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函数应用问题是指将实际问题转化为函数问题,建立起函数的“数学模型”.这类问题,不仅考查同学们的基础知识,同时能够考查同学们的应用思想和应用意识,认真审题,依据已知条件建构函数模型是求解的关键,其次要熟练掌握诸如一次函数、二次函数及反比例函数的性质.下面举例加以说明,供参考.例题1(2013年河北省中考试题)某公司在固定线路上运输,拟用运营指数Q量化考核司机的工作业绩.Q=W+100,W的大小与运输次数n及平均速度x(km/h)有关(不考虑其他因素),W由两部分的和组成:一部分与x的平方成正比,另一部分与x的n倍成正比.试行中得到了下表中的数据.
The problem of function application refers to the problem of converting the actual problem into the function and the function of “mathematical model.” Such problems not only examine the students ’basic knowledge, but also examine the students’ , Based on known conditions to construct the function model is the key to solving, and secondly, to master the nature of such as a function, quadratic function and inverse function of the following examples to illustrate, for reference .Example 1 (Hebei Province 2013 2013 exam) a company It is proposed to quantify the performance of the driver by the operation index Q. Q = W + 100, the size of W is related to the number of transportation n and the average speed x (km / h) (excluding other factors), W The sum of two parts: one part is proportional to the square of x, the other part is proportional to n times x The data in the following table is obtained during the trial.