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杭州師范大學(xué)本科生學(xué)年設(shè)計(論文)正文 第 1 頁 共 11 頁 待定系數(shù)法及其在中學(xué)數(shù)學(xué)的應(yīng)用 Application of undetermined coefficients in the elementary mathematics 論文作者 : 專業(yè):數(shù)學(xué)與應(yīng)用數(shù)學(xué)(師范) 指導(dǎo)老師: 完成時間: 2021 年 11 月 14 日 杭州師范大學(xué)本科生學(xué)年設(shè)計(論文)正文 第 2 頁 共 11 頁 摘 要 首先 用兩 道數(shù)學(xué)題 引出待定系數(shù)法,然后給出待定系數(shù)法的定義、解題步驟,歸集常用待定系數(shù)法解題的題型,具體給出在每個類型中的某一個或者幾個代表例子來說明待 定系數(shù)法在具體題目中的解題運用。最后小結(jié)待定系數(shù)法的意義,并指出其特殊性,即并不是所有題用待定系數(shù)法解題都是最簡便的. First using two mathematic problems to extract the method of undermined coefficients, and then giving out the definition and solving steps of method of undermined coefficients. Next, collecting the math types which use the method of undermined coefficients. And then show out one or a few representative examples of each type to illustrate how undetermined coefficient method in solving specific use in the math exercises. At last, summing the significance of method of undermined coefficients, pointing out its particularity that not all the problems solved by the method of undermined coefficients are the most convenient. 關(guān)鍵詞: 待定系數(shù)法 ; 因式分解; 函數(shù)解析式; 數(shù)列通項; 不等式; 向量 Keywords: method of undetermined coefficients; Factoring deposition; Analytical formula; Sequences of the general term; inequality; vector 杭州師范大學(xué)本科生學(xué)年設(shè)計(論文)正文 第 3 頁 共 11 頁 目 錄 1. 引言 …………………………………………………………………………… 4 2.待定系數(shù)法的定義 …………… ……………………………………………… 4 3.待定系數(shù)法的過程 …………………………………………………………… 4 4.待定系數(shù)法 解題的 常用題型 ……………………………………………… … 4 5.待定系數(shù)法實例 ……………………………………………………………… 4 ……………………………………………… 4 ……………………………………………… 5 數(shù)解析式 ……………………………………………… 6 ………………………………………………… 8 ………………………………………………… 9 6.總結(jié) …………………………………………………………………………… 11 7.參考文獻(xiàn) ………………………………………………………………………