导数在中学数学中的应用--大学生毕业论文（设计）.docVIP

学士学位毕业论文 导数在中学数学中的应用 Application of derivative in the middle school mathematics  导数的应用 【摘要】本文主要对导数在中学数学中的几个方面进行了详细的归纳和总结。首先，总体对导数在中学中的应用进行整理和分析，分为在求函数单调性与极值方面的应用，在几何方面的应用，在不等式方面的应用，在数列方面的应用以及在解决实际问题方面的应用。第一方面中，提出应用导数判断函数单调性，求函数极值、最值三个小节。第二个方面中，主要提出应用导数求解曲线的切线方程的方法分为三个小节，重点指出求二次曲线的切线方程。第三个方面中重点提出应用导数证明不等式及求解不等式。第四个方面，利用导数解决数列问题。第五个方面，除了利用导数解常规问题外，还提出导数关于中心图形题型的应用。 【关键词】中学数学导数?? 应用 About the application of derivative Chen bin 【Abstract】This paper concludes and summarizes several derivatives of mathematics in secondary schools in the aspects of. First of all, the collation and analysis of the application of derivative in the middle school, divided into application in the field of function monotonicity and extreme, applications in geometric terms, used in inequality, application in sequence and the application in solving practical problems. The first aspect, proposed the application of derivative judge monotonicity of function, function extremum, the value of three sections. In second aspects, mainly proposed tangent equation application derivation curve is divided into three sections, and points out the tangent equation of two conics. Third aspects and puts forward the application of derivative to prove inequality and inequality. Fourth, the use of derivative to solve the series of problems. Fifth aspects, in addition to using derivative solution routine problems, application of derivative of graphic types are also presented. 【Key words】Middle school math derivative application 目录 1 序言………………………………………………………………………………………1 2 导数在函数方面的应用……………………………………………2 2.1函数单调性的讨论……………………………………………………………2 2.2函数的最值（极值）的求法 ……………………………………………3 2.3函数的图象的作法 ……………………………………………………………5 3 导数在几何方面的应用…………………………………………………6 3.1 应用导数的几何意义，求解一般曲线的切线和法线…………………………………6 3.2 求曲线以参数方程给出的切线和法线方程 ……………………………………………9 3.3二次曲线以隐式给出求其切线方程………………………………………………9 4 导数在证明不等式方面的应用 …………………………………………11 5 导数在解决实际问题方面的应用……………………………………………13 6 导数在其他方面的应用……………………………………………………………14 结论……………………