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导数在高中数学的解题中应用非常广泛,对于函数、不等式和解析几何等类型的题目,导数是最有效的解题方法.下面通过实例进行具体介绍.1.利用导数求解函数极值问题函数极值问题一直是高中数学中的重点和难点,要求学生在掌握函数基本性质的基础上学会解决实际问题.虽然解决极值问题的方法有很多种,但利用导数知识求解是最简单最准确的方法.
Derivatives are widely used in high school mathematics to solve problems. For functions, inequalities, analytical geometry, and other types of problems, derivatives are the most effective method to solve problems. The following examples are used to introduce the specific problems. 1. Use derivatives to solve function extreme value problem functions The problem of extreme value has always been the focus and difficulty in high school mathematics. Students are required to learn to solve practical problems on the basis of mastering the basic properties of the function. Although there are many ways to solve the problem of extreme values, solving with the knowledge of derivatives is the simplest and most accurate. method.