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纵观近几年高考数学试卷,笔者发现对导数的考查力度逐渐加大.例如,在2012年高考全国卷中,第10,12,21题涉及导数,总分值为22分;在2012年高考山东卷中,压轴题也为导数问题,分值为13分.可见,能够灵活应用导数研究函数,具有十分重要的作用.现就几道高考题谈谈导数考查的主要题型及相应解题方法.一、利用导数几何意义求切线方程例1(2009年宁夏海南高考题)曲线y
Throughout the college entrance examination mathematics papers in recent years, I found that the test of derivatives gradually increased.For example, in the national college entrance examination in 2012, the first 10, 12, 21 questions involving derivatives, with a total score of 22 points; in 2012 Entrance Shandong volume, the finale problem is also a derivative problem, the score is 13. It can be seen that the flexibility to apply the derivative function, has a very important role. Now on several college entrance examination to talk about the main types of derivative test and the corresponding solution Problem method. First, using the geometric meanings of the derivative Find the tangent equation Example 1 (2009 Ningxia Hainan college entrance examination questions) curve y