函数与导数压轴题方法归纳与总结

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1、函数与导数压轴题方法归纳与总结题型与方法题型一　切线问题例1　(二轮复习资料p6例2)归纳总结：题型二　利用导数研究函数的单调性例2　已知函数f(x)＝lnx－.(1)求f(x)的单调区间；(2)若f(x)在[1，e]上的最小值为，求a的值；(3)若f(x)

2、y.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypa

3、rtyCommitteeSecretary,Ministersand归纳总结：题型三已知函数的单调性求参数的范围例3.已知函数在上为增函数，且,（1）求的值.（2）若上为单调函数，求的取值范围.归纳总结：otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,andDirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrga

4、nization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofNingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand题型四已知不等式成立求参数的范围

5、例4..设f(x)＝＋xlnx，g(x)＝x3－x2－3.(1)当a＝2时，求曲线y＝f(x)在x＝1处的切线方程；(2)如果存在x1，x2∈[0,2]使得g(x1)－g(x2)≥M成立，求满足上述条件的最大整数M；(3)如果对任意的s，t∈都有f(s)≥g(t)成立，求实数a的取值范围.归纳总结：跟踪1.已知（m,n为常数）在x=1处的切线为x+y－2=0（10月重点高中联考第22题）（1）求y=f(x)的单调区间；otherstaffoftheCentre.Duringthewar,ZhuwastransferredbacktoJiangxi,and

6、DirectorofthenewOfficeinJingdezhen,JiangxiCommitteeSecretary.Startingin1939servedasrecorderoftheWestNorthOrganization,SecretaryoftheSpecialCommitteeAfterthevictoryofthelongMarch,hehasbeentheNorthwestOfficeoftheFederationofStateenterprisesMinister,ShenmufuguSARmissions,DirectorofN

7、ingxiaCountypartyCommitteeSecretaryandrecorderoftheCountypartyCommitteeSecretary,Ministersand（1）若任意实数x∈，使得对任意的t∈[1,2]上恒有成立，求实数a的取值范围。跟踪2.设f(x)＝－x3＋x2＋2ax.（加强版练习题）(1)若f(x)在(，＋∞)上存在单调递增区间，求a的取值范围；(2)当0

8、，a≠0.(1)求f(x)的单调区间；(2)若f(x)在x＝－1处取得极值，直线