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导数作为高中新教材内容之一,它给高中数学增添了新的活力,特别是导数广泛的应用性,为解决函数、切线、不等式、数列、任意性等问题带来了新思路、新方法,为我们展现了一道亮丽的风景线,也使它成为新教材高考试题的热点和命题新的增长点.这几年的高考命题趋势表明:导数的地位逐步上升,成为分析问题和解决问题的重要工具.将导数与传统内容结合,不仅能加强能力的考查力度,而且也使试题具有更广泛的实际意义.下面举例探讨导数的应用.一、利用导数解决切线问题1.求过某一点的切线方程
Derivatives, as one of the contents of new high school textbooks, add new vitality to high school mathematics, especially its wide applicability. It brings new ideas and new methods to solve the problems of functions, tangents, inequalities, numbers and arbitrariness, For us to show a beautiful landscape, but also make it a new textbook college entrance examination hot topics and propositions new growth point.The past few years college entrance examination proposition trend shows that: the derivative status gradually increased, become an important tool to analyze and solve problems The combination of derivative and traditional content, not only can enhance the strength of the test, but also make the test has a broader practical significance. The following examples explore the application of derivatives. First, the use of derivatives to solve the tangent problem 1. Find a point tangent equation