| 关于初等函数连续性的注记 |
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| 引用本文： | 马昌秀,杨锦华.关于初等函数连续性的注记[J].新疆师范大学学报(自然科学版),2014,33(3):54-56. |
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| 作者姓名： | 马昌秀 杨锦华 |
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| 作者单位： | 新疆师范大学数学科学学院新疆,乌鲁木齐,830054 |
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| 基金项目： | 新疆师范大学双语教师培养培训专项研究课题(XSTJY |
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| 摘 要： | 文章对一元初等函数的连续性提出了函数在任一点的任一邻域都有无数多个连续点，但在任一区间都不连续函数、处处不连续函数之和生成处处连续函数、连续函数与不连续函数之积生成连续豳数等应注意的几个问题，以便更好地理解和掌握初等函数连续性这一重要数学概念，从而提高教学效果．
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| 关 键 词： | 连续 函数 复合函数 |
Notes about Continuity of Elementary Function |
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| MA Chang-xiu,YANG Jin-hua.Notes about Continuity of Elementary Function[J].Journal of Xinjiang Normal University(Natural Sciences Edition),2014,33(3):54-56. |
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| Authors: | MA Chang-xiu YANG Jin-hua |
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| Institution: | MA Chang--xiu, YANG Jin--hua (College of Math Sciences, Xinjiang Normal University, Urumqi , Xinjiang , 830054,China) |
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| Abstract: | In this paper we consider the problem about the eonticnuity of elementany function.We main consider the following problems： A function which has countless continuous points in any neighbourhood for any given piont but is discontinuous in any interval;The every where discontinuous function can gener- ate everywhere continuous function; The products of the continuous and discontinuous funtion can gererate continuous function.By the study of these problems, we hope it can mabe us to understand and master the important mathematical concepts for the continuity of elementary function and to improve the teaching effect. |
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| Keywords: | Continuity Function Compound function |
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