| 用图像分析方法解读定积分中比值定理与估值定理的应用错误 |
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| 引用本文： | 李颖颖.用图像分析方法解读定积分中比值定理与估值定理的应用错误[J].武汉职业技术学院学报,2013,12(4):53-56. |
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| 作者姓名： | 李颖颖 |
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| 作者单位： | 武汉职业技术学院机电工程学院,湖北武汉,430074 |
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| 摘 要： | 针对定积分性质中"比值定理"和"估值定理"的解题应用,指出了高等数学课程教学中常见的错误。从定积分的几何意义出发,结合图像分析其错误产生的原因,对教师养成严谨治学的态度、学生正确理解定积分的性质从而合理地解决数学应用问题等具有非常积极的作用。
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| 关 键 词： | 定积分性质 比值定理 估值定理 图像分析 |
Explanation of Errors in the Application of Ratio Theorem and Valuation Theorem in Definite Integration with Graph Analysis Method |
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| LI Ying-ying.Explanation of Errors in the Application of Ratio Theorem and Valuation Theorem in Definite Integration with Graph Analysis Method[J].Journal of Wuhan Institute of Technology,2013,12(4):53-56. |
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| Authors: | LI Ying-ying |
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| Institution: | LI Ying-ying (School of Mechanical ＆ Electrical Engineering,Wuhan Polytechnic, Wuhan 430074,China) |
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| Abstract: | The article points out the common errors in the teaching of the application of ratio theorem and valua- tion theorem in definite integration. It suggests the class begin with explanation of the geometric meaning of definite in- tegral and causes of errors in application should be analyzed with graphs. The article concludes that the method is help- ful for teachers to deyelop rigorous scholarship and for students to obtain the understanding of the nature of definite in- tegral and to know how to solve the problem of mathematics applications. |
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| Keywords: | definite integral ratio theorem valuation theorem graph analysis |
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