2022-2023学年广东省韶关市中考数学专项提升仿真模拟卷（一模二模）含解析

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2419.᝞4ᙠ`☢¯°ᙶ᪗YxQy"µᦪ¶=¸+6(%*0)Ḅ4ÀÁÂõᦪy=(஻?#0)Ḅ4ÀÇovÈஹÀ▲ᑁḄ2xËÇoC,8Ḅᙶ᪗(6,஻),4ÍÎ஺4=5,ExËÒÓË='ÔsinN/OE=—.(1)ÛNÁÂõᦪµᦪḄ᪆\L(2)ÛÜZOCḄ☢ÞL(3)¯àᑏµᦪbᜧoÁÂõᦪbk¸áâxḄ&bä.2ூåæ@ᫀ௃(1)y=--x+2(2)6L(3)x<-3ᡈ0

25.OD=NOA2-AD஺=3,4-3,4),ni;/./(—3,4)=ᐭy=2?m=—3x4=—12,x12••ᦪḄ᪆BCy=—-Dx12;8(6,஻)=ᐭF=—-?x6஻=-12,HI?஻J22,..5(6,-2).;4(23,4)ஹ5(6,-2)ᑖM=ᐭFJN+6?-3k+6=4k=?J3,<6k+b=-2b=2...ᦪḄ᪆BCV=-1x+2D2(2)Py=O0Q—]X+2=0,?x=3,ᑣC(3,0),S.——OC,AD——-x3x4—6DMOnCc22(3)Px<-3ᡈ0

26(1)klj`DEFGma`D(2)noCE+CGḄmᔲCqrsmtkuvqDswᨵmtyzᳮᵫ:(3)}AE=x,^_`DEFGḄ☢CS,kSxḄᦪᐵB.ூaᫀ௃(1)lz᪆(2)4,(3)S=x2-4x+8.ூ௃⚪ᑖ᪆পஹb?IEN=EM,ᯠᑨNDEN=NFEM,?ᑮDEM^^FEM,ljᨵDE=EFᓽD(2)ஹ(1)ḄUᑨ4ADEZ:\CDG?CG=AE,ᓽCE+CG=CE+AE=AC=4Dবஹᵫa`Ḅឋ?ᑮNDAE=45஺⊤WAM=EM,⊤WDM,ᵨqᳮkDE?.⚪᪆(1)ஹ᝞EM_LBC,EN1CDGH.*.ZMEN=90",D%Ema`ABCDHbḄ%EM=EN,VZDEF=90°,.\ZDEN=ZMEF,rZDNE=ZFMEᙠDEMaFEM0.EN=E%.'.DEM¡FEM,D.EF=DE,:^_`DEFGmZDEN=ZFEMj`j`DEFGma`D(2)ஹCE+CGḄmqqC4,I•a`DEFGa`ABCD,ADE=DG,AD=DC,VZCDG+ZCDE=ZADE+ZCDE=90°,AZCDG=ZADE,AAADE^ACDG,AE=CE.CE+CG=CE+AE=AC=0AB=x2-fl=4>424⚓/847⚓

27•,a`ABCD0AB=2£AAC=4,$%EEMJ_AD,AZDAE=45°,VAE=x,FAB/.AM=EM=2Llx,ᙠRtZ\DME0DM=AD-AM=2-x,EM=¤x,᪷¦qᳮ?DE2=DM2+EM2=(2,yj--x)2+(§x)2=X2-4./JX+8,■4b,/^_`DEFGCa`.*.S=Sa¨DEFG=DE2=X2-4,/jx+8.ὃ%^_`ªᔠ⚪2022-2023ḕᐵὃᦪ⚗ᓣᔁ(I)⌱⌱(ᐳ10/⚪0Lᑖ40ᑖ01/⚪4ᑖ)1.¬ᑡ®¯0aḄm()A.(a-3b)(a+3b)=a2-9b2B.(-3a)2=6a2C.Fa+A/2a=V5aD.a3«a2=a62.°᪥²³C´µᙢ·ᣎ¹h¬m5º°ᣎ¹Ḅ»ᦪ2,2,3,4,9.ᑣu¼ᦪ¦Ḅ0½ᦪ¾ᦪᑖMm--------------------------(♦)A.22B.42C.23D.323.]Z%Pi(a-1,5)•P(2,b-1)ᐵ,x+¿ᑣ(a+b)2஺13ḄC()2A.OB.-1C.1D.(-3)20,14.¬ᑡ`0¿`ᨵ()4个D.425⚓/847⚓

285.ᵨÀᑖMC5,7,9,13Áᓫ½ᔖÄÅḄ^ÆᩈÈC_᤮¤H`᤮wᨵḄ¤H`ḄvᦪCÁÅA.1vB.2vC.3vD.4v6.sᐵ,xḄ2ᐗJËÌ
k-1x2-
2k+lÅx+k=OᨵÍvwᨵÎÏḄÐᦪ᪷ᑣkḄmÁÅ,1,1L,11A.k>——B.k>——Òk,lC.k<——D.k>——Ò8888kW27.,ᦪÓ2¬ᑡyḄmÁÅxA.%
2,-1B.½,4Jஹ^▲C.m¿`D.Px<0yÕxḄÖᜧ×Öᜧ8.᝞m2vaØḄ⊤☢³²ᑣÙaØ0“°”ÜᡠᙠḄḄ☢᪗ḄÜmÁÅ9.ßZà/8CD0ZA=4ZB,áâNCÏ,ÁÅA.36°B.45°C.135°D.144°10.᝞ãJËᦪ᜛=å2+æ+cÁ஻çÅḄ᝞ᡠWáâ¬ᑡwᨵÏBᡂéḄmÁÅA.a>0B.b<0C.ac<0D.bc<0J.êë⚪Áᐳ8í⚪îᑖ32ᑖïí⚪4ᑖÅ11.PÍᦪðñḄC0.426⚓/847⚓

2912.᝞òbó஻D7,hòbçḄ%ACᙊõ〉PÀC÷øùúᑖMfòbçW,%BஹC,deBC,sNl=30஺
ᑣN2=_____.14.
1062.ᦪ10620000ᵨᦪ⊤"—.15.᝞&
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,-ABḄ1226,4CD_LAB7AB8E,:OE=5,ᑣCDḄ1;,:NB=35°,ᑣNAOC=.16.⌕?ᑖA-dBCD1D2EᨵGH,ᑣxḄJKM2yjx2-2x-Jx+4yjx2+x-2-217.ᵬஹSஹT3UVWX᣸ᡂD᣸[᯿
ᐸ+ᵬ᣸ᙠ+^Ḅᭆ᳛2.18.b■Ḅdᦪeᑖ2.&.()⚪ᐳ8/⚪0Lᑖ78ᑖ19.ghtan450+V27-(72-2016n0-4cos30°.x—1>2©20.tuᨵvAw

30(W)uᨵvAwḄt.21.᝞&(1),AB=CD,AD=BC,஺AC+
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31⌱⚗⚣ᦪ⚣᳛A10mBn0.2C501DP0.4E501᪷þùútÀᑡ⚪(1)Ḅᨵ(2)⊤m,n,pḄ⊡ᐰᩩ(3)ᨵ800ᐰ᪥ᑭᵨ$%&ᱥᡈ)*+Ḅᐳᨵ᪷./0123᝞5ᔠᳮ8ᵨ$%9:;Ḅ<ᩩ=>.24.ᙠA“ᨵᳮᦪḄDE”GHIJKᔜMᔜ⌱:5Oᡂ

3226.᝞a஺஺ḄCDᑗ஺஺C,4cIᑖND4B,AD1CD.2022-2023ḕᐵὃᦪ⚗ᓣᔁ(I)<.⌱<⌱(ᐳ10¡⚪¢ᑖ40ᑖc¡⚪4ᑖ)1.XᑡDE¤¥Ḅa()A.(a-3b)(a+3b)=a2-9b2B.(-3a)2=6a2C.y/3a+y/2a=y/5aD.a3*a2=a6ூ¤¥hᫀ௃A30⚓/47⚓

33ூ©ª௃Aஹa-3bGa+3b°=a2-9ft2,ᦑ·⌱⚗¤¥;Bஹ-3a°2=9a2,ᦑ·⌱⚗┯¼CஹV3a+y/2«=VJ+V2°a,ᦑ·⌱⚗┯¼Dஹa3*a2=a5,ᦑ·⌱⚗┯¼.ᦑ⌱A.2.᪥ÄÅtÆÇᙢÉᣎË/Xa5ÍᣎËḄÎᦪ2,2,3,4,9.ᑣOᦪ.ḄÐᦪÑÒᦪᑖfa-------------------------♦°A2Ñ2B.4Ñ2C.2Ñ3D.3Ñ2ூ¤¥hᫀ௃Dூ©ª௃Ó¡ᑮᜧ᣸ᑡ×ᦪ.t2,2,3,4,9.ᦪ.2:ØrÙÚtÒᦪ3Ða3,ᦑÐᦪt3.ᡠ/·⚪Oᦪ.ḄÐᦪa3,Òᦪa2.ᦑ⌱D.3.Û[Pia-1,5°•ÑP22,b-1°ᐵxiᑣa+b°20"Ḅt°A.0B.-1C.1D.-3°2011ூ¤¥hᫀ௃Bூ©ª௃•.•P13-1,5°ÑP22,6-1°ᐵxi,a-1=2,h-1=-5,ᓽa=3,b=-4,.Na+bG20li=-\.ᦑ⌱B.ç·⚪è⌕ὃërᐵxஹyiḄḄᙶ᪗✌ᐜ᪷.Ùᐵxiᑣïᙶ᪗kᨵðñᙶ᪗òtóᦪjaஹbḄôY<õ᪷.öDEḄឋøª.4.Xᑡiᨵ°31⚓/47⚓

3494♦6A.1QB.2QC.3QD.4Qூ¤¥hᫀ௃Bூ©ª௃ªQaiúQkᨵaiûQaiüQkᨵai.ᦑᐳ2Qi.ᦑ⌱B.5.ᵨýᑖft5,7,9,13ᓫÐᔖ
Ḅᩈ᤮᤮ᨵḄḄᦪ
A.1B.2C.3D.4ூᫀ௃Cூ௃জ5,7,9᤮ᡂ"ঝ5,7,13V5+7=12<13,ᨵ᤮ᡂ"ঞ5,9,13᤮ᡂ"ট7,9,13᤮ᡂ"ᡠ$$᤮ᨵḄḄᦪ3.ᦑ⌱C.()*+⚪ὃ./ᩩḄᐵ2*34567ᜧ9:3456;<9:=>ᓽ.6.@ᐵ9xḄAᐗCDEFk-1
x2-2k+l
x+k=Oᨵ5ᨵGHḄIᦪ᪷ᑣkḄLMOP
A.k>—B.k>—Rk,lC.k<ߟߟD.k>——H888-8:32⚓/U47⚓

35k7ூᫀ௃Bூ௃•••ᐵ9xḄAᐗCDEF(^-1)x2-(2k+l)x+Z0ᨵ5ᨵGHḄIᦪ᪷-(2&+1)]2-4(4-1)[8\1>0,ᓽ8HI>0,]^ு--"8`1W0,•••%ḄLMOP*Rbc.8ᦑ⌱B.():+⚪ὃ./AᐗCDEFax2+foc+c=0(a#))Ḅ᪷Ḅᑨfgh="-4ac*kA>0AᐗCDEFᨵ5ᨵGHḄIᦪ᪷"kA=0AᐗCDEFᨵ5GHḄIᦪ᪷"kh<()AᐗCDEFᨵIᦪ᪷.27.n9opqrᦪsAtᑡvḄP()xA.wx((2,-1)B.wxy9:Cஹx▲C.wxPn|wD.kx<0y}xḄ~ᜧ~ᜧூᫀ௃C2ூ௃A┯"A=1W—1"B┯"pq2ᦪ2>0,wxy9ஹx▲;C.wᐵ9(22ᡂn|"D┯.—2<—10,----2;ᦑ⌱c—18.᝞wPAEḄ⊤☢wᑣE“”ᡠᙠḄnḄ☢᪗ḄP():33⚓/U47⚓

36ூᫀ௃Cூ௃•.•EḄ⊤☢wGnḄ☢6AG◞AE...“P,“,PGn☢““PGn☢“ᡃ”“”PGn☢.ᦑ⌱C.9.஺488/CH9
A.36°B.45°C.135°D.144°ூᫀ௃Dூ௃1•P¡\,AZ/l+ZS=180°,N/=NC,`¢4=4/8,.ZA=i44°,ZB=36°,AZC=144°.ᦑ⌱D.10.᝞£CDrᦪ¤᝞2+&+'
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A.a>0B.b<0C.ac<0D.bc0,c>0.ac<0.ᦑ⌱cC.®⚪ᐳ8<⚪°ᑖ32ᑖ²<⚪4ᑖ
11.k5ᦪ³´Ḅ70.ூᫀ௃µGoᦪ:34⚓/U47⚓

37ூ௃k5ᦪµGoᦪ³´Ḅ70.12.᝞w¹º»஻஻$¹º»Ḅ(Aᙊ¿〉kÁÂÃÄÅᑖfƹºÇ஻9(8ஹC,ÉÊ/CஹBC,@Nl=30஺ᑣN2=ூᫀ௃75°ூᑖ᪆௃ᵫ¹º»//஻]ᑮN&4C=N1=30஺ᯠb᪷=HῪ$×ᑁ7ᳮÚNZ3CḄÜᦪÝÞß¹º»//஻]ᑮN2ḄÜᦪ.ூ௃*•••¹º»஻”.ZBAC=Z\=30°,ᵫ⚪4AB=AC,.ZABC=ZBAC,.AABC=\(18O°-Z^C)=y(18O°-3O°)=75°,•¹º»஻"N2=NZ8C=75஺ᦑᫀ75°.+⚪â⌕ὃ./¡\ºḄឋå$×Ḅᑁ7ᳮæçèé5¹º¡\ᑁ┯GHP⚪Ḅᐵê.13.ᑖëg*x2y-xyl.ூᫀ௃xy(x-y)ூ௃g=xy(x-y).ᦑᫀAy(x-y).14.=íîïðñòóôõö1062øô.ᦪ=10620000ᵨúûᦪü⊤¦—.ூᫀ௃1.062X107:35⚓/U47⚓

38ூ௃¨⚪᪆*ᦪ=10620000ᵨúûᦪü⊤¦1.062*107,ᦑᫀ1.062X107.()*úûᦪüḄ⊤¦gaxICTḄgᐸi|a|io,n᦮ᦪ.nḄ⌕ᦪᡂaᦪnḄᦪḄᦪ.ᦪ1nᦪᦪḄ1nᦪ.15.᝞ᙠ஺O"#$ABḄ%26,&CD_LAB'AB(E,)OE=5,ᑣCDḄ%+,)NB=35°,ᑣNAOC=_______.ூ.ᫀ௃জ.24,ঝ.70஺.ூ23௃#$N8Ḅ%26,r.oc=i3,P,OE=5,᪷567ᳮ9:C£=7132-52=12,᪷5ᚖ$ᳮ<:CE=ED=12,.CD=24,=>OD,ᑣZAOD=ZAOC=2/ABD=70஺.ᦑ.ᫀ,24,70°.16.⌕@ᑖB2^3^^D4Eᓰ2—X—2GᨵIJ,ᑣxḄLNyjx2—2x-Jx+4yJx2+x—2—2ூ.ᫀ௃O=-4ᡈOS4.T36⚓/W47⚓

39ூ23௃XXYZজX2+2X20ঝlx-420@x2-2xN0টx+420ঠJx?-2xwJx+4@x2-x-2,0ঢd+x-2^0ণ+x_2#2,fg39:জxW-2ᡈxh0ঝxW-4ᡈx24ঞxWOᡈx22ট-4:ঠxW4,xW-1ডxW-1ᡈx22ঢxW-2ᡈxhlণxW-3,xW2,.,.kᔠm9x=-4ᡈx>4.ᦑ.ᫀ,n-4ᡈx>4.o:p⚪ὃsᑖBEtg᪷BᨵIJḄᩩvᑖBᨵIJḄᩩvᑖwxᨵy(0,tg᪷BᨵIJḄᩩvz{|Bᜧ(~y(0.17.ᵬஹஹ3᣸ᡂ᣸᯿ᐸ"ᵬ᣸ᙠ"Ḅᭆ᳛.ூ.ᫀ௃-3ூ23௃ᑡᡠᨵᵬ᣸ᙠ"ḄᓰᡠᨵḄᓽ,ᡠḄᭆ᳛.᪷5⚪Iᑡᵬஹஹ᣸ᡂ᣸᯿Ḅᡠᨵm:ᵬᵬᵬᵬᵬᵬᐰ6ᨵ2ᵬᙠ"ᡠᵬ᣸ᙠ"Ḅᭆ᳛$=—.63ᦑ.ᫀ,3T37⚓/W47⚓

40o:p⚪¢⌕ὃsᑡ£ᭆ᳛ᵨᑮḄ<¦,:ᭆ᳛y(ᡠᦪWᦪ§¨ᐵªᑡymḄᡠᨵ.18.6'Ḅᦪᑖ.ூ.ᫀ௃V21-4ூ23௃•²,42<(^)2<52.4<᝞<5/.V21Ḅᦪᑖত-4ᦑ.ᫀ,"■-4.p⚪ὃsºᳮᦪḄ»ᐜ᪷5½¾¿|᪷ḄIJ»½ÀḄ᦮ᦪᑖÂᵨ⊟■ÄÅÆḄ᦮ᦪᑖᓽÆḄᦪᑖ..3.⚪(ᐳ8⚪Yᑖ78ᑖ)19.ɽ:tan45°+V27-(72-2016)0-4cos30°.ூ.ᫀ௃V3ூ23௃Ó⚪ᑖ᪆:⚗᪷5ÖḄᑗØᦪɽTt⚗27ᑖ3ᡂ9x3,᪷5tg᪷BḄឋÛᓄÝT⚗᪷5ÞßᦪḄßg|y(ßɽTà⚗᪷5ÖḄá&Øᦪɽᯠãᑖäᔠåæ⚗Eætg᪷Bɽ.3:B=1+36-1-4x3=62x—1>2জ20.3xᨵyBè^é⚪Iêëìᡂp⚪Ḅ3..(I)3xᨵyBজ9(II)3xᨵyBঝ9(III)xᨵyBজEঝḄ3îᙠᦪïð⊤òᩭ.012345^(N)xᨵyBèḄ3î,.ூ.ᫀ௃(I)x>3(II)x<5(III)õ3᪆(W)3

41ூ23௃3:(I)3xᨵyBজ9:x>3(II)3xᨵyBঝ9:x<5(III)xᨵyBজEঝḄ3îᙠᦪïð⊤òᩭ.(IV)xᨵyBèḄ3î,3?@ᑨB*Ḅ“SSS”FGHIJ(?I,ᵫᐰ=ḄឋNGZDAC=ZBCA,FON£)஻8C,᪷;TUḄឋNGHN1=N2X(2)(3)Y(1)ḄOZ[ᐰ\᪵.ᐜOJZOCgZXCBZGᑮᑣD4஻5C,ijN1=N2.ூ57௃OkZ1N2l=.ᙠ4ADC4CBA*!AD=BC

42.\ZDAC=ZBCA.X.DA஻BC./.Z1=Z2.ঝঞ@zᳮFO!Z\ADC{Z\CBAG|J/DAC=NBCA,ᑣDA஻BC,Z1=Z2.22.᝞!(3,)!8(-2,-3)YᦪḄḄ.(1)N8YᦪḄ7᪆X(2)!ᑏHx!48ᙠḄX(3)ᦪḄᔲ¢ᙠC,£GḄ☢¥=¦J043Ḅ☢¥᝞§&ᨵ¢ᙠ!ᳮᵫX᝞§¢ᙠ!Hᩩ%ḄᡠᨵCḄᙶ᪗.ூ012ᫀ௃(1)y=9,y=x-1X(2)x<-2ᡈ0

43ூ57௃7k(1)¯ᦪ7᪆®Ã=Ä!XÅB(-2,-3)²ᐭ!FGk=-2x(-3)=6,...ᦪ7᪆®y=9XXÅA(3,m)²ᐭy=9,FG3m=6,Xᓽm=2,AA(3,2),¯ABḄ7᪆®y=ax+b,2=3஺+6ÅA(3,2),B(-2,-3)²ᐭ!FG<—3=—2a+ba=17GV,!ABḄ7᪆®y=x-1X(2)ᵫ⚪FG!xkÍீ-2ᡈ0ீ*ீ3!ABᙠḄX(3)¢ᙠC.᝞ᡠÐ!»¼A0¦C௃!•,AC1ᐵ¦¾¿À!AAO=CiO,AAOBCiḄ☢¥=¦AOABḄ☢¥!Ò!CiḄᙶ᪗®(-3,-2)X᝞!CiÁBOḄTU!¦C2,ᑣJOBC2Ḅ☢¥=¦JOBGḄ☢¥,•••JOBC2Ḅ☢¥=¦^OABḄ☢¥!3ᵫB(-2,-3)FGOBḄ7᪆®y=-x,23F¯C1C2Ḅ7᪆®y=—x+bT23ÅCi(-3,-2)²ᐭ!FG-2=-x(-3)+b127Gb--,2q41⚓/u47⚓

4435ÔC1C2Ḅ7᪆®y=~x+—,6y——x497ÕÖ×:FGC2-—X3532y=—x+—C22᝞!AÁ0BḄTU!¦C3,ᑣaOBCsḄ☢¥=¦AOBAḄ☢¥,3¯AC3Ḅ7᪆®y=-x+/?",3ÅA3,2
²ᐭ!FG2=-x3+b”,27G235•*.ACjḄ7᪆®y=-x--.6Ù497ÕÖÚ:,FGC3Û--!--ÜX3532V=—X—[224949ÝᡠÞ!CḄᙶ᪗®Û-3,-2
,-3232ßÒ⚪ὃáâᦪᦪḄÝᔠ!äåḄæᨵkᙶ᪗@ឋN!ᦪºḄÙᐗÕÖḄᐵ!ᦪᦪḄè⚪!ᑭᵨᦪº7&ᨵ=!ëBᦪZᦪ7᪆!ìíîïëBᦪZ7ð⚪Ḅᐵñ.23.òóôõö¯ᜓḄᓣùᣚ²!û´üᡂ®ᡃþÿ
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