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| 二次方程的标准方程分析 | |
| 引用本文： | 黄敬发. 二次方程的标准方程分析[J]. 武汉船舶职业技术学院学报, 2009, 8(4): 54-58 |
| 作者姓名： | 黄敬发 |
| 作者单位： | 湖北水利水电职业技术学院,湖北武汉,430070 |
| 摘 要： | 本文讨论了如何利用正交仿射变换将二次方程化为标准方程,这为处理直角坐标系下的曲线或曲面奠定了基础,并对二次曲线进行了分类,从而可以直接从二次方程的系数判定该方程的类型。 |
| 关 键 词： | 二次型 仿射变换 标准型 正交变换二次曲线 |
A Standard Equation Analysis of Quadratic Equation |
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| HUANG Jing-fa. A Standard Equation Analysis of Quadratic Equation[J]. Journal of Wuhan Institute of Shipbuilding Technology, 2009, 8(4): 54-58 | |
| Authors: | HUANG Jing-fa |
| Affiliation: | HUANG Jing-fa (Hubei Water Resources Technical College, Wuhan 430070, China) |
| Abstract: | This paper first intoduces how to reduce the matrix representations of quadratic polynomials and affine transformations into standard form by non-degenerated affine transformations,then discusses how we can reduce the quadratic polynomial by non-degenerated orthogonal affine transformation,finally,as an application of the theory above,a classification of quadratic curves is presented. |
| Keywords: | quadratic form affine transformation standard form orthogonal transformation quadratic curve |
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