## 中学数学中函数应用题的解题研究

Study on Solving Function Application Problems in Middle School Mathematics
Abstract: The application of function in Math is the focus and difficulty in middle school. Through researching the process of solving the problems, we can broaden the students' problem-solving ideas and improve the efficiency of solving the problems. In this paper, at the beginning, we introduce the type and background of function application problems in middle school mathematics. Then we analyses the problem-solving thinking and methods of function application problems. Finally, we put forward different skills on how to solve function application problems.
Key words: Middle school mathematics; application; function model

1.中学数学中函数应用题教与学中存在的常见问题     3
1.1中学数学中函数应用题的研究背景    3
1.2学生在解中学数学函数应用题时的障碍    3
1.3教师在中学数学函数应用题的教学中存在的问题与研究    5
2.中学数学中常见函数应用题的类型    5
3.解函数应用题的基本思路和方法    6
3.1解答函数应用题的关键点    6 源￥自%六^^维*论-文+网=www.lwfree.cn
3.2求解函数应用题的思路和方法    6
3.3函数建模的过程    6
4.几类中学函数应用题的解题技巧    7
4.1一次函数模型    7
4.2二次函数模型    9
4.3幂函数模型    10
4.4根式函数模型    10
4.5分段函数模型    11
4.6指数函数模型    12
4.7对数函数模型    13
4.8三角函数模型    14
5.总结    16

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