## 浅谈微分学在中学数学中的应用

Discussion on The Application of Differential Calculus in Mathematics in Secondary Schools
Abstract: Differential calculus is an important part of mathematics，it is a tool to solve some questions in middle school mathematics. This article from the definition of differential calculus in higher mathematics and in the middle school mathematics， in-depth study of the application of the differential calculus in middle school mathematics. This paper sums up six kinds of problem solving differential types of mathematics in middle school，and can solve the questions. Each question solving differential method and thought，the author has given out problem solving methods. The important content of different solutions using the same type of problem solving process and attention should be paid to the focus of the content，the author also clarify one by one.
Key words: Differential；Middle School Math；The New Teaching Reform

1.微分的定义    3
1.1微分在高等数学中的定义    3
1.1.1可微性    3
1.1.2复合函数微分法    3

1.1.3 极值问题    3
1.2微分在中学数学中的定义    4
1.2.1导数的相关概念    4
1.2.2导数在研究函数中的应用    5
2.微分在中学数学中的应用    6
2.1微分在求函数极值和最值问题中的应用    6
2.2微分法在不等式证明中的应用    9
2.3微分学在研究函数图象中的应用    11
2.4利用微分中值定理证明方程根的存在性    12
2.5微分法在函数单调性问题上的应用    14
2.6微分法在曲线的切线问题上的应用    16
3.结束语    16

浅谈微分学在中学数学中的应用
引言

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