高中人教B版数学必修一全册导学案【全册】

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26ᑖᔣ᜜ூ89:௃<▲>30ᑖ@A1ஹ/0A={xlx<-2ᡈx>5},8={xkzWxW8+a},AUB=RT2஺ḄC5E஺2ஹ/0A={xl-24},B={xl°WXWTAUB={xlx>-2},4nB={xl0Wx<1},2஻ஹbḄ5஺3ஹ/0A=Mx2-ax+15=O,xez},8=[-5x+b=0”z},AUB={2,3,5}2aஹbḄ5஺

274,A={yly=x2—2x,xeR},B=(yIy=ax2,xeRAflBஹAU85ஹ4=61P=/Q2R,S6/?}8={yIy=or'xe/?},Ans={xl-1TxUo}஺ḄXY[஺1ஹ3ஹ3ᐰ];⊡]_Q`ᑖbc⚜eூ⚜e௃▅gᦟᩞ_⚓klmnᑡp⚪1>ᐰ](universalset)Ḅᭆs2ஹ⊡]Ḅᭆs:জuᯠwx

28ঝz{wxঞ}~wxᑖᚪூe௃]ஹ]Ḅজuᯠwxঝz{wxঞ}~wxᢣTQ⁚ᡃẆ=]ᔠḄQ஺ூ<௃Qᐰ]Ḅᭆs▅gnᑡQᩞᧇ•ᙠẆ=]ᔠḄᐵᡃᡠẆ=Ḅ]ᔠ¡¡¢£Qᱯ]ᔠḄ¥]T¦ᱯḄ]ᔠ§¨ᐰ]©ªU.᝞1ஹẆ=A={xlx21},8={xlTீx<3}]ᔠAஹB®¢RḄ¥],R¯¢ᐰ]஺2ஹᙠẆ=জA={xIx=eZ},B={x\x=2n-\,n&Z}ঝA={஻Ix=3n,஻ez},B={x\x=3n+\,neZ},C={xlx=3஻+2,஻eZ}]ᔠAஹBஹC®¢ZḄ¥]Z¯§¨ᐰ]஺3ஹᙠẆ=°ᦪ]A;ᔠᦪ]B-°ᦪ]ᔠA;ᔠᦪ]ᔠB®¢U={஻eZI஻22}Ḅ¥]U¯¢ᐰ]஺4ஹᙠẆ=ᨵᳮᦪ]Qᔠ´ᳮᦪ]ᨵᳮᦪ]Q´ᳮᦪ]®¢µᦪ]RḄ¥]U=R¯¢ᐰ]஺5ஹᙠẆ=A={xlx¢¶·¸~},8={xlx¢¹¸·¸~}]ᔠAஹB®¢U={xlx¢·¸~}Ḅ¥]U¯¢ᐰ]஺

29º⊡]Ḅᢣᨵᐰ]»¼½¾᝞U={1,2,3,4,5},A={1,2,3}p⚪]ᔠ{4,5};UஹAᨵ¿ᐵ
{4,5}¢ᵫᐰ]UÁᡠᨵÂÃÄAḄᐗÆÇᡂḄ]ᔠ©ªA={4,5},C.A§¨AᙠUÁḄ⊡]஺CuA={x\xeUÉxeA)>---------------------------------1ᙠÊ☢̦¥Á]ᔠAஹBḄ⊡]஺ᢣᡃ»¼½ᵨVenn}⊤Ï⊡]ÐᯠC(CA)=A,=CuU=@UU(C°A)nA=஺(C")UA=Uூ⚪ᒈ᪆௃1ஹU=R,A={xl-3WX<4},8=Ó1SÔ2ᡈÕ>5}Ö(Afl6),C\(AU8)(”)U(i),(×)0(")ØÙ1Ḅ⌮ᔣ/ÜU=R,A={%I-3W%W4},8={xlxWᡈx>a+3}

30C(A\JB)={xl4

313ஹu=ÓIX¢ÂᜧÄ30Ḅ°ᦪ}A={2,5,13,17,23},B={2,11,17,19,29}An(S),(CuA)nB,(øA)n(CuB)_º`ᑖbcᚪ]ᔠḄ⌮ᔣ/Ü;ᵨò឵}ô⚪ூ<௃]ᔠḄ⌮ᔣ/Ü;ᵨò឵}ô⚪ூ⚪ᒈ᪆௃1ஹA=Ó2,4+1,-3},B=\a-3,2a-a2+1},AHB={-3)஺ḄY஺2^U={-3,0,1,2),A={aûa+1,-3},CA={2},aḄY஺03ஹU=ÓIx¢ÂᜧÄ30Ḅ°ᦪ),AஹB¢UḄ¥]஺AA(QB)={5,13,23},(CuA)nB={11,19,29}gA)n(c0B)={3,7}

32AஹB.4ஹ⌱þ⚪(1).ᐰ]U,MஹN¢UḄ¥]ÿC°M?N,!Iᨵ()(A)MqCuN(B)MuCjN(C)C,M=C,N(D)M=NLb(2).᝞Ḅ▢ᑖ⊤Ḅᔠ()(A)An(C®n(CyC)(B)AU©B)n(CyC)(C)CMu(BDC)(D)(Q,A)n(BUC)⚪1ஹᔠAஹBஹACBḄᐗᦪᑖC*d(A)ஹCard(B)ஹCard^B),᪵!Ca4(AU8)ᕖ#$%Card(A\jB)=Card(A)Card(B)-Card(AQB)+o3&3.ᔣ50()*+,-AஹB./0Ḅ᝱23ᨵ᝞4$56ᡂAḄ8ᦪ9ᐰ;Ḅ<3ᐸ>Ḅ?6ᡂ@6ᡂBḄA6ᡂAḄB383ᐸ>Ḅ?6ᡂ஺D᜜3-AஹBF?6ᡂḄ1)*ᦪA-AஹBF6ᡂḄ)*ᦪḄ5B183-AஹBF6ᡂḄ)*GF?6ᡂḄ)

33*ᔜᨵBI8?⚪2ஹK-LᔠAஹBஹC,M᝞NOCard(A\jB\JC)ᕖ#$%Card(AU8UC)=Card(A)+Card(B)+Card(C)-Card(AC\B)-Card(B^\C)-Card(CflA)+C«rJ(AABnC)&4.ᨵaஹbஹCLPQR3SITUᐸVWPḄᨵ1883TU஺Ḅᨵ983TU஺Ḅᨵ883TUc•ḄᨵH83YZTU஺ஹ஺Ḅᨵ583TU8ஹCḄᨵ383TUCஹaḄᨵ483[\ᐰTUḄᨵBI8#&5.]ᡂW⚗_ᙢabcd3ef⃩ḄY)hᡂijWk“amn”3◤⌕248rsab3208rs!3168rsm஺amnḄᡂᕒVuBY)9B☢w3ᨵ88xrsabᨵrsj!3ᨵ68xrsjabMy3zᨵ48xrsjmMrsj!3DᨵW{8L⚗|}Frsj3~amSIᨵBI8#$:

34ᑖᔣ᜜ூ}௃1ஹU={reN*lxlo},AஹB9UḄ3AnB={3},AD(CyB)={1,5),(CA)yn(CgB)={4,6,8},|JA=..B=.2.W(1)ὃᡂ᝞4(1)368ᦪ)ᡂ?80ᑖ(2)208ᱥᳮᡂ?80ᑖ(3)158ᦪ)GᱥᳮᡂF?80ᑖᨵBI8~.ᡂSIᨵW?80ᑖ?3.᪥ᨵ100(ᦟ3ᐸV▅V¢ᦟ£¤Ḅᨵ6783▅ὃ¤Ḅᨵ4583.¥F?Ḅᨵ2183[\YZ▅.¥¤¦ḄᦟᨵBI8#§¨©ªᦪ2ஹ1ªᦪḄᭆ¬2ஹ1ஹ1ᦪᐸ⊤ᑖ⚜ூ⚜®௃ᦟᩞ§29
43⚓3j±1,ªᦪḄ²³2ஹªᦪḄ⊤´஺ᑖᚪ2ஹ1ஹ1ᦪᐸ⊤

35ூµ®௃1ஹ¶VªᦪḄ²³2ஹᙠ¶Vᡃh)®j¹{ᐹ;ªᦪ#ᢣ¼½ᙠ3ᡃh)®jᔠḄᭆ¬3ᡃh¾¿.ᔠÀḄᐵÂḄÃ2ᩭẆƪᦪÇᐸ⊤´஺ூÈÉQ௃ªᦪÇᐸ⊤´&1ஹWÊËÌÍÎ3ÏU26sÐᑮᙢ☢ÒVÓ᪗3ËÌḄÎ845m஺ËÌÕᙢ☢Ḅ2hÖᓫØmÙZÀtÖᓫØsÚᓄḄÜÝ9/?=130/-5/20ËÌÞßZÀtḄÚᓄá9ᦪ4={flOW3ீ26}஺ËÌÕᙢ☢Ḅ2hḄÚᓄá9ᦪ8={//10WW845}஺&2ஹ᝞Ḅãäåjᓭ᩽èéêëìḄ☢í¿1979~2001îḄÚᓄïð஺ZÀtḄÚᓄá9ᦪA={f119794tW2001}oéêëìḄ☢íSḄÚᓄá9ᦪB={SIOWSñ26}஺is*4is?I*IWIτᑜ|siw?umm&3ஹ4⊤9“1991î0200ô”õö÷ᩭᡃ¢ø╋úû឵ýþ§ᦪÚᓄïð:ZÀÖîÿ1991199219931994199519961997"1998199920002001╋឵53.852.950.149.949.948.646.444.541.939.237.9ᦪᱥ឵ᦪ=A={1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001)B={53.8,52.9,50.1,49.9,49.9,48.6,46.4,44.5,41.9,39.2,37.9)⚪1ஹ2ஹ3ᨵᐳḄᱯ!"#$

36&ᦪḄ'(:!"#*&ᦪḄ⊤,-:./1ஹ1ᑡ34ᐵ6ᔲ6&ᦪ?91:y=-2x+3,y=~,y=-2x2+3x+5JC4BZ92:y=-2x+39-1

372^/(x)=2x+l(xwR)1g(x)=2x+1(0

382(1)y=2x+39y=—3x+292:y*$^yXy-2x2+3x,y--x2+2x+3,y=2x2-4x+3,y=-x~+2x+12ஹᙠ1m▲ᑴXḄy^.d&ᦪḄbr஺3ஹez3{ὶ(1)y=2lxl+3,y=l2x+3l(2)y=2x+31x1,y=12x+3xI4ஹ“ᓽ”ᐳḄἠᢥ1ᑡᑣᑴ'91:5ᑁ95:^ἠ2ᐗ஺92:5^5^ἠ1ᐗ95Ḅᢥ5:᝞ᩩḄ¡¢20^¤᪷¦⚪§^ᑏἠR¡©ªḄ&ᦪ`᪆¬^d®&ᦪḄbr஺>0/+1X.᝞:91:F4x50x=0<2)G(x)0-1x<0x-1XeQᢣ6ᡠᨵḄ&ᦪ±²dbc,᝞஺X³஺´²ᵨbc⊤,஺STU........----ᑖ-ᔣ᜜-........-.......ூ¶·¸¹௃1ஹde*f&ᦪQᐵ&ᦪbr(1)y=x2-2x-3y=x2-2x-3(—2WX<4»X£Z)9y=x—21x1-3,y=\x-2x-3\(2)y=-2x+4x,y=-2x2+4x(—1y--2x+41x1,y=1-2x2+4xI

392ஹdᑖj&ᦪḄbrX+1x>1“5/ஹ1—1(X2-4-l

40f:êÎëf:Îë*ஹɪḄᭆˤᙠ1ᑡìíᜐïᑏðᔠḄɪ⊤,஺(£){x\aa}ড{xIx2a}_________ঢ{xIx03ஹø!/(x)=<0%=°,Ø/(/஺)$1),/(/(-2)+3)-x2+1%<0

412x+lx>\.4ஹ/0")=/(x+1)x<|^2஻2).5ஹ/0஻x)=9x+l,g()=X2,f(g(x))=g(f(x)-2),2xx(2xx-1./0τ(1)V/(x஺)=4,2(2)V/(Xo)24,2ḄC5E஺!":ᑖᔣ᜜ூ89:௃1ஹ/0/(X)=2%+11,g(x)=”_2,2f(2+g())^g(/(x)-l)

422>0—x>0--j.f(x)=\xXg(x)=1X2ஹ/0[-x%<02X<0(1)Xwo>T2/(g(x))(2)x>0>T2g(7(x)+l)2x>4ᔆ+X3ஹ/0/(%)=<82/(-2)x<4/(x+2)2ஹ1ஹ42ᦪ¡᪆£ᑖdூ௃2-3x1ஹ/0/(¤=¥7,2஻-1),/(3x-l)02ஹ/0/(%)=/-2,2/(X+TX3ஹ/0/(x)=2x-l,2/(7(x))஺

43ᑖᚪூ௃ᦪ!᪆#$⚪&ᙠூ௃1()*+/(38-1),,-y=/(x)ᔩ/5—9ᐗ11ஹ+/(3x-l)=&—-,y=/(x)12x-311912ஹ+/(x+—)=x~+w,y=/(x)xx174᝞&+-1)=F)/(X)஺X13ஹ+/(x)789ᦪ):3"(x)]=4x-3,3=/(x)4᝞&+/(;7<9ᦪ)fi/(x)+2/(-x)=3x2-x,))=/(X)14ஹ+=8ᑗxeR,/(x)+2/(-x)=3x2-x,y=/(x)

444᝞&+2஻X)+3஻I)=4X,y=/(x)BCDE:ூGᚪIJ௃3—4T1ஹ+/(r)=x+5,/(5)x-22ஹ+/(x+f=xஹg,y=/(x)3ஹ+/(x)7<9ᦪ):/(x+l)+/(x-l)=2x2—4x,y=/(x)4ஹ+=8ᑗxwR,f(x-2)+3f(2-x)=x,y=/(x)

45ᑖᔣ᜜ூ89:௃“3x+4ஹᔆ1ஹ/0/([?)=x+5,2y=/(x)LX—11ஹ212ஹ/0T(X'--)=x+—2y=/(x)XX3ஹ/0/*)H©ᦪTX/"(x)]=x+l,2y=/(x)4ஹ/0ªᑗX€/?,f(x)+2f(l-x)=x2+x,2y=/(x)2ஹ1ஹ52ᦪ¬ᑖdூd௃1ஹ®sᦪḄ¬2ஹ¯sᦪḄ¬஺ᑖᚪூ0௃,⚪Iᙠ°qᦪ>Tᨵ>±²ᢣ³ᦪḄ¬W´ᨵḄ>᎛T°qᦪ¡᪆£T¶

46OPᑏᦪḄSTU)VWᦪḄSTUᢣḄYZ[ᕖ/11ஹ]ᑡᦪḄSTU(1)y=-——-(2)y=yl-2x2+X+]3x-i(3)y=-------5++x+l(4)y=+x+l+/3x-]J3/+14X—5BCDE:ᢣ_&=`a▭$⚪)ᦪḄSTUᵫa▭defS஺1᝞&ghij├l8mno50p)qp2,50ᐗ)ᵫjr├lst&*qpuvwx1ᐗ)ᑣqᜩ{|ᓬ10p)~ᑏ_j├luvḄᦪᐵ#஺11(2)7ᑖ$⚪12ஹ]ᑡᦪḄSTU(1)y=-J-2x2+x+a(2)y=yjax2+x+lᡃ11(2)Ḅ⌮ᔣC13ஹ+ᦪy=y/ax2+x+\ḄSTU7R,஺Ḅ

4714ஹ+ᦪ/=JaFTxTZḄSTU78஺ஹbḄ.ᔠᦪḄSTU15(1)+ᦪy=/(x)ḄSTU7-1,3,y=/(3x-2)ḄSTU(2)+ᦪy=/(3x-2)ḄSTU7&,)y=/(x)ḄSTU(3)+ᦪy=/(3x—2)ḄSTU7¡,¢)y=/(3—4x)ḄSTUBCDE:ᑖᔣ᜜ூG£¤¥௃1ஹ]ᑡᦪḄSTU(2)y=——------x2-2x-3

482ஹ2ᦪy=7=1=Ḅ¬\ax2-2x3ஹ/0ᦪy=7,1Ḅ¬H{xlx<-1ᡈxு3},2.ஹbḄ5஺yjax~+Z?x-3/0/(x)=7^τ,4ஹ¬HR,2mḄC5E7mx84mx+6~+15ஹ/0/(%)=—------Ḅ¬HR,2mḄC5Emx-4mx+16ஹ/0ᦪy=/(4-1)Ḅ¬H[-1,3],2y=g-1)Ḅ¬2ஹ1ஹ6¦ᔠ§¨©¦ᔠªᐵḄ⌮ᔣC<9ᦪ«8¬ᑖ®ூd௃ᙠ
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ᔠRQ⊡Ḅ⌮ᔣc,⚪I1,/0A={xlx?-3x+2V஺},B={xIx2-(d7+l)x+a<0},(1)AuB(2)B^A(3)Af]Bᨵuᐗ½ᑖ2aḄC5E஺

492,/0A={xLxWa^Kx25-a},B={xlx<>5),(l)AnB={xlxW-3a25-a},(2)A(j6={xlxWaᡈ25},ᑖ2஺ḄC5E஺3ஹ/0u=R,A={xl-3fl+3},Cu(AUB)={xl4(

502ஹÅ3ḄÆ8mÇ#&+A={xlx2-12x-120},C(j(AUB)=(xIx2-(a+7)x+4a+12<஺},:aுl஺Ḅ஺$⚪&*<9Ë⚗#P-ᑖ!)V$⚪4᝞Í!Îᕖ/ூ௃PÏ#(<9Ë⚗#P-ᑖ!11ஹ+A={xlÐ?-3x+2«஺},6={xlY-ax+lw஺},(1)AuB(2)B^A(3)ADBÓᨵ8ÕᐗÖᑖ×஻Ḅ஺12ஹ+A={xlx2+ax+/?<஺},JB={XIX2-2A:-15>O}(1)AO5=^,(2)A\JB=R,ᑖ×aஹbØÙḄᩩÛ஺13ஹ+A={xL?—x—i2W0},B={xlx2+ax+l>0}Q.(AUB)=^,஺Ḅ஺

51BCDE:ᑖᔣ᜜ூG£¤¥௃1ஹ+¦ᔠIA={X£-2X—840},B={X1/+Ý+/-12WO},B^A,aᦪ4Ḅ஺2ஹ+A={11/-2x-3Þ0},B={11/+px+q2()},AAB={xlx2-x-2^0)pஹgØÙḄᩩÛ஺3ஹ+A={xI2x?+7x-15V஺},B={%Ix?+ax+bÞ0},:ADB=6,AUB={xI-5vx<2},aஹ6Ḅ஺2ஹ2ᦪḄឋK2ஹ2ஹ1ᦪḄᓫÄឋᑖ⚜ூ⚜௃ᦟᩞ«44046⚓)ã!&(1)äᦪ©åᦪḄST&জçÇ.èéঝëìèé(2)ᓫîឋ©ᓫîðªḄSTᑖᚪூñé௃

52òV8⁚ôõᡃẆ÷ᦪḄឋø)ᦪḄឋøù⌕ᢣᓫîឋஹ᜻Ꮤឋ©ᕜþឋ஺ᡃ✌ᐜᩭẆᦪḄᓫឋ஺ூ௃2ஹ2ஹ1ᦪᓫឋḄᦪ/X=/!"#$ᙠ0,+8*+y-XḄ.ᜧ0.ᜧ1ᙠ28,0*+y-xḄ.ᜧ045஺6789:!"#$ᦋ<=>#$+?@ᑮ.ᦪB4ᦪḄoDE2জ.ᦪḄঝ4ᦪḄ:DEIᓫឋBᓫJKḄᑭᵨᓫឋḄ!"#$NOᑨQRᑡᦪḄᓫឋ:জ/(x)=-®f(x)=x2-2xXঞf(x)=x~-21x1®f(x)=\X2-2X\

531ஹᑨQRᑡWXYᔲ[\(1)᝞!Yy=/(x)Ḅ!^_Xi=-4,x=22bᯠx

5442ஹst/(=%+ᙠ(2,+8)*Y.ᦪ஺xX3ஹst=ᙠ(-8,-1)*Y4ᦪ஺X+1X4ஹst/(x)=pᙠ(22)*Y4ᦪ஺2ஹ2ஹ2ᑨÆᦪḄᓫÄឋᑖd(1).ᦪB4ᦪḄজ!"#$ঝ=>#$(2)ឋBᓫJKḄஹᑨQᦪ/(x)=2ᐲḄᓫឋ+ᵨᓫឋḄst஺x-1?⚪ᩭ+ᨵ5⚪(1)᝞ᦪḄᓫJK஺(2)stᦪᙠᓫJK*Ḅᓫឋ஺⚪ᑨQᦪḄᓫJKᨵXᕖᑖᚪூ௃ᑨQᦪᓫJKḄX

551ஹ!^X(1)2ᦪ)=2X-3,y=-x+11-?wᦪy=±,y=—xxIᦪy=-x2+2x,y=2x2-x-\(2)ὶ-1y=21xI—3,y=12ᐝ231,y=-1y=1—I,y--x29+21x1,y=1-x29+2xIx2ஹᐜὃ⇋ᦪḄ+\⌕ẆḄJK

56i3-2x(1)y=(2)y=x+1x+1(3)y—yjx—2+J9—x(4)y-J2x+1--x(5)y=x+J2x-13ஹᔠᦪḄᓫឋ(1)y—^5—4x—x~(2)y=JlxI—1⌕¢£¤ᑨQᦪᓫឋḄ⌮ᔣx§1ஹy=2/2“X-1ᙠ(-8,')*Y4ᦪ+©ªᦪ஺Ḅ_¬஺42ஹ^=0?--1ᙠ(',+0)*Y.ᦪ+©ªᦪ஺Ḅ_¬஺0

573-2x3ஹy=ᙠ(-00,-1)*Y4ᦪ+©ªᦪ஺Ḅ_¬஺x+a4ஹy=JaY_©+5ᙠf-5,-2i*Y.ᦪ,©ªᦪ஺Ḅ஺4ஹ⌕²³2ᦪḄᓫJK+´ᦪḄ!µ+¶ᵨᓫឋsthXX(1)y=ax+—(a>0,b>0)(2)y=------(k>0)(3)y=------(k>0)xx+k-k᝞ஹ·ᦪு=X+@ᙠ(l,+8)*Y.ᦪ+©ªᦪ஺Ḅ_¬஺Xwxyz:ᑖᔣ᜜ூ{|}~௃1ஹஹ=஺/-4%-1ᙠ(2,+8)*Y.ᦪ+©ªᦪ஺Ḅ_¬஺2ஹy=º»1ᙠ(_2,+00)*Y4ᦪ+©ªᦪ஺Ḅ_¬஺x+2

583ஹy=JaIxI—1ᙠ(L+oo)*Y.ᦪ,©ªᦪ஺Ḅ_¬஺2ஹ2ஹ3ᑭᵨᦪᓫÄឋ2ᦪḄᨬ5ᑖd¾¿ÀÁ:+1)*Y4ᦪ஺1ஹstV=ax+~[a>0,b>0ᙠ0,X2ஹsty=-^±—(%>0)ᙠ(-J1JT)*Y.ᦪ஺x+k2ஹst=^^(%>0)ᙠ(-,஻)*Y4ᦪ஺X-Kᑖᚪூ௃ᑭᵨᦪᓫឋ©ᦪḄᨬ3-4x1ஹ©ᦪy=ɺ(-3

59ᢣ*☢ḄÌÍ⊤Ï"Ð3—4x1ஹ©ᦪy=—^(-34ᑍ4-1)ḄᨬᜧBᨬ5஺2x4-13—4x2ஹ©ᦪy=*Ò(234%«-1)Ḅ஺2x+l3ஹ·/(%)=»Ô+ÕÖÐ/(X)<஺2ᑗ-34Ø4-'1ᡂÚ+©ªᦪ஺Ḅ_¬஺2x+13-4%3ஹ·f(x)=—Û+Üᙠ-3Wx«-ஹ1ÞÕÖÐf(x)

60Y2ஹ2ᦪo=——(-64x<5)Ḅᨬᜧ5fᨬ5஺x+16Y3ஹ/0/(x)=Y^,ÊË£/(x)4”ªᑗ—2

613ஹ2ᑗxe[-l,O],ÕÖÐ^——ç஺ឤᡂÚ+©ªᦪ஺Ḅ_¬஺x+4x-54ஹ·ᦪ/(x)=J2x+1-——,f(x)4aᨵé+©ªᦪQḄ_¬஺x+12ஹ2ஹ4ᦪḄ᜻Ꮤឋᑖ⚜ூ⚜Á௃▅.íᦟᩞð47049⚓+òóôRᑡ⚪1ஹ᜻ᦪஹᏔᦪḄ2ஹ᜻ᦪஹᏔᦪḄ!µᱯEᑖᚪூÁ௃1ஹ.ᦪஹ4ᦪḄ2ஹᓫឋBᓫJKḄᢣ2⁚{ᡃ9ᩭẆᦪḄú2Íឋû஺ூ௃

62⚪1ஹ(1)(2)!µᔜᨵýþᱯE2ஹ(1)(2)ßḄEBÿḄ
Ḅᙶ᪗ᨵᐵ3ஹḄXᦪḄᦪ᜻ᦪஹᏔᦪḄ᜻ᦪஹᏔᦪḄᱯ:!1ஹᑨ#$ᑡᦪḄ᜻Ꮤឋa44(1)/(x)=/_2x(2)/(X)=2X4+—hX(3)y=ax+—(a>O.b>0)(4)y=-r-----(k>0)xx-k'᝞1ஹ)ᦪy=kx+h*w0)+,-᜻ᦪ?2ஹ)ᦪy+/zx+c(஻30)+,-Ꮤᦪ?

63,⚪IᨵÓᦪ/(X),/(X)ÔÕ᜻ᦪÖÕᏔᦪ?"vI1ஹVᦪ/(x)Ô᜻ÖᏔTᑣ/(x)=0.IᑨÆØᑡᦪḄ᜻Ꮤឋ(1)/(x)=x2(x>0)(2)/(x)=x2(-lTæjq¿ᑖ஺wb.2(1)/(x)=x3-2lxl(2)y=ax+-(a>0,b>0)XxX(4…çè஺)

64!3ஹᑨ#$ᑡᦪḄ᜻Ꮤឋ1x>0x(x-l)x>Q(1)f(x)=<0x=0(2)g(x)=-x(x+l)x<0—1x<0GHIJ:ᑖᔣ᜜ூLMNO௃ᑨ#$ᑡᦪḄ᜻ᏔឋX4+x~(1)Q(x)=,'(2)g(x)=lx+ll-lx-llx-1

65X(3)yX2-4x+1x>01XG0(5)h(x)=<0x=0(6)D(x)=,0X^Qx-1x<02ஹ2ஹ5ᦪḄ᜻ᏔឋḄéuêë,⚪ᑖdூWX௃1ஹ᜻ᦪஹᏔᦪḄ2ஹ᜻ᦪஹᏔᦪḄᱯᑖᚪூYZ[௃\⚪1ஹ᝞+ᑨ#ᦪ^ᐹᨵ᜻ᏔឋX+1!᝞(1)y=+L(2)y=Vx+l

662ஹ/0/(x)Õ¬ᙠRÜḄ᜻ᦪT2/(0)஺"v33.1ஹজ/0D(x)=x,/(X)Õ᜻ᦪT2“1+/প)஺x+1ঝ/0=,/(x)Õ᜻ᦪT2/(2)஺Vx2-1,⚪3ஹজí/(x)Õ¬ᙠRÜḄᦪTF(x)=/(x)+f(—x),G(x)=஻x)—/(—)TîïE(x)ஹG(x)Ḅ᜻Ꮤឋ᝞ñòঝ᜻ᦪ᜻ᦪ(ᡈᏔᦪᏔᦪ)ḄfóôᖪḄ᜻Ꮤឋ᝞ñò᜻ᦪᏔᦪḄôᡈᖪᕖò"v4.2ஹ/0/(x)Tx+llæj⊤HuᏔᦪg(x)fu᜻ᦪ/?(%)ḄfT2g(x)fh(x)o

67!3ஹbᦪ/(x)=ax'+᱐3+5+1,/(2)=-1,d/(2)஺GHIJ:ூLᚪgh௃1ஹb/(ᑘ=jk1lm⊤o-pᏔᦪg(x)qp᜻ᦪ/?(x)ḄqQdg(x)qh(x)o2ஹbᦪ/(x)=a/+r5+/(s=0),/(2)=-1,d/(2)஺ᑖᔣ᜜ூLMNO௃1ஹb/(x)=\x+1\-\ax+h\(a>O.h<0)),/(ᐝ)᜻ᦪQu/(2)=2d/(3+/(-3))02ஹv/஺)==wu(x6-yzᦪ)2+b

68(1){a=/?=l,Q}~/(x)^᜻ᦪ஺(2)v/(x)᜻ᦪQd஺ஹ(Ḅ஺3ஹb5(X)=÷(XH±1)lm⊤o-pᏔᦪg(x)qp᜻ᦪ஺)ḄqQdx-1gব+ফ஺4ஹbᦪ/(x)=o?+2+x,/(2)=-1,d/(2)஺2ஹ2ஹ6ᦪḄ᜻Ꮤឋ
\⚪ூ௃1ஹ᜻ᦪஹᏔᦪḄ2ஹ᜻ᦪஹᏔᦪḄᱯ3ஹJ(1)(.2)(3)(4)ᑖLᚪᢣ⁚LᡃᩭẆᦪ᜻ᏔឋḄ⌕\⚪ூYZ[௃ஹpᦪᐵᡈ
!1ஹb᜻ᦪ/(x),{x>0,Q/(x)=x+3,{x<0,Qd“X)஺

69.3ஹ/0ᦪ/(x),/(x+1)ÕᏔᦪTxNl>T/(%)=᮱TxT2/(X)஺.3ஹ/0¬ᙠRÜḄ᜻ᦪ/(x),/(x+3)ÕᏔᦪTxe(0,3)>T/(x)=2x-,xw(-6,-3)>T2y=/(x)஺ஹeuᦪᐵÞÝᡈ±ùªà.I/0/(x)=/-2x,Xᦪg(x)/(x)ḄᐵÞØᑡ±ùᡈݪàTᑖ2qᦪg(x)஺(1)xÛ(2)yÛ(3)ßÝ(4)±ùx=l(5)±ùy=—2

70GHIJ:ᑖᔣ᜜ூLMNO௃1ஹ£¤ᦪ/(X)=x3+1ᐵ$ᑡᡈ
Ḅ
¥Ḅ¦᪆¨-g(x),dg(x)஺(1)x©(2))-©(3)ª(4)x=l(5)y=—22ஹbᏔᦪ/(x),{x<0,Q/(x)=x3+l,{x>0,Qd/(X)஺3ஹbᦪ/(x),/(x+2)᜻ᦪQ{xW2,Q/(x)=x+l,{x>2,Qd/(x)஺4ஹbᏔᦪ/(x),/(x+1)᜻ᦪQ{xw(O,l),Q/(X)=%3,{xe(_2,—l),Qdு=/(x)஺5ஹᙠR±Ḅ᜻ᦪf(x)³´/(x-4)=-/(x),uᙠµ¶·0,2¸±¹ᦪQº»¼/(x)=>())ᙠµ¶·-8,8¸±ᨵ¾p^¿Ḅ᪷X1ஹÁஹஹÂQdX¸+/2+k3+k4஺2ஹ2ஹ7ᓫÄឋf᜻Ꮤឋúᔠ,⚪ூd௃1ஹ¹ᦪஹÃᦪஹᓫÅឋqᓫŵ¶Ḅ2ஹ᜻ᦪஹᏔᦪḄqᱯᑖᚪᢣ⁚LᡃᩭẆᓫÅឋq᜻ᏔឋḄÆᔠ\⚪ூYZ[௃!1.ᐜ᪷ÉᩩËÌᦪḄᜧÎQÏᑭᵨ¦⚪

71(1)⌱Ó⚪:º᜻ᦪ/(x)ᙠµ¶·3,5¸±¹ᦪQuᨬᜧ6,Õ/(x)ᙠµ¶·ߟ5,-3¸±()(A)¹ᦪQᨬ×--6(B)¹ᦪQᨬᜧ--6(C)ÃᦪQᨬ×-6(D)ÃᦪQᨬᜧ-6(2)b-RḄ᜻ᦪ/(x),ᙠ(0,+8)±¹ᦪQu/(1)=0,ᑣ(2x+l)/(x-2)<0Ḅ¦Ü-.\⚪ᙠ!1(1)(2)Qº/(x)ᏔᦪQJ'᝞+!2ஹᐜ᪷ÉᩩËÌᦪḄᜧÎQÏᑭᵨᑨ#ᦪḄᓫÅឋQÏᑭᵨᓫÅឋ}~஺(1)bᦪ/(x)᜻ᦪQ/(x)ᙠ(0,+oo)±¹ᦪQÕ/")ᙠ(-8,0)±¹ᦪÞÃᦪ(2)bᙠR±Ḅ᜻ᦪ/(x)ᙠ@-a,-bA(a>b>0)±ÃᦪQuf(-b)>0,d}y="(x)fᙠᱥ±¹ᦪ஺(3)b᜻ᦪ/(x)ᙠ(0,+8)±ÃᦪQJ@L/(x)<0,Õã(x)=—L—ᙠ(-8,0)/(x)±¹ᦪÞÃᦪäᵨᦪᓫÅឋḄ}~x\⚪ᙠ!1(1)(2)(3)Qº/(x)ᏔᦪQJ'᝞+

72!3ஹᦪᓫÅឋq᜻Ꮤឋå^æ¨(1)bᦪ/(x)ᙠ·-2,2¸±ḄÃᦪQu/(I-஻?)0,d஻Ḅéë஺(3)bᙠ·-2,2¸±ḄᏔᦪ/(x)ᙠ·0,2¸ÃᦪQu/(I-⊈)

73ë஺3ஹbᦪ/(%)ᙠR±Ḅ᜻ᦪQuᙠ(-8,0)±ÃᦪQ/(2஺2+4+1)

74(1)y=2x+2'x(2)y=2ø2T(3)y=1gIxI(4)y=lg(x2+1)2ஹbf(x)=e”Q/(x)l⊤o-p᜻ᦪg(x)qpᏔᦪ(x)ḄqQdg(x)qh{x}oᑖᚪ$☢ᡃÏᩭüýpþÿᩖḄூ௃1ஹᑨᦪḄ᜻Ꮤឋ(1)+2(2)^(x)=log3-—-x(1)h(x)=log^(x+Jx2+1)a2—13+X%⚪'ᑡᦪᐹᨵ᜻Ꮤឋᔩ,2r-32প/(x)=l---(2)g(x)=log஻j(3)/i(x)=logd(Vx+1-x)I1I3'☢7871Ḅ⌮ᔣ;<2ஹ=.'ᑡᦪ?@᜻ᦪAᑖCDEFᦪaḄG஺(1)/(x)=1+—£R)(2)g(x)=log”ax(a>0)2-1x+3(3)h(x)=lg(x+y/x2+a)(aeR)

75ᢣEᑭᵨ1QḄRSᦪATUVWE'☢Ḅ%⚪23ஹ=/(x)=஻x(l+———)+X'(஺£/?),\/(-7)=-243,D/(7)஺2K—1ᡃ^TUVWEᓫ`ឋ%⚪3—Y4ஹᑨ.ᦪ/(x)=log஻abḄᓫ`ឋAcᵨᦪᓫ`ឋḄdefg஺3+xh;ij:lmnopqrᦪ(I)3ஹ1ஹ1Fᦪᢣᦪstᐸvwl8xᑖyz{ூ⚜{௃▅~ᦟᩞl85090⚓A'ᑡ%⚪1ஹ஺Ḅ஻᪷Ḅde2ஹ᪷Ḅde

763ஹᑖᦪᢣᦪlḄe4ஹXᳮᢣᦪḄeᑖᚪூd௃1ஹqQᢣᦪḄde2ஹqQᢣᦪḄvw%⚪ᢣᦪஹ஻@ᨵᳮᦪFᦪAqQᢣᦪvwTᡂᔩ,ூ௃1ஹ஺Ḅ஻᪷ḄdeᙠqQA(±2)2=4o±2@4Ḅ᪷A33=27஺3@27Ḅ᪷(84)3=-64o4@64Ḅ᪷,()2=0o0@0Ḅ᪷@(±2=16o±2@16Ḅ᪷27=128o2@128Ḅ᪷(-3)5=243஺-3@243Ḅ᪷@ᡃ^ᑮ஺Ḅ஻᪷Ḅdeজ஻@᜻ᦪAaḄ஻᪷¡¢஻'A᝞V128=2,6-243=-5ঝ஻@ᏔᦪAx"=a@¥¦ᦪA஺Ḅ஻᪷¡¢§(a20)᝞V529=23,V729=6ᐸQA஻'(a20)@aḄ¥¦஻᪷஺ᱯCᙢA(1)ª=0,(2)¦ᦪ«ᨵᏔ᪷஺¬᝞16Ḅ᪷a=±2,6=0,±^729=±32ஹ᪷Ḅde§®¯᪷A᝞47,V4,ᖾ,6,°r?@᪷஺জ஻@᜻ᦪAᡃ@஺Ḅ஻᪷᝞q7@-27Ḅm᪷A°@7Ḅ᪷஺ঝ஻@ᏔᦪAx"=a@¥¦ᦪAᢚ(a20)@஺Ḅ஻¥¦᪷,

778Sᦪ஺Ḅ᪷஻'®¯ᦪanw´᪷஺᝞=2@16Ḅwᦪ᪷A¶@5Ḅ¸wᦪ᪷(w´᪷)V7@7Ḅmwᦪ᪷¹ᯠᨵ»H)I=a஻@ᏔᦪAaeR“@ᏔᦪAa>0᝞(ᖾ>=2,(47ᡝ=—27%⚪J=aᔩ?ÁwJ(—3>,VF,#(-3)3,°@UVᑮjŬÁwA(—J(70)2,J(3—ÆAM-b)2(a0AD'ᑡᔜḄG(1)ᝰ(2)(3)ᶭ3ஹᑖᦪᢣᦪḄeÊ☢ḄÇ{Ëgজ᪷ḄÌÍᦪḄᢣᦪÎÌ᪷ᢣᦪ᦮◀A᪷UVᑏᡂᑖᦪᢣᦪsḄÒ஺ঝÓÔ8'A᪷ḄÌÍᦪḄᢣᦪÕÎÌ᪷ᢣᦪ᦮◀A᪷UVᑏᡂᑖᦪᢣᦪlḄÒ஺᝞஺ஹbஹcு0A\l'a^=,4b=b29___mᓽ=an(a>0,in>nwN*)1-1Ýᵫ/஻=—,ᡠVAUVÓÔ=-=(a>Qjn.nwN*)amm0"-0,(fâXe஺

784ஹXᳮᦪᢣᦪᗩḄe᝞3äUV7¯@3k\301ஹ3]ভ4…ḄæçG஺ᢣEᨵèᑖᦪᢣᦪ᧕XᳮᦪᢣᦪḄe§A᦮ᦪᢣᦪvwêUVÓÔFᦪᢣᦪḄvw஺aa-a(ab)'"=a"'bm,ma1=#,{aY=aaᐸQaஹZ?>0,஻?ஹnGRh;ij:3ஹ1ஹ2ᑭᵨᢣᦪOPû¡⚪ᑖdூ{௃ᢣᦪvwᑖᚪ

79ூ௃1ஹD'ᑡᔜḄG2b16N831002(ߟ)4812ஹÁw'ᑡᔜ21ëëëë(1)•í)(86aî/)-?(83ï•)2_3_32_3_(2)(஻ð•஻ñ+(3_)Õn'3ஹ᪷Ḅvw⌕ᓄᑖᦪᢣᦪḄvw(1)—(2)$81QRS(3)yjayfaTa(4)2STxUh;ijÇ{1ஹÁw'ᑡᔜ(x>0ஹy>0ஹz>0)_215-3.2I11_1(1)----------2ri~v~-(2)(8,y4CzT)(x-)3(-”*)(_õ./)46

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4b§+2y/ah"3ஹ2ஹ1ᢣᦪᦪᑖ⚜ூ⚜௃▅ᦟᩞ90094⚓ᑡ⚪஺1ஹᢣᦪᦪḄ2ஹᢣᦪᦪḄ3ஹᢣᦪᦪḄឋ

81ᑖᚪூ!௃1ஹ#$%ᦪ&2ஹᢣᦪ()*⚪+ᡃ-./0123ᐹ5Ḅᦪ&ூ6789௃:☢Ḅ<=1ஹ>?@ABCᑖEFᵫ>?ᑖEH2?/xCᑖEJᑮḄ@AᦪHLMyOxḄᐵQR஺2ஹ>STUឋᱥWXᙢ⊦[Hᐸ]ᱥ^/1100`ᒕᶇḄcHdᩭḄ84%,/1x`jSᱥḄᒕᶇcHdᩭḄykMLOxḄᐵQR஺⚪+<=1ஹ2lm?ᦪᨵ#$ᐳpᱯr&>ஹᢣᦪᦪḄᑡᦪ23%ᢣᦪᦪ?y=2'y=y=3\y=(1)\y=y=(^)A-5~ஹᢣᦪᦪḄ<᝞+y=2,y=dL'ḄஹᢣᦪᦪḄឋ1ஹ+2ஹ+⚪+[cxᡠᨵᦪFᦪL#$&<=+জMᑡᦪḄy=21T,ஹ=y=y!\-ax4a>OJla1LঝMᑡᦪḄ£y=2>ஹ"y=2X3ஹ1rW஺%#$L:

82<᝞ஹ+ᦪy=a/-2ஹ+5஺>04Y1L1r4ஹxு0¢x<0Fᑖ¤ᢣᦪLḄ¦஺<᝞+§¨ᑡᔜᦪO1Ḅᜧ«ᐵQ஺11--2Z,2(ߟ)21005ஹᓫ®ឋ:<᝞+1LᑨXᑡᦪḄᓫ®°±2L§¨ᜧ«2.12O2.1°´0.8-2O0.8-3µὃ⚪+·¸ᢣᦪᦪy=/a>0awlL,ᙠ>▲ᑁa½ᜧF½¾¿À%½¾&ÁµÂÃ+3ஹ2ஹ2ᑭᵨᢣᦪᦪᓫ®ឋÆ⚪>ÇᑖÈÉ!ூ!௃

831,ᢣᦪᦪḄஹ¢ឋ2,Ê+(1)Mᦪy=2>3"Ḅ¢(2).9ᦪ^=஺3Ë+1(஺ு0஺/1)1rMrᙶ᪗஺(3)§¨ᜧ«2ÎO0.2Ï,(´-ᓲO(1)&1002ᑖᚪᢣ+j>⁚Óᡃ-ᩭẆÕᵨᢣᦪᦪḄᓫ®ឋÆ⚪ூ6789௃<1ஹ§¨ᑡᔜÖᦪḄᜧ«প1.725O17/(2)(2)6O0)543(3)“3O*3Ü0(4)1.7°-3O1.8°2<2ஹÆWÝR(1)2Þß4,(2)4,-2à28(3)1+ß/ಘ(஺Ü0"1)<3ஹâᑡᦪḄᓫ®°±(1)y=(2)y=

84বy=x-\(a>0awl)ᡃ-äᩭ:+My=23T'ᓫ®°±Ḅ⌮ᔣµç<4ஹ.9/஺)=è~'"(஺>0஺*1)ᙠ(3,+8)¿%êᦪMᦪ஺Ḅ¦஺ᑭᵨᢣᦪᦪḄᓫ®ឋÀëìM>3ᦪḄ<5ஹMᑡᦪḄ(1)y=2A+,(0

852ஹ+(1)ᦪy=3õ+"Ḅᓫ®⌴÷°±H(2)ᦪy=(1)-?+axlḄ⌴ê°±H3ஹÆWÝR(1)2,5-3<(1-1)()9*+6,>2x4,25ஹMᦪy=)2>ø4—7Ḅ஺6ஹ.9·>ᑗ-l0ᡂûMᦪ஺Ḅ¦஺23ஹ2ஹ3ᢣᦪᦪḄüᐵ⚪>ÇᑖÈÉ!

86ூ௃1ஹᢣᦪᦪḄஹ¢ឋ2ஹᑭᵨᢣᦪᦪឋÆ⚪(1)MᑡᦪḄ¢y=(g)Z,y=2-3A+1(0஺"|(஺ு0஺/1)(3)4'>2X+'(4)ᦪḄᓫy=2-/+2X,y=A/4V-2V+I(5)2.23.6”Ḅᜧ஺ᑖᚪᢣᢣᦪᦪḄ!"#$%ᢣᦪᦪ&ᐵᦪḄ!"#()*+,-⚪஺ூ0123௃51ஹᑖ8ᙠ:;<ᙶ᪗?@$@ᑡᦪḄ!"(1)y=2".B=2E.y=2X-2(2)y=2'y=2'+2y=2'-l-⚪G5iH#IJKLMNOᕖ?

87RS1ஹy=23#+iḄ!"ᔣ[\]2^ᓫ_#KᑮᦪḄ!"஺2ஹᦪy=/(2x-l)Ḅ!"ᔣe\]3^ᓫ_#Kᑮ________ᦪḄ!"஺3ஹᦪḄ!"ᔣ[\]2^ᓫ_#Kᑮᦪ)#=32gḄ!"஺4ஹᦪ)#=231Ḅ!"ij᪵Ḅ\]lᣚ#Kᑮᦪy=23"4Ḅ!"o52ஹ$@ᑡᦪḄ!"(1)y=2"(2)y=2J(3)>=2r(4)),=2"▂(5))#=2v-"(6)y=12■'-II{|$}☢ᦪḄ!"#()*᪷Ḅ^ᦪ-⚪53ஹᑨ@ᑡ᪷Ḅ^ᦪ(1)2'=x+l(2)2'-'=5-lxl(3)3TM=/N:

88ᑖᔣ᜜ூ௃1ஹ(1)y=24i—6Ḅ!"ᔣe\]2^ᓫ_#KᑮᦪḄ!"஺(2)ᦪḄ!"ᔣ[\]3^ᓫ_#Kᑮᦪy=5*23+iḄ!"஺(3)⌕Kᑮy=55r-'Ḅ!"#◤ᦪy=55j+3Ḅ!"ᔣ\]^ᓫ_஺2ஹᑨ@ᑡ᪷Ḅ^ᦪ஺(1)3"*=x+5(2)3"T=2X+53ஹ3ஹ1ªᦪḄ¬ᑖd

89ூ௃1ஹᢣᦪᦪḄஹ!"ឋ2ஹᢣᦪ஺ᑖᚪ5:ឋᱥᙢ⊦l¤ᐸ¦ᱥ#§i100©ªᱥḄ«l¤¬ᩭḄ84%(1)ix©ªᱥḄ«l¤¬ᩭḄy°#ᑏxyḄᦪᐵ?஺(2)i,²©ªᱥḄ«l¤¬ᩭḄ³oᢣ´3µஹ¶ᦪ#·ᢣᦪḄ¸¹ºᦪ஺ூ0123௃(-)ºᦪḄ»(1)/=Nolog,,N=b(a)0ᨴ0Y1)51ஹᢣᦪᓄᡂºᦪ21°=1024,3$=243,73=343,=1,aa-a(a>0aW1)ᢣÇᵨºᦪÉᯠºᦪḄᭆÌ஺জ)10¤¶Ḅºᦪ¸Çᵨºᦪ#logioXÏᑏ¤Igxঝ)e¤¶Ḅºᦪ¸Éᯠºᦪ#log,ÒÏᑏ¤InX»஺(2)log41=0,loga=1u(3)aᖳz=N52ஹºᦪᓄ¤ᢣᦪ61__I(1)log=——lgV10=—

902=tlg5=x2(2)´3In(2x+1)=1lg(2v-l)=2ᑖ8·XḄÚ஺53ஹ·ºᦪḄÚ(1)log8(2)log81(3)log116(4)log1272323

91(5)lgÛ(6)2Mg23()(_1)Ü7)7(810004eNᑖᔣ᜜ὃ⚪31ஹ´3log23=x,log5=y,log15=A,log-=B222-Axஹy,Bxஹyᐵ?᝞ßo2ஹlog,3-x,log9=C,-CXᐵ?᝞ß?23ஹàIglOOOlog?1000(1)log1i000,GoIglOOlog1002log128lg!28(2)log128,232iog32lg322ᵫ}☢1ஹ2ஹ3,IJKLMNOᕖo3ஹ3ஹ2ªᦪḄOPᑣfᣚýþ£ᑖdூâS௃1ஹºᦪḄ32ஹ}⁚äজlog215log23,log25ঝlog21log??,log25ঞlog29log??ᑖ8ᨵj᪵Ḅᐵ?oᵫæ()çj᪵ḄNOoᑖᚪூ0123௃

92(è)ºᦪḄéᑣ(1)logMN=log“M+log“Nn(2)log“—=logM-logNuo(3)logMn=nlogMnaᢣ}☢»ᙠëìºᦪíiÇᵨᑮ஺51ஹᵨlog஺xஹlog“yஹk)g“z⊤ï@ᑡᔜপ1ò0z52ஹ·@ᑡᔜḄÚ(1)log(47x25)(2)IgVlOO2ᢣóô»Ḅ⌮ᵨ53ஹᓄÏ@ᑡᔜ(1)^lg25+31gV2(2)log,5+-log,—-2-100-⚪ᙠ}⁚äbg/oooöMᘤᘤᔜᨵLMᐵ?oῊফúûü?(ý)ᣚ¶.»log,N(2)logb-loga=1afc

93n(3)logbn=—logb(4)log„b1'=logbauuin54ஹᓄÏ@ᑡᔜপ*16ফlog9og8j6log43logs\.kg9(3)(log3+log3)(log2+log8)(4)4839log^-logV457:3ஹ3ஹ3ᦪ"#Ḅ%ᵨᑖdூ()௃1ஹᦪḄ,-2ஹ%./ᑣ3ஹᦪḄᣚ2"#ᑖᚪூ3456௃71ஹ⌱9⚪;<6஺ஹbஹc>?@ᦪA3"=4"=6’ᑣ9:111fஹ221(A)—=—1—(B)—=—1—cabcab1?2Eஹ212(C)-=-+-cabcab72ஹC.(Fx=7*.(?g°7(2)10g9GHI15(1)71g20.(j_)lgO.773ஹ<6log67=a.,log34=6,Mᵨaஹb⊤Plog/l

9474ஹRSᑡUV(1)3'=2'”(WXᑮ0.01)(2)log(3-x)+logo25(3+X)=log(l-x)+logo25(2x+1)4475ஹRZ[#;9l08jX-7log49?-12>0;ᑖᔣ᜜ூ\]^_௃1ஹᵨᦪ"#C.l+-lg9-lg2i-lgTI(1)102+1002'ফ\2510865+49'08872ஹ`a;RSᑡUV(1)2log25-3log25x-1v3(2)log.x+log”;x+logjx=b(a>Olla71),(3)log(x+1)2+log(x+1)=5,(4)lg(x2+4x-26)-lg(x-3)=U24(5)A31gx-2-31gx+4=0,

953^log2=<7,log,5^b,Mᵨaஹb⊤Plg334ஹF/(x)Ḅ,-cd(0,+8),e/(x)=3/(-)-IgxXRUV/(/)+/(/+i)+ig®=05ஹ<621ogFx-141og4x+3WO,f/(x)=log2ḄᨬᜧijᨬEi.n223ஹ4ஹ1ªᦪᦪḄ¬ஹÿឋᑖ⚜ூ⚜)௃▅mᦟᩞp1020107⚓AMrsSᑡt⚪1ஹᦪuᦪḄ,-2ஹvᦪuᦪḄwx3ஹᦪuᦪḄឋzᑖᚪᢣ|;}v⁚\ᡃᩭẆᦪuᦪḄ,-ஹwxjឋz஺ூ3456௃7;ᱥᑁ14ḄḄ⊦d5730AFv|ᦻᱥᱥᓄ14dᩭḄXA}|ᦻᱥᱥḄdAMᑏ|xஹyḄᐵ¡#஺(-)ᦪuᦪḄ,-t⚪H1ஹy=log2(x+l)ஹy=21ogo.1Xஹy=1083%+5[?ᦪuᦪᔩ£

962ஹ<6/(x)=log2xஹg(x)=log]X,f2(1)§ஹ/(g)ஹ/পஹ/(2)ஹ/(4)(2)g(b)ஹg(g)ஹgপஹg(2)ஹg(4)(©)ᦪuᦪḄwxª|SᑡuᦪḄwx(1)y=log2¬(2)y=logx12()ᦪuᦪḄឋz1ஹ,-c;2ஹic;t⚪;®¯°x±²ᡠᨵµᦪAuᦪiy±²¶·£71ஹfSᑡuᦪḄ,-cjic(1)y=log(3-x)(2)j=log(x2-3x+2)223ஹwx>¸,¹(Zº஺?¶·i);72ஹuᦪy=ᦪ8஺©-%)ஹy=logq(/-3K+1)+5(஺>0eah1)¸,¹f|ÂḄ,¹ᙶ᪗஺4ஹ®x>lj0

97ὃ⚪;Ñᢣᦪuᦪy=a'Óa>0e஺#1Õ,ᙠpvx▲ᑁaØᜧAwxØÙÚÛ?ØÙS£:3ஹ4ஹ2ᑭᵨᦪᦪᓫឋ⚪ᑖூ()௃1ஹᦪuᦪḄ,-2ஹᦪuᦪḄwx3ஹᦪuᦪḄឋzᑖᚪᢣ|;ᦪuᦪḄឋz1ஹ2ஹ3ஹ4ஹ5ᨬÜ⌕Ḅ?ᓫËឋAᑭᵨᦪuᦪḄᓫËឋßàRáâãt⚪஺ூ3456௃71ஹÌÍᜧE(1)log3.4-^log8.5ফlogosL8Îlogo.32.722(3)log.5.1Îlog”5.9(a>0eaHl)

98(4)log?çÎlog20.8(5)log67Îlog76èA(1)logm>logn(2)log,mlog“n(a>OJLaHl)uMᑖÇÌÍëஹ஻ḄᜧE஺72ஹRZ[#(1)log(x2+2x)>3(2)logx0eah0)aÓ2ÕᩭíAîlogaxvlogjx?-3xÕðñ᝞ó?73ஹX,SᑡuᦪḄᓫËô(1)y-log(x+l)(2)y-log,(x2-x+2)(3)y=log(-x2+4x)23èAᙠ<6uᦪḄᓫËôõᨵᐸ⌮ᔣùt⚪;75ஹ<6uᦪy=log“Ó2-axÕᙠú0,1ûÚ?üuᦪAfµᦪQḄ±iÉ஺

99t⚪;îy=log“(2-ax)ᙠ0,1Ú?ᓫËuᦪAðñ᝞ó?76ஹ<6uᦪþ=logτ(x?-ax-a+5)ᙠ(—8,1)Ú?ÿᦪᦪ஺Ḅ2஺ᑖᔣ᜜ூ௃1ஹ(1)log(x2-2x-3)<0(2)log(x+1)

1003ஹ%&ᦪ'=108“(-3/+”)ᙠ(-8,)567ᦪᦪ஺Ḅ஺64ஹ%&ᦪ:=1஺8|(—/>஺%+3)ᙠ@,2B56CᦪᦪaḄ஺23ஹ4ஹ3ᑭᵨGᦪᦪᓫឋᦪIJKJᑖூLM௃NO&PGᦪᦪḄIஹQRKឋSNOᢈU1ஹᑡᦪḄᓫ!"পy=log(lxl-l)(2)y=log(-x2+2x)222ஹ%&ᦪ\=1஺82(1]+஺1-1)ᙠ(1,+8)567ᦪᦪaḄ஺3ஹ%&ᦪ:=1஺82(^2+23ᙠ(1,2)56Cᦪ,ᦪaḄ஺

101ᑖᚪᢣ`a>⁚ᡃdẆfᑭᵨGᦪᦪḄᓫឋᦪIJKJḄg⚪஺ூijk&௃l1ஹᑡᦪḄIJKJ(1)y=log(x2-3x+2)(2)y=log(x2-x+—)22(3)y=log(x2-2x+1)(4)y=log(-x2+2x+3)22m1ஹnGᦪḄoᦪpᨵX஺l᝞ு=log_(x2-4x)ḄIJ஺v52ஹGl1(2)▲ᑴx,ᦪḄJ஺l᝞ᦪ,y=log(x2-x+-)(1

102(2)y=logx-log8x(4

103ᑖᔣ᜜ூ௃1ஹᑡᦪḄIJ(1)y-log(-x2+4x)(2)y=log(-4'+2A+1+3)242ஹᑡᦪḄJ(1)y=71og(x+l)-3(7)஺4ஹ%&ᦪy=log2(ax2+Ax+3)ḄIJ(—1,3),ᦪ4Ḅ஺5ஹ%&ᦪy=log2(>2—x+a)(xeR)ḄJ[ߟ2,+oo],ᦪQḄ஺3ஹ4ஹ4ᦪᦪ\]Ḅ^ᐵ,⚪ᑖூLM௃NO&PᦪQḄmᣚஹG¢mᣚK£ᢚmᣚ஺NOᢈU1¥¦(1))=log2(4-5x)ḄQRᔣ¨3ᓫ©ªᑮᦪḄQR஺(2)ᦪy=/(3x-1)ḄQRᔣ¬2ᓫ©ªᑮ________ᦪḄQR஺2ஹᦪy=log(2x-3)ḄQR®¯᪵Ḅmᣚªᑮᦪy=log(2x-5)ḄQR?443ஹᦪy=/(l-3x)ḄQR®¯᪵Ḅmᣚªᑮᦪy=/(-3x+4)ḄQR?

1044ஹᐵ²G¢mᣚ(1)%&ᦪ/(x)=log2(3x-l),ᑖ´`y=/(x)ᐵ²xµஹyµஹ¶·ஹx=—lஹy=2,·(-1,2)G¢QRG¸·ᦪ᪆஺(2)%&ºᦪQR»`QRG¢mᣚ஺l᝞y=/(l-x)¼y=/(x-l),y=log4(2x-3)¼y=log4(-2x-3)஺5ஹ᝞½ᑨ¿ÀÁ᪷ᦪ?(1)4V=l-x(2)3-w+x2=4ᑖᚪg⚪ĺÀÁÅḄᢣᦪmGᦪl᝞log\x\=-x2,log(-x)+1-x=022ÀÁ᪷ḄᦪÆ᝞½ᑨ¿ᕖ'ÈᡃdᐜᩭËKGᦪᦪÌᐵᦪḄQRூijk&௃l1ஹË`ᑡᦪḄQRপy=logx(2)y=log(-x)<3)y=-logx222(4)y=log2IxI(5)y=1log2xI(6)y=-log2(-x)(7)y=log2(x+l)(8)y=log2x+1(9)y=log2(l-x)(10)y=log(lxI+1)(11)y=logIx+11(12)y=1logx+11222

105ᢣ`ËᦪḄQR1ஹᨬNOḄÀÍ6ηÍ'2ஹ⌕ᵨQRmᣚ&P஺ÏÐᦪ)=10g21x1ḄQRᐵ²ÑÒx=0G¢ᦪy=log2lx+11ḄQRᐵ²ÑÒy=log2lx+11G¢ᡃdÓ>ÔwxÕg⚪%&ᦪy=log2lax-IIQRᐵ²ÑÒx=-2G¢aḄ஺Ö×Ë5☢ᦪḄQRÙwxÕÀÁ᪷Ḅᦪg⚪l2ஹᑨ¿ᑡÀÁ᪷Ḅᦪ(1)lgx+3=x(2)log(x+1)+x=32:ᑖᔣ᜜ூÛM௃1ஹᑨ¿ᑡÀÁ᪷Ḅᦪ஺(1)Ilog(x+l)I=3(2)31T=2X+52

1062ஹ%&ÀÁ11082஺+1)1+4=஺ᨵºᦪ᪷ᦪ஺Ḅ஺ὃ⚪ᑨ¿ᑡÀÁ᪷ḄᦪeK+c-x(1)7+1=0(2)log(-x2+2x+3)+x+l=02.l+x,„বlog—x-l=02+3ஹ5ஹ2ᢣᦪᦪaᦪᦪaᦪḄ᜻Ꮤឋ(2)ᑖூLM௃ᦪQRG¢mᣚ&P1ஹ>ᦪQRáâG¢஺2ஹºᦪQRḄG¢஺ᑖᚪᢣ`O⁚Ẇf>¼ᦪ᜻ᏔឋåᦪQRG¢mᣚÌᐵḄæg⚪஺ூijk&௃l1ஹ%&"(X)6IᙠR5ḄᏔᦪé/(x+2)={L,ë04x41ì,/(x)f(x)=4x+\,஻log215)஺

107l2ஹ%&/(x)6IᙠR5Ḅ᜻ᦪy=/(x)ḄQᐵ²ÑÒx=1G¢,éë04x41ì/(x)=2'—l,/(logτ24)஺g⚪>:⚪Å“IᙠR5Ḅ᜻ᦪy=/(x)ḄQ.ᐵ²ÑÒx=lG¢”ᦋ“ᦪy=/(x)ḄQᐵ²ÑÒx=1åx=2G¢”5Èg⚪ï᝞½Õᕖ':ÛMðñ%&IᙠRTḄòᦪ:{ñপ-ḄQᐵ²·>({ফ>G¢ôë0õ஺:ì/(%)=2,-9,f(log215)02ஹ%&/(x)6IᙠR5Ḅ᜻ᦪ,é/(x)=/(x-2A)(AeZ),ëxe(0,1)ì,(1)ë2k—14x42k+l(ZHGZ)ìñ=/(x).Ḅ᪆஺(2).ö÷/(x)ᙠ(0,1)56Cᦪ஺3ஹ5ஹ3ᢣᦪᦪஹGᦪᦪ¼{|ᦪø>ùᑖúÓLM

108ூg⚪௃ᙠẆf{|ᦪìᡃdÖ×ñÕûüg⚪'ÛMᑡᦪḄJ(1)y=X1-2x-3(2)y=x2-2x-3(x>0)(3)y=x2-2x-3(^-{|ᦪ¼ᢣᦪᦪஹGᦪᦪḄýþg⚪஺ூijk&௃l1ஹᑡᦪḄJ(1)y=4x-2x+i-3(2)y=4x-2x+l-3(-10awl,y=a2*-2஺'3(-l

1095ஹ#ᦪ)&=4'஺-2ᵪ—3(—1WXW3)Ḅᨬᜧ45,஺Ḅ஺7ஹ#ᦪ)&=4*22—3(a4x4a+l)Ḅᨬ4,7ᦪaḄ8:஺;<=:ᑖᔣ᜜ூ@ABC௃1ஹFᑡ#ᦪḄH(1)y=Igxlg(lOx),(2)y=Igx-lg(10x)(—

110#ᦪy=Igx•lg(ax)(\0a]l,p-yeR)no#ᦪᐹᨵᓫbឋd᜻Ꮤឋ&stuv/*)+/(y)=/(x+y)(xஹyeR)Ḅ#ᦪ/(x)ᐹᨵᓫbឋd᜻Ꮤឋᔩz2ஹlmᢣᦪ#ᦪ/(x)=a'(a>0a21),f(x)-f(y)=f(x+y)(xஹyeR),

111ᢣᦪ#ᦪᐹᨵᓫbឋ&stuv/(X)•/(})=/(x+y)(xஹye/?)Ḅ#ᦪ/(x)ᐹᨵᓫbឋᔩz3ஹlᦪ#ᦪ/(x)=log“x(a>0aW1)uv/(x)+/(y)=f(x-y)(xஹye/?),lᦪ#ᦪᐹᨵᓫbឋ&stuv/(x)+/(>)=/(x-y)(xஹyeR)Ḅ#ᦪ/(x)ᐹᨵᓫbឋᔩzᑖᚪூ௃1ஹlmḄxஹyeR,fM+f(y)=f(x+y),xு0&/(x)<0(1):/(x)᜻#ᦪ஺(2):/(x)ᙠ(-oo,+oo)#ᦪ஺(3)/(1)=2,xe[—3,3]&^=/(x)Ḅᨬᜧdᨬ஺2ஹlmḄxஹy&R,/(x)"(y)=/(x+y),xு0&/(x)>1/(X)ᙠ(-00,+0஺)#ᦪ஺3ஹlmḄxஹy>0,/(X)+/(>)=/(ry),}>1&/(x)<0

112/(x)ᙠ(0,+8)#ᦪ஺ᨵ᪵Ḅ⚪ᑮᐹḄ#ᦪ4ஹlmḄxஹyeR,f(x)+f(y)^f(x+y)+2,x>0&f(x)>2(1)/(X)ᙠ(8,+8).#ᦪ஺(3)/ব=5,/(/—2a—3)<3஺;<=ᑖᔣ᜜ூ@ABC௃1ஹlmḄxஹyeR,=f(x-y),x>l&/(x)>0(1)ᑨ¡/(x)Ḅ᜻Ꮤឋ஺(2)/(x)ᙠ(0,+8)#ᦪ஺(3)/(x)+/(x—3)W0

1132ஹ¢£ᙠḄ#ᦪ/(x)uvজlḄxஹy/(x)+/(y)=/("3Fঝxe(-l,O)&/(x)>01+xy(1)/(x)᜻#ᦪ(2)/(x)ᙠ#ᦪ஺ব/(3+/(1)+஻4)+•••+7(^-4¦)>/(!)51119n2+3/1+123^lᑗḄXGRxwO,f(x)•f(y)=2f(x-y),xC/(x)>0,x>l,fM

1143ஹ¾¹஺ḄnºḄ½¿=஺3஺4ஹÀÁÂÃfÅÆÇÈ1ᓟÉ&ÁÊÆḄËÌ¿ÍÎ/Ï&ᑣ¿=!=Ñ஺tூ௃ஹÒ#ᦪḄ¢£Ó1ஹ#ᦪ>=Ô஻—3஺+3Õ/஺-3Ô4ÖᦪÕᗩ#ᦪ&ØḄ஺2ஹÙ#ᦪḄ¨ÚÃÛ.Ô2,ஹᔊÕ&Ý#ᦪḄ᪆஺ß.ஹÒ#ᦪḄ¨Úᑖàᙠáâãᙶ᪗æFçèFᑡ#ᦪḄ¨Ú1123éß1ஹy=x>y=xஹy=x'>y=>y=x\2>y=x~]>y=x~2>y=x2ßஹêëᦪḄឋk1ஹoìᜧ

115I23311.(.1)l.Pj.42(2)357T\(3).1.42,1.ry2ஹï#ᦪð=/"2-2"3(R€%+)¨`ᐵm'ólô&ᙠ(0,+8)#ᦪ&mm(a+1)3<(3-2a)-?»3ஹ/(x)=X-"“2"+3(஻ez)ᙠö0,+8).#ᦪ&f(x2-x)>f(x+3).34ஹᙠ(0,+oo)ᢣ#ᦪ஺

116;<=:⚪1ஹ᪷øᡃᡠçú#ᦪḄ¨`&oûFᑡ#ᦪḄᜧü¨`4335y=x3>y=x4>y=x5.>y=x3_4_3y=x3>y=x42ஹᵨ#ᦪᓫbឋḄ¢£À#ᦪḄᓫbឋ஺