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                深圳智學學習網 - 輕松學習拿文憑從此開始!深圳積分入戶考證快速加分!

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                2016年成人高考專升本《高等數學》必背資料(3)

                時間:2015-12-30 10:35:46作者:深圳智學學習網

                羅爾定理、拉格朗日中值定理

                要求

                (1)理解羅爾定理、拉格朗日中值定理及它們的幾何意義。會用羅爾定理證明方程根的存在性。會用拉格朗日中值定理證明簡單的不等式。

                (2)熟練掌握用洛必達法則求各種型未定式的極限的方法。

                (3)掌握利用導數判定函數的單調性及求函數的單調增、減區間的方法,會利用函數的單調性證明簡單的不等式。

                (4)理解函數極值的概念。掌握求函數的極值、最大值與最小值的方法,會解簡單的應用問題。

                (5)會判斷曲線的凹凸性,會求曲線的拐點。

                (6)會求曲線的水平漸近線與鉛直漸近線。

                (7)會作出簡單函數的圖形。

                一元函數積分學

                ()不定積分

                1、知識范圍

                (1)不定積分、原函數與不定積分的定義、原函數存在定理不定積分的性質

                (2)基本積分公式

                (3)換元積分法、第一換元法(湊微分法)、第二換元法

                (4)分部積分法

                (5)一些簡單有理函數的積分

                2、要求

                (1)理解原函數與不定積分的概念及其關系,掌握不定積分的性質,了解原函數存在定理。

                (2)熟練掌握不定積分的基本公式。

                (3)熟練掌握不定積分第一換元法,掌握第二換元法(限于三角代換與簡單的根式代換)

                (4)熟練掌握不定積分的分部積分法。

                (5)會求簡單有理函數的不定積分。

                (責任編輯:馬老師 )

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