2023年四川省南充市中考数学试卷

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2018
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0+sin45°+1
ூὃ&௃2CRᦪḄ6Eᢣᦪ6F᦮ᦪᢣᦪ¢T5ᱯ£Ḅbᦪ¤.ூj⚪௃1::¦⚪§.ூᑖ᪆௃X¨ᑭᵨᢣᦪ©Ḅឋª«᦮ᦪᢣᦪ©Ḅឋஹᱯ£Ḅbᦪ¤ஹa᪷¬Ḅឋᑖᓄ¯ᫀ.V2ூ௃°¬e-1-1+—+23V2!2ூ&'௃(⚪±⌕ὃ+²Rᦪ"[\ᓄ¯ᔜᦪ0⚪ᐵ/.18.6.00ᑖs2018•ᓭᐙ᝞
"´uAB=AD,AC=AE,ZBAE=ZDAC.µNONE.

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,AZC=ZE.ூ&'௃|⚪ὃ+²ᐰVḄᑨ-<ឋᑨnᐰVḄOtᨵ"SSS"ஹ“SAS"ஹ"ASA"ஹ"AAS"ᐰVḄz}V"z}ÇV.19.6.00ᑖs2018•ᓭᐙ"ÉᜩËÌ!U"ᏉÎÏ!ÐÑ”.%²⌱Ô“□ᐝᜧØÙ"⚞Ûᕒ"᪥ÞßàZáâã⌱ᩭḄ15å⚞Ûᕒæçè"ᡂê᝞C⊤ᡂê/ᑖ78910ìᦪ/ì2544s1íÞᦪḄîᦪ08ᑖ"Zïᦪ09ᑖ.s2
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202
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22•Ḅ⊤µ6Ay=-·x1••B(n,-1)ᙠy=--2x••BḄᙶ᪗A(1,-1).1;y=kx+b³´A(2),B(1,-1),1.-2k+b=2,%'¹º2,lk+b=-lS=1.•.Ḅ⊤µ6Ay=-2x+l,1r(2)my=-2x+l=0v2x=521••C(k20).2¬PḄᙶ᪗A(x,0),1VSABP=3,A(-2),B(1,-1),A1.1,1,1-X3x—=3,ᓽx—=2,22235%'X1=-X2=~.22ூ^௃_⚪ὃb»¡¢£ᦪk=£ᦪḄ¤⚪ஹk=¡¢9£ᦪ¨Ḅᙶ᪗ᱯªஹ¼"ᦪ$k=£ᦪஹ¡¢£ᦪḄ%᪆6@cqiḄ☢¯2%⚪Ḅᐵef1
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1.᪷qiḄ☢¯56@cSABP=3,',Ix--|=2.A

2322.8.00ᑖ92018•ᓭᐙ9᝞2Cf஺Ok2Pᙠ¾ABḄ¿À,஺஺ḄÁ¾A3,PB=2,PC=4.1
$PCf஺0Ḅᑗ.(2)$tanNCABḄ.ூὃ௃M5ᙊᕜ"ᳮMEᑗḄᑨ"ឋÇT7%qi.ூ⚪௃14È⚪55AᙊᨵᐵḄÉᐵ55DiḄÊ55E%qicᐸᵨ.ூᑖ᪆௃19&@È0c2+PC2=Op2'^£0fqi2ᓽ0CJ_PC,PCf©0Ḅᑗ2

ABf¾2'NACB=90஺2z´Ḅᐵ&@ÈPBCS^PCA,ÑÒBCPB21,ஹBC1—=—=-=k2',tanNCAB=—=ACPC42AC2ூ%8௃%19᝞2ÓÔOCஹBC:GoḄÁ¾A3,PB=220C=0B=3,0P=0B+PB=5VPC=4AOC2+PC2=OP2/.OCPfqi,2PCf஺0Ḅᑗ.

24(2)ABf¾2ZACB=90°Z.ZACO+ZOCB=90°VOC±PC/.ZBCP+ZOCB=90o/.ZBCP=ZACOVOA=OCZA=ZACO/.ZA=ZBCPᙠaPBC4PCAZBCP=ZA,ZP=ZP/.PBC^APCA,•BCPB21••———ACPC42BC1/.tanZCAB=—=kAC2ூ^௃ä⚪ὃbᙊḄᐵKåæç"ᳮ⌮"ᳮஹq£ᦪNᑁê2/ÈÊqif%ë¤⚪Ḅᐵe.23.10.00ᑖ92018•ᓭᐙ9ï├ñᖪóᜓᙠᓭᐙ{õkᢇ÷ø2³ùb2ᵨ10000ᐗ{õA÷øḄoᦪᵨ8000ᐗ{õB÷øḄoᦪN2koA÷øÑú¡koB÷øÑú?100ᐗ.19$koAஹB÷øḄÑúᑖA?ûᐗü29ý├ñᖪõÑAஹB÷øᐳ50o2ᐸAḄoᦪ\ᜧBḄᦪ16Am.জmḄ.ঝAḄ800ᐗ/├ᡂ&'2nᐗ/;BḄ'600ᐗ/├ᡂ&'nᐗ/.᝞,50WnW150,├0ᢇḄᨬᜧᑭ5w8ᐗ9:n8ᐗ9Ḅ;ᦪᐵ=>8?├ᑭ5=--├ᡂ&9.ூὃD௃B7Gᑖ>IJḄKᵨMFHGPQ;ᦪḄKᵨ.ூR⚪௃12BGTUV⚪M33G;ᦪXYM34GIJXYM522Gᑖ>IJ[K

25ᵨM533GPQ;ᦪ[ᐸKᵨ.ூᑖ᪆௃(1)᪷a⚪bKᵨᑖ>IJᓽdM(2)জ᪷aᩩfdgᑡiᐵmḄj>kmḄMঝ&Vf✌ᐜ᪷a⚪bdgᐜᑡi├ᑭ5y:mḄ;ᦪᐵ=nopqᡠstunḄvᑮw:nḄ;ᦪᐵ=.ூxy௃xG(1)BḄ'xᐗᑣAḄ'(x+100)ᐗ……Po1000080000᪷a}~vG----=-----X+100Xxvx=400Tx=400'IJḄx.,.x+100=500yGPAஹBḄᑖ'500ᐗ400ᐗ.(2)জ᪷a⚪bvG(m<50—m[m>16mḄ'G160m=25├0ᢇḄᨬᜧᑭ5w=25(100-n)+10000-50n=-75n+12500()n=100100-n=0,├0ᢇḄᨬᜧᑭ5w=5000(IH)100IJஹj>kg[PQ;ᦪḄᐵ.ᙠ(2)VঝfPὃ᝞xsᨵtu=ᦪḄPQ;ᦪᨬV⚪.

2624.810.00ᑖ982018ᓭᐙ9᝞ABCDfAC=2AB,ABCDDAvᑮABCD¡DBḄ¢KDB,£ᙠAC¤B'C'¦ADDE,ᙠB'C¤DF,¡B'F=AB.819¨GAE=C'E.829NFBB'Ḅªᦪ.839AB=2,BFḄ«.ூὃD௃LBGḄឋ®MR2GḄឋ®.ூᑖ᪆௃819ᙠ°±²±ABCfᵫAC=2AB,vᑮNACB=30஺µᵫᢚ·Ḅឋ®vᑮP¢±jᑭᵨj±¢j¸ᓽdv¨M829ᵫ819vᑮAABB'j¸²±ᑭᵨḄឋ®[j¸²±Ḅᑁ±'60°,ᓽdiᡠ±ªᦪM839ᵫAB=2,vᑮB'B=B'F=2,NB'BF=15°,oB»BHBF,ᙠ°±²±BB'Hfᑭᵨ┦±²±;ᦪ½¾iBHḄ«ᵫBF=2BHᓽdiBFḄ«.ூxy௃819¨¿G,ᙠRtZXABCf,AC=2AB,...NACB=NAC'B'=30°,ZBAC=60°,ᵫdvGAB'=AB,ZB,AC=ZBAC=60°,,NEAC'=NAC'B'=30°,.,.AE=C,EM829xGᵫ819vᑮaABB'j¸²±...NAB'B=60°,AZFBB=15°M

27(3)xGᵫAB=2,vÄUB'B=B'F=2,ZB,BF=15°,oB»BH±BF,4—BHV6+V2V6+V2ᙠRtABBzHfcosl5°=——ᓽBH=2X-----------=-----------,BB42ÅUBF=2BH=V6+V2.ூD௃Æ⚪ὃḄឋ®Ḅឋ®┦±²±;ᦪ½¾j¸²±ஹ°±²±Ḅឋ®ÇÈÉÊḄឋ®x&⚪ḄᐵË.25.10.00ᑖ982018ᓭᐙ9᝞ÌᱥÎ⚔DP1,4
,:yЦDC0,3
,:xЦDA,B.819ÌᱥÎḄx᪆>.82
QÌᱥΤ◀DP᜜PDÓBCQ:4BCPḄ☢ÕjDQḄᙶ᪗.3
ØM,N'ÌᱥΤÙÚÛDᑖoDM,N»°ÎBCḄᚖÎÝᚖÞᑖ'D,E.ᔲàᙠDM,N¡á¸MNED'âIã᝞,àᙠâIMNEDḄ¸«M᝞,àᙠäå¿ᳮᵫ.ூὃD௃HFGçQ;ᦪᔠ⚪.ூR⚪௃15Gᔠ⚪M535GçQ;ᦪè[ᐸឋ®.

28ூᑖ᪆௃(1)iÌᱥÎ⚔Dᙶ᪗éCᙶ᪗êᐭiᓽdM(2)ᵫÓBCQ:aBCPḄ☢ÕjvÄIPQ:BCìíজoP»PQ஻BC,¦ÌᱥÎDQ,᝞1ᡠïMঝG(1,2),dvPG=GH=2,oH»°Î0cb2//BC,¦xÐDH,ᑖiQḄᙶ᪗ᓽdM(3)àᙠDM,N¡á¸MNED'âI᝞2ᡠïoM»MF஻yÐoN»NF஻xÐoN»NH஻yÐᑣᨵaiVINF:aNEHð'jῪ°±²±M(xiyi),N(X2ò2)°ÎMNx᪆>'y=-x+b,:çQ;ᦪx᪆>ὶôõöyvᑮᐵxḄPᐗçQIJᑭᵨ᪷:=ᦪᐵ=⊤ïiNF?,ᵫ4MNF'jῪ°±²±vᑮMN2=2NF2,Øá¸MNED'âIvᑮNE2=MN2,ibḄøù½iMNḄ«ᓽ'âI¸«.ூxy௃xG(1)y=a(x-1)2+4(aWO),éC(0,3)êᐭÌᱥÎx᪆>vGa+4=3,ᓽa=-l,ᑣÌᱥÎx᪆>'y=-(x-1)2+4=-X2+2X+3M(2)ᵫB(3,0),C(0,3),vᑮ°ÎBCx᪆>'y=-x+3,■:SAPBC=SAQBC>PQ஻BC,জoP»PQ஻BC,¦ÌᱥÎDQ,᝞1ᡠï,VP(1,4),ç°ÎPQx᪆>'y=-x+5,ὶôvGúçGPxv:üGᡈüþᓽQ(2,3)MঝG(1,2),PG=GH=2,oH»°ÎQ2Q3஻BC,¦xÐDH,ᑣ°ÎQQx᪆>'y=-x+1,ὶôvGᱏ
1…R(y=—xL+2%+3

29_3+E3-717Xr--2-ᡈ%-2-:-1-717-1+/I7,y=XT-3-V17-1+V173+V17-1-V17ACb(),Cb(;22223
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,N+X22*',MN᪆.y=-x+b,y=—x+bὶ0:y=—x2+2%+3'12y:x2-3x+b-3=0,/.NF2=|XI-X22=(X1+X2)2-4XIX2=21-4b,•••"MNF%Ὺ'()(,.\MN2=2NF2=42-8b,1VNH2=(b-3)2,.\NF2=-(b-3)2,23MNEDᑣᨵNE2=MW,142-8b=-(b2-6b+9),2᦮ᳮ6b2+10b-75=0,6b=-15ᡈb=5,,7MN=V42-8b,.,.MN=9V2n£V2.ூ9௃;⚪=>?@AᦪCᔠ⚪EFḄHIᨵ:JKLᦪMNKAᦪ᪆.᪷#LᦪḄᐵL%Ὺ'()(ḄឋRḄឋRSTKᳮUF@Aᦪ#?@AᦪḄឋRVWXYJKLᦪMZ[⚪Ḅᐵ\.

30

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+2
Mᢣj6জᙠlmaMnop✌ᐜstaᦪḄuvwঝyᨵᳮᦪzᓄcMp⌕}pᦋbuv6Znouv+avcvw?ZaᦪḄឋRuv+aᦪfgᦪwூᙠᨵᳮᦪaMnopaᦪ#aᦪḄᣚwaMᨵᣚ.aMMᑣ#cMMᑣ0cᦪ$0aᦪMᑣlmo.2.ᦪᜧᦪᜧ1bᦪ$Uᜧ.ᦪ$ᜧ>0,ᦪ$>0,ᦪᜧ>ᑗᦪbᦪᜧḄg.+2
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