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行列式的教学,大致要解决下述三个实用课题:第一个是计算行列式的值,第二个是解以行列式形式给出的方程或不等式,第三个是证明以行列式形式给出的恒等式。对于前两个课题,笔者除按部编教材的方法之外,还提出了另外一种方法和思路。(详见拙作:《行列式的教学与发展学生的智力》一文,《数学通报》一九八二年第二期) 本文拟就第三个课题,即《一类非零值
In the determinant teaching, it is necessary to solve the following three practical issues: the first is to calculate the determinant value, the second is to solve the equation or inequality given in determinant form, and the third is to prove the determinant form The identities given. For the first two topics, the author proposes another method and idea in addition to the method for editing textbooks. (For more details, see the article “Determining the Teaching of the Demand and Developing the Intelligence of Students”, “Mathematics Bulletin,” 1982, second edition) This paper proposes a third topic, namely, "A type of non-zero value.