数学必修一导学案全册：必修一导学案与练习全册

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28(3)b-2x=93s(4)b-2n=3m(m,neNA§3.2(1)ᢣᦪᭆ/Ḅ᡽ᐙ(ᫀ)ஹ(10ᑖ)Xஹ×X×(3ᑖV)ஹ%%(7ᑖ)ØÙÚ᪗1.ÜÝᑖᦪᢣᦪÞA᪷ÐḄᭆáâឋ/.2.ÜÝ᪷ÐAᑖᦪᢣᦪäḄåᓄ.1d3.æçᦪᢣᦪèḄéê.(1)83(2)273.kஹëXë(15ᑖV)1ஹ(ìíîপð᝞*஻£Z)ḄÐôõö஺Ḅ,ᐸ°õö஻õö.(3)(0.064)-J-,+[(-2)3/+16-஺+|-0.01|iফo஻1᦮ᦪ[/⊤ûo஻=0[ü»a°(a0)=_;oᢣᦪ1ÿ᦮ᦪ஻(஻wN,)an=(d0).2.ᓄᓝ(₹-12+9.2ஹ▅ᩞᧇP64-P66,ᡂᑡ⌕!"#$%&஺(1))ᦪ஺*+,-)Ḅ᦮ᦪm,n(m,n23)4ᙠ6Ḅᦪb,89ᡃ;஺Ḅ,?@,ABCᑖᦪᢣᦪ஺3..ᵨᑖᦪᢣᦪ⊤ᑡᔜX(X{ᙳRᦪ)D᝞b3=64»ᑣb=Jx_2n=7?m(m.neN),x=஺+(1)VaKb5=ফ᪗m=(3)=.>•(2)ᨵᡃ;0)஺"#d(l)ஹJ(-5>=(2)ஹᙬ-5)3=(3)ஹ4(-5>=(4)ஹ°=D᝞tu=_____J10_&hJ(g)=஺±ஹ??(5ᑖ)(6)◤⌕y-ḄCᢣᦪz஺{஺ᜧ+0,CI_0.3ஹᡂ}~P66%&⚪1஺ᑖᦪᢣᦪ²ḄYXC³᪵ḄᢣᦪlmCpᳮᦪ¬IO75Cqᦪ¬ᢣᦪḄ¶·¹C4ஹ<ᑡᔜX{Ḅb(b>0)ᑏᡂᑖᦪᢣᦪḄYXd«¬⌕º»%Ḅ¼½ᑖᦪᢣᦪḄ¾(1)b'=27J(2)b'=27J

29§3.2À1ÁᢣᦪᭆÃḄ᡽ᐙÀÆ%&Áஹ⌱È⚪ভ0.000ম647য0.125F1.64=39>0Á,ᑣb¨+ÀÁ1A.34B.34C.43D.3$ö·÷øù2.64ÎḄÏÐÀÁA.2B.-2C.JD.J73.<:Ñᓄ᪷XYX)12.<ᑡᔜX{C᪷XḄᓄᑖᦪᢣᦪzCᑖᦪᢣᦪúḄᓄ᪷X.AÒBÓC@(1)fl3(a>0)J(2)25üJ(3h/PJ(4)-^=JDBV34.ᑡ᪷X`ᑖᦪᢣᦪÔ2ᓄRÕḄC()A.-\[x=(-x)2B.h-Ö(x/O)7n(6),(-2)’ম"3m'+)D.=j3(j<0)A.3B.-3C.-1D.1hஹ"#⚪13.<ᑡᔜX{Ḅ஺Àÿ0
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31§3.22
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2ஹ⌱µ⚪131⊈ஹÂ10ᓄ()dÃÄᙳjᦪ
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33§3.3ᢣᦪᦪAÓk=C0C(2)/(-6)+/(-5)+……+/(0)+/(1)+……+/(6)+/(7)Ḅ஺A.(-1,1)B.(-l,+oo)C.(-OO,-2)U(0,-H>O)D.(ØT)“L-H4ஹëì=23A+,,y=2-2X,íRxÑ;Åᨵ2(1)%=%ZফH>⌱⚪8ஹ21+227=35ஹEcᑡᐵxḄïᡈÇï:9ஹ!22ஹ+஺-2'+1=0ᨵ$ᦪ&ᑣ஺Ḅ(*+,(I)2X-1=256Zফ(Ip>2-A.a22ᡈaW2B.a>2ᡈa<2C.ci<-2D.a=210ஹ7ᦪ&82'2"2Ḅᓫ;<=>?2X-2"6ஹåe/(x)=57W

34§32—3.3ᢣᦪ,ᦪḄghឋkᫀ:᝞বr-τ,4,1.2'4,,L2%@ஹA@A2ᑖCDEF᪗HIᢣᦪ7ᦪḄKL>ឋN஺,5Y&Y;(6)0.7°,,O.70458ஹO@O18ᑖC4ஹ᪷]^ᑡ`ᡂbḄcde&fgm,nḄᜧk஺1.PEQR(1)2m>2nl(2)0.5m>0,5nl(3)am>an(a>\)+(4)a'n>a"(0ḄKL,ᙠ@ᙶ᪗^஺5,cde4'32ᡂbḄxḄᔠ.বᑭᵨᑡ⊤ஹஹy=3,>ḄKL,ᙠ@ᙶ᪗^.2ஹᢣᦪ7ᦪ=஺'10,஺#1/©/?,ᙠal0஺1^ḄKL>ឋN᝞^⊤:®ஹ¯@¯10ᑖC0<஺<1°ஹ±@±5ᑖC1ஹᢣᦪ7ᦪ=1,“0³a*IḄKLµ,-1,2,/®,/,1,/,-3Ḅ஺KL2,7ᦪ'=&¥-9Ḅno?஺,1no?:·ஹ¸@¸5ᑖC,2?:ឋব.ᓽ&X=¥N,4¡¢0£&&(4)¡x>0£,¹ᢣᦪ7ᦪº=/,஺0,஺»1“£/?½¾&¡a1£KL+¿᪵ḄÁÂ.ÃÄឋNÁx0£&஺x<0£,¡0஺1£KL+¿᪵ḄÁᨵÃÄឋNÁᔠᢣᦪ7ᦪy=2'>y=,g,ÆǸÈ஺,5+R¢Ḅ.,5+R¢Ḅ.@qᙢ&¡7ᦪy=a&,aO.a*l,xeR©7ᦪ=,■5•',ᓽ7ᦪ.▬Æ⚪ḄxyzḄ(a1ஹÊ7ᦪ/,»=Ḅno?ÌR&ᑣaḄ(*Ì-..£&ᐸ7ᦪ+«dḄ&¬7ᦪḄKL.3ஹᑭᵨᢣᦪ7ᦪឋN&fg^ᑡᔜ⚪vᦪḄᜧk஺2ஹÍÎÏᐸv¡xÌУᨵ(1)23,24lপM=%l(2)%>y2o

35§3.2—3.3ᢣᦪ7ᦪḄKL>ឋN,k±E®ஹÜ⚪@ஹ⌱⚪1ஹ!»>&>1,\>a>0,ᑨẆ^☢àḄáâ1>!7ᦪ/,»=4+஺1ḄKLឤµP,ᑣPḄᙶ᪗+,.£A.1,5B.1,4C.0,4D.4,01x-u,_!_,ᑣaஹ6Ḅᜧkᐵe,.A.}>a>b>0B.ab1.1>/>>a>03ஹ7ᦪy=&ᙠ0,1¢Ḅᨬᜧ©ᨬkḄ>Ì3,ᑣad×,.A.—B.2C.4D.@2ஹÍ%=a-2”,ᐸva>0,awl.¡xÌУᨵ244ஹ^ᑡ7ᦪKLv&7ᦪ&=ØÙ>0³awl©7ᦪy=l—axḄKLÚÛ+,1M=%X2%>y2.3ஹ7ᦪ&8@l■!—Ḅno?.5H-5ஹ7ᦪ/,᜜=2.-1,/xW0ᡂbḄxḄḄᔠ+,A.{æ<0}B.{æ<1}C.{æ=0}D.=1}8ஹçè⚪6ஹ7ᦪy=,32-2»Ḅno?+.4ஹ7ᦪ/,î=Øa>0M/1ᙠ<=1,2¢ᨬᜧfᨬkᜧaḄ.7ஹᢣᦪ7ᦪ/,»=éḄKL`µQ,1,ᑣêᦪaḄ+168ஹ!/,5"T=X-2,ᑣ/125ḄÌ.9ஹy=2-஺*ᙠno?ᑁ+í7ᦪ&ᑣaḄ(*+.10ஹ!X>0,7ᦪy=a-3'Ḅឤᜧ×1,ᑣ$ᦪ஺Ḅ(*+.

36(i)log64=5ফ{381=4(3)logj32=-5(4)lg0.1=-l2§3.4ᦪ(ᫀ)(1)(2)(3)(4)4ஹ|ᑡᔜJḄ~(᯿P79>3)@ஹA@A(1ᑖC)(1)log81(2)log,8(3)25(4)Igl»32DEF᪗ᳮ¹ᦪḄᭆñ&Ûòó±ᙢôõ¹ᦪe>ᢣᦪeḄöᓄ&øùúûᓫḄ¹ᦪ஺ஹ(10ᑖ)8ஹO@O(10ᑖC)ஹ(5ᑖ)1ஹ!üQRᙠý`DµḄ!üv&º=8ÛᔲX?2,=8ÛᔲX?2*=9ᕖ1ஹ|ᑡ.J;ḄXḄ~▅ᩞᧇp78-p79,ᡂᑡ⌕஺(3)5,og5X=122ஹ⌕(1)log,256=16(2)1gx=0.5(1)ᙢ"᝞$a(a>O,aHl)Ḅb,-./N,ᓽ,23ᦪb56_____,89-ᐸ;஻56,N56஺ஹ88(5ᑖ)>᝞"?2,=9,ᑣlog?9=x஺2,=9FGᢣᦪḄIJ⊤LMᩭḄ"ᡃPQRS᪵ḄJU59Vᦪ1ஹVᦪᢣᦪᢣᦪJF⍝]ᦪᢣᦪ|"VᦪJF⍝]ᦪ(ᦪ)|ᢣᦪ"JᓄFὶPḄ᫑᫡஺J"log?9=xFGVᦪḄIJWMᩭḄ"ᡃPQS᪵ḄJU59VᦪJ஺2ஹὃᵯ*=";"ᦪN¢ᔲ\0ᡈ¥ᦪ\¦3(2)XYZG10\]ḄVᦪ59,NḄYᵨVᦪlog_`89஺>᝞"logm5`89,1ogw8.5`89oVᦪ(_)1ஹ|ᑡVᦪḄ~(3)eFgh⌕ḄYᦪ"Fiᳮᦪ"klᢈn;Ge\]ḄVᦪo\pᯠVᦪ஺NḄpᯠVᦪlog«ஹN(1)1g1000(2)log—(3)log(25x53)(4)log1950481`89,>᝞"log,,5`89,10g“9.5`89஺(4)ᢣᦪJ=N0,4/1)ᑏᡂVᦪJ\,(5)log,56.25(6)log7343(7)IgO.Ol(8)log1717.VᦪJlog,N=b(a>0,aw1)ᑏᡂᢣᦪJ\஺(9)log27(10)log5(11)log.,1(12)log(log(81))32523(5)10g1=,loga=,alogaA'=஺aa3ஹZᑡᢣᦪJᑏᡂVᦪIJ2ஹ|ᑡᔜJ;Ḅx.2(1)10gl27=g(2)log2x=——2বlog,(3+2ম=-2(1)5=125(2)2~s=—(3)27(4)4b=11஺332মx=log1(1)(2)(3)(4)(4)log5(log2x)=03(6)x=log116.4ஹZᑡVᦪJᑏᡂᢣᦪJ஺

37§3.4(1)ᦪḄឋk(ᫀ)7ஹᑡå®Fᔲí²1)1g[(-2)x(-5)]=lg(-2)+lg(-5)2)In(-5>=21n(-5)3)log(MN)=log0M±log“Nfjஹ(1ᑖ)ஹ(10ᑖ)ᳮª«¬Vᦪ®Ḅឋ°"±²ᵨVᦪ®ឋ°³´®"«¬Vᦪᓄ`|~Ḅᢈµ,ஹ¶ᔊVᦪ®ឋ°Ḅ¸¹º»¼½"¾¿lÀÁÂ"ᑖ᪆"ÄÅḄ¢Æ஺1ஹᵨlog“A:,log“y,logz⊤LᑡᔜJdÇஹÈÈ(15ᑖ)বbg”()஺1ஹÉÊপlog”(ö2z)(2)log(ߟ)uryzyz<1)Ìᑮ1087=1)SgJUÎᨵÐὶÑ(1)aஹNÒÓÔÕ¦3ᩩ×ᢣᦪJ\-512ஹ|ᑡᔜ~(2)ᢣᦪḄᵯḄឋ°am-an=,(am)n=(1)log3(27x92)(2)log2(log93(3)Ig8+lgl25(4)21og,6-log432ஹᡂP80,⊤3—7,ÙÑVᦪ®Ḅឋ°/•=3ஹᡂP83Ç(1)(2)ஹ88(3ᑖ)(3)ᙠÜḄÙÑÝÞ;"]ᦪa,GßᦪḄà~âᨵÐ⌕|1ஹVᦪḄ®ឋ°ḄᳮªæçFX¼®ឋ°ᩭûüḄ஺(1)a,(2)M,N.2ஹVᦪJýGᓄ"ᙠ6Vᦪ⚪ÿ
ὃ⇋ᦪᓄᢣᦪᦪḄ஺3ஹÝᔠÜḄÙÑ"å®ᑡᔜJ3ஹᵨᦪឋ
◤⌕(1)log(4x16)=(2)log,4+log,16=(3)lg(103+10)=(4)1g103-1g10=§3.4(1)ᦪḄឋ('())21ஹ*+xḄᦪ
-X:(5)log25=(6)51og2=22(1)Igx=Iga+Igb6(2)lgx=lgm-lgn6(3)lgx=21gez-31g/?6(4)lg(lOx)+1=31gx4ஹឋ°(1)log,MN)=]og"M+logNḄæç᝞:2ABপ2log,2-log,y+log86(2)I52+|lg8(3)(lg5)2-(lg2)2+21g23géÜ᪷ëឋ°(1)ºMVᦪ®ឋ°(2)(3):,3x_ij-3x3ஹKx=log23,-
—ḄM;2—2x6ஹAPᑡᔜS1▬W⚪BᓄYBlgh/3+j5+(Dlog/92x35)(2)IglOO5(3)Ine-2(4)log36-log435

38§3.4\2]ᣚ_`S\aᫀ]]ஹAB,10஺¥-10©9+[og/J3+¬-/3-¬)logs-logV4#ஹx#x3ᑖz37a)c᪗Befᣚ_`SḄgh
ijᣚ_`SḄklmnBᳮjᣚ_`SḄp▭h
r(ᵨᦪḄឋ஺sஹtut12ᑖw]221ஹK3ஹ=4ஹ=36,-°+uḄM஺xy1ஹ+xyzB{|}ᦪᦪḄឋ}{|2ஹ▅ᩞᧇP83-P85ᡂ
ᦪᣚ_`S6klKx=log,,N,᪷ᦪgh
ᨵ6᪷ḄᦪḄ_ᦪ
஺_Ḅᦪ
63ஹ\1]Alog?+±\2-JJ]k]g“bx=,ᡠ6ᵫbwl,ᑣ,jx,O,x=ᡠ஺᧕ᵫᣚ_`SᑮB—!—=___________________o(2)*+log9=8fr=5,-Iog3645(ᵨa´b⊤¶)ᵯ஻183ஹABপlog,1286\2]log256•log,36\3]log,-log1-log923ᓄY·u+—!—+—!—=(3)log7log7log75324^*+log|x9=a,18"=5,tᵨ4ஹb⊤¶log365஺ºஹ»u»10ᑖw]\4]log,3-log,4-log5..log2012-logm=4,-mḄM420112012¼ஹ(u(10ᑖw]¾ஹ¿u¿\5ᑖw]ᣚ_`S}À᪵Ḅ᝞Ãklr(ᵨᣚ_`S
ÄᔠᦪឋjÆp▭Ç⚪஺

39§3.4(2)ᣚ_`S('())3ஹ-MBuஹ⌱É⚪(1)log2251og341og59B(2)(log43+logs3Xlog32+log92).1ஹPᑡᔜSÊ
┯ÌḄ}(M>0,N>0)().A.(MN)=log4M+log”NB.log.(MN)=logaMJogaNC.=log.Mulog.ND.logNn=/?logNow2ஹÒlog(i)(x-l)=l,ᑣxḄMÕ}().A.XH1B.X>1C.XW2D.X>1Û"24ஹklBlogb-log,,c-log.a=\.(a>0,b>0,c>0,4?1,Z?l,c1)<(43ஹ*+lg2=a,lg3=b,ᑣÙ2().Igl52a+ba+2b2a+ba+2bA.-------B.-------C.-------\+a-b1+a-b\-a+b]-a+b4ஹÒa>0,awl,ᑣPᑡnÊÚḄ}().জÒM=N,ᑣlog“M=log“NBঝlogaM=log஻N,ᑣM=NBঞloga=log.N?,ᑣ஻=♦6টÒM=N,ᑣlog“M?=log”.A.জঞB.ঝটC.ঝD.জ(Dঞ©5ஹ*+log/%2+4)+log(y2+1)=log5+log(2xy-1)(a>0,1),-log8íḄM.sஹjä⚪rtadxL*+{ᜩèlgxy}={0
W
y},-x,yḄM.2ஹjmîBk)g2Cr-l)=2-log2(x+l).

40§3.5ᦪ,ᦪḄᭆ/ᫀ(4)y=3f6(5)j=1.3'6#ஹx#x3ᑖza)c᪗BᳮjᦪïᦪḄgh
ijᦪïᦪ´ᢣᦪïᦪḄᐵñ6ijᦪïᦪy=log.tḄÙò´ឋ஺2|ஹ}#}10ᑖzeஹ{#{17ᑖz~ஹ#5ᑖz1ஹ+xyzB{|}ᦪ_ᦪᨵ{|⌕-óᦪᨵ{|⌕-ᦪḄឋBE#'=bglXḄGHIḄឋᙠJKᙶ᪗NE#y=log?xḄᐸPJ஺ᣚ_`SB2ஹ▅ᩞᧇP89-P90ᡂPᑡB\1]ᡃõöïᦪ÷øᦪïᦪ
஺÷øᦪïᦪḄoᱯúḄ
ᡃõûᦪïᦪy=Igxüᵨᦪïᦪ஺2ᢣᦪïᦪy=ax´ᦪïᦪy=Iog„xa>0,a*1ý஺3ᙠᢣᦪïᦪÊ
ghÿ,ᙠᦪᦪ,஺3ஹ▅ᦟᩞP91-P92,:ᦪy=kg2XḄឋ!"#$%&,ᦪ'ᙠ,⊤)*+x>1,-.x/01ᓽ,+02.ஹ#5ᑖzᦪᦪḄUVWXᢣᦪᦪᨵZὶNWᦪᦪḄUVW\K]ᢣᦪᦪᡈᦪᦪ⌕_`aᐸTᦪ஺*by=log2XḄcឋde•g*bᦪᦪc5ஹᑏ#3ᑡᦪᦪᡈᢣᦪᦪḄTᦪឋᡭijẠ஺<1y=logx42y=log-x3y=log!x5z

41§3.5ᦪᦪ(mno)1ஹ53ᑡᦪḄ:(4)y=2logx(x>0)(5)y=log“(2x)(஺>0q஻Wl,x>0).4(1)}7=log(3-x)ফ,'=st23x2(3)y=+lg(3x+l)(4)y4ஹuvᦪf(%)=logax2+(«-!)%+-wdR5xᦪaḄy{.Vl-x2ஹ|}3ᑡᔜ⚪]ᦪḄᜧm:5ஹ᝞/()=᝶5/(a)+/(Z,)=/|a+bপlogos2.71%28<2)log?4,log65\+ab(3)log”8log4e(4)log,3,log4.36ஹuvlog,”7.29>log”7.29,5஻ḄᐵN.3ஹ53ᑡᦪḄTᦪ(1)y=4v(XGR)(2)y=0.25A(xe/?)(3)y=Igx(X>0)

42§3.6ᦪ,ᦪḄghឋkᫀ—>K3ᑖo᪗ᦪᦪḄjᳮbᦪᦪḄឋ஺ஹK15ᑖ1ஹvUVᦪᦪWᦪᦪḄTᦪUVWy=log?xḄXឋUVW2ஹ▅ᦟᩞP93-P95,᪷¥ᦪ=log.x4a>0,஺/1Ḅcឋ¨ᡂ3☢⊤«:0l,44+,,0஺<1,,0logu5o4540ஹ20Ḅ.4544,+80Ḅ.ਮ⊡ᐙឋজÀᦪÁd᎔ᦪḄ]ᦪᦪḄᐵ.X/Ä:ঝÀᦪ,ÀᦪÆᜧᐸÆÇÈX/Àᦪ0<஺<1,ÀᦪÆmᐸÆÇÈX/஺4ஹ|}3ᑡᔜ⚪]ᦪḄᜧm3ஹᑨË3ᑡᦪḄ᜻Ꮤឋ(1)/(.¥)=1g-~~-(2)f(x)=ln(V1+x2-x)(1)log,3.2,log,ᐔফlogo25,log஺271+xÕஹÖKÖ45ᑖᦪᦪḄ×᪵ḄWÀᦪ,ᨵÙÚឋWÀᦪ00,qaH1)஺ᨵÙÚW⌕5ÛnḄᦪᦪḄឋ_`ᑭᵨឋbÞx▭à⚪஺

433.6ᦪᦪḄឋ(mno)K⌱â⚪1ஹuv02u2ஹᦪf(xälog?x,g(x)=log|XḄᐵ.()5ஹ(1)w@=í21=⁐3,=ᵯ9;|}a,b,cḄᜧm3Ax/ÄBy/ÄCå&ÄDæçy=xÄ3ஹ᝞ᦪ)=/(x)èaḄTᦪ/(2)=1,ᑣéä()(2)f(x)=lg(10+l)+axᏔᦪ5aḄ(A)logxR°og;ê/24ஹ+,ᙠJKᙶ᪗Nᦪy=logaXḄë(6ஹᑨËᦪ/()=lg(J1+f-x)Ḅ᜻Ꮤឋ.5ஹᦪy=2+bg2x(ᑐôI)Ḅd().A.(2,-t-)B.(—,2)C.[2,+oo)D.[3,+-)6ஹµ¶·Ḅlog,bõ().A-B.(0,2)C.(1,+oo)D.(0,1)ஹ⚪1ஹ᝞öä÷fUJḄ------------9(ûὃ⚪)ᦪ/*)=log.C?-aY)ᙠ[2,3]ýᦪ5þÿ
2ஹᦪ)ø2(/+21+3)Ḅ3ஹᦪf(x)=ù>1Ḅ___________log(x-l)24ஹᦪf(x)=log஺ভ-1)(஺>0,a*1)(1)f(x)Ḅ(2)f(x)Ḅᓫឋ(3)a,ᙠy!Ḅ"#$

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