【中考数学】2022-2023学年辽宁省沈阳市专项突破仿真模拟试卷（一模二模）含解析

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19ᓽ»qஹrstᐜxE{|}~¼½¾ᑮḄ9ᦪ700À=4,55k44S>3஻£=4ëìíîᦪḄï4ðḄ/0-&-ñ=òó-ô'஺.=1Nø=4,ᓽù=4,ú•..ûü0,14=4,.•.ëìíîᦪḄᐵýny=±ÀX44=2<ÿ=4ᓽ4=55x=6,ᓽ஺6,4,41,4,20⚓/66⚓

20AD=DE-AE=6-l=5,ᵫ48=40=5,AM=4,8ᙠx!",ᙠRtAAMB(ᵫ)*+ᳮMB=q52-ᵬ=3,জ/8ᙠMḄ128Ḅ3ᙶ᪗61-3=-2,.,.8(-2,0),ঝ/5ᙠ஻Ḅ=2BḄ3ᙶ᪗61+3=4,.♦.8(4,0),?@BḄᙶ᪗6(-2,0)ᡈ(4,0).BஹD⚪(22⚪10ᑖ23⚪12ᑖᐳ22ᑖ)22.(10ᑖ)(2021•I┶)᝞LMN⍩PQRST4ᜐVWᑮY☢ᜧ\Ḅ⚔^M,QRSVW_ᔣabc_ᔣḄᜳe637஺MNᙠ4gᜧ\hiNḄke631஺lmno᪛EFḄ⚔Eាtᙠuv4N"wx᪛Ḅyc66z{|=1,m/B,MN,᪛EFᙳFB2ᚖᙢ☢QRSVWḄAM(ᶇ᦮ᦪ.ὃᦪcos31°«0.86,tan31°«0.60,cos37°®0.80,tan37°q0.75)21⚓/66⚓

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23DL2♦CFPᑖNACB,/ACF=ZBCF,:,S=T,OFLAB,••BDLAB,OF//BD,/.\EFO^\EDB,OFOE---=---,BDBE•AE=OE,OEº.=EB3OF----——,123OF=4,:.BE=OE+OB=2+4=6,DE=+BE2=7122+62=6U.»ஹD⚪¼⚪14ᑖ24.14ᑖ2021•I┶½ᔆ¿ÀÁ4,BlÂÃÄÅÆᐳ14Ç¿ÀÁ1Ç4ÃÅÆÈÉÊᑭ10Ìᐗ´᝞¿ÀÁÎÏ4Ç3ÃÅÆᑣÐÇ8ÃÅÆÈÉÊᑭ17Ìᐗ᝞ÏÑ4ÇBÃÅÆᑣÐÏÑ1ÇÐÇ8ÃÅÆÊᑭÒᙳÓ1Ìᐗ.Ô¿ÀÁ8ÃÅÆxÇ.1
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24জÛ⊡ᐰ"☢Ḅ⊤ß:/ÃBÃÅÆᦪá/Ç_14-x_XÐÇÅÆÊᑭ/Ìᐗ10—ঝã¿ÀÁBÃÅÆä¿ÀÁ4ÃÅÆÊḄᑭå70Ìᐗ¿ÀÁ8ÃÅÆÇ(2)/0<14Ô¿ÀÁç8lÂÃÄÅÆÊḄᑭå6èÌᐗ᝞éᑖê¿ÀÁN,BlÂÅÆḄᦪáëÊḄᑭåW?Á°Ñᑭå.(1)জᵫ⚪¤¿ÀÁ8ÃÅÆxÇ¿ÀÁ4ÃÅÆ(14-x)Ç/x>4ÐÇBÃÅÆÈÉÊᑭ[17-(x-4)]=ফ7)Ìᐗ.ᦑDᫀó614-x,21-x´ঝᵫ⚪¤_b10(14-x)+70=07-(x-4)]x,*=10,Z=21(ö÷)D¿ÀÁBÃÅÆ10Ç´(2)/0c%,4ᑭå%=10(14-x)+17x,᦮ᳮJF=7x+140,•ú•7>0,º/x=4ᑭå%67x4+140=168(Ìᐗ)´/x>4ᑭå=10(14-x)+[17-(x-4)]x,᦮ᳮû=-ஹ+llx+140,.•./x=---=5.5ᑭåW,2(-1)ýᵫ⚪¤xþÿ᦮ᦪ.,.x=5ᡈx=6.,.x=5ᑭ%-52+11x5+140=170(ᐗ)Xv168<170,"25⚓/66⚓

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28••\AMP&CDPIQRSRH,ZAMP=ZDCP=90°,N4PM=Z.DPC,NGAD=Z.DCP,,;GA=CN,AD=CD,:.AGAD^ANCD(SAS),/.DG=DN,ZADG=ZCDN,NGDV=ZADC=90°,DG1DNDG=DNMf(3)᝞E3-1[XGᙠ஺Z,E3-1•••AECNIOῪQRSRHEC=5Z,EN=CN=NF=5,•••FGH4V/GIFGH:.AG=NF=5,vAD=CD=\2./.DG=DN=7,GN=772.᝞E3-2[XGᙠ45Z"29⚓/66⚓

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42Z3=Z1=50°Z2+Z3=180°,Z2=130°,4.,3ᑖ?,2021•CD?Eᑡz{|Ḅ,?A.x5+xs=x10B.,xy?2=x5y4C.x64-x2=x5D.x2-x3=x5PQ/ஹX5+X5=2X\ᦑ⌱⚗:ᔠ⚪Bஹ,xy?2=x6y,ᦑ⌱⚗:ᔠ⚪;Cஹxk^x2=x4,ᦑ⌱⚗:ᔠ⚪Dஹx2-x3=x5,|ᦑ⌱⚗:ᔠ⚪ᦑ⌱QD.5.,3ᑖ?,2021•CD?᪥ᐜ&Ḅ᪥2ᨴ⌕ᐜ⌱15ᐜᙠᨴḄᡂ᝞⊤Qᡂ,ᑖ?909195969799§ᦪ,§?232431ᑣfᦪḄ7¡ᦪ¢£ᦪᑖ¤,?A.95,95B.95,96C.96,96D.96,97PQ¨f15ᐜᡂi1ᑮᜧ▰ᑡᜐᙠlᜮᙢ¡Ḅ0ᦪᓽ80ᦪ96,®7¡ᦪ96,f15ᐜᡂ&¯°ᦪᨬ²Ḅ96,ᐳ&¯4°®£ᦪ96,ᦑ⌱QC.43⚓/66⚓

436.,3ᑖ?,2021•CD?᪥³ᐜ´ᡂᕒḄ¶⌱¶⌱ὅi¢¸¹l0!☢ὃ᪶l⚗ᡂᙳᢥ¾ᑖᑴÀÁÂḄᡂᓰ40%,¸¹Ḅᡂᓰ60%,1ÅÆÇḄ¢¸¹Ḅᡂᑖ¤80ᑖ¢90ᑖᑣÈḄᨬÉᡂ,?A.83ᑖB.84ᑖC.85ᑖD.86ᑖPQÈḄᨬÉᡂ80x40%+90x60%=86,ᑖ?ᦑ⌱QD.7.,3ᑖ?,2021•CD?᝞\y=2xYy=kx+b_
P3m,24,ᑣᐵxḄ!ËAx+6=2ḄP,?2PQ•y=2xÌy=Aar+b_
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E,Õ$OC,BD.×AABD=20°,AAED=80°,ᑣNCQ8Ḅvᦪ,?Z?44⚓/66⚓

44A.80°B.100°C.120°D.140°PQ•/ZABD=20°,Z.AED=80°,NQ=NAED-/ABD=80°-20°=60°NCO8=2ZD=120஺ᦑ⌱QC.9.,3ᑖ?,2021•CD?ÙÚÛÜÝᡂ§ÞßàḄᏉâãäå.æçᕒèéêᵬஹìlíîïḄÛÜᵨ720ᐗéêᵬíÛÜḄᦪñ¢ᵨ540ᐗéêìíÛÜḄᦪñ_`ÝᵬíÛÜḄᓫóIìíÛÜḄᓫó²15ᐗ.ôᵬíÛÜḄᓫóxᐗᑣᑡ&!Ë|Ḅ,
A720540õ720540c720540õ720540τ

45sD.?.CE-DE,•()*+BCD,-*./.ZD=ZDCF=90°,AD=BC=4,ᙠMDEYAFCE.ZZ)=NECF

46./Mᙠ23.ᦪ9:,;<ᔣ2ஹ?Ḅ@ᱥḄBCᑖ;/A/ᙠ823.᝞9.AN=x,NF=10-x,ᙠRtAFMN4RtAFBA,“MNABtanZ.F=-----=-----,NFBFNM=—(10—x)=—xH,842i715/.M.MNḄ☢S=—xxx(——x+—)2423215`--X4---X,84/Mᙠ823.ᦪ9:,;<ᔣbḄ@ᱥḄBCᑖ;`ஹcd⚪fg⚪ᐳ8ij⚪.kj⚪3ᑖ.ᐳ24ᑖl11.f3ᑖlf2021•mnlᙠoᩭqᡂsBtᕜvḄw⌕3y.ᡃqῃ|}~ᡊᐰ☢ᑭ.᪗b98990000᩟|<ᐰCῃ|.ᦪ98990000ᵨᦪ⊤9.899xl07_.98990000=9.899x107,ᦑ9.899x1O'.12.f3ᑖlf2021•mnl27Ḅs᪷3.•.•33=27,27Ḅs᪷,3,ᦑ3.13.f3ᑖlf2021•mnlᙠ☢¡¢ᙶ᪗¤.”f-2,4lᐵ?¦§ḄḄᙶ᪗,"47⚓/%66⚓

47(2,-4)_.(-2,4)ᐵ?¦§ḄḄᙶ᪗(2,-4).ᦑ(2,-4).14.(3ᑖ)(2021•mn)ᙠBi©ª«¬.®ᨵ3i°ᳫ.5i²ᳫ4B³´ᳫ.µ³ᳫ◀·⁐᜜ºᐸ¼½¾.¿¬ÀÁ᥎ÃBiᳫ,²ᳫḄᭆ᳛Æ.ᑣ¬´ᳫḄiᦪ7.3ᨵ´ᳫxi.x=7,ÇÈÉx=7,?ÊḄ.ᦑ7.15.(3ᑖ)(2021•mn)᝞9.443c.ZB=30°,ÎCᙊÑ.஺ÓÔÕÖ.!BC஺.ᑖ¾Î4,஺ᙊÑ.ᜧ1/0ḄÓÔÕÖ.×ÖØÙE,ÛCE,2ÙZ5.FHL4C"H.OFH=6,ᑣ"Ḅ_2ÜFGJ.8CG,ᵫ9à.CF,N/C8Ḅ¢ᑖ,•;FH14c"ஹH.FH=y[2,;.FG=FH=41,ZFGS=90°,NB=30°.BF=2FG=272,ᦑ2&."48⚓/%66⚓

4816.f3ᑖlf2021•mnl᝞9.-*âᱏZ88ᢚå.æ4Cwᔠ.ᢚèENCØÙ஺.éê80.ëN8=4,CF=5,ᑣḄ_26BéêZF,஺஺“1BCH,᝞9:.•-*âᱏ43CDᢚå.æ“Cwᔠ.ᢚèE4cØÙ஺,AF=CF=5,ᙠRtAABF.BF=>jAF2-AB2=752-42=3,BC=BF+CF=8,•••OA=OC,OHIBC,AB1BC,.஺4C.OHMAB,`஺",A/1BCḄî.:.BH=CH=-BC=4,OH=-AB=2,22ᙠRtABOH.OB=ylBH2+OH2=V42+22=2=,ᦑ2ᓱ4.17.f3ᑖlf2021•mnl᝞9.A4Q8.AO=AB,08ᙠxñ2C,஺ᑖ¾48,஺8Ḅ"49⚓/%66⚓

49.éêCQ,ECDfgh,éêZE,0E,òóᦪy=&x>0
Ḅ9:4.ëA/1OB.AO=AB,ᙠxñ2.Cஹ஺ᑖ¾N8,OBḄ,AD10B,AOHCD,SAME=^MOD~2,C.k=4.ᦑ418.3ᑖX2021•mnl᝞9.ᙠ\ABC4\DEC.ZACB=NDCE=90°,ABAC=ZEDC=60°,AC=2cm,DC=\cm.ᑣbᑡ(iõöজ\ACD^\BCE÷ঝ4DEBEMঞNCBE+NDAE=45஺MটᙠACOEùCúûÊ.☢Ḅü2t+2”ý.ᐸþÿḄ
জঝভ.ᑏᑗḄ50⚓/66⚓

50ZACB+ZACE=ZDCE+AACE,NBCE=NACD,ABAC=/EDC=60°,AC=2cm,DC=\cm,tanZBAC=—=43,tanABAC=—=5/3,ACCDBC-2y/3cm,CE-43cm,BCACc..----=-----=2,CECD\ACD^\BCE,ᦑজ•,IsACDsRBCE•/EBC=ZDAC,Z.BCG=NBE4=90°,ADA.BE,ᦑঝ;•/ZEBC=ADAC,NCBE+NDAE=ZDAC+NDAE=NCAE45°,ᦑঞ┯";᝞$%&'C(C%_L48%%51⚓/66⚓

51Dᑮ*+ABḄ,-.CH+CD=(>/3+\)cm,\ABD☢0Ḅ1.|Z4BX(73+1)=(26+2)cw*2,ᦑট.ᦑজঝট.qஹrs⚪19⚪10ᑖ%20⚪12ᑖ%ᐳ22ᑖ10ᑖ2021•?@ᐜᓄw%xy1pm+2-'—-—-r-—,ᐸk3=1719.m-2m-22%ஹ5ஹ2m-6r:5+2{ᓝm-2_(w+2)(w-2)-5m-2m-22(3-3)tn2-4-52(m-3)(m+3)(m-3)"2(3—3)□+3=----2637(b)-2748%9:=~~~=~•20.12ᑖ2021•?@A᪥C“ᡃᨬGHḄIJ”.L⚪%Nᐰ᪥ᐜQRSTUV᪵XY,Z[\XYḄᐜQ]^_“`a”ஹ“cd”ஹ“ef”ஹ“ᦣᦻ”ijIJk⌱mᨬGHḄj%n᪥ḄXYo᝞$p52⚓/66⚓

520⌱hᨬj᰿Ḅlmnoᩩ34560⌱pᨬj᰿Ḅlmnoᡧ3456(1)\XYḄᐜQᨵ50:(2)᪷$k“ᦣᦻ”jᡠNḄᙊḄᦪ.—%⊡ᐙᩩ$.(3)ᨬGH“`a”jḄ4ᐜQkᨵ1᝕Q%3ᵱQ%_4ᐜQkTUV3n᪥¡Ḅ`a¢£¤¥%ᵨᑡ⊤ᡈd᪛«$Ḅ¬y®ᡠ⌱Ḅា°±
ᵱQḄᭆ᳛.rp(1)20-40%=50()%ᡠC\XYḄᐜQᨵ50ᦑsᫀ.50(2)“ᦣᦻ”jᡠNḄᙊḄᦪ.360஺ஹ72஺50ᨬGH“cd”jḄᦪ.50-4-20-10=16()%53⚓/66⚓

53ᦑsᫀ.72஺(3)d᪛«$.pº»¼½½XCdCᐭᵱᵱ᝕ᵱÂ᝕ᵱᵱ᝕ᵱᵱᵱᐳᨵ12ÃÄÅḄo%ᐸkᡠ⌱Ḅា°±
ᵱQḄoᦪ.6,ᡠCᡠ⌱Ḅា°±
ᵱQḄᭆ᳛=9='.122iஹrs⚪(21⚪12ᑖ%22⚪12ᑖ%ᐳ24ᑖ)21.(12ᑖ)(2021•?@)AÆÇÈÇÉ.ÊË“Ì⁐®S%ÎÏÐÑ”ḄÒÆÓÔᳮÖ%ᑜØÙ4,8ÃÚḄÛÚÇÈÜ%Ý¢ØÙ1Þ/ÚÇÈÜß2Þ8ÚÇÈÜ◤y165áᐗ%2Þ4ÚÇÈÜß3Þ8ÚÇÈÜ◤y270áᐗ.(1)y/ÚÇÈÜß8ÚÇÈÜZÞᔜäåáᐗæ(2)ÇÈÇÉᑜØÙ4ÚÇÈÜß8ÚÇÈÜᐳ140Þ%çØÙ"ÚÇÈÜḄéᵨêBÚÇÈÜḄéᵨ%ëìíÇÉᨬäØÙäåÞAÚÇÈÜærp(1)îZÚÇÈÜZÞxáᐗ%8ÚÇÈÜZÞyáᐗ%ᵫ⚪ðñp[x+2ò165,]2x+3^=270spZÚÇÈÜZÞ45áᐗ%8ÚÇÈÜZÞ60áᐗ(2)îíÇÉØÙ3Þ/ÚÇÈÜ%ᑣØÙ(140-5)Þ8ÚÇÈÜ%ᵫ⚪ðñp45ffi.60(140-/»),rñpC%801spíÇÉᨬäØÙ80Þ4ÚÇÈÜ.22.(12ᑖ)(2021•?@)AôõZஹ8[ô'ö÷øù%úû_ô'4ᑮô'8]^CᜐýÅᑮþ.ÿ
BᙠᨴḄᓅ30஺4ᔣᔣ600ᑮCᜐ,
BᙠCḄᓅ75஺ᔣ.54⚓/66⚓

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N/=30°,ABCE=75°,^C=600m,ᙠRtAACDrs4=30஺AC=600,:.CD=^AC=300(m),AD=^-AC=300y/3(m),ZBCE=75°=ZJ+ZB,ZB=75°-Z/4=45°,:.CD=BD=300(m),BC=y/2CD=300y/2(m),yXB$Cᜐ&'Ḅ()6300V2*W2!ᵫ⚪g
.AC+BC=600+300^>,AB=AD+BD=(300+300A/3)TH,55⚓/66⚓

55AC+BC-AB=(600+300^)-(300+3006)x204.6*205}!~ஹ_yᑖ12ᑖ23.12ᑖ!2021•!ᔆAᢇ□□Ḅᡂ20ᐗ:□ᜩḄyᓫxᐗ!&'ᦪᐵ2ᓫ628ᐗᜩḄ6260*2ᓫ630ᐗᜩḄ├6240.1
"□ᜩḄ├N!ᓫxᐗ!&'Ḅᦪᐵ¢*2
£□¤Ḅᑭ¦6wᐗ!2ᓫ§6QOᐗ¨©ªᜩḄ¦Rᑭ¦QOᐗR_X1
£ᦪᐵ¢6᜛=h+6,260=28+6ᵫ⚪g¬
:240=30k+b4=-10_
:6=540ᦪᐵ¢6y=-10x+540*(2)ᵫ⚪g¬
Xw=(x-20)y=(x-20)(-1Ox+540)=-10(x-37)2+2890,.•.2x=37wᨵ¯62890,56⚓/66⚓

56yX2ᓫ§637ᐗ¨©ªᜩḄ¦ᑭ¦2890ᐗ.°ஹ_y⚪ᑖ12ᑖ!24.12ᑖ!2021•!᝞²,ᙠ00r,N/OB=120஺AC=BC,³´/C,BC,a4bµBCḄ¶·¸c஺048஺Ḅ¶·¸¹µcE,஺஺ZC¹µcF.1
"ºXOE஺஺Ḅᑗ¸*2
¼஺஺Ḅ½¾62,"¸¿஺ÀḄÁ._X1
᝞²³´0C,■CAC=BC,AC—BC,p,M0A=0B,OC=OC,\OAC\OBC{SSS9ZAOC=NBOC=-AAOB=60°,2:.\AOC,A50cÂÃÄÅÆC.OA=AC=CB=OB,Ç.ÈÃÆOZC8ÉÆOA//BD,p•C4DLBD,OALDE,57⚓/66⚓

57..OE஺஺Ḅᑗ¸*(2)ᵫ(1)
4c=஺/=2,AOAC=60°,NA4C=90°-60°=30°,ᙠRtAACDrZDAC=30°,AC=1,DC=-AC=\,AD=—AC=y/3,22ᙠRtAAODrᵫÎϧᳮ
,OD=ylAD2+OA2=^/3+4=V7,■COA//BD,ACFDS\AFO,CDDF...----=-----OAOFCD1Xv—=sin30°=-,AC=OA=2fAC2DF1-----=—iOF2DF---=—,DO3ᓽ஺À=,஺஺=Ø.33Ùஹ_y⚪ᑖ12ᑖ!25.12ᑖ!2021•!᝞²RtAABCr,48=90஺,2643rEᙠE¸5cÚEÛ8,CÜᔠ!³´஺E,a஺b஺µE¸4ccE,³´EF.1!᝞²1,2À/ÜᔠßE´ᑏ¸¿EÀBEḄᦪᐵ*2!᝞²2,2FÛNÜᔠßᑏ¸¿NF,EF,8E&'Ḅᦪᐵá▊ã58⚓/66⚓

58ᳮᵫ;(3)¼XC=5,8C=3,EC=\,ßE´ᑏ¸¿/FḄÁ.ᜓᵨ6_X1!+åXEF=BE.EF=EB.(2)+åXAF2+BE2=EF2.ᳮᵫX᝞²2ra4bA7_L4cµEDḄ¶·¸c³´E7.•••AJLAC,ECLAC,:.AJUBE,59⚓/66⚓

59/AJD=Z.DEBᙠ\AJD$\BEDrR4JD=NDEB

60632•:BC=3,CE=T,BE=4,•/EF2=AF2+BE1=CF2+CE2,x2+42=(5-x)2+12,x=1,AF=\,êÚᡠìíᩩîḄ/FḄÁ6ï■ᡈ1.5òஹ_y⚪(ᑖ14ᑖ)26.(14ᑖ)(2021•)E¸y=-x+3xô¹µcKyô¹µc8,õᱥ¸y=ax2+2x+c/,B,xôḄøAµ6C.(1)"õᱥ¸Ḅ_᪆¢*(2)᝞²1,஺ú▲ᑁõᱥ¸ÚḄAýa஺b஺E஻yôµcE,DFLABcÀFGlxG.QE=FG஺Ḅᙶ᪗(3)᝞2,ᙠ(2)Ḅᩩ!CD$N8'(஻”ᙠ+ᱥ!-`HaHK”y(!COK.012☢ᑁ56M,H,K,08⚔Ḅ:;<1=><?@ᑏB0Ḅᙶ᪗.C61⚓/H66⚓

61IJ(1)Kx=0,ᑣy=3,6(0,3),Ky=0,ᑣx=3,?.4(3,0),,/+ᱥ!y=af+2%+஺M,B,9஺+6+c=0c=3a=-\c=3N.+ᱥ!I᪆P8y=-f+2x+3(2)QD(m,-tn2+2m+3),v஺R/4(/8£,E(T5U+3),••OA=OB,40AB=45°,:.AG=FG,••DE=FG,DE=AG,W@GE,XYQE(x7,:;

62,/DF_LAB,:.EGVAB,.•.A4EG8`Ὺbcb<AT=ET=GT=3-m,?.AG=FG=6-2mOG=3-(6-2m)=2m-3,0eᙶ᪗82m-3,FG=—2m+6,DT=—2m+6+3—zw=-3tn+9,-m2+2U+3=-3tn+9,Ik=2ᡈ□=3(n)/.0(2,3)(3)Ky=0,ᑣ*+2r+3=0,Ikx=3ᡈx=—1,C(-l,0),QCDḄI᪆P8s=t+6,u஺(-1,0)ஹ஺(2,3)wᐭ,(-k+b=0''[2k+b=3'[k=l-[6=1y=x+\,.•/CM=45஺CMLAM,ὶ|x+1=-x+3,Ikx=1,••6M,H,K,P8⚔Ḅ:;<1=><C63⚓/H66⚓

63জ᝞2,3,Hᙠ-KᙠCQ-,•.■ᙠ+ᱥ!-”(3,0)ᡈ"(0,3),”(3,0)MH=2Z,KH=4,K(3,4).•.஻KḄ8(3,2),ᑣḄ8(3,2),.(5ফ;C64⚓/H66⚓

64”(0,3)MH=42,KH=1,HKḄ8(0,2),ᑣMPḄ8(0,2),"K$yᔠ.-.P(-l,2)ᔠ⚪ঝ᝞4,5,,+6,2)ᡈ2),"(1+0,2)MH=Z,C65⚓/H66⚓

65N.P(1,2+)“(1-&,2)MH=y/2,P(l,2-^2)-ᡠJ6H,K,P8⚔Ḅ:;<1=><Pᙶ᪗8(5,2)ᡈ(1,2+)^(1,2-72).61C66⚓/H66⚓