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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(xué)與信息科學(xué)學(xué)院專業(yè)信息與計(jì)算科學(xué)指導(dǎo)教師評(píng)閱教師班級(jí)2008級(jí)4班姓名學(xué)號(hào)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························································32.4換元法···············
3、················································32.5三角函數(shù)法··························································42.6單調(diào)性法·····························································42.7導(dǎo)數(shù)法·······························································53求解函數(shù)最值時(shí)應(yīng)注意的一些問題···············
4、···················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(duì)判別式的運(yùn)用··················································73.5注
5、意均值不等式的運(yùn)用················································84函數(shù)最值在實(shí)際問題中的應(yīng)用········································9結(jié)束語····································································12參考文獻(xiàn)·································································13內(nèi)江師范學(xué)院本科畢業(yè)論文摘要:函數(shù)最值問題是數(shù)學(xué)領(lǐng)域中的重
6、要研究內(nèi)容.它不僅僅只在教學(xué)中解決一些數(shù)學(xué)問題,而且經(jīng)常運(yùn)用于解決實(shí)際問題.在工農(nóng)業(yè)生產(chǎn)、經(jīng)濟(jì)管理和經(jīng)濟(jì)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(shí)常會(huì)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(jì)問題一般都可以轉(zhuǎn)化為數(shù)學(xué)中的函數(shù)類問題來分析研究,進(jìn)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(duì)研究實(shí)際問題的人們來說尤為重要.而函數(shù)最值問題的解法包括一元函數(shù)和多元函數(shù),同時(shí)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(duì)一元函數(shù)最值問題進(jìn)行研究,探討各種不同的求解方法,闡述函數(shù)最值
7、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(shí)應(yīng)注意的一些問題.關(guān)鍵詞:函數(shù);最值;高等解法;初等解法;微分Abstract:Themostvalueproblemismathematicalfunctionsinthefieldofimportantresearchcontent.Itnotonlyintheteachingsolvingmathematicalproblems,andoftenusedinsolvingpracticalproblems.Intheindustrialandagriculturalproduction,economicm