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2022ὃᦪᐰᔁ01(ᵨ)ᔁᑖ150ᑖὃ120ᑖஹ⌱#⚪(%ᜧ⚪ᐳᨵ8)⚪*+)⚪3ᑖ*ᐳ24ᑖᙠ+)⚪-.Ḅ01⌱⚗.ᨵ⚗45ᔠ⚪7⌕9Ḅ*:;<=⌱⚗>Ḅ?@ABCDᙠE⚪ᓱGHIJK)1.(2020L•NOPQR)Sᑡ<=Ḅ4()A.-(-21)<+(-21)B.-|-10-|>8-12132254C.-1-7-1=-(-7-1D.--<--131I3 65ூVEVAஹ• -(-21)=21,+(-21)=-21, • -(-21)>+(-21),ᦑ%⌱⚗┯[\BஹV-|-10i|=-10|, -|-104<8]ᦑ%⌱⚗┯[\23CஹV-I-7-1=-7-,-(-7-)=7-,3333-I-73V-(-7|),ᦑ%⌱⚗┯[\ஹ_=a*|c=£,6655ᦑ%⌱⚗<=\65ᦑ⌱D.2.(2020L•ᔡQR)iᡠkḄlmn*oK☢qrᑮḄit4()ூVEVoKuq41vut*wᙊ.ᦑ⌱D.3.(2020L•yPQR)Sᑡz{*|{<=Ḅ4()A.ai+di=(/'B.(2})3=6*Qa2*ai=a^D.(2a3)2=4a6ூVEVA.3+a3=2*ᦑ%⌱⚗ᔠ⚪\B.(24)3=8“6,ᦑ%⌱⚗ᔠ⚪\C.a2'a3=a5,ᦑ%⌱⚗ᔠ⚪\D.(2a3)2=4a6,ᦑ%⌱⚗5ᔠ⚪.
1ᦑ⌱D.4.(2020᧡•P᪥QR)a4N-x-1=0Ḅ1᪷*ᑣ-“3+24+2020Ḅw()A.2020B.-2020C.2019D.-2019ூVEV4Ḅ1᪷*a2-a-\=0,.".a2-1=a,-a2+a=-1.-a3+2a+2020=-a(«2-1)+a+2020=-a2+a+2020=2019.ᦑ⌱C.5.(2019L•GPQ)ᑮᙊḄᜧḄḄᔠ4()A.ᙊḄᑁB.ᙊḄC.ᙊD.ᙊḄᙊூVEV᪷ᙊḄIJᐵ*ᙊḄ4ᑮᙊḄᜧḄᡠᨵḄᔠ\ᦑ⌱8.6.(2020•a)ᦪ5,3,4,x,2,1Ḅ¡ᙳᦪ43,ᑣ£ᦪḄ¤4()A.-B.5C.10D.-636ூVEVᵫ¡ᙳᦪḄ¦§r(5+3+4+X+2+1)+6=3,Vrx=3\¤=[(5-3)2+(3-3)2+(4-3)2+(3-3)2+(2-3)2+(1-3)2]4-6=|.ᦑ⌱B.7.(2020•ᔡ)i*©t0ABeḄ⚔Aᙠx«K*8Ḅᙶ᪗w(1,2).®¯uOA,ᔣ±''³"©tOA8C,µ8¶ᙠy«ḄBḄIJ*ᑣCḄ·HCḄᙶ᪗w()A.(-1,4)B.(V3*-1)C.(-L2)D.(2,-1)ூVEV•••0ut048c4©t*8Ḅᙶ᪗w(1,2),.OA=\,AB=2,ᵫ⚪r48'=A8=2,0ut042'4¡¸0ut*OB'=yjAB'2-OA2=V22-l2=,B'C'=OA=1,
2¹CḄ·HCḄᙶ᪗wº-1,0»\ᦑ⌱A.8. 2020L•¼½QR»i*¾᪷¿ÀABAOÁ☠ᙠᜋCEK*Är/A8C=a,ZADC=Pᑣ¿ÀADÅ48ḄÆÇÈÉwº)Atana sinaD.SA.-----BtanfitanasinpcosaூVEVᙠRtZ\A3C* sinN45C=Ê*ᓽsina=Ì,AC.AB=------1sina^RtAADC+*VsinZ^C=-ᓽsin8Î,\AC.AD=sin^AC ADÑ,sina••-=)Ò=---JAB——sinpsinaᦑ⌱c.¹ஹC×⚪º%ᜧ⚪ᐳ8)⚪*+)⚪3ᑖ*ᐳ24ᑖ.◤⌕ᑏ.VEÚ*:ÛEᫀÝÞCᑏᙠE⚪ᓱGHIJK»9. 2020᧡•ßP᪥Q»⌕µᑖ§àá*ᑣxḄâHãxW4ூVEV⌕µᑖ§3ᨵá*äåX-4W0,x-4Vrx#4,ᦑEᫀwxW4.10. 2020L•yPQR»Ûæ⚗§ax2-4ax+4aç§ᑖVḄèé4aºê-2?ூVEVax2-=a(x2-4x+4)=a(x-2)2.ᦑEᫀw(X-2)2.
311.(2020•ëìP)íî1ᨴ31ñSᓤ*ᡃ᠄ᗐö÷ᙠ£øùúûüýþÿ ᑮ■⚗ᣎ8721000ᐗ.ᦪ8721000ᵨᦪ⊤!"8.7211()6.ூ)*),8721000=8.721X106.ᦑ*ᫀ",8.721X106.12.(2020•Ẇ□456)78+:Ḅ<=>:?.mz-l1-m2m+1m—1(m+l)(m—1)1=---m+1ᦑ*ᫀ",—.m+113.(2019C•☘E4FG)HIJKP'UCஹQ)ᑣS=T-2VWXYZ[:W—ᓝ1jxIz▲.ூ)*),•..IJK࠷Q)(y=(3k+l)x+2.k^3k+l,)ck=:e2:fgᦪy=kx-2"y=-3-2,:fgᦪ)j:k-2YZ[lஹmஹnW▲XYZ[:W▲.ᦑ*ᫀ":.14.p2020C•qr4FGsVজ>vIwxy'a,xyEFᢚ{ᡂVঝ()BFᢚ{ᡂVঞᑣVঞḄ/CFEḄᦪ>180°-3a.D4EDAEBFCBG\ஹBGFজঝঞDூ)*),.ZBFE=ZDEF=aZCFE=180°-Z£>EF=180°-a,f.ZCFG=ZCFE-ZBFE=180°-a-a=180°-2a,.ZCFE=ZCFG-ZBFE=180°-2a-a=180°-3a.ᦑ*ᫀ",180°-3a.
415. 2018C•4᪥FsV"ḄᑗP88ஹC%=6,PB=3,ᑣPC=12.ூ)*),AOvE,8E,AB,,PA"ḄᑗAZ£AP=90°,.ZEAB+ZPAB=()0°,>Ḅ¡/.ZABE=90°,ZE+ZEAB=90°,.ZE=ZBAP,NE=NC,:.NC=NMB,•:/P=NP,/\APB^/\CPA, APPB••fPCPA 63•(—=fPC6:.pc=n,16. 2020C•¢£¤FGsVAC>¥wA8CḄ¦§P>AC¨Ḅ:©ªZPᑖ¬43®3CḄᚖᚖ°ᑖ¬>®E,H¥wḄᕜv>12cm,☢³>6´2,ᑣµḄ
5¶>2cm.S&ABC=S&ABP+Sgpc=ABCD=p¸s••.A”*x12=3E**•+S3PC=2AB,PE+-BC•PE=3 a%2,/--x3xPF+-x3xPF=3,22o.PE+PF=3X-=2 cm,3ᦑ*ᫀ",2.mஹ)*⚪pº⚪ᐳ11¼⚪ᐳ102ᑖ)*½ᑏ¿À⌕ḄᦻÃÄÅஹÆÅZJᡈÈ7ÉÊs17. 2020C•l⍝4FGs7,⌨+g+|l-Í.ூ)*),S4+\/—8+11—\ÎI=2+p-2+V3-1=V3-1•18. 2020C•ÏÐÑFGs)IJ,-——l=1x-2᮱:4ூ)*),Óᑖµc,/+-8=᮱-4,)c,x=2,YÔÕx=2>Ö᪷ᑖØIJQ).19. 2019C•᠄ᑭÑFGs):ᐗ:fXÛØK5J?,-2,ᑏ¿ÜḄᦪ).ூ)*),Þ+523?2/ll-2x>3x0
6)XÛØজcXN-22)XÛØঝ*x<3...XÛØKḄ)":ß^x<~,25ᑣXÛØKḄᦪ)>-3,-2,-1,0.20.p2020•ᔡs2020â3ᨴ¨ᣴåFæ¼çஹ¼☟®¼é"ê)ᡠᙠ᪥íâ600îïðñòóIØô¦õ᪥íâöᑖïðñòóIØ÷øù᪵ûü.ðñòóIØᑖ"Apþÿ ஹBஹCᑁஹDEᐸ⌕!ὅ⌱$%&'(ᨬ*ᵨḄ-..01ᦈ3Ḅᦪ5678ᳮ;ᑴḄ=>⊤-.ABCDEAᦪ21331⊤3EFGHIJK60NOPQR-.=>⊤ᓫEA-.ABCDEAᦪ65261310᪷5VWᩞᧇZ[\ᑡ^⚪E1F`ஹF☟FGbAcd%eOJ᪵!Ḅᦪ5ghiᙢkmn᪥pqrOPQR-.stuv⌕wxᐸyeOJ᪵!Ḅz{|ᜐ.2᪷5bAcghiᙢkmn᪥pqrQR-.Ḅ!~>n᪥pqr600NOPcᑭᵨᑁ67-.ḄAᦪ.ூ[E1FGeOJ᪵!Ḅᦪ5ghiᙢkmn᪥pqrOPQR-.stF`eO!ḄᵱPzᐹᨵ⊤ឋF☟eO!ḄAᦪᐹᨵᱏ☢ឋstḄk᧕⌼ᡂ.2600x-=260A60[En᪥pqr600NOPcᑭᵨᑁ67-.Ḅᜧᨵ260A.21.2020•□□✂¢m“▅¥□✏§¨”ª%«ᑡ¬W¬\®ᔠḄ▅¥¢°
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8'AD//BC,.ZCEG=ZG=30°,VAE1BC,AD//BC,.ZEAG=90°ã/G=30°,.EG=2AE=4.23. 2020ò•óôõöB,yᙢ÷ᨵ%øùúḄûüýþêÿ 100%"7,Ḅᙢ◫ᙢ☢A ᙊ30? ḄᙊᑁḄᱥᨵᑖ8,"ᙢᜐ$%AḄ&'(*ᡠ,,./012ᔲ45ᑮᙢ◫Ḅ789:;<=>ᳮᵫ.BCDEFᑮ0.“?,ூIJIL*:4MAULBONC,AZACB=ZACD=90°,᪷P⚪RSTLZABC=45°,ZADC=30°,/.ZBAC=45°,.BC=AC,ᙠRt^ACZWtanZADC=CD"BD=BC+CD,.•.AC+V3AC=100,I%AC=50BV3-1=«36.6>30,./01X45ᑮᙢ◫Ḅ.24. 2019Y•[\]^_*A 5,2,BB`n /n<5ᙠabcdᦪ_=:Ḅ*h,
9MAC_LyiNC. 1jabcdᦪḄ⊤lm; 2opA8CḄ☢q 10,jBḄᙶ᪗.ூIJILB1_t•A 5,2ᙠabcdᦪuA*h,X10,...abcdᦪḄI᪆m y=§(2)ᵫ⚪RLlx5X(n-2)=10,2>»H~6,•••806) 25. 2020•⊞|}~_Ḽᑁ%ᑮᑴ᠒᠒Ẇᩭ15ᜩᑁᦪyxḄᐵ⊤¡¢ἠzx¤¥ᙠ*ᡠ,Ḅ¦§dᦪᐵ.B1WXW15,¬x ᦪ_XBᜩ_14710 ᦪyB_310340370400 8Cᔠ¯°±I²ᑡ´⚪L 1µ¶ᑏ¸LᐵNxḄdᦪᐵm2y=10x+300 14xW15,¬x ᦪ_.zxdᦪᐵm2z=-x+50B1WXW15,ᨴ.x ᦪ_. 28⚜$ᩭ15ᜩW»¦ᜩḄ¢ἠᦈᐭᨬ¿ᨬ¿2¿À7B3 ÁÂÃÄᢙƲÇᜩÈ%Ḅ¢ἠᦈᐭWɸ3000ᐗᣎÌÍÃÄÎᓝÐ4jᣎÑÒᐳᨵÔᜩᜩᒕÖ¢ἠᦈᐭX×N12960ᐗ7
10ூIJIL(1)ÙXஹyÜdᦪ⊤lm Ly=kx+b,Ý(1,310)x(4,340)âᐭm,%ᩩI%ä=2ᦑxஹyÜḄdᦪ⊤lm Ly=10x+300(1WXW15,¬x ᦪ)ÙzஹxÜḄdᦪ⊤lm Ly=mx+n,Ý(1,49)ஹ(15,35)âᐭmêI%LzஹxÜḄdᦪ⊤lm Lz=-x+50(1WXW15,¬x ᦪ)ᦑJᫀ Ly=10x+300(1WXW15,¬x ᦪ)z=-x+50(1WXW15,¬x ᦪ)(2)ÙíxᜩḄ¢ἠᦈᐭ w,ᑣð=u=(lOx+300)(-x+50)=-10(x+30)(x-50),V-10<0,ᦑwᨵᨬᜧö÷x=t(50-30)=10ðḄᨬᜧö 16000,2ᦑᩭ15ᜩWí10ᜩḄ¢ἠᦈᐭᨬ¿ᨬ¿216000ᐗ(3)ᵫ(2)TíxᜩḄ¢ἠᦈᐭw=-10(x+30)(x-50),ᑣw-3000212960,I%L8WxWফᦑí8,9,10,11,12ᜩᐳ5ᜩᒕÖ¢ἠᦈᐭX×N12960ᐗ.26.(2020Y•û|]^)*üTýᱥþ>=ÿ++c(#0)xA(1,0)8(-3,0),yC,OC=OB.(1)CḄᙶ᪗!"ᱥ$Ḅ%᪆'((2)*E,-./▲"ᱥ$123456BE,CE,BC,aBCE☢9Ḅᨬᜧ<((3)Pᙠ"ᱥ$Ḅ?@14*$ABCP⌮E┐GH90°K4AḄ?LA'ាOPQᙠ!"ᱥ$14RḄᙶ᪗.ூ%T%V(1)("ᱥ$)4=4/+X+,(a#0)x4(1,0)B(-3,0),.OB=3,
11•OC=OB,.0C=3,••c~~3,.(a+b+3=0*'l9a-3d+3=0'%ZV[.;4...ᡠ"ᱥ$%᪆',Vy=-/-2x+3,C(0,3).(2)_2,56BC,`EaEFLF,bE(a,-a2-2«+3)(-312jᐭy=-x1-2x+3ZVm+2=-2-2"-1+3,%ZV?=1,m=-2(mn)4ঝcp<0E4⌕rPM=P2A24ᵫ_tuA28vᔠ,,.•x4R242=90°,.MP=MA=2,2B(-14-2)..•.yzᩩ|ḄPḄᙶ᪗,P(-l,1)ᡈ(-1,-2).27.(2020~•ᜧ)(1)_1,ABCDDEFG(ᐸhAB>DE),56CE,AG674H,6ᑏ$AAGCEḄᦪᐵ,ᐵᚖ((2)_2,A8CQOEFG,AD=2DG,AB=2DE,AD=DE,OEFGC⌮E┐GHa(0°G=6,AB=2Z)E=8,OEFGC⌮E┐GHa(0°132ூ%T%V(1)_1,ᙠABCDDEFGh,NADC=NEDG=9Q°,NADE+NEDG=ZADC+ZADE,ᓽZADG^ZCDE,VDG=DE,DA=DC,./\GDA^AEDC(.SAS),.AG=CE,ZGAD=ZECD,■:NCOD=NAOH,.ZAHO=ZCDO=90a,.AG±CE,ᦑTᫀ,V4ᚖ((2)ᡂ4CE=2AG,AGLCE,ᳮᵫ¦:_2,ᵫ(1)u4ZEDC=ZADG,'AD=2DG,AB=2DE,AD=DE,
14.DG_1DE_DE_1'AD~2CD~AB~2.DG_ED_1*AD~DC~2'.iGDA^AEDC,ᓽCE=2AG,DCEC2:AGDAsAEDC,,.ZECD^ZGAD,:NCOD=NAOH,ZAHO=ZCDO=90a,\AG_LCE((3)জcEᙠ$AAG1E4_3,ᙠRtZ\EG£)h4DG=3,ED=4,ᑣEG=5,`DaDPLAGP,•8NDPG=NEDG=90°,NDGP=NEGD,.,.iDGP^AEGD,,DGPGPD¨©3PGPD••---=---=—,K|J-=---=—EGDGED534.PD=PG=~,55ᑣAP=y/AD2-PD2=J62_«)2=-4ᑣAE=AG-GE=AP+GP-GE=9+--5=6>2—-(555ঝcGᙠ$AAE1E4_4,
151H)E_4`DaDPLAGP,■:NDPG=NEDG=90°,NDGP=NEGD,¬ᳮZVPD=AP=^,55ᵫ®¯ᳮZVPE=J42_(£)2=°,ᑣAE=AP+PE=±+-=6V2I+"(555²14AEḄ,³´.5