2022-2023学年吉林省长春市农安县九年级(上)期中数学试卷(含解析)

2022-2023学年吉林省长春市农安县九年级(上)期中数学试卷(含解析)

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时间:2023-03-16

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1$ÉÊËE⍝Ḅ²X$ᑣ᪷⚪ᑡ¡¢••OOA.(40-2x)(34-x)=960..B.40X34-40x-34x+2x2=960......C.(40-x)(34-2x)=960..D.40x34-40x-2x34x=960郑郑..7.Þß3%=5y(yR0),ᑣᑡåæᡂèḄ()..........KXyxy....A.T3=5B.5Z=37C.y-=57..........8.᝞©ᙠìABCOE//BCð4B¤ñ0,ð4c¤ñE,..OOᑡyᡂèḄ().G..G.AADAE..DBEC.M!...óABAC.您.DBECH)AB__AC7D=AE.-E...cADDE.翔.D-ô=....9.᝞©ñ஺9ö÷*AABCøᜧHúᑮìAB'C',ÞßOBýOB'=2ý3,氐OOᑣ4ABCþAA'B'C'Ḅ☢Ãÿ.塘........tti.堞郦堞............K-G....G..A.13B.19C.23D.49...®....G.10.᝞ᙠ4BC=90°,AB=8,.OG.O..AD=3,BC=4,PAB!"#^PAD^^PBC....%&'(ᑣ*+ᩩ-ḄPḄ/ᦪ%......宅氐....A.1/B.2/C.3/D.4/..........IIᔁ⌱⚪..............OO2ஹ45⚪ᐳ108⚪ᐳ40.0ᑖ....11.⌕;<ᨵ>?ᑣaḄABD%.....E2⚓ᐳ16⚓....

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7..........᪷⚪FbÍNY°sλ²ᑮᨬ¹ÏbÐÏᑣ▢ÒÓᑖḄÔ(40-2x)ÖOO×(34-x)Öᯠ"᪷Ô8Ḅ☢Ø=Ôஹ×ᓽNᑡÛ¥Ḅ8.....%⚪ὃ(ᵫÜ▭Þ⚪ßàwᐗ852%⚪ḄᐵTBáÍNY⻲"Ḅ....Íãäᐵ«°åᩖÞ⚪ᓫᓄ.....郑郑..7.ூ2ᫀ௃B............54ஹ^=êNYᓄᡂ5x=3y,ᦑO⌱⚗┯î............Bஹ*NYᓄᡂ3x=5y,ᦑO⌱⚗.O.O.Q.Cஹ=|,NYᓄᡂ5x=3y,ᦑO⌱⚗┯î.Q....M!.஺ஹ1=NYᓄᡂxy=15,ᦑO⌱⚗┯î....您.ᦑ⌱:B.3宏...ᑭᵨñòḄឋô>¯,yõöᐵ«q>2ᫀ..-E.....O⚪⌕ὃ()ñòḄឋôPQñòḄ÷%ឋôB5⚪ᐵT..翔.........氐.OO8.ூ2ᫀ௃D...塘.5DE//BC,....ø=◤⌱⚗AᡂäAEᔠ⚪F..UDCLtti..ü=ý⌱⚗BᡂäAEᔠ⚪F堞郦堞UDLC......◤=%⌱⚗CᡂäAEᔠ⚪F....ADAE..K-Q....Q....ÿ=⌱⚗஺ᡂᔠ⚪.®...ADDC.Q...OQOᦑ⌱D.....᪷ᑖᡂᳮᑡᑨᓽ!.....#⚪ὃ%Ḅ'ᑖᡂᳮᮣ)*ᵨᳮஹ-./0ᐵ2'3⚪Ḅᐵ4.....区氐9.ூ8ᫀ௃D..........3ᵫ<=>ᣚḄឋA!BA'B'//AB,AC"AC,..........,OA',---OB'ߟ---3....••04ߟ஺8-2....OO.A'C_04'_3..ACOA2....AB'C'GZMBCḄJ=K32...N8⚓ᐳ16⚓....

8•,.[ABCG[AB'C'Ḅ☢]^K49.ᦑ⌱D.᪷<=>ᣚḄឋA`ᑮ&B7/48,A'C7/AC,᪷ḄឋAf4A'B'C,AABCḄJ=᪷J=ghiḄឋA`ᑮ☢].#⚪ὃ%Ḅ'<=>ᣚḄᭆklឋA᝞nopqir'J=qist/0⚔vḄwJxyzv/0{|J}~᪵Ḅopqi<=qipv<=.10.ூ8ᫀ௃C3:VAB1BC,.B=90°.•%•AD//BC,•4=180஺z43=90஺.ᓃPAD=Z.PBC=90஺.48=8,AD=3,BC=4,.________JApB4PḄKx,ᑣBPK8—x.B{ᙠPv[PA஺GAPBCJ=}~ᑖoজAAPDsABPC,ᑣAPBP=AD)BC,ᓽ(8-x)=34,3`=ঝAAPDsaBCP,ᑣAPBC=ADBP,ᓽx4=3(8-x),3`x=2ᡈx=6.);¨©ᩩ«ḄvPḄpᦪ'3pᦑ⌱C.ᵫy“஺=PBC=90°,ᦑ⌕[24஺G4PBCJ=ᑖo¯°জ[APDFBPC,ঝ[APD-ABCP,o²!³᪷J=ghi/0{ḄJ´f2PḄᓽ!`ᑮPvḄpᦪ.#⚪µ⌕ὃ%¶J=ghiḄᑨ·ឋA¸¹〉»ᑖ¼¯°'3⚪Ḅᐵ4.11.ூ8ᫀ௃aWO3᪷¿À᪷ᨵÂḄᩩ«!`-a>0,ᡠ³a<0,ᦑ8ᫀKaSO.᪷¿À᪷ᨵÂḄᩩ«ᓽÆÇÈᦪKÉÊᦪᑡ´38ᓽ!.

9#⚪ὃ%¿À᪷ᨵÂḄᩩ«ᳮ3“ÊᦪËᨵÈ᪷”'ÍÎᑨḄÏÐ.••OO....12.ூ8ᫀ௃7....3ÑKÒ'᦮ᦪ!`Í᦮ᦪnḄᨬÖ×'7,..ᦑ8ᫀK7.郑郑..᪷¿À᪷ḄÂ38ᓽ!.............#⚪ὃ%¶/¿À᪷ḄÂḄ0ᵨØ᪷¿À᪷ḄÂ`ᐵyxḄ´'3........Ù⚪Ḅᐵ4i᝞Ú(a20)ḄÛ¿À᪷.......OO.Q..Q.13.ூ8ᫀ௃32...M!.3•.•ᨬÜ¿À᪷/eGa-yy"'༿À᪷...您.¿2b+l=7—b,CL-1=2,H)3`b=2,a=3,.-E...ᦑ8ᫀK3,2..翔...᪷ᨬÜ¿À᪷ḄÆÇÈᦪJà!`8ᫀ...氐#⚪ὃ%¶à¼¿À᪷3ä#⚪Ḅᐵ4'åÎ༿À᪷ḄÂ.OO.塘...14.ூ8ᫀ௃æ^z1t/<:0.....tti.3••ᐵyxḄzᐗ¿ÀÈèkM+2x-1=0ᨵopêᦪ᪷堞郦堞•••/=b2-4ac=4+4k20,k10,......3`kN—1í......K-Q....Q..ᦑ8ᫀK/£2-1t஺0....®....Q.✌ᐜᑭᵨ᪷Ḅᑨò[=b2-4ac=4+4k>0,᪷zᐗ¿ÀÈèḄÂ`k*0,.Q.OOoὅõᔠ`8ᫀᓽ!.....#⚪ὃ%¶zᐗ¿ÀÈèa/+bx+c=0(a*0,a,b,cKöᦪ)᪷Ḅᑨò.44>0,......ÈèᨵopJ´Ḅêᦪ᪷÷[=(),ÈèᨵopJ´Ḅêᦪ᪷÷A<0,ÈèËᨵ..êᦪ᪷.³·zᐗ¿ÀÈèḄÂ.宅氐..............15.ூ8ᫀ௃4..........3'Èè%2-4x-2=0Ḅzp᪷....OO•••m2—4m-2=0,....m2—4m=2,....N10⚓ᐳ16⚓....

10•2m2-8m=2(m2—4m)=2x2=4.ᦑ8ᫀK4.ᐜ᪷zᐗ¿ÀÈè᪷ḄÂ`ᑮzn?z4m=2,ýþ2m2z8nl>iK2(m2z4m),ᯠᑭᵨ᦮ᐭḄ.⚪ὃᐗḄᐗḄ!"ᦪḄ$%ᐗḄ.16.ூ*ᫀ௃-12/3=2715ᦑ*ᫀ68.78ᑭᵨ9:;ᐭ<=*ᫀ.>⚪?⌕ὃAᦪḄBCDEBᵨ9:;%⚪ᐵG.17.ூ*ᫀ௃6,Q஻b஻c,..M=NCBCEF.=OC2EF:.EF=6,ᦑ*ᫀ66.ᵫa஻஻/c,SᓽSWX⚪.oCDF⚪ὃ[\]ᑖ]_ᡂab:ᳮC⚪ḄᐵG%DEdᵨ[\]ᑖ]_ᡂab:ᳮ,efgὃhὃ⚪i.18.ூ*ᫀ௃6k4Ḅmᙶ᪗6-1CkCḄmᙶ᪗61,ᑣ]_4Bᐜᔣ[u2vᓫxC••kBḄmᙶ᪗61,k஺Ḅmᙶ᪗63,ᓽb=3,{ᳮCa=3,a+b=3+3=6,

11..........ᦑ*ᫀ66.OO᪷~[uḄឋᑖ=aஹbḄ$CᓽS.....⚪ὃḄ%ᙶ᪗ᓄ-[uCᙠ[☢7ᙶ᪗gCḄ[uTk....Ḅ[u{.[ugkḄᓄ%mᙶ᪗uCuᙶ᪗uCu.....[uᣚᙶ᪗ᓄḄ%⚪ḄᐵG.郑郑............19.ூ*ᫀ௃6..........••ABCD6C......OOAC1BD,AB=BC=CD=DA,.Â..Â..•.4஺஺67O....M!.•••0E=3,kE6]_4஺ḄgkC...您.•••AD—20E—6.3宏•••BCDḄ66,....-E.....ᦑ*ᫀ66..翔.....ᵫḄឋS<=4c1BD,AB=BC=CD=DA,᪷~7O¡Ḅg]....氐.f¡Ḅ¢<=Ḅ.OO..⚪ὃḄឋ£¤7OḄឋC⚪ḄᐵG%=AD=6.⚪ef¥.塘...Ạ⚪C§¨©ᜧCW«⚪i⚪¬C᪷~Ḅឋ®=¯]°ᚖ7C²³7....ttiOḄឋ®=Ḅᩩᡂ%ᐵG...堞郦堞......20.ூ*ᫀ௃40.....K-Â.....Â..•••4B1BC,CD1BC,...®....Â.**•/CDE,..OÂO..••µµ‘....vBE=20m,CE=10m,CD=20m,....AB_20../C20=10区氐<AB=40,..........ᦑ*ᫀ640...........ᵫ¯dS⚪?⌕ὃ»OḄdᵨᵨᑮḄ"½k6¯dḄO»;........¿12⚓Cᐳ16⚓....

12»OḄ¯dᡂab.21.ூ*ᫀ௃ÊË=2Ì-2b-3Í+3Î=V5—V3-ூ᪆௃78ᓄÒ᪷ËCÓµᔠÕ{Ö᪷Ë<=*ᫀ.>⚪?⌕ὃ᪷ËḄCDEᓄÒ᪷Ë%⚪ᐵG.22.ூ*ᫀ௃x2+4%-5=0,(x+5)(x-l)=0,%+5=0ᡈx—1=0,ᡠ£ß=-5,x=1.2ூ᪆௃ᑭᵨàËᑖáÊâᓄ6x+5=0ᡈx-1=0,ᯠvᓽS.⚪ὃᐗ-àËᑖàËᑖä%ᑭᵨàËᑖ=ḄḄCåæÒç᧕ᵨC%ᐗᨬhᵨḄ.23.ூ*ᫀ௃᪷~ᦪêS<c0,c—a<0,b+c<0,7a2—|a-b|+C(c—a)2+\b+c|=a—(a—b)—(c—a)—(/?+c)=a-a+b-c+a-b-c=a—2c.ூ᪆௃ᐜ᪷~ᦪêᑨïa,b,cḄDðᦪC᪷~ñ¯$Ḅò;ᓄÒ.⚪ὃ᪷ËḄᓄÒ$Cñ¯$ḄᓄÒ%⚪ḄᐵG.24.ூ*ᫀ௃᪷~⚪ò<:56(1-%)2=31.5,<:=0.25,x=1.75,X12õö÷ফ=1.75©ùᔠ⚪òCᑣx=0.25=25%.*úûüÌᑖ᳛625%.ூ᪆௃þ«ÿᙳḄᑖ᳛X,᪷Ḅ=Ḅ(1-Ḅᑖ᳛)ᑣḄ56(1-x),!Ḅ56(1-x)2,

13..........#ᓽ%ᑡ'()*.OO#⚪-⌕ὃ01ᐗ!'(3ᵨᐵ6᪷⚪78ᑮ:;<=Ḅ⊝ᩩ@AB....C⚪-⌕*DEᓄḄ⊝ᐵGᑡH'(*Iᓽ%.........25.ூIᫀ௃MNO•••ᙠ'(R+kx+k-3=0W4=Y-4x1x(k-3)=᮱ᒹ+郑郑..12=("2)2+8>0,..........••_`kabcᦪe'(fᨵ+8>0,ᵫ#ᓽ%M....OOHO_`kabcᦪe'(fᨵ0v'(ᨵ14••/EDC~2DAF\(2)*O••~=z/BCDz:.DC=AB=3,Z.ADC=zC=90°.••CE=1,:.DE=>JDC2+CE2=V324-l2=V10.vAF1DE,:.LAFD=90°=ZC,/-ADF+Z.DAF=90°.••^ADF+^LEDC=90°,♦EDC=Z-DAF,EDCsுDAFf.=ᓽ=JL,ADFD'2FD••᧤uᓽDFḄᓩ.ூ*᪆௃(1)᪷~=z4BCDz%oHN40C=4C=90஺᪷ix¡¢zḄᑨ££ᳮ%oH¥ADF^nDCE,ᵫix¡¢zḄ¦3=ᡂ¨©ᓽ%oHk`ª(2)ᵫzḄឋ|%oH஺CḄ«N4DC=NC=90஺ᑭᵨ®£ᳮ%)HDEḄᵫᚖ°Ḅ£±%oH44²஺=NC,ᑭᵨ³¢Ḅ´¢i:%oHNEDC=ZO4µ¶·%oH¸EDCfDAF,ᑭᵨix¡¢zḄឋ|%)HDFḄ.q⚪ὃ0Ḅix¡¢zḄᑨ£¹ឋ|º«ᚖ°Ḅឋ|»zḄឋ|¼ᵨ½᪷⚪7oH¥ADF-^DCE*I#⚪Ḅᐵ6.28.ூIᫀ௃yூ*᪆௃(1)MNO¾8஺ᑮE,¿oDE=B஺ÀÁAEஹCE,᝞y2ᡠÅO•••8஺Æ=ACÇḄWÈ:.AD=CD,y2•DE=BD,••~=z4BCEÉ~=z,)4ABC=90°,!É~=z4BCEz•BE—AC9

15VDE=BD=)BE,OO•••BD=^AC......(2)*:ËÌ4ᙠABÇ'AHJ.4B,ËÌ஺DHÍH,ËÌBᙠABÇ'BR1AB,....ËÌEER1BR;R,ÀÁCHஹCRஹHR,¾REÎAHÍQ,郑郑᝞y3ᡠÅO..........ᑣ~=z"¸7ஹ~=zCBREஹ~=z4BRQfz........!~=zHQEDஹ~=zQ4CEᙳz........■■■HQ=DE=CD-CE=8-3=5,QR=AB=12,OO..ᙠRt¥"(?/?Wᵫ®£ᳮoOHR=y/HQ2+QR2=V52+122=13....鼠.•••ÌF,Gᑖn4஺»BEḄWÌ~=zAC஺"ஹ~=zCBREfz,....!ÌF,GᑖnCH»CRḄWÌ.您..²6¸C”RḄWÏÈH...113-E.FG=Ð/?=Ó...翔...ᦑIᫀO.氐(1)¾BDᑮE,¿oDE=B஺ÀÁ2EஹCE,M~=z4BCEÉ~=zᵫOO.塘.AABC=90°,oÉ~=z4BCEzᑣBE=AC,¶·oHk`;....(2)ËÌ4ᙠ48Ç'4H1AB,ËÌ஺஺H1AH^H,ËÌBᙠ4BÇ'BR1AB,...tti.ËÌEER1BRÍR,ÀÁCHஹCRஹHR,¾REÎ4HÍQ,M~=zHQEDஹ~=盘堞郦zQ4CEᙳz=HQ=DE=CD-CE=5,QR=AB=12,ᵫ®£ᳮoHR=..........13,ᯠMFG¥(?"/?ḄWÏÈᓽ%)*...K-......q⚪ὃ01zḄᑨ£¹ឋ|ஹÉ~=zḄᑨ£¹ឋ|ஹ®£ᳮஹ¡¢zWÏÈ£..磐.....冰.OOᳮº«×ᓄØÙ:ÚÛzḄᑨ£¹ឋ|MNFGACHRḄWÏÈ*..⚪Ḅᐵ6...........宅氐..........................OO........16⚓ᐳ16⚓....

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