曲线y=f(x)在点x0的导数f′(x0)就是曲线在该点的切线的斜率,我们通常用导数的这个几何意义来研究一些与曲线的切线有关的问题,但同学们在解题时常忽视对切点的情况进行具体分析,引起错解.本文仅对应用导数的几何意义求切线引起的误解进行剖析.题目求曲线y=3x-x3过点P(2,-2)的 The derivative of the curve y = f (x) at point x0, f ’(x0), is the slope of the tangent to the curve at this point. We usually study some of the problems with the tangent to a curve using the geometric meaning of derivatives, Problem solving often overlooked the point of the specific analysis of the situation, causing misunderstanding.In this paper, only the geometric meanings of the derivative of the tangent caused by the misunderstanding of the analysis.Problem for the curve y = 3x-x3 P (2, -2) of