导数是高中数学的重要内容,也是学好大学的微积分的重要基石,因此在高考中占有重要的地位.纵观近十年的高考试题,笔者发现,全国各省市的高考数学卷往往以导数的综合解答题作为压轴题居多.这类试题,由于其综合性高,方法多姿多彩,技巧性强,所以难度往往很大,因此,如何突破这方面的内容变成一个重要的研究课题.笔者又发现,近十年的高考及各类考试,形成了好几类热门题型,如恒成立问题,导数零点不可求题型,对数平均不等式题型等等.这 The derivative is an important part of high school mathematics, and it is also an important cornerstone for learning the calculus of the university. Therefore, it occupies an important position in the college entrance examination. Throughout the past ten years of high test questions, the author found that the college entrance examination mathematics volumes in all provinces and cities are often derivative. Comprehensive answers to questions as the majority of questions. Such questions, because of its comprehensive high, colorful methods, strong skills, so the difficulty is often very large, so how to break the content of this area has become an important research topic. Also found that in the past ten years of college entrance examinations and various examinations, there have been several types of hot questions, such as the establishment of constant problems, zero-derivative zero-derivatives, logarithmic mean inequalities, and so on.