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在高中新课标改革的背景下,利用导数分析和解决问题,为导数应用价值的鲜明体现.高中数学导数的应用中必须贯穿函数的思想,能够运用高中数学导数公式对函数的切线问题进行解决、对函数极值问题的考虑以及判断函数的单调性等都是导数的应用,并且在应用领域呈现不断扩大的趋势,新课改在高考题目的考查中,有逐渐加强的态势.一、导数的定义与几何意义导数是导函数的简称,其概念是在瞬时速度上发展起来的,因此与物理有着紧密的联系,其准确定义为:
In the context of the new curriculum reform of high schools, the use of derivatives to analyze and solve problems is a clear manifestation of the value of derivative applications. The application of mathematical derivatives in high schools must permeate the idea of functions, and the use of high school mathematical derivative formulas to solve the tangent problems of functions. The application of the derivative of the function extremum consideration and the monotonicity of the judgment function are presented in the application field, and the new curriculum reform has gradually strengthened in the examination of the college entrance examination topic. I. Derivatives The definition of the definition and the derivative of the geometric meaning is the abbreviation of the derivative function. Its concept is developed at the instantaneous speed, and therefore has a close relationship with the physics. It is accurately defined as: