| 利用平面投影图形确定三重积分的积分限 |
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| 引用本文： | 严永仙. 利用平面投影图形确定三重积分的积分限[J]. 浙江师范大学学报(自然科学版), 2004, 27(4): 345-348 |
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| 作者姓名： | 严永仙 |
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| 作者单位： | 浙江科技学院,理学系,浙江,杭州,310012 |
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| 摘 要： | 三重积分积分限的确定一直是教学的难点与重点.针对学生空间想像力及作图能力欠缺的现状,结合教学实践,提出了用平面图形代替立体图形的方法,给出了积分域的投影区域及积分限确定的几种方法,以有效解决三重积分的积分限的确定问题.
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| 关 键 词： | 三重积分 积分区域 积分限 投影 投影区域 |
| 文章编号： | 1001-5051-(2004)04-0345-04 |
| 修稿时间： | 2004-02-05 |
Determing integral intervals in triple integral by projection |
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| YAN Yong-xian. Determing integral intervals in triple integral by projection[J]. Journal of Zhejiang Normal University Natural Sciences, 2004, 27(4): 345-348 |
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| Authors: | YAN Yong-xian |
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| Abstract: | Determing integral intervals in triple integral while calculating is important and difficult part in advanced mathematical teaching. It was proposed a feasible way to determing integral intervals by plane projection in order to avoid drawing 3-D integral graph which was thought to be a common drawback of learners. |
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| Keywords: | triple integral integral domain integral interval projection projective area |
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