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导数为研究函数的性质提供了更多的思路,用好求导这个武器,可使一些复杂问题变得简单起来。近年来高考对导数的应用考题内容丰富、形式多样,本文举例介绍关于导数问题的常见考题及求解方法,供同学们参考。一、切线问题例1(2013年广东卷)若曲线y=kx+lnx在点(1,k)处的切线平行于x轴,则k=____。分析由于切线的斜率就是切点处的导数值,所以本题只要求在点(1,k)的导数,再令其值为0,就能求出参数
Derivatives provide more ideas for the study of the nature of the function. Making the best use of this weapon can make some complicated problems easier. In recent years, college entrance examination on the application of derivative test content rich, diverse forms, this article gives an example on the derivative of the common test questions and solving methods for students to reference. First, the tangent problem Example 1 (Guangdong 2013) If the curve y = kx + lnx tangent at the point (1, k) parallel to the x-axis, then k = ____. Analysis Because the slope of the tangent is the derivative of the tangent point, this question requires only the derivative at point (1, k), and then let the value be 0, the parameter can be found