| 曲线的切线与方程“等根”间的关系 |
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| 引用本文： | 邓秀华.曲线的切线与方程“等根”间的关系[J].内江师范学院学报,2011,26(10):79-81. |
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| 作者姓名： | 邓秀华 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充,637000 |
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| 摘 要： | 对曲线切线的求法，绝大部分是用导数作为研究的工具．利用“等根”与一般曲线切线的关系，给出了用方程“等根”求曲线切线的具体方法，介绍了曲线切线的概念以及用方程“等根”刻画曲线切线的基本思想，推出了直线与三次函数图像相切的充要条件．
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| 关 键 词： | 曲线 切线 等根 关系 |
The Relationship Between Tangent of Curve and ＂Equivalent Roots＂ |
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| DENG Xiu-hua.The Relationship Between Tangent of Curve and ＂Equivalent Roots＂[J].Journal of Neijiang Teachers College,2011,26(10):79-81. |
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| Authors: | DENG Xiu-hua |
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| Institution: | DENG Xiu-hua(College of Mathematics and Information Science,China West Normal University,Nanchong,Sichuan 637000,China) |
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| Abstract: | Derivative is the research tool most commonly used for solving tangent of curve. By use of the relationship between ＂equivalent roots＂ and tangent of curves, a concrete approach to solve problems concerning tangent of curve is put forth. Also introduced in the article was the concept of curve tangent and the basic idea of using ＂equivalent roots of an equation to depict tangent of curve. And the necessary and sufficient conditions when a straight line is tangent with a cubic functional picture are also worked out. |
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| Keywords: | curve tangent equivalent roots relationship |
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