輔助函數(shù)在數(shù)學(xué)分析上的應(yīng)用畢業(yè)論文-全文預(yù)覽
【正文】 ication of auxiliary functions as functions of the important, also has a lot of applications in mathematical analysis. This detail have local from can as auxiliary function of function, auxiliary function of constructed method and auxiliary function in mathematics analysis in the of application this three chunks start, focuses on introduced auxiliary function law in mathematics analysis in the of using, while also will briefly to description auxiliary function law of defines, and auxiliary function of some mon constructed method and can as auxiliary function of function, to pioneering on this class problem of settlement ideas. Keywords Auxiliary function, construction, application of mathematical analysis 畢業(yè)設(shè)計(jì)（論文） 目錄 1 引言 ................................................................................................................................ 1 研究意義 .............................................................................................................. 1 輔助函數(shù)法的定義 .............................................................................................. 1 2 可作為輔助函數(shù)的函數(shù) ............................................................................................... 2 單調(diào)函數(shù) ............................................................................................................... 2 Lagrange 函數(shù) ....................................................................................................... 2 3 輔助函數(shù)的構(gòu)造方法 ................................................................................................... 5 幾何法 .................................................................................................................. 5 積分意義法 ................................................................................................ 5 三點(diǎn)定拋物線法 ........................................................................................ 6 原函數(shù)法 .............................................................................................................. 7 微分方程法 .......................................................................................................... 8 常數(shù)分離法 .......................................................................................................... 9 4 輔助函數(shù)法在數(shù)學(xué)分析中的運(yùn)用 ............................................................................. 11 證明中值定理 .................................................................................................... 11 解決有關(guān)不等式與等式的問(wèn)題 ........................................................................ 11 不等式的問(wèn)題 .......................................................................................... 11 證明等式 .................................................................................................. 12 解方程及探討方程的根 .................................................................................... 12 5 結(jié)論 .............................................................................................................................. 14 致謝 ..................................................................................................................
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