导数高考题大全

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.ᨵᐵᑗḄ᳛⚪[2014•᪗ᐰᔁH]ᦪf(x)=X3—3xz+ax+2,y=f(x)ᙠ(0,2)ᜐḄᑗxḄᙶ᪗!-2.#aḄ$஺[2014&'ᔁ]ᙠ)☢+,ᙶ᪗-xOy./0y=ax2+(a,b!1ᦪ)3P(2,-5),45ᙠPᜐḄᑗ+7x+2y+3=0)6/ᑣa+bḄ$8______.[20149:ᔁ]y=-5ex+3ᙠ(0,-2)ᜐḄᑗ;

1pᧇA.9B.6C."9D.-6(2013
ὃᔁ(ᦻ))"2-Inxᙠ(1,Q)ᜐḄᑗxᑣCL—(2013
ὃᔁ(ᦻ))V=+1gwR)ᙠ(1,2)ᜐḄᑗᙶ᪗!IJQ(2013
ὃ"ᔁ(ᦻ))#$aGR,%ᦪf(x)=2x3-3(a+1)X2+6ax(I)@=1,)y=f(x)ᙠ(2,fফ)ᜐḄᑗ*+;(2013.
ὃ▷ᔁ(ᦻ))#$%ᦪ/(*)=ex,xeR(I))f(x)Ḅ1%ᦪḄ234234(1஺)ᜐḄᑗ*+6(2013
ὃᓅ8ᔁ(ᦻ))
"f(x)=%2+xsinx+cosx#$%ᦪ,y=/(x)(Q,/(Q))y=b(i)'''ᙠ''஻)ᜐ<=>ᑗ,஺b)<Ḅ?2013
ὃ@᪗Iᔁ(ᦻ))#$%ᦪ/(X)=ex(Qx+0)—%2-4xAB/(X)ᙠ(0,7(0))ᜐᑗ*+Cy=4x+4.

2DᧇI)"”Ḅ?62013
ὃHIᔁJᦻKK#$%ᦪ"xs=xT+2exauRᓃJ,CLᯠNᦪḄOᦪK.Pপy=/পᙠa,/পᜐḄᑗ)Ḅ?6ফ)%ᦪ/tXsḄ᩽?62013TUᦪVJᳮKKX/G=flG-5s2+61nYᐸ[஺£R\=/QᙠGjtDsᜐḄᑗ<ஹ’>_0,61`aḄ?62013HIᦪVJᳮKK#$%ᦪfx=x-a

3xaeRপba—c,)y=fMᙠati/পKᜐḄᑗ*+;2013d@᪗1JᳮKK#$%ᦪ/t%s=e+ax+bgx_excx+d/বghiপjpto,2s,ᙠpᜐᨵ>lḄᑗy=4%+2,,bcd....JIK),,,Ḅ?62013"ᦪVJᳮKK#$GGR%ᦪ/x=%3—3%2+3஺%—3஺+3.

4miপ#y=/(%)ᙠa/(D)ᜐḄᑗ;0).প#f(x)Ḅᓫu

5pᧇ(2014&ᳮ18)ᦪ/'(%)=(%2+bx+b)^Jl-2x,(Z?GR)(1)b=4/#"x)Ḅ᩽$(2014BCᳮ20)ᦪ/(%)=ae^x-m-2x-exḄfᦪ//(%)!Ꮤᦪ4y=/(%)ᙠ(0,஻0))ᜐḄᑗḄ᳛!4-c(2)0c=3,ᑨḄᓫឋ(2013hiὃᜧlᔁ(ᦻ))ᦪ7(*)+3a¥2+3x+l.প#a//fG)Ḅᓫឋ;u(2013hiὃ᪗IIᔁ(ᦻ))ᦪf(X)=X2e-x(I)#f(x)Ḅ᩽$᩽ᜧ$u2013hiὃ᪗Iᔁ(ᦻ))ᦪ/(¡)᜛5%+£)—%2—4%,y=/(%)ᙠ(0J(0))ᜐᑗ;

6pᧇ#$%ᦪ/(x)=ex_ln(x+m)(I)XP=°z/(%)Ḅ᩽?)'"{|}~(%)Ḅᓫsឋ(2013ḕᦪV(ᳮ)ᔁ)X%ᦪ/(*)=(*_l)ex-2(ᐸ[£R)(I)bP=1c,)%ᦪ/(%)Ḅᓫs6(2013ᜩᦪV(ᳮ))#$%ᦪ஻x)=%21n%(I))%ᦪf(x)Ḅᓫs6[2014⎎B]#$%ᦪ/প:inx,g(x)=*+bx"/«-g(x)পb஺=4=2c)%)Ḅ᩽ᜧ?2012
ὃ(TUᳮ))X/(x)=alnx+/+2x+1,ᐸ[aGRy=/(x)ᙠ(1Jপ)ᜐḄᑗ2%2ᚖ=y.(I))“Ḅ?6(II))%ᦪ/(x)Ḅ᩽?.(2012
ὃ(ᳮ))#$%ᦪ=Cᦪ,e=2.71828…zLᯠNᦪḄOᦪ)exy=/(x)ᙠ(1,/(1))ᜐḄᑗ

7pᧇ.pqḄᓫsឋஹ᩽?ஹᨬ?v⚪xB2(2014ᜩ°ᔁ)ᦪ/'(%)=%2->0),xG7?প#஻%)Ḅᓫ᩽$஺(2014X:ᔁ)Yᦪ஻%)=aln%+EGᐸ.Q!1ᦪx+1(1)0஺=0,#y=/(x)ᙠ(1Jপ)ᜐᑗ;<(2)ᒺ(%)Ḅᓫឋ:2;014ᔁX%ᦪf(x)=l+Q+a)x_X2_X3,ᐸ[aு0.প|}f(x)ᙠᐸa4ḄᓫsឋফbxE:0,1;c)f(x)ᨬᜧ?gᨬ?cḄxḄ?:2014,ᔁ#$%ᦪf(x)=ex—ax2-bx-1,ᐸ[a,beR,e=2.71828…CLᯠNᦪḄOᦪ.পXg(x)z%ᦪf(x)Ḅ¢%ᦪ)%ᦪg(x)ᙠ:0,1;4Ḅᨬ?(2014ᐰᜧlᔁ)ᦪ/1(x)=ax+3x2+3x(aw0)(1)ᦪf(x)Ḅᓫឋ(2014X:ᳮ20)ᦪ/Xx)=C--++ln%)%2X(1)³40/#ᦪf(%)Ḅᓫ2014hc´ᳮ(21){ᦪf(µ)=e<-ax2-bx-\,(1)Yg(x)8ᦪ/(x)Ḅfᦪ/#ᦪg(x)ᙠ0,1{Ḅᨬ$:2014•£¤ᔁbx£:-2,1;co¥¦ax3-X2+4X+3N0ឤᡂ©ᑣªᦪaḄ?¬z()

8pᧇ9A.[-5,-3]B.-6,-gC.[-6,-2]D.[-4,-3]t2014ᓭᳮ22s0a>0,ᦪ/'t%s=lntl+'x+(2013t1sᦪ/'t%sᙠt0,+8sᓫឋhiὃ¸&ᔁtᦻssaER,ᦪfx
=2x3-3a+1
X2+6axII
0>1,#fx
ᙠ¹[0,|2a|]Ḅᨬ$.2013hiὃᔁtᦻssᦪ/প=%T+uaeR஺t,!»ᯠ½ᦪḄ¾ᦪs.ফ#ᦪ/tXsḄ᩽$u2013hiὃX:ᔁtᦻssᦪ/t*s="2+ÂTn%ta,஺eRsIsY஺2°,#/tÃḄᓫ2013hiὃᓅᔁtᦻss/7>0/?>0"ஹax+bY/ᦪ஻%s=ÅÆ.tIs஻£ᓃ/ᦪ/t%sḄᓫឋu2013hBCᦪ¨tᳮssY/t%s=atx-5>+61nxÊ.*Ëy=/GsᙠGjtDsᜐḄᑗ/ÎTt஺,6s.

9pᧇ(2)#ᦪ/G)Ḅᓫ᩽$(2013ᦪ¨(ᳮ))ᦪ/(%)=eR)ফ#ᦪ/(%)Ḅ᩽$.(2013X:ᦪ¨(ᳮ))Yᦪ/(%)=Ï-+c(ceE).e2x(I)#"ᵨḄᓫஹᨬᜧ$u.ឤᡂ©v⚪x1.⚪Ñ
ᦪᙠÒÓḄᓫឋ/#ÔᦪḄÖ[2014•᪗ᐰᔁII]0ᦪf(x)=kx-lnxᙠQ,+8)ᓫ⌴Ø/ᑣkḄ¦$Ö8()A.(-8,-2]B.(-a),-1]C.[2,+oo)D.[1,+8)(2014ᐰᜧlᔁ)ᦪ/(x)=ax3+3x2+3%(Qw0)(2)0ᦪᙠ(1,2)8Øᦪ/#a¦$Ö(2014&ᳮ18)ᦪ/'*)=(x2+bx+b)[r^,(b£R)y(2)Ù(%)ᙠ(0/)ᓫ⌴Ø/#஺Ḅ¦$Ö(2013ὃÚ&'ᔁᳮᦪ)Yᦪ/(*)=

10x—axg(x)=ex-axᐸ.஺!Ûᦪ.

11pᧇপ0/(%)ᙠ(1,+8)8ᓫÜᦪ/4g(X)ᙠ(1/+°°)ᨵᨬ$/#஺Ḅ¦$Öu2014⎎ßàá
z{âãQ>0,=(%2-2ax)ex0஻%)ᙠ-1,1{8ᓫᦪ/#4Ḅ¦$Ö⚪
ឤᡂ⚪A.:2014,ᔁ{ᦪ/(X)=ex-äå!1ᦪ)ḄVTA,y=f(x)ᙠAᜐḄᑗ᳛!-1.প#aḄ$ᦪf(x)Ḅ᩽$u(2)çè:x>0,m()B.ឤᡂ(2014▷ᳮ21)ᦪf(%)=ln(l+%),g(x)=%•//(x)(x>0)(2)0ᦪ஻%)2ag(%)ឤᡂõ/#ÛᦪQ¦$Ö(2013hiὃᜧlᔁ(ᦻ))ᦪ/(x)=X3+3஺%2+3%+1.(II)0¡2,+8),/(%)20,#aḄ¦$Ö

12pᧇ[2013d@᪗1(ᳮ))#$%ᦪ/(%)+"X+",g஺)ex(c%+d),y=/(x)gy=g(x)jP(O,2),ᙠPᜐᨵ>lḄᑗy=4x+2(II)±2-2c"(x)W²(³,)*Ḅ?¬.[2015⎎B(ᦻ)]#$%^/1(%)=:%3—஺%2+(஺2-l)xপb´=1C/XX)Ḅ᩽?)஺Ḅ?(2)bX20c஻%)20,)4Ḅ?¬(2012
ὃ(ᜩᳮ))#$%ᦪ/(x)=x-ln(x+a)Ḅᨬ?C0,ᐸ[a>0.(I))aḄ?6(H)Nµ¶ḄA-e[0,+oo)ᨵf(x)=x3-3x+cḄ2Ç

13pᧇ)A.-2ᡈ2B.-9ᡈ3C.-1ᡈ1D.-3ᡈ1[2013▷ᔁᳮ21]ᦪ/(X)=£R(2)x>0,!y=/(x)#!y=$ᐳ&Ḅ(ᦪ[2014*+ᳮ20]?Pvᦪf(x)=—~k(—+Inx),X2x(2)1ᦪᙠ(0,2)ᑁ4ᙠ5(᩽7&,8᝕Ḅ:7<.