随着高中数学新课程的实施,行列式在中学数学中的渗透、应用越来越受关注,本文从四个方面浅析其在中学数学中的应用,以期能开阔读者视野.1线性方程组理论定理1含有n个未知量n个方程的齐次线性方程组有非零解的充要条件是:方程组的系数行列式等零.[1]例1已知函数f(x)=x2+ax+b,证 With the implementation of new mathematics curriculum in high school, the penetration of determinants in high school mathematics has drawn more and more attention. This article analyzes its application in high school mathematics from four aspects in order to broaden the reader’s field of vision.1 Linear equations Theorem 1 The necessary and sufficient conditions for a system of homogeneous linear equations containing n unknowns n equations to have a non-zero solution are: Equations of the system Equal determinant Equal to zero [1] Example 1 It is known that the function f (x) = x2 + ax + b, card