从近年来各个省的高考题中可以看出,导数在高考中的地位越来越突出,在命题的过程中并不是简单的考查导数,往往与方程、不等式以及数列等相互联系,因此,在教学过程中,教师应重视导数在高中数学解题中的应用.一、利用导数研究曲线的切线导数的应用经常与函数的图象、性质及解析几何知识交汇命题,多以填空题或以在解答题中关键一步的形式出现,解这类题型的关键是要理解导数的几何意义,即函数在x_0处的导数f’(x_0)的几何意义是曲 It can be seen from the college entrance examination papers of various provinces in recent years that the derivatives are more and more prominent in the college entrance examination. In the process of propositions, they are not simple test derivatives, and are often linked with equations, inequalities and numbers. Therefore, Teaching process, teachers should pay attention to the derivative in high school mathematics problem solving application.One, the use of derivative research curve tangential derivative of the function often with the image, nature and analytic geometry knowledge intersection proposition, and more to fill in the blank or in The key step in the solution to the problem appears. The key to solving such questions is to understand the geometric meaning of the derivative, that is, the geometric meaning of the derivative f ’(x_0) at x_0 is