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1、本科畢業(yè)論文題目函數(shù)最值問題解法探討院別數(shù)學與信息科學學院專業(yè)信息與計算科學指導教師評閱教師班級2008級4班姓名學號2012年5月12日目錄摘要·······································································ⅠABSTRACT·····························································Ⅰ1引言························································
2、··············12求函數(shù)最值的幾種解法探討···········································12.1判別式法·····························································12.2配方法·······························································22.3均值不等式法······················································
3、··32.4換元法·······························································32.5三角函數(shù)法··························································42.6單調(diào)性法·····························································42.7導數(shù)法···························································
4、····53求解函數(shù)最值時應注意的一些問題··································63.1注意定義域···························································63.2注意值域·····························································63.3注意參變數(shù)的約束條件················································73.4注意對判別式的運用·······
5、···········································73.5注意均值不等式的運用················································84函數(shù)最值在實際問題中的應用········································9結(jié)束語····································································12參考文獻····································
6、·····························13內(nèi)江師范學院本科畢業(yè)論文摘要：函數(shù)最值問題是數(shù)學領域中的重要研究內(nèi)容.它不僅僅只在教學中解決一些數(shù)學問題，而且經(jīng)常運用于解決實際問題.在工農(nóng)業(yè)生產(chǎn)、經(jīng)濟管理和經(jīng)濟核算中，常常遇到一些解決在滿足一定條件下怎樣使產(chǎn)出最多、效益最高但投入最小等之類的問題.生活中也時常會見到求用料最省、效率最高、利潤最大等問題.而這些生活和經(jīng)濟問題一般都可以轉(zhuǎn)化為數(shù)學中的函數(shù)類問題來分析研究，進而轉(zhuǎn)化為求函數(shù)最大（?。┲档膯栴}，即為函數(shù)的最值探討，這尤其對研究實際問題的人們來說尤為重要.而函數(shù)最值問題的解
7、法包括一元函數(shù)和多元函數(shù)，同時也有初等與高等解法之分.本文主要通過從初等解法方面對一元函數(shù)最值問題進行研究，探討各種不同的求解方法，闡述函數(shù)最值問題研究的重要性，得到求解函數(shù)最值的幾種方法及求解時應注意的一些問題.關鍵詞：函數(shù)；最值；高等解法；初等解法；微分Abstract:Themostvalueproblemismathematicalfunctionsinthefieldofimportantresearchcontent.Itnotonlyintheteachingsolvingmathematicalproblems,andofte
8、nusedinsolvingpracticalproblems.Intheindustrialandagriculturalproduction,economicm
