湖北省孝感市2021-2022学年中考数学模拟试卷（一模）含解析版

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19...µXḄÇmHÅ`Ḅᙶ᪗nÊ1,0,lx=2·ᐭy=ax2+bx+c:y=4a+2b+c>0,ᦑঞ┯̳:Cfᦪy=ax?+bx+c)Ḅx=-1,.\-l+t+l|=|-1-t+l|,³.y2=y”ᦑট┯Ìᦑ<ᫀজঝ.ூ`c௃d⚪f⌕ὃh
Cfᦪ)µᦪḄᐵᐵnÎÏÐÑজCf⚗ᦪaÓ¹ᱥOḄÁÂÔᔣ,a>0¹ᱥOᔣÁ³,a<0¹ᱥOᔣ¢Á³ঝ⚗ᦪbiCf⚗ᦪaᐳÖÓḄᙢØ:,aµbÖÊᓽab>0,ᙠyÙ³,aµbÚÊᓽab<0,ᙠyÛ.ÊÜ:ÙÖÛÚqঞÝᦪ⚗cÓ¹ᱥOµyÅ`¹ᱥOµyÅ_Ê0,c.Kஹ?<⚪Êdᜧ⚪ᐳ8W⚪ᐳ72ᑖq17.Þß:|-20|-Êgq'+<2008-n0-y/stan45".ூ<ᫀ௃-Lூ?᪆௃ூZ?௃ூᑖ᪆௃ᐜᑖáXâ#ḄᓄÜஹÆᢣᦪåḄjßஹ஺ᢣᦪæḄjßஹCf᪷»ḄᓄÜஹGḄKGᦪ#Ḅjßᯠç´ᢥjßé¬XâÞßᓽ.ூZ?௃I-2V2I-Êêq,+Ê20°8-ᐔq஺&tan45°=2â-2+1-272xl=2.-1-272=-1.ூ`c௃d⚪ὃh
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20DEBCூ<ᫀ௃(Dõö÷?᪆;(2)112.5°.ூ?᪆௃ூᑖ᪆௃(1)᪷9ÖGøGùIᑮN2=N4,ᩩûN84C=NO,´6C=CE,õ3ü³(2)᪷9NACD=90஺AC^CD,ᑮNl="=45஺᪷9IῪKGḄឋᑮZ3=Z5=67.5°,ᵫþGḄêᑮZDEC=180°-Z5=ll2.5°.ூZ?௃(1)õö:•.•NBCE=NACD=90஺,-.Z2+Z3=Z3+Z4,,-.Z2=Z4,NBAC=NDᙠAABCiÿ£>£(*,-N2=N4BC=CE.•.ABC^ADFC(AAS),AC=CD"(2)VZAC£>=90°,AC=CD,.\Z1=ZD=45°,VAE=ACf.N3=N5=67.5஺,

21ZDEC=1800-Z5=112.5°.19.“ᢄ”ᐭ▤!"#$%ᙳ⌕“(᫏*ᓱ”.,-./012.ᐳᨵ5678''(᫏*ᓱ”Ḅ#$%Ḅᐜ<=ᦪᢥ@ஹBஹCஹ57ᑖEFGAi,Ai,A3,A«,HIAI,Ai,A3,A4JKL,ᑴᡂ᝞PᡠRḄJKP.1S12.“(᫏*ᓱ”Ḅ#$%Ḅᐜ

223]᪛rP᝞:ᐳ6£¤vw¥¦§ᔠ⚪Ḅᨵ3£31.•.⌱]@lᵱ<@l᝕<Ḅᭆ᳛GP=3=—.62ூ¬௃®⚪ὃ°±ᩩWP²ᡧWJKPᭆ᳛¤³´´PeP/µHᨵᵨḄ¶·¸¹᪷³]᪛rP]@ᑗvw⚪ᐵ».20.᝞P³5¾WABCD¿h5¾W.1ÁÂPᢥᑡ⌕SÄᡂPdÅᶇPÇÈo᪗ÊËÌজÎACdঝACḄᚖÑ¿ᑖÒÓBCஹADÔEஹFdঞÎ×AEஹCFd2ᑨÙ5¾WAECFḄ᜜W\▊Üᳮᵫ.ூᫀ௃1P᪆25¾WAECFGßWᳮᵫ᪆.ூ᪆௃ூ௃ூᑖ᪆௃1ᢥ⌕SÎ×AC,ᑖEA,CGᙊaᜧÔ^ACáGâãää2ᙠACnåḄÓ¬ᑖEGP,Q,ÑÒPQ,PQᑖE²BC,AC,ADÓÔ¬E,O,F,Î×AEஹCFᓽvd2᪷ᡠḄÒ!ḄᚖÑ¿ᑖÒ¿h5¾WḄឋéêÜ4OAFlOCE,ìᑮOE=OF,eAC²EFíîᚖÑ¿ᑖ᪷IbÒíîᚖÑ¿ᑖḄ5¾WßWᓽv.ூ௃1᝞PAEஹCFGᡠ;

2325¾WAECFGßWᳮᵫ᝞:EFᚖÑ¿ᑖAC,d.OA=OC,EF1AC,V5¾WABCDG¿h5¾Wd.AF஻CE,/.ZOAF=ZOCE,ZOFA=ZOEC,.♦.OAFgOCE,.,.OE=OF,.'AC²EFíî¿ᑖ5¾WAECF¿h5¾WòEF_LAC,•••¿h5¾WAECFGßW.ூ¬௃®⚪ὃ°±¿h5¾WḄឋéᐰ¤CbWḄᑨó²ឋé!ᚖÑ¿ᑖÒḄឋéßWḄᑨó¤ôõÁÂPḄö÷P/ḄᩩøùúBû/Ḅ³ᩩø¸¹hÁÂP⚪Ḅᐵ».21.ᐵÔXḄ@ᐗBþöÿx2-2k-3X+k2+l=0ᨵḄᦪ᪷XIஹX2.1kḄ2!"Xi<0,X2<03&X1X2-|X1|-|X|=6,kḄ.2ூ)ᫀ௃Dk<—2!./0᪆3-4.12ூ0᪆௃ூ30௃ூᑖ᪆௃1᪷567ᨵḄᦪ᪷89:=[-2k-3]2-4k2+l>0,0>ᓽ8@kḄ2ᵫBᐗDE67᪷FGᦪḄᐵGIJkḄK᪷LMஹ᪷LNOPᑨRᓽ89"3᪷5᪷ᙳTU0,ᯠWXᣵZO[9ᑮk2+l+2k-3=6,kḄ06

247ᓽ8.ூ30௃(1)"ᐵUXḄBᐗDE67x2-(2k-3)X+k2+l=0ᨵḄᦪ᪷Z-(2k-3)]2-4(k2+l)>0,09"k<—125(2)Vk<—,1213ஹ169.".Xi+X2=2k-3<----,xiX2=k-+l>---->6144.,.Xi<0,X2<0;(3)*.'X|X2-|X||-|X2|=6,XI<0,X2<0,/.X1X2+(X1+X2)=6,B|Jk2+l+2k-3=6,Z(k+4)(k-2)=0,09"ki=-4,k=2(ᔠ⚪fZgX)Z2•••kḄi-4.ூjk௃l⚪ὃnoBᐗDE67᪷Ḅᑨp>ஹBᐗDE67᪷FGᦪḄᐵGZqrstMuᵨᐵwxy0⚪Ḅᐵz.22.T{|}~ᩭ~ᑮᜧḄZᔜ>ᢗZu⃩ḄA|}Xi50000ᐗZX400ᐗZ&ᓬ@ḄᦪZX¡20%.(1)A|}£¤¡ᐗ¥(2)¦§ᑜ©OBᢇA|}MB|}ᐳ60Z¬B|}ḄOᦪ®¯A|}ᦪḄ°Z±᝞³O´µ¶·ᢇ|}¸ᑭᨬ¤¥A,B|}ḄOM»᝞¼⊤"A|}B|}O»(ᐗ)11001400»(ᐗ)Ḅ»2000ூ)ᫀ௃(1)A|}£1600ᐗ"(2)OA|}2()ZB|}40¾Z·ᢇ|}¸ᑭ.ூ0᪆௃ூᑖ᪆௃(1)¿A|}Ḅ£xᐗZᑣX£i(x+400)ᐗZᵫᓬ@ḄᦪÁÂ67@ᐸ0ᓽ8

25(2)¿©OA|}aZᑣB|}(60-a)Z¸ᑭyᐗZᵫᩩÇ⊤È@yFaLÉḄᐵG>ZᵫaḄÊ8I@yḄூ30௃0"(1)¿A|}£xᐗZᑣX£i(x+400)ᐗZ,Ë5000050000(1-20%)ᵫ⚪fZ9-------=--------------L,x+400x09"x=1600.ÌÍÎZx=1600yÏ67Ḅ᪷.)"A|}£1600ᐗ(2)¿©OA|}aZᑣB|}(60-a)Z¸ᑭyᐗZᵫ⚪fZ9Ð=(1600-1100)a+(2000-1400)(60-a),y=-100a+36000.VB|}ḄOᦪ®¯A|}ᦪḄ°Z60-a<2a,Aa>20.Vy=-100a+360(X).Ak=-100<0,.yÑaḄÒᜧ[T.a=20¾Zy=34000ᐗ..B|}Ḅᦪi"60-20=40.Ó©OA|}20ZB|}40¾Z·ᢇ|}¸ᑭ.ூjk௃ὃnÔᦪḄuᵨZᑖ>67ḄuᵨZÕÖ᪗⚪ZØ@᪗⚪ÙḄᐵGᑡ@67y0⚪Ḅᐵz.23.᝞ÛZÜwÝ0yIABiÞßḄᙊZCiâ0ãBjZDi0CäåæãBjZBCḄäåæçADUE,EDAC=0DCE.(1)!"ADi¾Ḅᑗæ"(2)!"DC2=ED«DA(3)&AB=2,sinD=-,AEḄí.3

26Dîூ)ᫀ௃1!./0᪆2!./0᪆3V2.ூ0᪆௃ூ30௃ூᑖ᪆௃1ᵫᙊᕜðñᳮMówᩩÇ@ADLABᓽ8!.DAyOOᑗæ2ᵫ/DAC=/DCE,/D=/D8w9DECsaDCA,᪷5ôõöð÷Ḅឋù8$”=ᔩ"ADCD,3ᵫ⚪f8wAO=1,0D=3,DC=2,ᵫúûñᳮ8wAD=20,ü᪷5DC2=DEAD,89DEḄíZUy89AEḄí.ூ30௃1;ABi஺0ḄÞßZ.,.ZACB=90°,.ZCAB+ZB=90°,VZDAC=ZDCE,ZDCE=ZBCO,/.ZDAC=ZBCO,VOB=OC,AZB=ZBCO•ZDAC=ZB,JZCAB+ZDAC=90°,AD±AB,•,0Ay஺OþßZDAi஺஺Ḅᑗæ2VZDAC=ZDCE.ZD=ZD,/.ACED^AACD

27.CDDE.•---=,ADCD.,.CD2=DE«AD"3ᙠRt^XAOD
OAAB=1,1sinD=—,23OA0D3,sin஺ACD=OD-OC=2,M■•AD=y/oDr-OAr=242,.,CD2=DE«AD,CD2.DE=V2,ADAE=AD-DE=20-0=0.ூ௃⚪ὃᑗḄᑨஹḄᑨឋஹᦪ!"#ᑗḄᑨ$%ஹḄᑨឋ&'⚪Ḅᐵ).24.᝞./ᱥy=-x?+bx+c9AB<=A(-4,-4),B(0,4)B9ACDy=-gx-6

28ூ'᪆௃ூ'௃ூᑖ᪆௃(1)ᑭᵨᦪ%Qn/ᱥ'᪆T(2)ᐜᑭᵨᦪ%Qn9ABḄ'᪆Tᑭᵨ[\XYḄY$Q'ᓽ(3)ᐜᑨnABAC9ZBAC=90°,᪷NAHF=/AEF,nHᙠEF9ḄᙊIEFḄ
M,᝞.H(0,t),ᵫnEஹFḄᙶ᪗nMᙶ᪗᪷HM='EF,ᐵ=tḄ$'$2ᓽ.ூ'௃(1)A(-4,-4),B(0,4)ᐭy=-x2+bx+cD—16—4஻+c=—4[Z?=—2)'¥)c=4[c=4/ᱥḄ'᪆Ty=-x2-2x+4(2)9ABḄ'᪆Ty=kx+m,-+*=k=2A(-4,-4),B(0,4)ᐭ¥'!m=4[m=49ABḄ'᪆Ty=2x+4,G(x,-x2-2x+4),ᑣE(x,2x+4),OB஻GE,.•.WGE=OB]©GᙠEḄI$XYGEOB[\XY-x2-2x+4-(2x+4)=4,'XI=X2=-2,o]Gᙶ᪗(-2,4)(3)gᙠWx=0]y=--x-6=-6,ᑣC(0,-6),2,.,AB2=42+82=80,AC2=42+22=20,BC2=102=l()0,.•.AB2+AC2=BC2,ABAC9NBAC=90஺ZAHF=ZAEF,...HᙠEF9ḄᙊIEFḄ
M,᝞.H(0,t),VG(-2,4),.-.E(-2,0),F(-2,-5),

29AM(-2,--),2VHM=—EF,222+(t+—)2=—x52,'h=-1,t2=4,24.••HḄᙶ᪗{0,-1|ᡈ{0,-4|.ூ௃⚪&ᦪ®ᔠ⚪⌕ὃᦪ%[\XYḄឋ9Ḅᑨ'{1|Ḅᐵ)&"#ᦪ%'{2|Ḅᐵ)&ᑭᵨ[\XYḄY$Q''{3|Ḅᐵ)&ᑭᵨ±ᙊḄ²$Q'.