导数是研究函数的单调性、极值(最值)及切线等问题的有力工具,在高考题中常与其他知识点交汇。课本上许多关于三角函数、不等式、解析几何、数列等问题,如果利用导数知识,将起到事半功倍的效果。本文主要从《数学》北师大版中选例介绍导数在其他知识点上的应用。一、利用导数解决解析几何问题 Derivatives are powerful tools for studying monotonicity, extremum (extreme value), and tangent of functions, etc. They often intersect with other knowledge points in the entrance exams. Many textbooks on trigonometric functions, inequalities, analytic geometry, series and other issues, if the use of derivative knowledge, will play a multiplier effect. This article mainly from the “Mathematics” Beijing Normal University version of the introduction of derivatives in other knowledge points on the application. First, the use of derivatives to solve the problem of analytic geometry