高等代数方法在中学数学中的应用

Applications of the Methods in Higher Algebra to Middle School Mathematics

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。

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.