柯西中值定理的證明及應(yīng)用-資料下載頁
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【正文】 Normal University,Lanzhou 730070,China)Abstract:This paper introduces the proof and application of Cauchy meanvalue theorem from many angles. The methods of proof include: Roll theorem, Lagrange theorem, closed interval suit theorem, Darbou theorem and changing the direction of coordinate system。 The applications contend: solving the problem of limitation, proving inequality, proving monotonicity, proving unanimously successive, proving the function have border, proving unanimously successive, researching the problem of fixed point,being the relationship between function and derivative,and demonstrating the meanvalue formula.Key words:Cauchy meanvalue theorem。 proof。 application參考文獻[1] 陳紀修，於崇華，金路，數(shù)學(xué)分析（上）[M]. 第二版北京：[2] （上）[M].第三版 北京：[3] [M]. 第二版北京： [4] 黃德麗 用五種方法證明柯西中值定理[J]湖州師范學(xué)院學(xué)報, 2003, 27～30[5] 張躍平,葛健芽,沈利紅. 柯西中值定理的證明與應(yīng)用[J]金華職業(yè)技術(shù)學(xué)院學(xué)報, 2006, 57～60[6] 葛健芽, 張躍平, 沈利紅. 再探柯西中值定理[J]. 金華職業(yè)技術(shù)學(xué)院學(xué)報, 2007, 81～84第 16 頁 共 16 頁
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