## 逆向思维在高等数学中的应用

On Application of Reverse Thinking In Higher Mathematics
Abstract: In recent years, along with the study of reverse thinking in Higher Mathematics deeply, a lot of good research results have been made, obviously, is widely applied in the definite integral, indefinite integral, the median differential theorem,function derivative and so on，a lot of meaningful results are obtained through their study on the how clever use of reverse thinking. This paper firstly introduces the use of theorem, definition, formula and the definite integral, indefinite integral, the median differential theorem, function derivative and so on, and then introduces how to choose and use of reverse thinking suitable, based on the analysis, the use of reverse thinking in Higher Mathematics comb, for a summary.

Key words: Reverse Thinking ; higher Mathematics ; Integral Set ; Integral Variable ; The Median Differential Theorem
目    录

1．预备知识    3
1.1 定积分的定义    3
1.2 罗尔（Rolle）中值定理    3 源￥自%六^^维*论-文+网=www.lwfree.cn
2．逆向思维在定积分中的应用    3
2.1 利用定积分的定义求极限    4
2.2 逆用定积分的定义求极限    4
2.3 利用重心公式求积分    5
2.4 可积的必要条件    5
3. 逆向思维在微分罗尔中值定理中的应用    6
3.2 运用罗尔定理证明根的存在性    7
4．结束语    9

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