| 例谈数形结合在高数解题中的应用 |
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| 引用本文： | 宋洪雪,丁秀梅,郦志新.例谈数形结合在高数解题中的应用[J].数学学习,2013(6):30-32,55. |
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| 作者姓名： | 宋洪雪 丁秀梅 郦志新 |
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| 作者单位： | 南京邮电大学理学院,江苏南京210023 |
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| 基金项目： | 南京邮电大学教改项目（JG00713JX30,JG00711JX40） |
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| 摘 要： | 通过微分中值的等式证明、求渐近线方程、定积分中的换元法、几何图形的描绘以及曲线积分的计算等例题，说明将代数运算或证明与几何直观相结合给解高等数学问题带来的好处．
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| 关 键 词： | 数形结合 微分 积分 对称性 |
Examples of Combining Algebra and Geometry in Solving Higher Mathematics Problems |
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| SONG Hongxue,DING Xiumei,LI Zhixin.Examples of Combining Algebra and Geometry in Solving Higher Mathematics Problems[J].Studies In College Mathematics,2013(6):30-32,55. |
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| Authors: | SONG Hongxue DING Xiumei LI Zhixin |
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| Institution: | (School of Science, Nanjing Univeristy of Posts and Telecommunications, Nanjing 210023, PRC) |
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| Abstract: | This paper illustrates the benefits of combining algebra and geometry in solving higher mathematics problems, such as establishing an equation about second order differences, finding the equation of an asymptote, using the method of substitution in integrals, depictinggraphs, and calculating curvilinear integrals. |
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| Keywords: | combining algebra and geometry differential integral symmetry |
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