| 高等代数方法在中学数学中的应用 |
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| 引用本文： | 邵远夫,肖金戈.高等代数方法在中学数学中的应用[J].铜仁学院学报,2008,2(1):81-84. |
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| 作者姓名： | 邵远夫 肖金戈 |
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| 作者单位： | 1. 贵州师范大学,数学与计算机科学学院,贵州,贵阳,550001
2. 雷锋中学,湖南,望城,410000 |
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| 摘 要： | 讨论利用行列式知识证明四点共圆、利用齐次线性方程组解的理论解有关应用题、利用正定与半正定矩阵知识证明不等式等高等代数方法在中学数学中的应用。
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| 关 键 词： | 行列式 齐次线性方程组 半正定矩阵 不等式 |
| 文章编号： | 1673-9639（2008）01-0081-04 |
| 收稿时间： | 2007-05-22 |
| 修稿时间： | 2007年5月22日 |
Applications of the Methods in Higher Algebra to Middle School Mathematics |
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| SHAO Yuan-fu,XIAO Jin-ge.Applications of the Methods in Higher Algebra to Middle School Mathematics[J].Journal of Tongren University,2008,2(1):81-84. |
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| Authors: | SHAO Yuan-fu XIAO Jin-ge |
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| Institution: | SHAO Yuan-fu, XIAO Jin-ge( School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou 550001, China; 2. Leifeng Middle School, Wangcheng, Hunan 410000, China) |
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| Abstract: | The paper gives some applications of the methods in higher algebra to middle school Mathematics.It shows the proof of four points on a circle by the knowledge of determinant;the methods of resolving applied problems by theories about the solution of homogeneous linear equations;and the proof of inequality by positive definite and positive semi-definite matrix. |
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| Keywords: | determinant homogeneous linear equations positive semi-definite matrix inequality |
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