导数是解决函数的单调性、最值、不等式证明等问题的有力工具,其应用相当广泛,因而是每年高考考查的重点与热点,但考生在这里失分较多,利用导数求曲线的切线方程是导数的重要应用之一,本文对此问题进行探索研究,归纳总结出了几种常见问题,供广大教师和同学们参考.1.给定切点的曲线切线问题例1求曲线y=xex+2x+1在点(0,1)处的切线方程.解因为点(0,1)在曲线y=xex+2x+1 Derivatives is a powerful tool to solve the monotonicity, the most value and the inequality proof of function. Its application is quite extensive, so it is the focus and hot spot of college entrance examination every year. However, the examinee lost scores more here, and the tangent equation Is one of the important applications of derivatives, this paper explores the issue, summed up several common problems, for the majority of teachers and students reference .1 tangent curve given a tangent problem Example 1 seeking the curve y = xex + 2x + 1 The tangent equation at point (0,1). The solution is because point (0,1) is on the curve y = xex + 2x + 1