2022-2023学年河南省郑州市高新区九年级(上)开学数学试卷(含解析)

2022-2023学年河南省郑州市高新区九年级(上)开学数学试卷(含解析)

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时间:2023-04-15

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12ya<-2,ᦑᫀa<—2.ᐜ-ᔜ%j¢£᪷¶·j¢¯°±ᦪᑡ-ᐵXaḄj¢ᓽ+yᫀ.3⚪ὃ6j¢¯⚪Ḅᐵ;:¹ºj¢ᐳ»ḄB.13.ூᫀ௃12:••2ABCSAA'B'C',4஺4஺:¼½Ḅ¨¾ᑖ,AD#A'D1=43,^A'B'C'ḄÀÁÂ43,.L&ABC=4஺LAA7B7C7ḄᕜV16,^b.AiBfC>y=12.ᦑᫀ12.᪷¶ÀÁḄឋ~¨¾ᑖḄÂXÀÁÂᕜVḄÂXÀÁÂ2ᓽ+.3⚪ὃ6Ḅ:ÀÁḄឋ~ÄÀÁᕜVḄÂXÀÁÂ:¤⚪Ḅᐵ;.14.ூᫀ௃2UVCFஹB4WXM,:CDḄ["F:AEḄ[",#.EF=AF,CE=^DC,2•••=>BCD:¾Ç=•••DC//AB,DC=AB,CE=-AB,Z.ECF=ZM,2ᙠaCEF^Ê=[Z-EFC=Z.AFM)ECF=4M,ஹEF=AF

13........•.2CEF=LAMF(44S),Oo:.CE=AM,.....vCE=-AB,2...:.BM=3CE,.郝郑•DC//AB,......**•2CEG=XMBG,..........CEEGi..:.—=—=—,..BMBG3........ovBE=8,O..GE1•.---=.8-GE3.鼠...yGE=2(ËÌÍÎᔠ⚪Ð)..蒯ᦑᫀ2.笈I-UVCFஹB4WXM,᪷¶ÑᩩÓy-EF=AF,CE=\DC,᪷¶¾Ç=Ḅឋ~....£-....y-DC஻718,DC=AB,᪷¶ᐰḄᑨ9y-ACEF^M4F,᪷¶ᐰ..郑....Ḅឋ~y-CE=AM,2-BM=3CE,᪷¶ÀÁḄᑨ9y-^CEG"MBG,...氐O᪷¶ÀÁḄឋ~y-ÂÕ¢£2-ᫀᓽ+.o..热.3⚪ὃ67¾ÇḄឋ~¾Ç=Ḅឋ~ᐰḄឋ~ᑨ9ÀÁ...Ḅឋ~ᑨ9"Ö×ᔠØᵨ"ÙÇÚᳮÛÜ:¤⚪Ḅᐵ;..祖..期摒邮15.ூᫀ௃V3.........氐.•••^?”ᵫ^EBCᢚßàᡂ..........•.2EFC=LEBC,.姆.....冰..43=44,/.B=Z.EFC=90°,BC=CF=3,Oo..,Q:BCḄ["...ACQ=|BC,....:.zl=30°,z2=60°,氐S•Z.FCQ=60°,.......43=44=30°,.......ᙠRt^BEC[.....ovZ3=30°,O..•BE=BC•tan300=3xy=V3,.....O14⚓ᐳ23⚓.

14EF=BE=V3.•••45:ACGFḄ᜜,•z5=zl+z4=60°,:.z5=z2=60°,.•.^EFG:•••GF=EF=äᦑᫀV3.ᐜ᪷¶AEFCᵫ^E8Cᢚßàᡂ+AEFC^EBC,ᦑ43=44,zfi=Z.EFC=90°,BC=CF=3,ᵫXQ:BCḄ["+CQ=2BCᦑN1=30°,Z2=60஺ᡠ4FCQ=60°,ᦑN3=N4=30஺ᙠRtABEC[ᵫḄឋ~+y-BEḄV£ᵫ᜜Ḅឋ~ᓽ+y-45=60஺ᦑ+y-AEFG:ᦑ+y-åæ.3⚪ὃ6Ḅ:çᢚèᣚÄᢚß:êëìèᣚ¼íXîìᢚßïcḄðᜧòjèóôèᓄ¨¨À:¤⚪Ḅᐵ;.16.ூᫀ௃(1)öᑖ÷y2x(x-1)-x(x+2)=(x+2)(x-1),öøùy2/—2x-2x=X?+%—2,ᓽ5x=2,yx=|,ËÌÍx=|:·BúḄN(2)x2-4%+1=0,x2—4x=-1,%2—4x+4=—1+4,ᓽ(x—2)2—3,x—2=+V3»:.x=2+V3x=2-V3-x2ூ᪆௃(1)ᑖ¢Búöᑖ÷üᓄ᦮¢Bú2-᦮¢BúḄyᑮ%ḄᓽᑮᑖḄ(2)ᑭᵨ.⚪ὃᐗᑖ!"(2)Ḅᐵ$%ᑖ&ᓄᡂ᦮"(1)Ḅᐵ$.

15........17.ூ.ᫀ௃12=[5®+1)]+/ᩩOO..Q?—1—(Q+1)((2—3)(a—3)2..Q-3Q+1..(Q+1)((1-1-Q+3)(Q—3)2....CL-3Q+1__2(a+1)(a-3)2郝郑Q-3Q+1......=2(a-3)..........=2a—6,..........,a=-1ᡈa=3G,2HIJ..OO•••aLM1ᡈ0,....OQ=1G2=2-6=—4.(Oa=0G2=-6.).鼠...ூ᪆௃RSTᑁVWXᑖYZ⚗VW\ᑖ◀&ᓄ^_ᓄ`aᑖᓽ..蒯ᑮᓄ`Ḅbc᪷eᑖᨵIJḄᩩgᑮ஺ḄMiᐭkᓽ.笈I-.⚪ὃᑖḄᓄ`k%᦮lᡂᑖm"1ḄᑖᦪVWXᑖ"⚪Ḅᐵ$...£-.......郑.....18.ூ.ᫀ௃11.5....OfeO..热.....祖...期邮摒.......氐..............姆....冰...OO..........氐S.(3)SுABC=2X3——x1x2——x1x3——x1x2=—»..........ᵫtuvw4BCz{Ḅ☢}^SMBC+tW~ᓰ/8Ḅ☢}=|+3X3=11.5,.......ᦑ.ᫀ^111.5..OO(1)᪷etuḄឋwABiQ...(2)᪷eYḄឋA4B2c2....16⚓ᐳ23⚓...

16(3)᪷etuḄឋvwABCz{Ḅ☢}^S0BC+tW~Ḅ☢}⚪.⚪⌕ὃ-tuᣚ&ᣚḄ☢}¡v¢£¤¥¦tu&Ḅឋ"⚪Ḅᐵ$.19.ூ.ᫀ௃(1)¨©1•/=[(2k+3)F-4xlx(k2+3k+2)=l>0,H®kM¯G°ᨵ±²³ᦪ᪷.(2)1•.•/_(2k+3)x+1+3k+2=0Ḅ^1(2/c3)±Vl(2jH^±lᓽx[=k+2,¹=4+1x=+=)■■•AB.ac"Ḅ±²³ᦪ᪷•ABHAC7•BC=5,•Ok+2=5,ᡈ/c+1=5GwABC"¡Ὺ»¼:.k=3ᡈ4,ᦑOk^3ᡈ4GwABC"¡Ὺ»¼.ூ᪆௃(1)⊤¾᪷ḄᑨÀ᪷e᪷ḄᑨÀḄÁᓽ!Â᪷ḄÃÄ(2)ᵫ(1)ᑮB*AC,ᑖ4C=BCAAB=BC±ÅÃÄkkḄᓽ.Æ⚪ὃ᪷ÇÈᦪḄᐵÈÉÊḄv¢ᨵ1ᐗ᪷ÇÈᦪḄᐵÈ᪷ḄÃÄᑨËÌÊ¡Ὺ»¼Ḅឋ£¤¥¦ÍÎᑣ"⚪Ḅᐵ$.20.ூ.ᫀ௃tW~AC1BDAC=BDAC1BD,AC=BD1(1)b®1~EFGH"tW~ᦑ.ᫀ^1tW~.(2)ÒÓAC,BD,•:~4BC஺EஹÕஹGஹHᑖÀ^48ஹBCஹCDஹDAḄØEH//BD,FG//BD,#.EH//FG,Ùᳮ1GH//EF,~EFGH"tW~.(3)O4clBOG~EFGH"Û.

17........•••ᵫ(2)1~EFGH"tW~OO"AC1BD,EH//AC,EF//BD....EF1EH,....#.4FEH=90°..•••~EFGH"Û.郝郑..ᦑ.ᫀ^1ACJ.BD...........(4)O4C=BDG~EFG”"Ü.............HG=-AC,EH=-BD,....22OO•••EH=GH,....•••~EFGH"Ü.鼠...ᦑ.ᫀ^1AC=BD...蒯(5)OACBDÝ4c=8஺G-~EFGH".笈I-.••AC1BDG~EFG""ÛAC=BDG~EFGH"Ü..£-.....~EFGH"...郑.....ᦑ.ᫀ^1AC1BD,AC=BD.....氐O(1)Þß1~EFG""tW~.O..热.(2)ÒÓBD,AC,᪷e±àYᑖÀtḄ~"tW~~EFGH"tW....~.祖...(3)᪷eᨵ²¼"á¼ḄtW~"ÛvO~4BCDḄY¼âãäAC1期摒邮8஺ḄᩩgG~EFGH"Û..........氐.(4)᪷eåæ¡ḄtW~"ܨ©ᓽ...........(5)᪷eᨵ²¼"á¼åæ¡ḄtW~"¨©ᓽ..姆.....冰..⚪ὃØ~»¼çâÂᳮtW~ḄᑨÂឋÛḄᑨÂឋOO..ÜḄᑨÂឋḄᑨ¡v¢£èᔜÂᳮ"⚪Ḅᐵ$.........21.ூ.ᫀ௃1(1)ê4Ḅᓫì^xᐗBḄᓫì^yᐗ᪷e⚪I1氐(3x+2y=130S(5x+4y=230'.....(x=30...%=20-.......•••aḄᓫì30ᐗBḄᓫì20ᐗ.....O(2)êíî4ᝄðm²ᑣíîBᝄð^(40-ñ)²O.......18⚓ᐳ23⚓...

18ᵫ⚪Iv3J஺ò,(30m+20(40-a)<920A100,Om=10GWMᨬRᨬR^900ᐗ.•íî/Åᝄð10gGíî°ôᵨᨬõ°ôᵨᨬõ"900ᐗ.ூ᪆௃(1)ê4ÅᝄðḄᓫì"öᐗ8ÅᝄðḄᓫì"yᐗ᪷e“øᦪ=4Åᝄðᓫìxᦪù+BÅᝄðᓫìxᦪù”ᑡᐵüXஹyḄᐗààᓽb®(2)êíî4ÅᝄðzngᑣíîBÅᝄð(40-TH)g᪷eíîôᵨöý{920ᐗÝAÅᝄðḄᦪùöRüBÅᝄðᦪùḄþᑡᐵümḄᐗö¡àö¡àᓽmḄMᔠᦪᐵᓽwaḄᦪᐵ᪷ᦪḄឋᨬ⚪.!⚪ὃ#$%ᐗ'()Ḅ*ᵨ,ᐗ-./Ḅ*ᵨ⚪Ḅᐵ012(1)45.ᐵ67ᑡ%ᐗ'()9(2)᪷ᔜᦪḄᐵ67ᑡᐗ-./.22.ூ<ᫀ௃|29|3452ூAB௃᝞DজF,জVDE//BC,AED^AACB,.AD_DE_1•AB~BC~29•DE=5•BC=10.ூHI௃᝞DঝFKL஺NDM஻PQBERM.

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20EF4m2*———,•FB-6m-3’vS^ADC=1BD=2AD,AC=3AE,S&DCB=2,S&DEA=pS>ABC—3S^=1AEB•••S^DEB=3»C_3c_2*,ஹXBDF~5,ஹ&BDE=5«ᦑ<ᫀl2|ூAB௃ᵫDE஻BC,noAED7ACB,*=⋰=9,ᵫrsH1BCᓽ.ADBL2ூHI௃LDNDM஻4CQBERLM,᧕uoDFMfCFE,ᑣᘤ=x=|yzᑮᘤ(-«CC«aSrxlLḄl:᧕uoCBM—4BE,ᑣᘤ=ᘤyzᑮ}Ḅl2,yzᑮ~Ḅl;.3BEAEMEBF4ூ*ᵨ௃᝞DঞF஺E,N4/?஻CFQBERR.uBF2EF=322,soBDEḄ☢ᓽ⚪.!⚪Rᔠ⚪ὃ#$Ḅᑨ.ᑖᳮḄ☢..B⚪Ḅᐵ01ᵨ¡¢᪀⌼⚪ᑭᵨr¦⚪RFὃ§¨⚪.23.ூ<ᫀ௃2পªy=0,ᑣx=-2,•••A(—2,0),ªx=0,ᑣy=6,•••8(0,6),••OA=2,BO=6,KL஺NCH«¨RH,•ᓃCAD+/.BAO=90°,/.BAO+)ABO=90°,:.Z-CAD=Z-ABOf•Z,AHC=)BOA=90°,ᵫ¬4B=/C,D1/.2ABO^LCAH(AAS),•CH=OA=2,AH=BO=6,•OH=AH-OA=4,

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