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在中学数学教学中,函数是一块非常重要的内容,在历次考试中均是考查的重点,尤其是对函数值域的考查,都要求学生具有较强的综合能力。函数是研究一些单一变量最优化问题的常用数学模型,如求利润(产品销售)等,这些问题的解决都和函数的值域有关。求函数值域的方法有很多,例如直接法、反函数法、配方法、判别式法、换元法、不等式法、求导法(单调性法)、数形结合法等等。
In middle school mathematics teaching, the function is a very important content, in all previous examinations are the focus of examination, especially for the test of the functional range, require students to have a strong comprehensive ability. The function is a common mathematic model for studying some single variable optimization problems, such as seeking profit (product sales) and so on. The solution of these problems is related to the range of the function. There are many ways to find the value range of the function, such as direct method, inverse function method, matching method, discriminant method, substitution method, inequality method, derivation method (monotonicity method), number combination method and so on.