2022-2023学年山东省淄博市中考数学专项提升仿真模拟试题（一模二模）含解析

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2022-2023
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52022-2023
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18(3)ᙠ2WxV3Ḅᡝᵨaஹb⊤8Wx<9ᑁḄᡝᵨ1,2⊤ᑭᵨ᪛⊤ᡠᨵ#$Ḅ%&ᯠ(ᑭᵨᭆ᳛+,.ூ/௃:(1)Ḅᦪ3424-4%=50(ᡝ),ᑣ6tᨴᙳᵨ=>(ᓫA4t)⚣ᦪᑖ2EFᜧHᨵ450X(30%+20%+12%)=279(ᡝ)(3)ᙠ2WxV3Ḅᡝᵨaஹb⊤8WxV9ᑁḄᡝᵨ1,2⊤.ab12/1\I\/|\/'\j12^12a02abl19⚓/54⚓

19Q2ᑣOPḄ2EFᩭRSᨵTḄᭆ᳛34—123X⚪Z⌕ὃ]^_⊤`ᩩb^_᪛ᭆ᳛cde᧕◤hi⚣ᦪஹ⚣᳛`ᦪjkḄᐵm.21.AஹBpqrTstuv330ᓟyḄᵬஹ{ᙢuᔣ~s(ᓟy)⊤qrᵬᙢḄvt(ᑖ)⊤qrḄsk᝞Li,L2ᑖ⊤pqrḄstḄᐵm.(1)L,⊤pqrᑮᵬᙢḄvskḄᐵm(2)qrBḄ3(3)Li,L2ᑖ⊤ḄpqrḄstḄᐵm,.(4)2s(ruvᓟy(5)sk(AஹBru⍗Tsᓟ'330AL2180<>\/120fY6/\7—O—O-O—>oI60120180240tᑖூᫀ௃(1)L⊤qrBᑮᵬᙢḄvskḄᐵm(2)qrBḄ315ᓟy/ᑖ4(3)si=-1.5t+330,s=t;(4)2s(ruv30ᓟy(5)132ᑖAஹB2ru⍗.ூ/௃⚪ᑖ᪆4(1)¡᪷£¤ᦪ¥Ḅ¦ᔣ`⚪i#§L⊤qr8ᑮᵬᙢḄvskḄᐵm(2)ᵫLª60ᑖᜐḄᙶ᪗#§°±`skt~²(3)ᐜᑖ´¤ᦪᑭᵨ¤ᦪ¥ªḄµ§¶ᵨ·¸mᦪ¹#²¤ᦪ᪆,(4)(3)C¤ᦪ¥²£=120ssḄ»¼½ᓽ#(5)¤ᦪ¥Ḅ¿ᙶ᪗ᓽ#.⚪᪆4(1)¤ᦪb#§qr83ᵫ{ᙢÀÁᵬᙢᦑ஻⊤qr5ᑮᵬᙢḄvskḄᐵm(2)(330-240)+60=1.5(ᓟy/ᑖ);20⚓/54⚓

20(3)´IdS]=஻+/?,Ç(0,330),(60,240)Èᐭ²k=-\.5,6=330.ᡠᵯ=-1.5/+330´{dS2=஻Ç(60,60)Èᐭ²k'=l.ᡠ§2=t.Ì4ÍÎf=120s.1=150,$2=120.330-150-120=60ÌᓟyÍ;ᡠ2s(ruv60ᓟy;Ì5ÍÎS1=Szs—1.5/+330=t,²=132.ᓽ132ᑖA,8ru⍗.22.᝞஺஺ÓÔd1,AB300ḄÔC300ª;Ö¡AC,஺0᜜Ḅ;DᙠÙAB±.Ì1ÍÛAC=6OB=BD.জÝ4CD3OOḄᑗÙ.ঝ▢â9ᑖḄ☢ä3.Ì%&åᶇᐔÍÌ2ÍÎCᙠ஺OªèésÛCD3஺஺ḄᑗÙêëNCDONOACḄᦪ>ᐵm.ூᫀ௃Ì1Íজí᪆ঝî;ïÍÌ2Í2/OAC-NODC=90஺ᡈ/ODC+2/OAC=90஺34ூ/௃ᑖ᪆4Ì1ÍজÖ¡8C,OC,ᵨòó¸ᳮBC7AB2-AC?=1,ÝõABOCdDö÷øb²ùijZBOC=ZOBC=60°,ü~ZODC=ZBCD=30°,²ᑮZOCD=180°—NBOC-ZODC=90°,ᓽ#ýõC஺30OᑗÙ.ঝþCÿCE_L/8E,᪷SpE./c-Suocᓽ.2ᑖCு8cZC<8C!"#$%&'.()*1জ-.*/0BC,OC,221⚓/454⚓

21•.Z889:;4C8=90°,ᙠRt^/NCE*BC=ylAB2-AC2=1,:.BC=OC=OB,...F8஺஺HIJKLMZBOC=ZOBC=60°,,%OB=BD,OB=BC,%.BC=BD,%.NODC=NBCD=-NOBC=30°,2O•N8OC+NO0C=9O஺/.NOCD=180஺—NBOC-NODC=90°,80஺ᑗS.ঝUCVCE_L48E,■%S,„=-ACBC=-ABCE,,r22s—6,*CH—,2S=SᡧMOAC-S^AOCfW120-7T-121,A/3=----------xlx——,3602271VJ=--------34,ᦑ\ᫀH:^—_.34(2)জb4Cு3Cc,*88஺஺ḄᑗS%.ZOCD=90°,222⚓/454⚓

22.♦.NODC+NCOD=9(r,,:OC=OA,%.ZOAC=N3,:"C0D=2N0AC,ᓽZODC+2ZOAC=90°.ঝbZC<8CceজNOC0=90஺/.NCOD=90஺-NODC,'%DA=OC,%.ZOCA=ZOAC,,/ZOAC+ZOCA+NCOD=180஺ZOAC+NO4c+90°-ZODC=180°,•••2ZOAC-ZODC=90°,fg*2NOAC—NODC=90°,ᡈZODC+2ZOAC=90°.ij*k⚪ὃnᙊḄfᔠqr-.9S8ᙊḄᑗS8ᡧM☢tuvḄwxyz{|uvḄ}~.23.qᱥSy=ax2+ax+b(aNO)9Sy=2x+mᨵuᐳiM(1,0),a

23(1)baḄᐵvᱥSḄ⚔iDᙶ᪗(ᵨaḄᦪv⊤)O(2)9SᱥSḄ᜜i}HN,aDNINḄ☢taḄᐵvO(3)a=-lc9Sy=-2xᱥSᙠ2;▲iG,iGஹHᐵ¢i£¤¥¦S§GH¨y©ᔣg«¬tᓫ®(t>0),°S§GHᱥSᨵ±ᨵeḄuᐳi²tḄ³´¶.927327ூ¸¹\ᫀ௃(1)b=-2a,⚔iDḄᙶ᪗H(-O,--a)O(2)-----------aO(3)2

24(2),9Sy=2x+miM(1,0),0=2x1+m,)¿m=-2,y=2x-2,y=2x-2ᑣÚ—2஺y—cix+ux—26f¿ax?+(-2)x-2a+2=0,a(x-1)(ax+2a-2)=0,2)¿x=lᡈx=—-2,a24Niᙶ᪗H(2,--6),aaVaᓽa<-2a>Aa<0,᝞Ó1,ÝᱥS£¤©9SiE,%.E(-y,-3),ஹ24ஹVM(1,0),N(--2,--6),aaÝaDMNḄ☢tHS,i/29aஹ27327••S=SADEN+SADEM=YI(J-2)-1H---(-3)|=-------------a»2a44a8(3)ba=-lc225⚓/454⚓

25i9ᱥSḄ)᪆vH*y=-x2-x+2=-(x+—)2+—,24y=-—x+2ᵫீ-x2-x+2=-2x,)¿*X]=2,X2=-l,AG(-1,2),•iGஹHᐵ¢i£¤AH(1,-2),Ý9SGH«¬ãḄ)᪆vH*y=-2x+t,-x2-x+2=-2x+t,x2-x-2+t=0,F=l-4(t-2)=0,9t=-,4biH«¬ãäᙠᱥSgcᙶ᪗H(1,0),¼(1,0)ᐭy=-2x+t,t=2,9bS§GHᱥSᨵ±ᨵeḄuᐳitḄ³´¶82

26᪆v¿ᑮᐵXḄᐗ;ËÌÍ8)⚪Ḅᐵëᙠ3
E¿GHᱥSiiḄᑖìi8)⚪Ḅᐵëk⚪ὃnqriíîfᔠឋíïðñíᜧ.2022-2023
ḕὃᦪ⚗ᓣ⚪ஹ⌱⌱ôõ⚪3ᑖᐳ30ᑖ1.-3Ḅö÷ᦪ8A.----B.—C.—3D.3332.øù3ᨴ5ûᓝKýᐰÿ
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ᐵḄ.ᐸ⊤ᩭᢝᦋᗐῃ#$%&'(ឋ*+#,-./680001᧕ᙢᢄ#568301#,7᳛ᵫ10.2%:;ᑮ3.1%.=8301ᵨ?@A@B⊤CDEA.83x10$B.0.83xlO6C.8.3x106D.8.3xl073.᝞GHᵫIJKLMNOᡂḄQJRSNTḄUVGHDE.ᖆA.τ|B.|||C,Q4.:ᑡᔜZ[\L]ḄHDEA.2ab+3ab=5abB.DQa%'
=a%5C.xyji=-\/5D.a+1
=a~+l2-x>15._ᨵaZb-,_Ḅfgᙠᦪij⊤L]ḄHDE2x-l>-76.᝞Gklm8nklCQopq஺EHNCO8ᑁQqKOEVAB,ZAOC=35°,ᑣḄuᦪHDEv27⚓/y54⚓

27AOB'DA.155°B.145°C.135°D.125°7.ᙠ@᪥“□ᐝ/☘᧡”Ḅ⌱KḄᑖᑖH90,85,90,80,95,ᑣbᦪ¡ḄᦪHD,A.95B.90C.85D.808.¢ᐵxḄM¤x2+x-a+§=0ᨵ©J_ᨵoaḄªᦪ᪷ᑣ¬ᩩ¯ḄᨬK᦮ᦪaḄ²H4()A.-1B.0C.1D.29.µ᪥b¶·¸@¹ºὃN¼½¾ᐳÀ3ÁÂÃᑖÄÅC1ஹ2ஹ3,ÇÈÉÊË©ÌÍ⌱QÁÃÎᙶᑣ©Ðᙶ2ÅÃḄᭆ᳛C/\Ò/ஹQ

28ஹ⚪!⚪3ᑖᐳ15ᑖ11.[\ò2sin30°+D—1E2-|2-|12.¢øùúᦪû=2*2+6*+D?6<0
Ḅ2,0
,ᐸx=T,ᑣᦪy>0ᡂxḄ!"________.13.᝞()*+y=2,<0
./.00/323NḄ56஺8.39:x;6C.=6>Ḅᙶ᪗—6,4
,ᑣZUOCḄ☢H.14.᝞,IJ0ABCDK6CLM┐OᔣQR90஺ᑮJ0A'B'C'D'ḄUV/8=2,/஺=4,ᑣ▢YZᑖḄ☢H.15.᝞ᙠRtZXABC5ZC=90°,AC=3,BC=4,6D,EAC,BCfghi6=INCLDEᢚk6CḄl6஺'ាopᙠABfA4QC'ា./.0ᑣrCDḄs"ஹ$%⚪;ᜧ⚪ᐳ8=ᑖ75ᑖ16.ᐜᓄvwxy---
,ᐸ5a=J^+1.Q2—2Q+1a+117.᪥ᙠ3ᨴ⁚ᨵḄ᜜▅ὁ᪥᜜▅Ḅ“ᨬ¡Ḅ᜜ᱥ£¤”Ḅ¦ᔁᒹ©“ª℉”“¬”“ᔊ¯”“°±29⚓/³54⚓

29´”µ£ᙠ᪥¶·¸Zᑖ¹¸Ḅº»ᙠµ¼£¤5⌱¾ᐸ5¿£,IÀÁÂᑴᡂ᝞ÄgÅÆÇᨵÈ᦮ḄÊ.Ë᪷ÍÎfÏÐÑÄᑡ¦⚪y(1)Ö×5ὁ¿ᐳªÙ(2)xÖ×5⌱¾“ᔊ¯”£Ḅ᝕ÛᦪÜ“°´”£ḄᵱÛᦪÞIᩩ0Ê⊡ᐙÈ᦮;(3)ᡧ05“°´”£lḄᙊå.æᦪ.(4)᝞Á᪥ᐳᨵ360ªËçè᪥ᨬ¡“ª℉”£Ü“ᔊ¯”£Ḅ³Ûᦪ.18.᝞()éABCᑁë;00,AB"ì0D஻AC,AD=0C.(Dxîyµ300CAD"ïµ30Ù(2)ðñyজ/B=µ30OCAD"ó0ÙঝNB=AD8஺஺9ᑗ.19.᝞ö45ஹCDᑖø⊤úᵬügýþᱥḄÿBAUD,CDLDA,ᚖᑖ4DDᑮBḄa60°,CBḄ஺30஺ᵬᱥḄ48=30(1)$ᵬஹ&'ᱥ()Ḅ*+40.(2)$&ᱥḄC£)./30⚓/254⚓

30DAni20.᝞56ᦪy=kx+bḄ5=>?@A6ᦪy=—Ḅ5=CDA(—3,m+8),B(n,x-6)'.(1)$6ᦪ>?@A6ᦪḄJ᪆LM21.NOḄ6ᨴ5QRSTUQVW᎝YZTU[\]^_`a10b⁚ḕefḄghᜓjᨵᵬஹ&'lmnḄhᜓop⌱`.rs`a3bᵬmhᜓ@`a2b&mhᜓtu16vᐗ`a2bᵬmhᜓ@`a3b&mhᜓxu6vᐗ.(1)$ᵬஹ&'lmnhᜓNbḄyzM(2){\]r^_`aᵬmhᜓ|ᨵxD3b⚜~`a⁚ḕefḄghᜓ|ᨵ110vᐗ{\]ᨵl`aM(3)ᙠ(2)ḄᩩᵬmhᜓNᨴḄ240ᔴ&mhᜓNᨴḄ180ᔴ.Nᨴ⌕$|ᨵYD2040ᔴV⁚{\]hlᨬḄ`a.22.᝞51,ᙠABCDAB=AD.NB+/ADC=180°,E,FᑖᙠABCDḄBC,CDZEAF=yZBAD,¡EF,¢£¤EF,BE,DF()Ḅᦪᐵ¦./31⚓/254⚓

31BBV0yI஻cFDCFcDC515253(1)§¨©ᳮ«4ABE¬A⌮®┐°±²AADG,´AB>ADµᔠ.ᵫ/B+/ADC=180°,NFDG=180°,ᓽF,D,G¹ᐳ».᧕½^AFG^,ᦑEF,BE,DF()Ḅᦪᐵ¦MফÁ@Âᵭ᝞52,ᙠ51ḄᩩE,FᵫÄᩭḄÆÇᑖÈᑮABCDḄCB,DCḄÉÊ»ZEAF=jZBAD,¡EF,¢£¤EF,BE,DF()Ḅᦪᐵ¦ÌÍνÏ.(3)ὶ¤ÑÒ᝞53,ᙠ4ABC,ZBAC=90°,AB=AC,D,EᙳᙠBCÕNDAE=45".BD=1,EC=2,ᑣDEḄÊ.23.᝞5Øᱥ»ax2+bx-3A(2,-3),>xÙÚÛÙCDB,>yÙCDC,ÕOC=3OB.(1)$Øᱥ»ḄJ᪆LÌᑏÎxÞßy=0M(2)DᙠyÙÕNBDO=/BAC,$DḄᙶ᪗M(3)MᙠØᱥ»NᙠØᱥ»ḄãäÙåᔲçᙠèA,B,M,N⚔Ḅåêëìçᙠ$ÎᡠᨵîᔠᩩḄMḄᙶ᪗M|ᨵçᙠïÏᳮᵫ./32⚓/254⚓

322022-2023
ḕὃᦪ⚗ᓣ⚪ஹ⌱⌱ðNñ⚪3ᑖᐳ30ᑖó1.-3Ḅô?ᦪåðóA.B.—C.—3D.333ூö÷øᫀ௃Dூᑖ᪆௃ô?ᦪḄ_ûås᝞ü'ýᦪþᨵîn|ᨵÿᡃᐸᦪᦪḄᦪᱯᙢ0Ḅᦪ0.ூ௃᪷ᦪḄ-3Ḅᦪ3.ᦑ⌱D.!⚪ὃ$ᦪ⚪%&ᓫ()ᐵ+.2.-.3ᨴ50ᓝ23ᐰ567ᙠ9:67;<=ᐵ>?@ABḄCD.ᐸ⊤FG.ᩭIJKLᢝNᦋᗐῃRST<UឋWXRYIZ[\6800]^᧕ᙢᢄRab830^IRYcK᳛ᵫ10.2%fgᑮ3.1%.i830^ᵨkl)lm⊤FnoA.83xl05B.0.83xl06C.8.3xl06D.8.3xl07ூpqrᫀ௃Cூ௃t⚪᪆830^ᵨkl)lm⊤F8.3x1O'ᐗ.ᦑ⌱C.3.᝞xᵫ2ypz{|ᡂḄ~{Ḅxno.ூpqrᫀ௃Cூ௃᪷~{Ḅ2x~{ᑮḄf᣸ᑡḄypz,ᓽCxᡠF.33⚓/54⚓

33ᦑ⌱c.!⚪ὃ$2x.4.fᑡᔜpqḄnoA.2ab+3ab=5abB.(—a%=a&b'C.¢£=6D.(a+1)2=a2+lூpqrᫀ௃Aூ௃t⚪᪆A.pq.B.n—/஻7:/ᡝ.ᦑ┯²C.y/2Xy/3=y/6.ᦑ┯².D.n4+1o2="2+2஻+1.ᦑ┯².ᦑ⌱A.µ¶ᔠ¸¹º⚗¼½¾¼½ḄᢣᦪÀᢝÁᨵÃÄᦪÅ[ᓽ.2-x>l5.ÁᨵÉÊ,rḄÌᙠᦪÍ⊤FpqḄno2x-1>-7ூpqrᫀ௃Dூᑖ᪆௃•ᐗÁᨵÉÊᐜÑÒÁᨵÉÊÓÁᨵÉḄÌÔᑭᵨZÖÑÒ×ÌḄØᐳÚᑖ¹ᜧ<ᜧ¹ylூ௃2x-l>-7x-3-3

34ᦑ⌱D.ÁᨵÉÊḄÌᙠᦪÍ⊤FḄzmàÓÁᨵÉḄÌᙠᦪÍ⊤FÒᩭná,âᔣäåæç,WᔣåoᦪÍḄµàᦪÍᑖᡂéêë᝞ìᦪÍḄíë☢⊤FÌḄïḄᩩᦪñÁᨵÉḄᦪ᪵óôëõÁᨵÉÊḄÌ.ᨵ~õ⌕~.ᙠ⊤FÌ÷2”,“W”⌕ᵨúûᙊµ⊤Fæ⌕ᵨýûᙊµ⊤F.6.᝞xþï48ñþïCQÿ
O,ENC08ᑁ
ZAOC=35°,ᑣNE஺஺ḄᦪB.145°C.135°D.125°ூᫀ௃Dூ௃N4OC=35°,40஺=35°,■:EOLAB,#NE0B=90°,$♦/£0஺="஺3+/8஺஺=90"+35°=125°,ᦑ⌱D.7.ᙠ0᪥23“□ᐝ789:☘᧡”Ḅ>?@ABCDEFG⌱HIJḄEᑖᑖL90,85,90,80,95,ᑣMNᦪOḄBDᦪA95B.90C.85D.80ூᫀ௃Bூᑖ᪆௃QNᦪORIᑮᜧᡈRᜧᑮIVW᣸ᑡZᨬB\Ḅ]^ᦪᨬB\_^ᦪḄ`ᙳᦪbcMNᦪOḄBDᦪ.efᓽhi.ூ௃jᦪOᢥRIᑮᜧḄlm᣸ᑡn80,85,90,90,95,ᑣBDᦪ90.ᦑB.o35⚓/q54⚓

35r⚪ntu⚪ὃwBDᦪḄxyBDᦪQNᦪORIᑮᜧᡈRᜧᑮIVW᣸ᑡZ,ᨬB\Ḅ]^ᦪᨬB\_^ᦪḄ`ᙳᦪbcMNᦪOḄBDᦪ.8.zᐵxḄ|}x2+x-a+~=0ᨵ_^ᨵḄᦪ᪷ᑣᩩḄᨬI᦮ᦪaḄ4
A.-1B.0C.1D.2ூᫀ௃Dூᑖ᪆௃᪷O᪷ḄᑨLᑮᐵaḄ|}iZhᑮᫀ.ூ௃ᐵxḄ|}—=0ᨵ_^ᨵḄᦪ᪷4ᑣ#-4X1X-Q+,D0,21.ᩩḄᨬI᦮ᦪ஺Ḅn2.ᦑ⌱D.r⚪ὃwᐗ#|}᪷ᦪḄᐵᳮᵨ᪷ḄᑨL|}⚪ᐵ.9.᪥N80¡¢Bὃ£¤¥¦ᐳ¨3©ª«ᑖL¬n1ஹ2ஹ3,¯°±²³_´hµ⌱©«¶ᙶᑣ_´¸ᙶ2«Ḅᭆ᳛n1»1C11A.B.-C.-D.-9632ூᫀ௃Aூ௃ᑖ᪆ᐜᑭᵨ¾᪛ÀÁÂÃᡠᨵqÅhḄÆÇᦪÈÉ_´¸ᙶ2«ḄÆÇᦪᯠZ᪷Oᭆ᳛Ëi.¾᪛ÀÁn123ZN/N/1\123121233ᐳᨵqÅhḄÆÇᦪᐸB_´¸ᙶ2«ḄÆÇᦪnÍᡠÎ_´¸ᙶ2«Ḅᭆ᳛=9o36⚓/q54⚓

36ᦑ⌱A.
Ðr⚪ὃwᑡ⊤Ò᪛ÀÁÒᑭᵨᑡ⊤Ò±᪛ÀÁÒÂÃᡠᨵhḄÆÇ஻ÈRB⌱ÔᔠᩩḄÆÇᦪÖᯠZ᪷O×Ḅᭆ᳛P/#—iᭆ᳛.nA=----------=----------BC4*%ADLBC,ZADB=ZBAC=90°,•0/DBA=NABC,DABDs/\CBA,o37⚓/q54⚓

37AB_BD~BC~14B._AB2262.Rn..BD=----=-------=3.BC4:
Bᙶ᪗n1,0,%.A
Ḅᙶ᪗n4,6•'%BD=3,%.BDt=3,ᙶ᪗-2,0,...ᙶ᪗-2,-.;ᔣ2ᓫḄᙶ᪗-2,-73-2.ᦑ⌱D.⚪⌕ὃ"#$%&%'Ḅឋ)*+,ᳮ./Ḅឋ)0Ḅឋ)123'ᑭᵨ./Ḅឋ)0Ḅឋ)6789⚪Ḅᐵ;.ஹ⚪!⚪3ᑖᐳ15ᑖ11.=>?2sin30°+_l2_|2_^|ூJK8ᫀ௃V2ூᑖ᪆௃┐R%Ḅ&%SᦪUᨵᳮᦪḄWXU3ὃYᑖZ[\=>ᯠ^᪷`aᦪḄb>cᑣef=>gh.ூi7௃7?jk=2xn+l-2—p=1+1-2+p=p.⚪ὃ"aᦪḄqᔠb>st%&%Sᦪuv᪷kḄᓄxcᑣJK=>67⚪ᐵ;.y38⚓/}54⚓

3812.uvSᦪy=ax2+bx+ca<0
Ḅ32,0
,ᐸR$x=-l,ᑣSᦪUy>0ᡂxḄU6_______.ூJK8ᫀ௃-40ᡂḄxḄU.7?᝞3ᡠ??3Y2,0
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