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解析几何历来是高考数学的重要组成部分.近几年随着新增内容导数的出现,解析几何的高考命题方向由原来曲线与直线相交逐渐转变为曲线与直线相切.其中“向曲线引一类切线”成了解析几何与导数交汇点上设计问题的典型素材,应引起我们足够重视.本文主要介绍向曲线引一类切线的求解过程及对策.1会借栈道——“Δ=0”过曲线外某一点向曲线引切线,可以先把曲线转化为函数式,当求导运算较为困难时,不妨设曲线上
Analytic geometry has always been an important part of college entrance examination mathematics.In recent years with the advent of new content derivatives, analytic geometry of the college entrance examination proposition direction from the original curve and straight line gradually into a curve tangent to the straight line. A class of tangents “has become a typical material for analyzing the design problems at the intersection point of geometry and derivative, which should be paid more attention to by our paper.This paper mainly introduces the process of solving a class of tangents to the curve and its countermeasures. = 0 ”A point beyond the curve leads to the curve tangent, the curve can be converted to a functional first, when the calculation of the derivative is more difficult, may wish to set the curve