元函数的零点问题。
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| 关 键 词： | 零点 存在性 导函数 |
| 文章编号： | 1008-2395(2003)04-0001-05 |
| 修稿时间： | 2002-03-12 |
Zero point of a function |
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| ZHOU Li-fu,LIU Zi-xin. Zero point of a function[J]. Journal of Dalian University, 2003, 24(4): 1-5 |
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| Authors: | ZHOU Li-fu LIU Zi-xin |
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| Abstract: | The problem of the zero point on a function is common and hard to be solved in this paper, zeros of the continuous function and the devived function are dicsussed concretely. When the zero exists, the zero point theorem is extended and some useful results are obtained; when the zero point of the derived function is concerned, many methods by which the assistant function is structured are presented. It provides more conveniences for the settlement of the zero point of derived function. At last, the problem of the zero point on many variable function is discussed. |
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| Keywords: | zero point existence derived function |
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