预科班讲义教学【数学】

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185:⚪k▢¿@ḄnP(x,))ḄÄᙶ᪗xḄiDÆ-1M3,Çᙶ᪗yḄiDÆO0W3.ᦑ▢¿(ÀÁÂ)@Ḅn
ᡂḄ)ᔠ{(x,y)|-lSE3,0W)W3}.I{ÈÉᓣI1.)ᔠA={(x,y)|x+Ël,xeN,yGN}@ᐗsḄᦪ1()A.lB.2C.3D.45᪆#ÌxGN,yGN,yx+¶1,,:x=0,y=0ᡈy=l;=1,y=0.XᦑA={(0,0),(0,1),(1,0)).ᫀ:C2.)ᔠP={x|x=2ᓃkeZ},Q={x|x=2k+l,kGZ},R={x|x=4k+l,keZ},aePÈWQ,ᑣᨵ()A.஻+Z?WPB.a+bWQC.a+b^RD.a+bÏÐZP,Q,R@ḄÑÒ>5᪆:A஺=2m(m£Z)/=2஻+1(஻WZ),ᡠH஺+6=2m+2஻+1=2(m+஻)+1.Ó஻Ô)ᔠQ@ḄᐗsᱯÖᡝ2ᦇ+1(MZ)WÙᔠᡠH஻+b£Q,ᦑ⌱B.ᫀ:B3.AÚÛ1ÜÝCᦪᑣÞ"+"à{ḄiD
ᡂḄ)ᔠ()A.{3}B.{3,2,1}C.{3,-2,1}D.{3,-1}5᪆:a>0,b>0,y=3;a>0,b<0,y=-l;a<0,b>Qa<0,b<0j=-L

19=ᫀ:D

204.)ᔠá{â-2ã<2/£2}1=3)=å+1/æ},ᑣ)ᔠBᵨᑡ⊤15᪆:ᵫ⚪ÒA={-1,O,1},tB={y|y=x+14CA},ᡠHB={1,2}.ᫀ:{1,2}5.)ᔠA={1,2,3},B={1,2},C={(x,y)|xGA,yCB},ᵨᑡ⊤)ᔠC=5᪆:^'C={(x,y)|A-eA,y6B},•:cdᩩèḄn(1,1),(1,2),(2,1),(2,2),(3,1),(3,2).ᫀ:{(1,1),(1,2),(2,1),(2,2),(3,1),(3,2)}Ié=êëI1.A={2,3,a+24-3}]={|“+3],2),B56,y5ì8,ᑣaḄD,5᪆##'5£A,+2a
3=5,ía=2ᡈa=-4.Ó56B,
#|a+3f5,•:W2,J3.«^-8,Za=-4.ᫀ-42.)ᔠ={ᵨ᝖2_3å+2=0},ᐸ@aðᦪy(1)BA@ñᨵ>ᐗsòaḄiDÆফBA@ᨵ>ᐗsò஻ḄiDÆ.5:পA@ាᨵ>ᐗsB4á0,ᑣ§öᓄ-3x+2=0,÷ᓃᐵZxḄ§ö஺/-3å+2=0ùᨵ>Cᦪ᪷Ïá4B஺ᑣã4=9.8஺=0,5û஺=%,ýᐵZxḄ§öOX<3X+2=0þWYḄCᦪ᪷.A@ᨵᐗsᑣ“,4=9&/>0.a<9&W0,ᐵXḄOA-2-3X+2=0ᨵḄᦪ᪷.,Aᨵᐗ.ফ"A#ᨵᐗᑣ%0/=9-8“<0,“>98,ᐵxḄ@Z3X+2=0#ᨵᦪ᪷.

21"Aាᨵᐗᵫপ*a=0ᡈa=%M=0ᡈ⁐-,A.ᨵᐗ.3./*0ᔠA={x|x=3஻+l,஻£Z},B={x|x=3஻+2,஻£Z},C={x|x=6஻+3,஻£Z}.প3c£C,45ᔲ%ᙠcPA89B,:c=a+b;(2);<=ḄA,A£B,5ᔲ>ᨵo+b£C??@ABḄCD.:পFc=6m+3Q%£Z),ᑣc=3m+l+3஻?+2.GF஺=3J+1/=3m+2,K(jc=a+b.ᦑ3c£C,>%ᙠ:c=a+bᡂN.(2)>ᨵ஻+஻WC.@A᝞Q:R஻=3஻?+1/=3஻+2(m஻6Z),ᑣ஻+/?=3(+஻)+3.TUV஻WZ,ᡠXm+n^Z.3m+nUᏔᦪFrn+n=2k(k^Z),ᑣ3஺஻+஻)+3=6ᦇ+3,a+b^C.3m+nU᜻ᦪFm+M=2&+1(&£Z),ᑣ3(/n+஻)+3=63+6=6\+1),஻+஻4C.]*;<=Ḅ1£^8_8,>ᨵa+b^C.

22`3a0ᔠbḄcdᐵeஹᔠᔠḄᐵ1ஹg0hiᙢ;0ᔠAஹB,᝞k0ᔠA<=ᐗl50ᔠBḄᐗᑣm0ᔠA50ᔠBḄg0஺nohAqBᡈB2A
.ឋqhজজ1Asᱯuᙢজ=জvwঝAUAwঞ3AuB,BcC,ᑣAcCo2ஹ0ᔠhz⌕᪀ᡂ0ᔠḄᐗ5᪵Ḅ~m0ᔠឋqhA=BU>AqB,BA3ஹg0h᝞k0ᔠA=8,%ᙠᐗxeB,XCA,ᑣm0ᔠA50ᔠBḄg0.nohA^BoAqB,AWBឋqhজ3AWজᑣᨵজUAwঝ᝞kAUB.BUC,AUC஺ঞ>h0ᔠ5<0ᔠḄg0.4ஹg0ḄឋqজA^A,ᓽ<0ᔠl5dḄg0ঝ᝞kA£B,B^A,A=B£ঞ᝞kAB,BR,ARUUCZট᝞kA/B,B±C,A?CI⚪
I—⚪
CDEᦪI1.0ᔠ1,2,3Ḅg0Ḅᦪᐳᨵூᫀ௃82.0ᔠ1,2,3Ḅg0ᐳᨵsvA.5B.6C.7D.8ூᫀ௃C3.]=Puai,2஺3,,ᓽ-1%"eN,஻23
Ḅ0ᔠPᐳᨵs

23A.2”4-1B.2n~2-1C.2"T-1D.2n-1

24ூᫀ௃B⚪
I—⚪
DGDI1.Rx,)ER,A={(x,y)|y=x},B={(x,y)|'=1},ᑣ0ᔠA,BḄᐵe5()xA.A¤B.B%C.A=BD.ABூᫀ௃B2./*0ᔠM{1,2}uMq{1,2,3,4,5},ᑏ°᪵Ḅ0ᔠM,ᨵ.M?ூᫀ௃h83./*0ᔠA={x\x2+x-6=()},B={x|ox+1=0},B$A,¶஻Ḅ·஺ூᫀ௃h1/3,-1/2,04.R0ᔠA={-32,xeR}.3A¿B,ᑣᦪa,b()A.16Z+/?|<3B.1+/?|>3C.\a-b\<3D.\a-b\>3ூᫀ௃D6.R0ᔠA={x|-2Wx«a},8={y|y=2x+3,xsA},C={z[z=12,xwA},3¶஺Ḅ»·½.

25ூᫀ௃h[1/2,3]I⚪
I——⚪
H0ᔠI1./*M={2,a,b},N={2m2,F),M=N⊤ÊËḄ0ᔠ¶m^Ḅ·ூᫀ௃h0,1ᡈ1/4,1/2{}(}2.R0ᔠM=x\x=12m+8஻+4/(m,n,lsZ),N=x\x-20p+16q+12r(/?,q,reZ),¶@:M=N3.3A={MX=4஻+1,஻EZ},B={MX=4/I-3,/2£Z},C={RX=8஻+1,஻EZ},ᑣA,B,CÍbḄᐵe5()A.CuBuAB.AuBuCC.CuA=BD,A=B=Cூᫀ௃C

26-.3ᔠḄIJᐵIcẠÏÐI1.s2016•ÒÓÔÕᓝ᪥ὶᔠÙÚÛv᝞kA={x|x>-1}ÜÝḄCD5svA.OUAB.{O}eAC.{Ov£AD.0GA᪆hh•OCA,.h{0}UA.ᫀ:C2./*0ᔠA={x|x5äåæçè},B={x|x5éè},C={x|x5Üè},D={x|x5êè}ᑣsvA.AUBB.CUBC.DGCD.AUD᪆:Üè5ëçḄéè.ᫀ:B3.>ì0ᔠíîAOB={c[c=n+"aCA8CB},3A={0,l,2},B={3,4,5},ᑣ0ᔠAOBḄg0ᦪUsvA.32B.31C.30D.14᪆hrA={0,l,2},B={3,4,5},XAOB={c[c=a+b,aGA,6GB},.hAOB={3,4,5,6,7}.ö0ᔠAOBᐳᨵ5ᐗ.:0ᔠAOBḄᡠᨵg0ḄᦪU2§=32.ᦑ⌱A.ᫀ:A4./*0ᔠA={2,-1}2={ù2_ù,_]},A=B,ᑣᦪ8=svA.2B,-lC.2ᡈ-1D.4᪆hh'A=B,-m=2,ᓽm-m-2=Q,.,.m=2ᡈm=-\.ᫀ:C5./*0ᔠA={x|lû<4},B={x|x4}B.{a|a>4}C.{a\a<4}D.{a|a<4v᪆:ü0ᔠA⊤Êᙠᦪýs᝞þᡠÊv1_1---------01-----------4X⌕AUB,⊤ÊᦪaḄÿ
ᙠ⊤4Ḅᜐᡈᙠ⊤4ḄḄᡠᡠaḄᔠ|4}.

27ᫀ:A6.⊤ᔠM={«r|0W2}ᔠN={%|/.2%=0}Ḅᐵ"ḄVenn#$()7'᪆:'X2E=(),)x=2ᡈx=(),ᑣN={(),2}.+M={x|0W2},ᑣNgM,ᦑMN-.ḄVenn#᝞⌱⚗Bᡠ.ᫀ:B77.23ᔠA={-1,3,2"-1},ᔠB={3,஻},7BUA,ᑣ8ᦪm=.'᪆:ᔠA,B:ᙳ<ᨵᐗ?3,ᵫBGA,)B:ABᐗ?tn2BCDA:ᐗ?:ḄBEFG.77,+NO,ᑣm=2ᵯ1,')m-\.ᫀI1+K1,28.7A=,B={(x,y)\y=ax+\}LACB,ᑣa()1-3=0{F-1={M)}'᪆:A=2rA^B,Z-l=ax2+1,
a=N2.ᫀN29.23ᔠA={/},B={a,a2,஻b},LA=B,8ᦪa,bḄ.'II'A=BL7“=1,ᑣJ=1,ODᔠ:ᐗ?ḄPQឋST,
I#L77a=1,Vljᡈ஺=1(YZ).••A={1,-1,/?),/.h=ab=-b,&flh=0.74b=1,ᑣJ=bDEJ=l,ᓽ஺=1(YZ).

28ᦑa=-l,b=O.10.23ᔠA={X|11}.(1)7A5B,aḄ_;(2)7BGA,aḄ_.':প7ASB,ᵫ#b3,a>2.,I41e1.012axফ7BGA,ᵫ#b3,____8I_01a2xIijᓣI1.7K,y£R,A={(x,y)|y=x},B=[)|=1lᔠA,BmḄᐵ"()A.AgBB.A?BC.A=BD.AGB'᪆IITB={o,p|=1/{஺pp|r”,Lt0},ZBSA.ᫀ:B2.23ᔠA=*|஻-1Wa+2},B={x|34<5},ᑣvA2BᡂxḄ8ᦪaḄᔠ$oFA.{a\3

29=ᫀ:B

303.7B={l,2},A={x|xUB},ᑣADBḄᐵ"$()A.AGBB.BSAC.AUBD.BUA'᪆IḄ{1},{2},{1,2},0,.IA={X|X£B}={{1},{2},{1,2},0}.:BGA.ᫀ:B4.23ᔠM={x|/+2x-8=0},N={x|(x-2)(x-a)=0},7NUM,ᑣ8ᦪaḄ.'᪆:M={x|/+2r-8=0}={2,-4}.~2,N={-2)(1-4)=0}={2,°},:TMGM,~a=2,N={Ha-2)(x-஻)=0}={2},NCM,ᔠ⚪.ᫀ:-4ᡈ25.᝞ᔠM={(x,y)|x+yvO,>0},PK{(xj)|x<0,y<0},MDPḄᐵ".'᪆:>0,ᡠ,y.+HyvO,ᡠxvO,y

31.IASB=C.ᫀ:B=C2.(2016•¶·¸¹B:Bº:)ᔠA={x|a/-2x+2=0},ᔠB={y|.y2_3y+2=0},᝞AUB,8ᦪaḄᔠ.':ᓄÀᔠB)B={1,2}.ᵫAUB,37஻=0,ᑣA={x|-2x+2=0}={1}^B.KaL"M4=4-8a<0,ᓽOᔢA=0GB:Md=4&t=0,ᓽ஺=12R,A={2}GB;~/=4-8a>0,ᓽ஺<Ã2,Lt0ᨵAK{1,2},ᡠ1,2ᙳᐵÄxḄÅÆar2-2x+2=0Ḅ8᪷ᓽa-2+2=0,4a-4+2=0,O$ÈbḄ.|ᡠ8ᦪaḄᔠ{=0ᡈ>1123.23ᔠA={x|-lSxM},B=3l-lS^2஻z+l},LBGA.(1)8ᦪmḄᔠË(2)~,ᔠAḄḄEᦪ.':(1)037W-1>2m+l,EPm<-2,B=0ᔠ⚪.ÏУ2Ñ+1,ᓽÒ-2,B#஺.ᵫBGA,ÓÔᦪÕ(᝞#ᡠ),-1m-12m+l6x//…τ')osW.ᡠosW.)B1NT,'2+1^6.>-2,ᔠ⚪{}Û3ᡠ0z|Üᔠজঝb38ᦪmḄᔠ{

324áᔠDᔠḄâDãᐵ"ஹᔠḄ1ஹãIBåᙢᵫᡠᨵçÄᔠAᡈᔠBḄᐗ?èᡂḄᔠéᔠADBḄê.ëìIAUB={x|xeA,ᡈxeB}.ឋíIজAUA=A®AUO=A(3)AUB=BUAটAcAUB,BcAUBঠAUB=B<=>AcB2ஹâIBåᙢᵫçÄᔠAòçÄᔠBḄᡠᨵᐗ?èᡂḄᔠéADBḄâó.ëìIAAB={x|xwA,LxeB}.ឋíIজADA=AঝAPIজ=0}B={xCR|(x+1)(x-3)>0}ᑣAClB=()A--1B-1-3C-3,3D(3,+)(8,)(,2.)(2)00

33ூᫀ௃IDù5.7ᔠA={x\2x+]>0},B={x\\x-I\<2},ᑣAB1ூᫀ௃Io-23pf2x+lேf6.ᔠA={x||2_r-l|<3},8=,ᑣADB()I3-xJATqீᡈ1Bx\2

342.ᔠA={0,1,2,3},8={1,2,4}ᑣᔠ438=34A.{0,1,2,34}B.{1,2,3,4}C.{1,2}D.{0}

35ூᫀ௃A3.ᔠA={1.3.]7},B={1,m],AB=A,ᑣm=()AOᡈJB0ᡈ3Clᡈ:DIᡈ3ூᫀ௃B4.<ᔠA={x|-1<%<2},8={@/«1},ᑣAB=()2A.{x|-l)C.[-1,1]D.(-oo,-1]U[l,+oo)ூᫀ௃C16.

36-.4ᔠᔠḄ_^ᐵILẠNOI1.ᔠM={R-3(P5},N={x|x<-5,ᡈx>4},ᑣMUN=()A.{X|X<-5,B£,X>-3}B.{X|-55}Q᪆:ᙠᦪUVᑖX⊤ZᔠM[N,᝞]ᡠZ_J-M1`-5-345XᑣMUN={x[x<-5,ᡈx>-3}.ᫀ:A2.ᔠA={x|x=2"-3,஻GN},B={-3,l,4,7,10},ᑣᔠAABaᐗcḄdᦪe()A.5B.4C.3D.2Q᪆:ᵫᩩhi஻=0j,2”-3=-3;in=2j,2஻-3=1;in=5j,2஻-3=7.ᡠkAAB={-3,1,7}.ᦑ⌱C.ᫀ:C3.ᔠA={-2,0,2},B={x|x*2=0}ᔓADB=()A.0B.{2}C.{0}D.{-2)Q᪆:oeB={-1,2},ᡠkAC1B={2}.ᫀ:B4.ᔠM={a,y)|x+.p0),N={a,y)|x+,(U£Rj£R},ᑣᨵ()A.MUN=MB.MUN=NC.MAN=MD.MCIN=0Q᪆:ᔠM⊤Zrஹtu▲wḄxᑖyᔠN⊤Zᙶ᪗|}.ᫀ:A5.~={£N1஺^10}g={%£᯿2+ᡀ-6=0}ᔓ]a▢ᑖ⊤ZḄᔠe()

37GZIDA.{2}B.{3}C.{-3,2}D.{-2,3}Q᪆:A={1,2,3,4,5,6,7,8,9,10},B={-3,2},ᵫ⚪_,▢ᑖᓽeAC1B,ᦑACB={2}.ᫀ:A6.ᔠS={ww}ᔠP={Ὺw}ᑣSAP=.Q᪆:snp⊤Zᔠs[ᔠpḄᐳᐗcᡂḄᔠᦑsnp={Ὺww}.ᫀ:{Ὺww}7.ᔠA={2,3},B={2,6,8},C={6,8}^](CUA)nB=.Q᪆$$'AUC={2,3}U{6,8}={2,3,6,8),.$(CUA)AB={2,3,6,8}A{2,6,8}={2,6,8).ᫀ:{2,6,8}8.ᔠA={x|1},B={x|xNa},AUB=R,ᑣᦪaḄ!#.Q᪆:ᵨᦪU⊤ZᔠA,B,᝞]ᡠZ8ra1xᵫAUB=RᑣᙠᦪUVᦪa1¡ᔠᡈᙠ1Ḅ¢£ᡠka<\.ᫀY19.ᔠA={|13-¥ᔠB={x|3>2x-1},¦ACB,AUB.Q:Q§¨{3->0,©-2ª<3,3+6>0,ᓽA={x«2Vx<3}.Q§¨3>2x-I,©x<2,ᓽB={x|x<2},ᙠᦪUVᑖX⊤ZᔠA,B,᝞]ᡠZ.-223xᑣAf!B={x«2Vx<2},AUB={x|x<3}.10.A={x|x+4x=0},B={x|x+2(a+l)x+a-1=0}.

38পAUB=B¦஺Ḅ!°ফACB=B¦aḄ!.Q:পA={-4,0}.AUB=BᑣB=A={-4,0},Q©a=l.ফAC1B=BᑣBUA.■Be²ᑣ/=4(a+l)'
4(/
l)=8a+8<0,Q©a<-l;Beᓫᐗcᔠᑣ/=4(a+l)2-4(J-i)=8a+8=0,Q©a=-l.´a=-\µᐭ·¸x+2(a+l)x+a-1=0,©=0,ᓽx=0,B={0},¹ᔠ⌕¦;B=A={-4,0},ᑣ“=1.¼Vᡠ½,¾-1ᡈa=\.I¿ÀÁᓣI1.X={0/24,5,7},Y={1,4,6,8,9},Z={4,7,9},ᑣ(XClY)U(XOZ)()A.{1,4}B.{1,7}C.{4,7}D.{1,4,7)Q᪆$-XOY={l,4},XnZ={4,7},Z(XAY)U(xnZ)={l,4,7}.ᫀ:D2.ᔠM={a,0},N={1,2},MDN={2},ᑣMUN=()A.{a,0,1,2}B.{l,0,l,2}C.[2,0,l,2)D.{0.1,2)Q᪆:ᵫᔠM={a,0},N={l,2},MCN={2},ᡠka=2.ᦑMUN={0,l,2).ᫀ:D3.ᔠA={H-3W8},B={x|x>a},ADB/0ᑣaḄ!#()A.a<8B.u>8C.a>-3D.-3a},⌕ÄAAB^0ÅÆᦪU_a<8.

39-3aRxᫀ:A4.ᔠA={5,a+1},ᔠB={a,6}.AAB={2},ᑣAUB=.Q᪆$:AnB={2},.2WA,ᦑa+1=2,G=1,ᓽA={5,2};Ç2WB,.b=2,ᓽB={1,2},•AUB={1,2,5}.ᫀ:{1,2,5}5.ᔠA={x|x5},B={x|aSx@},AUB=R,ACB={x|5<6},ᑣ2a-b=Q᪆:᝞]ᡠZ_4=1/=6,2“È=4^^4-----------156xᫀ-46.ᔠ~={É3Ê-1=0}1={"1
5+4=0},~1)8=8,ᑣaḄ!.Q᪆$$Ë{1,4},AUB=B,,AGB.ia=oj,A=0¹ᔠ⚪°iᙠ0j,A4],
$3'=1ᡈ/=4,,1T1..a=~2>ᡈa-n.,..J1¼V,஺0,`3,Ì.ᫀ0,3«IÍÎÏÐI1.ᔠA={x|x2-ox+a2-19=0},B={x|x2-5x+6=0},C={x|x2+2x-8=0}.পACB=AUB,¦஺Ḅ!°(2)0$AnB,AHC=0¦aḄ!.Q:ᵫ©B={2,3},C={2,-4}.

40(1):AnB=AUB,,$A=B.

41Ñ2+3,.2,3ᐵxḄ`ᐗÓ·¸x2-ar+a2-19=0ḄÔd᪷.2119=2x3,©a=5.(2)ᵫ஺ÖAnB=>AnB^0.ÇADC=0©3GA,2×A,-4ØA.ᵫ3£A©3
3஻+஻-19=0,Q©a=5ᡈa=-2.ia=5j,~={É/-5+6=0}={2,3},2ÙAÚÛ°ia--2j,A={x|x+2r-15=0}={3,-5),¹ᔠ⚪..a=-2.2.ᔠA={x|2a+lWv^34-5},B={x|x<-l,ᡈx>16}.(1)APB=0¦ᦪaḄ!#°(2)AU(ACB),¦ᦪaḄ!#.Q:পA=0ᑣAPB=0ᡂÜ.Ýj·+1>3஺-5,ᓽa<6.A/0᝞],ᑣ2+1<3-5,Q©6-1,ßàáa=6,a=7¹ᔠ⚪.¼VâãᩩhAPB=0Ḅᦪ«Ḅ!#a<7.(2)oeAU(AriB),ᡠkACB=AᓽAUB.äᯠA=0âãᩩhÝja<6.A/0᝞],—I_1-1___=.2a+l3a-5-116x1__llI.-1162a+l3a-51ᑣ(2+143-5,ᡈ2+1<3-5,13-5<-112+1>16.ᵫᡝ+1M3-5,Q©e0a3-5<-1,

42ᵫ32+1<3-5,Q©q>çI2+1>16,¼VâãᩩhAG(AAB)ḄᦪaḄ!#஻<6ᡈa>^2.

43r5è⊡ê¼ᔠëᵨ"ஹ$ᔠḄ⊡$1ஹᐰ⊡$1ᡈx«0},ᑣQM=ூ/ᫀ௃{X|O2C.xxx>2ூ/ᫀ௃C4.:;ᐰ$U=R,$ᔠM={x||x-l|<2},ᑣCuM=A{x|-l3}D{x|x4-1ᡈx23}

44ூCᫀ௃C5.#$ᔠA={x|l

45ூCᫀ௃B

469.#ᐰ$U={px,yr|x,r=€R},$ᔠt={p%uvw2=1}x={yr=r|r=ᡭ+1},{|p3᎔~pprx—2A.0B.[(2,3))C.(2,3)D.{(x,y)|)Hx+l}ூCᫀ௃B—ᔠiᔠ⚪⚪
I——⚪
_^⊡kDiᔠI1.$ᔠABḄA*8={x|xeAᡈxw8xAc8},Up4*8r*A=ூCᫀ௃B2.#ᐰ$U={x?I20ḄK᜻ᦪ},.AC(CuB)={3,7,15),(CuA)CB={13,17,19),(CuA)C(CuB)=஺=ᑣACB=.ூCᫀ௃{I,5,9,11}3.᝞YᡠN=M,P,SZ=Ḅ^$=ᑣ▢cdᑖᡠ⊤NḄ$ᔠZp)A.(wnp)nsB.(wnp)us/Mn^n(cp)(MAP)U(C^CsDFூCᫀ௃c24a=(a+4)x,ae/?},Bx.r2+4=5x}o4.#$ᔠAx.i

47(1).AB=A,ᦪaḄফAB,AB.ூCᫀ௃(1)a=\ᡈ4(2){1,4,a}{4}5.:;x2+bx+c=0ᨵ^Ḅ᪷xi,#C={xi,X2},A={1,3,5,7,9},B={1,4,7,10},.AC=,C3=C,¡b,cḄ஺ூCᫀ௃&=-14c=40o76.:;$ᔠP={x\x=m-n,mGZ,nGZ},A={x\x=2k-I,kZ},B={x|x=4¥@2,Z£Z},§(1)AuP(2)3cp=6

48⚪
I——⚪
l☢Cn5I1.$ᔠA={x|x2-ar+a~-19=o},B={x|%2-5x+6=o},C={x|-8=o}ª«AAC=0,ᦪaḄ.ூCᫀ௃a=-22.$ᔠA={xj2-4x+2a+6=0},B={x?>0),.AcB*0,ᦪaḄ¯ூCᫀ௃a<-13.$ᔠA={x|-24

49-.5⊡kiᔠᵨI¿ẠÁÂI1.(2016•ÄÅᜧº@Ç@È):;ᐰ$U={0,1,3,5,6,8},$ᔠA={1,5,8},B={2},ᑣ$ᔠ([uA)UB=()A.{0,2,3,6}B.{0,3,6}C.{2,1,5,8}D.0Ê᪆:[uA={0,3,6},(ÍuA)UB={0,2,3,6).Cᫀ:A2.:;U=R,A={x|x>0},B={x|Î-1},!![AC(CuB)]U[Bn(CuA)]()A.0B.{x|Î0}C.{x|x>-1}Ñ.{>0,ᡈÎ-1}Ê᪆[uA={x|Î0},(uB={x|x>-l},.AO([uB)={4r>0},Bn(CuA)={x|Î-1},.[An(CuB)]U[Bn([uA)]={x|x>0,ᡈCᫀ:D3.:;1]=24={1,3,5,7,9}ᑐ={1,2,3,4,5},ᑣY▢cdᑖ⊤NḄ$ᔠZ()A.{1,3,5}B.{1,2,34,5}C.{7,9}D.{214}Ê᪆:Y▢cdᑖ⊤NḄ$ᔠZ([uA)nB={2,4}.Cᫀ:D4.ᐰ$U={1,2,3,4,5,6},M={2,3},N={1,4},ᑣ$ᔠ{5,6}()A.MUNB.MCINC.(CuM)U([uN)D.(CuM)Cl(CuN)Ê᪆[uM={l,4,5,6},[uN={2,3,5,6},•(CuM)n([uN)={5,6}.Cᫀ:D

505.᝞YᡠNḄ▢cdᑖ⊤NḄ$ᔠZpr

51A.ACl(BnC)B.(Cb-A)n(BnC)C.enCu(AUB)D.Cn[u(Af!B)Ê᪆:ᵫ▢cdᑖᙠC,ᙠA,B=ᑣ▢cdᑖ⊤NḄ$ᔠZCḄ$=ÕZ[u(AUB)Ḅ$=ᓽZenCu(AUB).Cᫀ:c6.:;ᐰ$U={”eN|lW஻W10},A={l,2,3,5,8},B={l,3,5,7,9}^J([HuA)CB=.Ê᪆:ᵫ⚪Ü=ÝU={1,2,3,4,5,6,7,8,9,10},ᦑ[1^={4,6,7,9,10},ᡠ(]uA)nB={7,9}.Cᫀ:{7,9}7.ßàᐳ30á=ᐸ15áãäåᳫç,10áãäèéᳫç,8áêë⚗çíãä,ᑣãäåᳫçîãäèéᳫçḄáᦪI.Ê᪆(ï@)᝞Y=ᐰàºðñᡂ$ᔠU,ãäåᳫçḄñᡂ$ᔠA,ãäèéᳫçḄñᡂ$ᔠB,ᑣAABḄáᦪI15+10+8-30=3,ᡠãäåᳫçîãäèéᳫçḄáᦪI15-3=12.Uíãä8á(ïw)#ᡠáᦪIx,ᑣòãäèéᳫçḄáᦪI10-(15-x)=x-5.ᡠ15+x-5=30-8,ÊÝᡝ12.Cᫀ128.:;ᐰ$IR,$ᔠA={x|2a-22}#0,7AgCRB,.A=0ᡈA=0..A"=ᑣᨵ2-2<,ᡈ2-2.A=0=÷³ᨵ2a-2>a.,.a>2.=ø112-222,ùvᡠúᡈë2.Cᫀ:஻w1ᡈa>2

529.:;ᐰ$U=R=$ᔠA=3-57}.(4)᝞YঞIBIIC",-5057”YঞCuA={xô
5,ᡈý5},Bn(CuA)={x|57},Cÿ={ᜧ|-5,ᡈ5},
᝞টCMCMC-5057x@(CuA)n([uB)={x|-5,ᡈ7}.

53()(CuA)n([uB)=[u(AUB)={x|g-5,ᡈ#7}.

5410.$%ᐰ'U=R,'ᔠA={x|l—2},)BU(]RA)=R,Bn((RA)={X|0*<1,ᡈ24<3},+'ᔠB.,'A={x|lSr-},.[RA={X|X<1,ᡈx>2}.XBU([RA)=R,AU(CRA)=R./0AUB.1Bn(CRA)={X|0

55.\u(AUB)={2,4,8}.=ᫀ:{2,4,8}5.$%'ᔠA={x|0SE4},B=3y=x-3,-lSE3}^iJ[R(ACB)=.,᪆:A={x|O]4},B=3-4•0},.AnB={0},.(R(AnB)={x|xdR,^_0}.=ᫀ:{x|x6R,^*0}I789ᓣI1.$%'ᔠA=3-4M-2},'ᔠB={xb-஻N0}.(1))ACB=A.+aḄ`Abc(2))ᐰ'U=R,^AU(uB,+aḄ`Ab.,:(1):B={xda},eAC1B=A,.AUB.᝞ᡠg.a-4-3-2-10x.,.a<-4.(2)CuB={x|x8-2r).প+AUB;(2)+]R(ACB);ব)C={x|a-4Sr%+4},^A£[RC,+aḄ`Ab.,:(1)'B={x|3x-7>8-2x}={x|x>3},•AUB={x|x>2}.(2):AnB={x|3M6},

56•(R(ADB)={X|X<3,ᡈx>6).

57(3)ᵫ⚪[%Cr0,ᑣ(RC={X[X<4-4,ᡈx>«+4}.6ᡈa+4<2,,0a>10ᡈa<-2.ᦑaḄ`AbPa<-2ᡈa>10.

586ᦪḄoஹ᧜|1ஹ᧜Ḅᭆ4O'ᔠA,B,᝞ᢥ᯿ᑣ84'ᔠALḄoOᐗN,ᙠ'ᔠBLᨵoḄᐗN.᪵Ḅ(ᒹAஹB/)¡¢'ᔠAᑮ'ᔠBḄ᧜.¤¥8A—B.(1)(2)(3)(4)ᙠ§-Ḅ¨ᐵªL.(1)(3)«B᧜.(2)(4)B᧜.¬4᧜Oᭆ.®¯§°±¬জ᧜LḄO'ᔠAB/§Bᦪ'.¬'ᡈᵫ³´ᡂḄ'ᔠ§ᐸᐗNḄ'ᔠ.ঝ᧜BᨵᔣḄ.AᑮBḄ᧜¹BᑮAḄ᧜ººB«»¼Ḅ.ঞ᧜⌕+'ᔠALḄ¿oOᐗNᙠ'ᔠBLᨵÀ.1OÀBo¯Ḅ.'ᔠALᐗNḄ[ឋᙠ'ᔠBLḄᐗNḄoឋ᪀ᡂÃ᧜Ḅ᪶Å.ট᧜ᐕÇ'ᔠBLḄÈᐗNᙠ'ᔠALÉᨵÊÀ.ËÌBᵫÀ´ᡂḄ'ᔠCGB.ঠ᧜ᐕÇ'ᔠAL«¼ḄᐗNᙠ'ᔠBLᨵ»¼ḄÀ.ᓽ᧜Ð7B“Òo''ᡈ"oo”.«7B“oÒ|2.᧜ḄÖ©---᧜ØBooeBBÙÚḄ᧜.ঝᓫᢣÝ«¼ḄÞßàᑮ«¼ḄAḄᦪ஺ঞá᝞¿O/7ḄâãäᨵoOÞß᧜ᐸ-(ᓽâ'ᔠBLḄ¿OᐗNᙠALᨵoOᡈoO§-ḄÊâ).ᡈὅæAçᐗNᨵãäᨵoOÞß¹è஺

59I⚪
I——⚪
ὃp᧜rḄᭆtIé1.ê/:MfNB'ᔠMᑮNḄ᧜.°ᑡæS¯ḄB()A.ML¿oOᐗNᙠNLᨵÀB.NL¿oOᐗNᙠMLᨵÊÀC.NL¿oOᐗNᙠMLḄÊÀBoḄD.NKMLᡠᙠᐗNḄÀḄ'ᔠூ=ᫀ௃Aé2.ê'ᔠA={x|Oজ2},B={y|l

60ூ!ᫀ௃D$4.ᙠ᧜fLA—B&A=B={(x.y)|x,yCR},,/(x.y)—>(x-y,x+y),ᑣA&Ḅᐗ1(-1,2)ᙠ2ᔠB•&Ḅ()A.(-1,-3)B.(1,3)C.(3,I)D.(-3,1)ூ!ᫀ௃D6ஹ8ᦪ|1ஹ8ᦪḄᭆ;(1):=>(?ᐺ)A᝞CᙠDEᓄGH&ᨵJKELx,y,M,NOxᙠDKQᑁḄSTKUḄVᢥ᯿DKNYZᑣy[ᨵ\TUḄV]^NY_`yabxḄ8ᦪ.xcdeELxḄfVQcd8ᦪḄAg]xḄVNYḄyḄVcd8ᦪV8ᦪVḄ2ᔠcd8ᦪḄVg.(2):hiA(᧜)jA,B[bklḄᦪḄ2ᔠfbnAᑮBḄTKNYZᑣ_`AᑮBḄ᧜/A-BcdAᑮBḄ8ᦪ.pqy=fi.x),ᐸ&xGA,yGB.tḄ2ᔠAcd8ᦪ;(x)ḄAgt2ᔠCcd8ᦪ/(X)ḄVgCafi.(1)N8ᦪAḄyz{|Ḅ}ὃজ᧜8ᦪḄᐵ8ᦪbTᱯḄ᧜A-B,ᐸᱯឋ⊤2ᔠA,BᙳklḄᦪ2.ঝ8ᦪ/:AfBbᱯḄ᧜஺ᱯᙠAgA]VgB[bklᦪ28ᦪxḄᚖᨵTKᐳyᚖḄᐳᨵᨵK஺2ஹ8ᦪḄ⊤¡¢Z£:(1)ᑡ⊤Zᑭᵨ⊤§ᩭ⊤¡JKELḄ8ᦪᐵ.(2)tZᵨ8ᦪtᩭ⊤¡JKELḄᐵ.I⚪
I—⚪
uᦪv0I$1.M=(x|0<3)©ªᑡ«K¬ᐸ&⊤¡n2ᔠMᑮ2ᔠNḄ8ᦪᐵḄᨵ()

61Aஹ0KBஹ1KCஹ2KDஹ3K$2.jM={x|-2«2},N={y|(K2},8ᦪ/(x)ḄAgM,VgN,ᑣ/(x)Ḅt®b()ூ!ᫀ௃B$3.¯8ᦪy=f(x)ḄAgM={x\-2

62I⚪
I—⚪
uᦪ⊤<{5ᑡ⊤5I

63$1.X123321(1)/[/(I)]Ḅ°(2)¯=3ᑣx=°ூ!ᫀ௃(1)1(2)3$2.D±²³´µ5|ᦪ¶·¸ᐸ&T¹º¶Ḅᡂ¼᝞⊤ᡠ¡ᙠ¾K8ᦪ&AgbVgb.|ᦪ12345ᑖᦪ8588938695ூ!ᫀ௃Agb11,2,3,4,5},Vgb{85,88,93,86,95}$3.¿/(x)g(X)ᑖÁᵫ⊤©ªX1234X1234f(X)4321g(x)3142_`f[g(x)]=ூ!ᫀ௃X1234F(x)2413I⚪
I⚪
uᦪ⊤<{5:}5I$1.ᑡᔜ&Äb8ᦪ/(%)tḄb()

64ூ!ᫀ௃c$2.8ᦪy=/(X)ḄtÇxmḄÈKᦪ()A.ÉᦪB.ÊᨵTKC.TKD.ËTKூ!ᫀ௃C$3.¿8ᦪ/(x)Ḅt᝞ᡠ¡ᑣ8ᦪḄAgbVgb.ூ!ᫀ௃Agb31Vgb[-5,3].⚪
I——⚪
uᦪ⊤<{5n᪆5I$1.ÎT|8ᦪḄtG(1,0)](0,1),ᑣT|8ᦪḄÐ᪆Ò()A./(x)--xB./(x)=x-lC./(x)=x+lD./(x)=-x+lூ!ᫀ௃D$2.¿/(x)bT|8ᦪ2/(2)-3/(1)=5,2/(0)-/(-I)=1,ᑣ/(x)=()A.3x+2B.3ᐝT2C.2x+3D.2x-3ூ!ᫀ௃B$3.¿g(x+2)=2x+3,ᑣg(1)=ூ!ᫀ௃1

65Ö×6IØẠÚÛI1.ᑡNYᐵbnAᑮBḄ8ᦪḄKᦪ()(l)A=[-l,l],B={O}/x-y=O;(2)A={1,2,3},B={ᵬÞ}NYᐵ᝞জᡠ¡°(3)A={1,2,3),B={4,5,6}NYᐵ᝞ঝᡠ¡.:জ:ঝA.lB.2C.3D.0Ð᪆(1)NO2ᔠA&ḄTKàᦪx,ᢥ᯿NYᐵfx-)=O,ᙠ2ᔠB&[ᨵ\TUḄᦪ0^NY,ᦑb2ᔠAᑮ2ᔠBḄ8ᦪ°(2)2ᔠBÄbᦪ2,ᦑÄbAᑮBḄ8ᦪ°(3)2ᔠA&Ḅᐗ13ᙠB&ᨵNYᐗ1,A&Ḅᐗ12ᙠB&ᨵJKᐗ15]6âNY,ᦑÄbAᑮBḄ8ᦪ.ãäNYᐵ(1)bAᑮBḄ8ᦪᦑ⌱A.!ᫀ:A2.¿M=3-2W2},N={y|0Wé2},8ᦪê)ḄAgM,VgN,ᑣᐔv)Ḅt®b()JL.4-^202AB_JLtX-202xcDÐ᪆:A⚗&8ᦪḄAg[-2,0],C⚗&NT;ò[ᨵJKyVâNY,D⚗&8ᦪḄVgÄb[0,2],ᙳÄb8ᦪtᦑ⌱B.!ᫀ:B

663.¿8ᦪó)ᵫ⊤©ªᑣ13)ôO()XI

67g(x)65874ᑣg(/(7))=g(x)<7(x)Ḅ!"᪆:%7)=7,g(/(7))=g(7)=5.&x=4'«4)=5,g(4)=4,ᡠ)ᜧ4)>g(4),+,&x=5'-5)=4,g(5)=7,+,&x=6'<6)=8,g(6)=8,+,&x=7'<7)=7,g(7)=5,+,&x=8'-8)=6,g(8)=6,+,ᡠ)g(x)/0)Ḅ!"{4,7}.ᫀ5(4,7)I123ᓣI7.“6ᐢ89”;<=᪵>ᦑ?:⚞ᐜḄᐢBCḼEEFGḄH6IJKᩭṑN>O&P⏨ᩭ'RSH6TᑮVWNXYញ[\]^"'_H6`YᐜᑮaNVW.ᵨSIcS2ᑖe⊤fH6cᐢBᡠGḄghi"'j,s"ghᑣᑡlmnoᦑ?p⁚rsᔠḄY()ᫀ:D8,vwxḄᕜz"x,PḄ᜜|ᙊḄ~"y,ᑣ)ᐵXxḄᦪ᪆"0AY=2%X>0)4B.y=x(-X>0)

68(0

69᪆:vwx᜜|ᙊḄYPḄ"vwxḄz",ᵫᳮ(2y/=I(4Bitt.=ᵨ>,=2x(x>0).ᫀ:CII9.᝞lᡠf,ᵨz"IḄᡂ~ᑖ"x~ᑖ"~ᙊxḄ᪾xḄz"2x,¡¢᪾£ᡂḄlxḄ☢¥yoxḄᦪᐵ¦§ᢣᐸª«.:ᵫ⚪¢᪾Yᵫ>xc>~ᙊ®ᡂḄlx¯xḄAB=2x,°AD=”,ᑣᨵ2x+2a+xr=/ᓽa=i-&2%-²,ᐸn~ᙊḄ"2%,~"x.ᡠ)᪾£ᡂḄlxḄ☢¥³=%/+᪷¸¹▭ª2-AU-x>0,»x>0,0ÃÂÄ'ÅᡂÆÇ.ᐗ¯ÉÁÂ■■ËÂÄ'|ÌὑᡂÆ⌕ÏГᐗÑ12Ò¢ᖪÄÔ◤¡Ö"500Ë├ØḄᦈᐭᦪ"R(x)=5x—~2x(Ûᐗ)(0Ü5),ᐸnxYÂÄØḄᦪÖ(ᓫÞßË)(1)àᑭâ⊤f"ÔÂÖḄᦪ(2)ÔÂÖãä'¿ÀᡠḄᑭâᨬᜧæ(3)ÔÂÖãä'¿Àçè'êæ[5x-O.75x-O.5,xe0,5I[12-O.5x-0.25?,xe(5,+oo)(2)475(3)xG(10,4800)

70ø7;ùúᦪḄª«>ஹᦪª«üªýª«ᢣḄYXḄþÿ
ᐹᦪḄḄ⌕জᑖḄᑖঝᏔ᪷ḄᦪঞḄ"#ট%ᵨ⚪⌕(#)▭+⚪Ḅὃ⇋./01.12ᑏᡂ56ᡈὅ2ᔠḄ:2.;<=6>?2I⚪
I—⚪
᜻Ꮤ|{᪷CI@1.y-x-A/X-1ூCᫀ௃1Wx<3@2./(x)=Vx-l+A/1-7

71ூCᫀ௃X=1@3.f(x)=73x—1+A/1—2JC+4ூCᫀ௃l

72@3.f(x)=X+2.2x-x+\ூCᫀ௃XH-1VXW1V"[-2I⚪
I——⚪
|{CI10@1.]ᦪy=(2+X-1)ḄூCᫀ௃x2-----0/-------@2.]ᦪf(x)=3x-1)+ஹl—2x+4ḄூCᫀ௃x*IVx4132@3.ᦪy=Ḅ3ூCᫀ௃x#-1Va

73X1.ᦪ/'(x)=U-Ḅm.X-1ூCᫀ௃{XIX20,VXH1}2.ᦪy=Jl-xḄmூCᫀ௃(-2,1]3.ᦪy=^-2A-X2Ḅm.ூCᫀ௃[-3,1]V—4.ᦪvb’Ḅ()C.[-l,+oo)D.(l,+oo)Cᫀ:B5.ᦪy=J77T+—!_Ḅm2-xூCᫀ௃[-1,2)u(2,+oo)6.ᦪy=J%+1+ߟ—Ḅm2-x~ூCᫀ௃[-1,2)(2,+oo)7.]ᦪy=/bḄᵨ56⊤.ூCᫀ௃L4J./r]8.ᦪ/(x)=4-2%-7Ḅ()A.(—4,2)B.(—oo,—4)(2,+oo)C.[-4,2]D.(-oo-4][2,+oo)ூCᫀ௃A

74-1-x9.ᦪy=2?—3x—2Ḅm()j.A.(-oo,l]B.(-co,-)(-1,1]22_LC.(-co,2]D.(-co,-)(-1,1]22ூCᫀ௃DIᓣIx,+3x-10io.y=_________m.|1|TூCᫀ௃xN5ᡈx4-2(%+3)oii.y=-=~^m\________..Ix-xூCᫀ௃VxwOV12.ᦪ/(x)=-”0)ᑣ/(x)Ḅ.X3ூCᫀ௃x£aVx¢013.ᦪ£=ᨩ¥Ḅ()Jx+1A.[-l,+oo)B.[-l,2)u(2,+oo)C.(-l,+oo)D.(-1,2)o(2,+oo)ூCᫀ௃DI¦§cdI14.ᦪ/(x)=7mx+/nx+2ḄR,ᑣ)ᦪªḄ>«
ூCᫀ௃me[0.8]kx+715.᝞®ᦪ/(x)=¯2+4h+3ḄmR,ᑣ)ᦪkḄ>«
b3ூCᫀ௃[0,)4ax-\16.ᦪ)="1+4^+3ḄR,])ᦪaḄ>«
஺

7530b³ூCᫀ௃4´µ¶·¸ᦪ]I⚪)*+I——⚪)"34/U56789ᵨ;<Ḅ567@1.¹ᦪ/ºX³Ḅmº0,3,]+2%Ḅ.ூCᫀ௃—3g*56789AxḄ567

76@1./(x+1)Ḅ»b2,5½,]/(x)ḄூCᫀ௃»b1,6½@2.¾X?)Ḅ»-1,3½,]/(x)ḄூCᫀ௃»0,9½1@3.¿¿/(x-x)ḄÀ,3½]/(x)10ḄூCᫀ௃»2,—3½⚪
I—⚪
g(x))v0"C/জপ)Ḅv0@1./(2%+1)Ḅm»1,2½,]/(27+1)Ḅ஺ூCᫀ௃»ߟஹ2-1½ᡈ»1,72½

772%@2.ᦪ/(/-2)Ḅ[1,+oo),]ᦪ)ḄூCᫀ௃[-2,+oo)1@3./(x+1)Ḅ[-2,5],]/(b1+1)Ḅ--11ூCᫀ௃[20)ᡈᔆ5+°°)I⚪
I——⚪

ḄuᦪCv0@1.¹ᦪᐔÅ3)ḄmÆ5,-2],ᑣF(x)Å1)È.1)Ḅm.ூCᫀ௃I—5,-2][-1,0]@2.ᦪ/(X)Ḅm[-1,5],]f(2%-5)-/(x+1)Ḅ஺ூCᫀ௃[2,4]@3.¹ᦪÉ12%+1)Ḅm[1,2],]/(x)Ḅ.ூCᫀ௃[3,5]

7813@4.ᦪ./U)Ḅm»—2b2½]ᦪg(x)d(3x)+./(x)Ḅ.\1ூCᫀ௃1--6b2½I⚪
I——⚪
▭⚪Ḅv0@1.b᪷ÊËÌ20cm,ÍÎ
ᡂbÏÐ:ᐸÒbᩩÔmx,Í☢ÖSØxḄᦪᐵÚ%(20-2x)ூCᫀ½:s=_________.x(10-x)2@2.ÛÜÝÞßàᨵâã100äåæäãḄᨴÜèm3000ᐗêëᐰíÜÈ஺åæäãḄᨴÜèæîï50ᐗêðÜÈḄãÍñîïbä஺ÜÈḄãæäæᨴ◤⌕óôõ150ᐗðÜÈḄãæäæᨴ◤⌕óôõ50ᐗ஺(1)ஹåæäãḄᨴÜèm3600ᐗêÜÈö÷äãø(2)ஹåæäãḄᨴÜèmö÷ᐗêÜÝÞßḄᨴᦈúᨬᜧøᨬᜧᨴᦈúö÷øூCᫀ௃(1)ஹ88(2)ஹÜè4050ᐗêᨴᦈúᨬᜧm307050ᐗ

79-.8wuᦪḄv0IgẠijI1.¹ᦪy"x)Ḅ[0,2],ᑣᦪg(x)=^1Ḅ()A.[0,l]B.[0,l)C.[0,l)U(l,4]D.(0,l)ூCᫀ௃B/(2x)2.ᦪ/(x)Ḅm[3,6],ᑣᦪg(x)=ýþ+JZTḄ()35A.[1,2)B.[,2)C.[,2]D.[1,2]22ூᫀ௃C.3.ᦪḄ/(2x-l)Ḅ[0,1),!ᦪ/(I-3x)Ḅ2ூᫀ௃(0,#]34.ᦪ/(x+3)Ḅ[-5,-2],!'(x)=/(x+l)+/(x—l)Ḅூᫀ௃[-1,0]I*+,ᓣI5.ᦪ.x)Ḅ[0,3],ᑣᦪ_/(3x+6)Ḅ.ᫀ:[-2,-1]6.(1)ᦪ/(x)Ḅ3e(2,4),!ᦪ/(/+2)Ḅ(2)ᦪ/(/+2)Ḅxe(2,4),!ᦪ/(%)Ḅ(3)ᦪ/(/+2)Ḅxe(2,4),!ᦪf(x+2)ூᫀ௃(1)(«2,0)(0,7)ফ(6,18)(3)(4,16)7.ᕜ<=«Ḅ>?@ABḄ☢DSFG>?Ḅ#H

80A.(a,+oo)B.f,+8)c{,)D(,2)ᫀ:D8.MῪOP?ABCḄᕜ<10,QRH0}C.{.r|0

81l9⁚ᦪḄn᪆W1ஹuᦪḄn᪆#pᙢr@ᙠᦪy=Ex)s,@tᓽ⊤wxyz@MWy=«v)⊤{@xUsḄ|}ḄX=@ᙠxy~ᑣ'Ḅᵨ@ᓽᑮ=s#y=஺X@'t'"xy”gḄ~⌶@ὶVxyḄ@ᦪḄ᪶஺I⚪
I——⚪
ᐭ5Cuᦪn᪆1./(x)=x2+2%,!/(2x+1)ூᫀ௃f(2x+1)=4,+8x+322./(%)=xfx@!/(3ᑍ+1)ூᫀ௃/(3x+l)=3x+l+--3x4-13.ᓻ)=/
2%+5,!/(x-1)ூᫀ௃—1)=/#4x+8

82⚪
I—⚪
ᣚᐗ5Cuᦪn᪆1.f(x+1)=2x2+3x+1,!/(x)ூᫀ௃/(x)=2?-x2.f(A/JC-1)-X+2\/x,!/(x)ூᫀ௃/(x)=¡+4x+3(x>-1)3.¢£+1¤=/,!/¥X¤/x=2XX1ூᫀ௃¥3-1¤I⚪
I——⚪
᪀⌼5Cuᦪn᪆1.f(x+1)=2r2+3x+1,!/(x)ூᫀ௃/(x)=2%2-X

832./(x+-x)KT+x2@!/(x)ூᫀ௃f(x)=x2-2(x22ᡈx4-2)1133.¢f(x+x)+%3@!/¥X¤ூᫀ௃/U)=x3-3x(x>2ᡈx<-2)-.9uᦪḄn᪆1I¨Ạª«I1.Aᦪ¬)®<2x-1)=x+1,ᑣ43)=.ூᫀ௃¯2r-l=3,ᑣx=2,ᦑ±3)=2+1=3.2.Aᦪ/(2x+l)=/—2x,ᑣ/(3)=ூᫀ௃-13.ᦪ/(3X+1)=X23X+2,ᑣ/(10)=()+A.30B.6C.9D.20ூᫀ௃D4.A¬)=2%+3,g(x+2)/R),ᑣg(x)Ḅ⊤²W()A.g(x)=2x+1B.g(x)=2x-iC.g(x)=2x-3D.g(x)=2x+7ூᫀ௃'g(x+2)=7U)=2x+3=2x+4-1=2(±+2)-1,g(x)=2x-L5.ᦪᓻ)=2x+3,g(2x-1)=j{x-1),ᑣg(x+1)=.ூᫀ௃21/+³+3.

846.ᦪ/(x-l)=—,ᑣᦪ/(x)Ḅn᪆W(X+1AJ(x)=772BJ(x)=7^c.f(x)=IzlD./(x)=J_xx+2ூᫀ௃A7.¢=”+—5,ᑣ/(x)Ḅ⊤²W().2?A.x+6xB.x+8x+77oC.x+2x-3D,x+6x-10ூᫀ௃A8./¥1¤=·2+i,ᑣy¥x¤Ḅ⊤²W¥¤A.f{x}-x~+1B./(x)=(x+1)2+1C./(x)=(x-l)2+lD./(x)=x2¹ᫀ௃(T)=2-8+110-ூᫀ௃B9.2,ᑣᦪ22º4+5_10./(x+1)-x+2x,ᑣ/(x);ூᫀ௃f¥X¤=X-1¥X>1¤I*+,ᓣIA.Mi+B½C.¾D."11./ᓃ=x@ᑣy¥x¤=¥¤-11+1-ூᫀ௃B*?12./1=l+x,Àljj(x)=.12ூᫀ௃3-#+2.13.Aᦪ1#GÁÂᦪ@Q-1¤¤=-1,ᑣ஺Ḅ=ூᫀ௃a=l.

85

8614.ᦪÃ)ÄÅᦪ@Q/(-1)=2,ᑣ(x)=.ூᫀ௃¬)ºO15.yu)º.ᦪ,ᐸÇÈḄ⚔Êᙶ᪗(1,3),QÍÎÊ@!/U)Ḅn᪆W.ூᫀ௃ᓻ)=-3(x-l)2+3.5-----------------16..A¬)=2"QÏ)=2,ᑣ஻º.ூᫀ௃ᵫ|஺)=2¥=2,2a-5a+2=0,na=-2ᡈa=2.I`abcI217,ÒÓÔÕ4೙b=2-2,4ঞ+=(
)2,ᑣᦪ×¥)={_2)=2Ḅn᪆W()Ag)=Lℕ”0,2=2K£(-8V2152,+{J-C.fl,x)=-2H/(F¡-21U[2,+8)Dg)=Fq20)U(0.2]ூᫀ௃D18.ᦪ
x)=+(a,6Âᦪ@Q஺Ù0)®{2)=1,Ú
x)=xᨵ#n,!ᦪ
x)Ḅn᪆W@Ü!ᵨ(-3))Ḅ=.ூᫀ௃1.5+”..uᦪ¡E)="12.(1)!¬)Ḅ¡(2)A/(a)=2,!aḄ=;ব!Þ:/(1)=ᜐ).ூᫀ௃(1)3#±1}.(2)a=±33£(3)Þ{:ᶍ

87120.ᦪ¥¤=2-2,ᥤ=-¥+1¤¡!ᦪ¥¤Ḅ⊤²W@Ü!ᦪ¥¤Ḅ¡¥¤=â1IR,0ᫀூᫀ௃পR¡l10⁚!ᦪḄn᪆W2I⚪
I——⚪
ᑡ{¢£5Cuᦪn᪆1./(X)-2/(#)=3x+2,!/(x)2./(x)®2f(x)+/(#£)=3x,!/(x)/(x)=2%-_ூᫀ௃x3./(x)+2/(½O)=3x,!/(x)1+ä/(1)=(29)-xூᫀ௃1+xI⚪
I—⚪
¤vᦪ5Cuᦪn᪆

881.f(x)#.ᦪ@Q/(x)+/(x+1)=2x+1,!f(x)ூ=ᫀ௃/(x)=x2./(%)#.ᦪ@Q®3/(x+1)-2/(x-1)=2x+17,!/ಘூ=ᫀ௃/(x)=2%+73./(x)º.ᦪ@Q/(0)=-1,/(x+1)=/(x)-+2,!/(x)Ḅ⊤²Wூᫀ௃/(%)=-%2+3x-1I⚪
I——⚪
§¨©5Cuᦪn᪆1.ᙠR½Ḅᦪf(x)®f(x+y)=f(x)+/(y)+2AM(æye/?),/(l)=2ᑣ/(-3)=()A2B3C6D9ூ=ᫀ௃C

892.á/(x)R½Ḅᦪ@Q®/(0)=1,ÜQx|}gᦪxஹy,ᨵf(x-y)=/(%)-X2x-y+l)@!Ḅn᪆W஺ூᫀ௃/(x)=x2+x+1bc10ᦪḄn᪆W2I¨Ạª«I].3/(x)+/(-x)=2r2-x,!/(x)ூᫀ௃f(x)-0.5@-0.5x2.èᱥêë=Ḉ2+í+஺îÍ4(0,-5),8(1,-3),C(-1,-11)OÊ@!BḄ⚔Êᙶ᪗ïxðñ.ூᫀ௃f(x)=8x2-6x-53.º.ᦪḄÇÈḄ⚔Êᙶ᪗(-2,-3),QÇòÍÊ(—3,-1),!FGº.ᦪḄn᪆Wூᫀ௃f(X)=x+4x+lI*+,ᓣI4.Ièᱥêy=a/+/zr+cyñôUCÊ@⚔ÊM,õêCMḄn᪆Wy=-x+2,ÜQêÃCMḄ<2M@!XèᱥêḄn᪆W.1,1,ூᫀ௃fU)=-x--2x+3f(x)=x-2x+3#ᡈ_335.Àx)#.ᦪ@Q®3/(x+l)—2f(x-l)=2x+17,ᑣf(x)Ḅn᪆W஺ூᫀ௃f(x)=2x+76.#.ᦪ/(x)®/(/(x))=4x+9D÷øᦪf(x)Ḅn᪆W஺ூᫀ௃fU)=2x+3ᡈ/(x)=-2x-9I`abcI

907./(/(/(x)))=27x+13,Qù)#.ᦪ,!×r).ூᫀ௃f(x)=3x+lᙠR½Ḅᦪ/(x)®f(x+l)=2f(x)»Aúxû@f(x)=x(l-x)஺ᑣúxû,f(x)Ḅn᪆W஺ூᫀ௃@/(x)=-0.5x2-0.5xஹᑨ«¬uᦪLᑨ«v0zᔲH¬2.®n᪆¯°±ᓃ³I⚪
I—⚪
ᑨᦪ1.ᑡᔜW⊤wþ#ᦪḄ()X,#ÿAj(x)=■g(x)=x+lJC-1B./(x)=J?-1g(x)=x-1C./(஻)/ಘD./(x)=1g(x)=x♦1xூᫀ௃C

912.ᑨᔜᦪᔲ⊤ᦪ(1)/(%)=yl~x^,g(X)jT?%&rrஹII*1xNO,(2)f(x)=|x|,a)=

92?@ᦪḄBC.BC1.BCḄDEFGHyḄJBLMNᦪḄBC(ᦪBḄOᔠ)2QDᦪBCḄRᑣ:জ.Vᦪy7"(X)ᵨ⊤YZ[\]ᦪḄBCᢣ⊤Y_`ᦪyḄOᔠ;ঝ.Vᦪy=fCx)ḄbcZ[\]ᦪḄBCᢣbcᙠyefḄᢗhᡠ⌚kḄ`ᦪyḄOᔠ%ঞ.Vᦪy=/(x)ᵨm᪆oZ[\]ᦪḄBCᵫᦪḄDECqᐸstuᑣvQD஺3.?@ᦪḄBC:জ.xᦪy=kx+bḄBCyR,ঝ.{xᦪy=a?+u+cQa>0*4࠷-Z>,+8)kḄBCyy|yeRyHIL4a]ঞ.ᦪ>=0)xl4«JI⚪)*+I——⚪)"?@A9BᦪD71.ᦪy=JḄBC஺Xூᫀ௃&&02.ᦪy=3-7/xḄBC஺ூᫀ௃y(y<3)]3.ᦪyḄBC஺■Jx+i+i

93ூᫀ௃(0,1]I⚪)*+I——⚪)=EFA9BᦪD71.ᦪy=x2-2x+5,xḄBC஺ூᫀ௃[4,8]2.ᦪy=2->J-x2+4x(JCe[0,4])ḄBC஺ூᫀ௃[0,2]g(x)+x+4,x

94-.¸¹uᦪḄ©IẠ¡I1.ᦪy=]—2x+5,xe[0,3]ḄBC஺ூᫀ௃[4,8]2.ᦪ+2x-l(xeR)ḄBC_.ூᫀ௃[-2,+oo)3.ᦪy=—x2+2x+3,x6஺3]ḄBC()(A)(-00,4](B)[4,+oo)(C)[0,3](D)[0,4]ூᫀ௃D4.¦§Oᔠ¨={)a=1+R},N={y|y=x+R},ᑣMnN=()A.(0,1),(1,2)B.{(0,1),(1,2)}C.{=1,ᡈy=2}D.{y¯1}ூᫀ௃D5,ᦪ)'+*+1ḄBC஺R,Jூᫀ௃L2)I±&²ᓣI16.ᦪy=%2+1ḄBCூᫀ௃(0,1]7.ᦪ´x)=//2%+3ḄBCy______-

95ூᫀ௃஺2].Iµ¶·¸I8.ᦪy=_J—ḄBC71------+ூᫀ௃(0,1]9.¦§xw[0,l],ᑣᦪy=Jx+2-Jl-xḄBC().A.[0,1]B.C.*%W]D.[⍒-]ூᫀ௃D10.ᦪf(x)=ḄBC%Vx-lூᫀ௃[0,1)¼(1,+00)ᱯ¾¿uBCI⚪)*+I——⚪)"ᑨJKA9BᦪD71+X+x,91.ᦪy=2ḄBC஺1+xF131ூᫀ௃I]IL22J2.ᦪy=Á|ḄBC஺x+2x+2riiiூᫀ௃I]IL22J

962x+4x—73.ᦪ"22ḄBC஺X4-2x4-3*2ஹூᫀ௃*9ஹI⚪)*+I—⚪)=ᣚᐗA9BᦪD71.ᦪÂ=*+ஹ/5=1■ḄBC஺ூᫀ௃Ä1,+00)2.ᦪy=-X+2ஹW3+2ḄBC஺ூᫀ௃(-00,0Å,343.¦§F(x)=f(x)+2&2/(»,/(x)ḄBCy18]9Å]F(X)ḄBC஺*M111ூᫀ௃I]IL98J-.ᱯº{5C©IẠ¡I1.ᦪy=x+ஹ/l+2xḄBC;

971ூᫀ௃[——2]+°°È2.ᦪ/ÉÊÈ=2x++xḄBC.ூᫀ௃-2MÈ3.ᦪ2x+{ËḄBC%ூᫀ௃[2,+ooÈy=4.ᦪ——]ÉQOÈḄBC஺x+2x+2ூᫀ௃*ÌÍ]+:L2:I±&²ᓣI5.ᦪy=x+J2x—1ḄBC஺F11I>+°°|ூᫀ௃26.ᦪÎ=Ï-4-1ḄBC%3ூᫀ௃[,+8È47.ᦪy=2-4^74%ḄBCÉÈA.[-2,2]B.[1,2]C.[0,2]D.[-£Òூᫀ௃C8.ᑭᵨᑨÔo¿uᦪ*x2r+iÉx>0ÈḄBC.ூᫀ௃1,+8Ö׶·¸|9.ᦪy=x+ஹ/l21ḄBC.

98ூᫀ௃(-00,1]10.ᦪy=x+)/=ØḄBCூᫀ௃(-00,1]2x—2x+3911.ᑭᵨᑨÔo¿uᦪy=-2ḄBC.2,X-X+110ூᫀ௃yG(2,31

99ᐗ{xÚÛoḄmu.ᐗ{xÚÛoqᐸmu1.DEÜ᝞ox+Z?x+c>0(4>0)(ᡈQX+/?X+cVO(4>0))ḄÚÛoMNᐵßᐗḄᐗ{xÚÛo஺2.ᐗ{xÚÛoḄàÜoa^+bx+cX)2(஺>0)ᡈax+H+CVO(a>0)3.ᐗ{xÚÛoḄmOA,2ஹA/XTF-4tZcA—0\T/Ï2y=ax+Z?x+c>0ÉQ>0ÈḄbâ"MXiAV/X2r0x\YX2FoxXi=ᡝ-4ac27ãax+bx+c=YFX[=X2=--æᨵ`ᦪ᪷ÉQ>0ÈḄ᪷2a—4஻c2a2ax+bx+c>0XX2ᐰé`ᦪÉa>0ÈḄmOX10ÈḄmOX10(a>0)(ᡈax+bx+c<0(a>0))%(2)ñòAwAdac%(3)᝞ôAK),¿öax~+bx+c=O(a>0)Ḅ᪷%÷VO,¿öax+bx+c=O(a>0)æᨵᦪ᪷%(4)᪷øf⊤]QD¦ùᓄᡂàÜoḄÚÛoḄmOyRÚÛoḄmO஺---------

100I⚪
I—⚪
»ᓫᐗ|½¾Ḅn5I1.mᑡÚÛoO2+3JC—2r2<0%(2)x2-7x+6>0®x2-X-12<0ூᫀ௃x|x2)ூᫀ௃x/1ᡈx>6)ூᫀ௃3-30ঠ.3x2+16x-12>0ড.3x2-37x+12>0ூᫀ௃WeRூᫀ௃Rx<-6ᡈx>2}ூᫀ௃{x|x<]_ᡈx>12È33@.2x215x+7<0-x2+4x-4>0ত.X+2x-3>0%ூᫀ௃{x|-70ZU.-6x~-x+2<0Z3.-X2+2,x+320ூᫀ௃3-3᜛£1}ூᫀ௃{x-2ᡈ1}ூᫀ௃{x|-lM3}32

101I⚪
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