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导数的引进无疑为中学数学注入了新的活力,但同时由于概念不清而致误的情形也时常发生.本文对几类常见错误进行剖析,以期引起大家的注意.1忽视导数的几何意义例1已知曲线f(x)=2x3-3x,过点M(0,32)作曲线f(x)的切线,求切线的方程.错解:由导数的几何意义知,k=f′(0)=-3,所以,曲线?
The introduction of derivatives will undoubtedly inject new vitality into the mathematics of middle school, but at the same time, the cases of mistakes caused by unclear concepts often occur.This paper analyzes several common mistakes in order to arouse people’s attention.1 The geometric meaning of derivative 1 Knowing the curve f (x) = 2x3-3x, crossing M (0,32) as the tangent to the curve f (x), find the equation for the tangent. Misinterpretation: Given the geometric meaning of the derivative, k = f ’ 0) = - 3, so, the curve?