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[知识精要] 对于某些数学问题,根据题意引入一些尚待确定的系数来表示,通过变形与比较,建立起含有待定字母系数的方程(组),并求出相应字母系数的值,从而使问题得到解决的方法, 我们称之为待定系数法.它的理论依据是:根据多项式f(x)、g(x)恒等的概念,得出对应同类项的系数相等这一性质.待定系数法是一种重要的数学方法,它的解题步骤是:①先假设存在一个含有待定系数的恒等式;②根据恒等式的性质列出方程
[Knowledge Essentials] For some mathematical problems, according to the meaning of the question, introduce some coefficients to be determined, and through the transformation and comparison, establish an equation (group) containing the pending letter coefficients, and find the value of the corresponding letter coefficient. So that the problem is solved, we call it the undetermined coefficient method. Its theoretical basis is: According to the concept of the polynomials f(x) and g(x), it is concluded that the coefficients of the corresponding items are equal. The undetermined coefficient method is an important mathematical method. Its problem-solving steps are as follows: 1 First assume that there is an identity containing the undetermined coefficients; 2 List the equations according to the properties of identities