函數(shù)單調(diào)性解題
Monotonic function of problem-solving


摘要：函數(shù)單調(diào)性貫穿著我們的學(xué)習(xí)，是函數(shù)的重要性質(zhì)之一，我們通過利用函數(shù)單調(diào)性可以解決很多復(fù)雜的數(shù)學(xué)問題，本文通過對國內(nèi)外文獻的查閱，希望能對函數(shù)單調(diào)性解題給出系統(tǒng)的、綜合的整合，給其他學(xué)生方便。本文第一章主要介紹函數(shù)單調(diào)性的定義及分析，第二章給出了函數(shù)單調(diào)性的判定，第三章給出了在一些復(fù)雜問題中可能應(yīng)用到的函數(shù)單調(diào)性的定理和性質(zhì)。第四章給出了函數(shù)單調(diào)性解題的主要方法和例題。通過深入的研究這些立體可以很好的體現(xiàn)出函數(shù)單調(diào)性在解體方面的作用。
關(guān)鍵詞：函數(shù)單調(diào)性； 定義； 判斷； 主要方法。


Abstract: Monotonic function throughout our study is one of the important properties of functions, we can solve many complex mathematical problems by using the function monotonic, Based on the literature of the inspection, hoping to give for solving monotone function comprehensive integrated system to other students convenient. The first chapter introduces the definition and analysis of monotonic function, The second chapter gives a monotonic function of judgment, The third chapter gives the theorems and properties in some of the complex issues that may be applied to a monotonic function of, The fourth chapter gives a monotonic function of the main methods and examples of problem solving. Through in-depth study of these three-dimensional effects may well reflect the monotonic function in terms of disintegration.

KeyWords：Monotonic function； definition； judgment； main methods.

目 錄
第一章 函數(shù)單調(diào)性的定義及分析 5
第二章 函數(shù)單調(diào)性的判定 6
第三章 函數(shù)單調(diào)性的常用定理及性質(zhì) 10
第四章 函數(shù)單調(diào)性解題 13
第五章 總結(jié) 20
致 謝 21
參考文獻： 22