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函数的应用问题,是常见的数学知识的应用题,经常涉及物价、路程、产值、环保等现实生活中的实际问题,也可涉及角度、面积、体积、造价的最优化问题.在解此类问题的过程中,首先需要在实际的情境中去理解、分析所给的一系列数据,舍弃与解题无关的因素,抽象转化为数学模型. 一、二次函数类型应用问题例1 渔场中鱼群的最大养殖量是m吨, 为保证鱼群的生长空间,实际养殖量不能达到最大养殖量,必须留出适当的空间量.已知鱼群的年增长量y吨和实际养殖量x吨与空间率乘
The application of functions is a common application of mathematics knowledge, often involving actual issues such as price, distance, output value, and environmental protection in real life, as well as optimization problems of angle, area, volume, and cost. In the process of a problem, first of all, it is necessary to understand and analyze a series of data in an actual situation, to abandon the factors unrelated to the problem, and to transform the abstraction into a mathematical model. I. Application of a quadratic function Example 1 Fish in the fishery The maximum culture volume of the group is m ton. To ensure the growth space of the fish school, the actual culture volume cannot reach the maximum culture volume, and an appropriate amount of space must be set. The annual growth of the known fish population is y tons and the actual culture volume is x ton Multiplied by space rate