2021-2022学年江苏省宜兴市官林学区中考数学押题卷含解析及点睛

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2021-2022ὃᦪᔁὃ
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5:.BC=4,.AB=2y/3.AAD=AB'AC2^x2=,.BD=^-=2^-=l.•UBᙶ᪗V1,0,...AU=BC4BC4Ḅᙶ᪗V4,6..•.BU=L.••Aᙶ᪗V-2,0,ᙶ᪗V-2,-jH.4•`ᔣbKc2dᓫ•••1Ḅᙶ᪗VF-2,-j-2.ᦑ⌱D.U¿A⚪À⌕ὃÂÃMNpNÄḄឋÆÇÈ1ᳮ]^ḄឋÆBKcḄឋÆ,JÄᑭᵨ]^ḄឋÆBKcḄឋÆlÌÍ⚪ḄᐵÎ.2ஹAூ᪆௃⚪Ì᪆᪷ÐÀqJBÑqJVÒÄlxo᪷ÐÓqJlᙊÔᑨt,ÕdnohÖlᙊx`᪷ÐÑqJḄy×,ᙊxoḄyV2ᦑ⌱A.ὃUᵫpqJᑨtno.3ஹAூ᪆௃ᑖ᪆Aஹ᪷ÐḄPᦪ?ᔠ᪷ḄᑨÚÛÔ,Ü>(),ᵫÍᓽÔ,᝞V+?AuvßBஹ᪷Ð᪷àPᦪḄᐵPÔ,X1+X2=a,?ᔠaḄáv1Ô,B?%1uvßCஹ᪷Ð᪷àPᦪḄᐵPÔ,x/X2=-2,?C┯ãßDஹᵫX1X2=-2,Ô,X1V0,X2>0,?D┯ã.äᓽÔ,?.åÌAVA=(-a)2-4xlx(-2)=a2+8>0,:.X/X2,?AuvßB>\*X1>X2lᐵxḄx?-ax-2=0Ḅ᪷•\xi+x2=a,TaḄáv1B?%1uv;

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8ᑭᵨᐗজx5+ঝx3yᓽC.ூ
௃4x+3y=7জᵨ⌕Ay,ᑣUজx5+ঝx3,=-1ঝᦑ⌱CூKL௃⚪ὃOHᐗEFᑭᵨᐗḄ¡ᐗḄᨵ(?ᐭᐗTᐗ.9ஹDூ᪆௃᪷`¢fḄឋkCYAB=BC=AD,NABC=NBAD=90஺,l᪷`¤KvbAAE=BF,ᯠ.ᑭᵨ“~”¥¦ABF§ADAEᐰ᪷`ᐰ~f©U~CYNBAF=NADE,ᯠ.ANADE+NDAF=NBAD=90஺ªAZAMD=90°,l᪷`«⊡~ḄvbCYNAME=90஺ªᑨtজ¢u᪷`¤®ḄvbᑨtNADERNEDB,ᯠ.ANBAFRNEDB,ᑨtঝ┯±᪷`~~fḄឋkᑨtAEDஹMAD,MEA~f²ᑭᵨ²~f©Uᡂ9´CY&■=·=22=2,ᯠ.AMD=2AM=4EM,ᑨtট¢u¢fABCDEMAMAEḄ<%2a,ᑭᵨvᳮᑡXAAF,l᪷`²~f©Uᡂ9´AAM,ᯠ.AMF,ᣵaᓽCYᑮ2AM=yMF,ᑨtঠ¢u»KM¼MN_LAB½N,AMNஹNB,ᯠ.ᑭᵨvᳮᑡXABM,»KM¼GH஻AB,»KO¼OKLGH½K,ᯠ.AOKஹMK,lᑭᵨvᳮᑡXAMO,᪷`¢fḄឋkABO,ᯠ.ᑭᵨvᳮ⌮vᳮᑨtNBMO=90஺ªᑨtঞ¢u.ூ
௃ᙠ¢fABCD¤AB=BC=AD,ZABC=ZBAD=90°,TEஹFᑖÁ%AB,BCḄ¤K.,.AE=BF=-BC,2ᙠAABF§4DAE¤,AE=BF

9/.ZAMD=180°-(ZADE+ZDAF)=180°-90°=90°,
ZAME=180o-ZAMD=1800-90o=90°,ᦑজuvßVDEMAABDḄQ.♦.NADEWNEDB,NBAFrNEDB,ᦑঝ┯ãßVZBAD=90°,AM±DE,:.AAED^AMAD^AMEA,AMMDAD"EMAMAE.♦.AM=2EM,MD=2AM,/.MD=2AM=4EM,ᦑটuvßêuÄABCDḄSëV2a,ᑣBF=a,ᙠRSABFQAF=dAB+8ì=+/VZBAF=ZMAE,NABC=NAME=90°,.♦.AMEsaABF,.AMAE••—■,ABAFAMaᓽí4î'ÌAM=3ð5AMF=AF-AM=a-,552/.AM=-MF,ᦑঠuvß3᝞JòUMMN_LABN,ᑣ

10MNANAMBFABAF2ᓽMN_AN_4"a2aa24YMN=yQ,\N=—a9.46:.NB=AB-AN=2a--a=-a955᪷`vᳮBM=1NB?+MN?=J1,1+I஺)=2»KM¼GH஻AB,»KO¼OKJLGH½K,ô!JOK=a--a=—a,MK=-a-a=-a,5555ᙠRSMKO¤MO=’"Å+0K2=+(l")=Ç°᪷`¢fḄឋkBO=2axXZ=É2BO?=2//.BM2+MO2=BO2,.♦.BMO~~fZBMO=90°,ᦑঞ¢uÊËᡠÌ¢uḄÍÎᨵজঞটঠᐳ4.ᦑ⌱(DூKL௃M⚪ὃO¢fḄឋkᐰ~fḄᑨvTឋk²~fḄᑨvTឋkvᳮḄUᵨvᳮ⌮vᳮḄUᵨÊᔠឋÑÒÓÔÑᜧÖ×ᑖ᪆fؼÙÚ®᪀⌼~~fT²~f⚪Ḅᐵ.10ஹCூ᪆௃ÝÞßfḄ᜜~§360஺ᵨ360஺◀E᜜~ÔᦪᓽCAYßfḄᦪ.ூ
௃360஺+72஺=1,ᑣßfḄᦪ1.ᦑ⌱C.

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12=1(x-ly)ᦑEᫀt?1(x-ly)i.ὃI?S-SḄᔠᵨ14ஹ1ூ᪆௃᪷'ᦪḄᭆ4ᓽ8.ூ௃ᦪ'ᢥ᯿ᑮᜧḄ᣸ᑡt?60,60,70,80,80,90,90,90,90,100,,,,,„90+80ᑣᦪt?---=1.2ᦑEᫀt?LூIJ௃⚪ὃLMᦪḄᭆ?jᦪ'ᢥ᯿ᑮᜧ(ᡈᜧᑮ)Ḅ᣸ᑡ᝞£ᦪ'ḄᦪG᜻ᦪᑣᜐi,¦Ḅᦪ7Gᦪ'Ḅᦪ᝞£ᦪ'ḄᦪGᏔᦪᑣ,oᦪ'Ḅ¨ᙳᦪ7Gᦪ'Ḅᦪ.215ஹ-.•.f/SoÊ·Ë9-2:?(-2)x(-2)>-2xy2]x(—2),ᓽ—§4-2xy<4,42oÊ·rÎ2:?j5+242-2ᑮ44+2,ᓽ§42-2f46,Vx2+xy+y2-2=0,

13:.x2+y2=2-xy,M=-xy+y2=2-2xy,_2ᑣMḄÐѵGjSMW6.32ᦑEᫀt?—?ᵫ⚪B“ø᪷23''/+(ÿ-2)x-2஻?=0Ḅ᪷a,᪷2a,ᑣᵫᐗ᪷ᦪḄᐵa+2a=-(w-2),2a-a=-2m,.m-22..a=-------,a=-m,3ᓄ$᦮ᳮrrr+5w+4=0>*+=-4,-1.ᦑ0ᫀ-1ᡈ-4.345⚪*⚪Ḅᐵ789៉ᐗ᪷ᦪḄᐵ;ᐗ<2+=+஺=0(஺?0)Ḅ@᪷ᑖBhCaஹp,ᑣa+/?=——,ap=—.aaEஹ*0⚪(ᐳ8⚪,ᐳ72ᑖ)17ஹ(1)J*᪆(2)A-MNOP(3)360Rூ᪆௃(1)᪷STUVWCḄRᦪYᡠᓰ\ᑖ]^_`abḄcRᦪ,de^_fgBYDRᦪ,ᦑ⊡ᐰᩩmTUV;

14(2)ᵫᩩfâãäåᦪ%“A-æçèé”(3)ᐜAëìíAḄᓰ9lᐰ᪥ðᦪᓽC.ூ
௃(1)ᵫ⚪aCYñòOḄóðᦪ%12+20%=60,ôõëìíBḄðᦪ%60x15%=%ôõëìíDḄðᦪ%60-27-9-12=12,ᦑ⊡ᐰᩩfâã᝞ö((2)ᵫᩩfâãäåᦪ%“A-æçèé”(3)ᵫ⚪aYᐰ᪥ç÷ôõëìíAḄðᦪ%800x2^7=360(ð)60ூKL௃⚪q⌕ὃOâãḄUᵨ⚪Ḅᐵ᪷`⚪aAòOḄóðᦪlyzA.18ஹDEFø14ᓟú✏ⅥDHFø36ᓟú✏Ⅵூ᪆௃M⚪^ᐵ_%(DEFøḄᓟúᦪ+DHFøḄᓟúᦪ=50DEFḄýᦪ+DHFḄýᦪ=1.©þÒøḄ✏ⅥḄᓟúᦪUᑖÿ
জOVxMO,y<40ঝ0-0,y>40@20VxV3ᑣ3VyV2.ூ
௃✏Ⅵxkg,✏Ⅵykg,ᵫ⚪0VxV3.ᑣজOVxMO,y<40,ᑣ⚪x+y—50<.6x+5y=264'x=14y=36ঝ0VxW20,y>40ᵫ⚪-x+y=506x+4y=264'x=328.(ᔠ⚪‘#$)ঞ20VxV3ᑣ3VyV2,'ᵨ$Ḅ*⚗,5x+5y=5(x+y)=5x50=30

15টp20Vx*0y>40q,crstᜧv60kg,wxᔠ⚪z,0{|}~✏Ⅵ14kg,}~✏Ⅵ36kg.ூ34௃5⚪⌕ὃbNᑖḄ.ᑮ@5Ḅsᐵ,᪷SḄᓟᦪᑮḄd0.19ஹ(1)-(2)-(3)x=l.42ூ᪆௃(1)ᵨwᔠḄᦪs◀csᓽ^ᑮwᔠḄᭆ᳛(2)ᑭᵨ¤¥¦§¨q©Ḅᭆ᳛v@¤¥¦§ᓫ¤©Ḅᭆ᳛Ḅ«ᓽU¬(3)᪷S⚣᳛®U_ᭆ᳛,ᑭᵨᭆ᳛¯°ᑡ°U¬ᓽ^xḄ².ூ௃*(1)..?§¨³´ḄµW,ᨵ1§wᔠ,.•.P(wᔠ)=ᔠᔠᔠᔠ//ᔠ/ᔠ/0/ᔠ/ᔠ/ᔠ/ᔠ/ᔠ/ᔠ/ᔠ/ᔠ/1/ᐳᨵ12·¸¹,ᑮḄº8ᔠḄ¸¹ᨵ6·,p(ᑮḄº8ᔠ)=9=1122(3)\•ᜧs½¾¿À©Á,ᑮᔠḄ⚣᳛ÂÃᙠ0.95,.••ᑮᔠḄᭆ᳛v0.95,.x+3.------=0.95,x+4*x=l.ூ34௃5⚪ὃbᑭᵨ⚣᳛®Uᭆ᳛ᭆ᳛¯°ᑡ⊤=᪛ÇV=.20ஹ(1)150,(2)36°,(3)1.ூ*᪆௃(1)᪷SVWÈÉᑡ°U¬ᓽ(2)^“Ëᳫ”ḄRᦪ=150x20%=30R,⊡ᐰÎ☢ḄᩩmTUVᓽ;(3)360,ÐÑᳫ”ᡠᓰḄ\ᑖ]ᓽᑮÒ(4)᪷S⚪zU¬ᓽ.

16ூ
௃(1)m=21+14%=150,(2)“3ᳫ"Ḅ6ᦪ=150x20%=306⊡ᐰ:☢Ḅᩩ=>?@᝞@ᡠC-(3)ᙠ@2E“FGᳫ”ᡠIJᡧ=ḄᙊMNḄOᦪ,360஺ஹR=36஺(4)1200x20%=l6ST?U᪥Wᨵ1YZ[ᨬ]᰿3ᳫ_`.@1abூde௃g⚪ὃijᩩ=>?@klᩩ=>?@ஹᡧ=>?@mᨵᦔopq⚪ᐵs.21ஹ173-4ூ᪆௃tuᑭᵨᱯxNḄyNzᦪ{|}ᢣᦪḄឋஹᢣᦪḄឋஹ᪷ḄឋᑖᓄSᫀ.ூ௃=lxᓩ+2«-3-2+1=2/+2«-1=173-1-ூde௃'⚪⌕ὃijᦪᓄᔜᦪq⚪ᐵs.1,3ফiবÖ22ஹ(1)——x+222ூ᪆௃(1)g⚪◤ᐜ᪷@Adᐭᓽ᪆-(2)ᵫAOABs/\PANᵨm⊤CPN,¡⊤CPM,

170஺3ᵫᩩ§ᑮᐵvmḄ,ᑣ^mḄ²×3ᙠyØÎÙ3Q,Ú;=w,ÛḄAPZOBS/IQOP?,3ᑣ^Q3ᙶ᪗,ᑣÞAP2+—BP2ßᣚAP2+QP2,ᑭᵨEámEâᐵãpAஹP2ஹQE3ᙠᩩäÎq,2ᨵᨬæ²,ᑣ^_0ᫀ.ூç*௃*×1VA
4,0ᙠèᱥäÎ,**•0=16a+4(a+2)+2,*a=—-,213•èᱥäḄ*᪆°y=--X29+-X+22213-(2)y=—x~9H—x+222•êx=0y=2,AOB=2,VOP=m,AAP=4-m,•PMJ_xØ,AAOAB^APAN,.OB_PN••=9OAPA.2PN••=-----944-mPN=1(4-m),•MᙠèᱥäÎ,.123PM=——m~+—m+2,22VPNMN=13,APNPM=14,123c/1ஹ..+—m+2=4x—x(4-m),*m=3ᡈm=4(ëì)OQ3(3)ᙠyØÎÙ3Q,Úí=/,᝞V,

18OQOK3•••=”^=7,ðNP2°B=NQ°P2,CzrsUDZ.,.POB^AQOP2,2ᔖ"BP?2'93...pQ(0,-)q,Q——BP,,223/.AP+-BP=AP+QP2>AQ,2222...pAஹP2ஹQE3ᙠᩩäÎq,AP2+QP2ᨵᨬæ²,•AQ…óᓽAP+-BPḄᨬæ²ô52222ூ34௃5⚪ὃbõèᱥä*᪆°Ḅ^=,èᱥäöEámḄ÷⚪,ᙶ᪗ø⊤ùEámḄ☢«úäûYᨬæ²÷⚪,⌕^üᵨýþÿ
ᙶ᪗ᦪᔠᳮᜧ.571123ஹ(1)4(2)জ3.(1,0),(2,0),(3,0).ঝ0)Ḅ"#$ᓽ&'(AḄ)*

19
2জ8=-1᪷᦮dḄᭆ¤tuᑏ¦§WᑁḄ᦮d©ᦪᓽ.ঝᑖ4.tª4,0b.tª5,0c.tª1,2d.tª1,3«¬®¯
ᓽ.k(1)•.•dA(4,1)ᙠ>=(x>0)Ḅ@:.x.41,4k—4.(2)জ3©.(1,0),(2,0),(3,0).ঝtª(4,0)-x4+b=0,ᓃ=14b.tª(5,0)-x5+b=0,6=4417c.tª(1,2)—xl+"=2,b=—44de³´µ¶·zᦪ|zᦪḄ¸ᔠ⚪ὃi¹º»ᦪ¼µ¶·zᦪ᪆zᦪḄ@½ឋ¾¿᦮dḄᭆ¤q⚪ḄᐵsÀᑖÁ
ÂÃᙠ⚪EḄJᵨ.24ஹ
1জ2,0,
1,-1,;ঝy=0xঞy=J^x,y=-—x+^
2জÄÅ,4,MÆτ,23

20—);ঝÊ"l

21•'•y=V2x*ঞ᝞@2-3EËQM஻OAÌOD´M,x_y/2-y2~V2V2r—y=--x+V2
2ᦑSᫀ,y=0x,y=-Úx+Õ-2(2)জ᝞@3EËMF_LOA´F,ËMN஻yÍÌOA´N,,.,<0=120°,OM_LyÍ.*.ZMOA=30o,VMF±OA,OA=4ÛÜ.•.OF=FA=26.♦.FM=2,OM=2FM=4,,.,MN஻yÍ.•.MNJLOM,.•.MN=^I,ON=2MN=^^,33

22ঝ᝞@4EÔuOM,ËMK஻xÍÌyÍ´K,ËMNJ_OK´NÌ஺M´EஹF.:.ZMKO=60°,VMK=OK=2,/.MKOqÝÞyN=/.MN=V3»FN=1MF=V3-1,EN=1ME=V3+1,kl@ß஺MḄÄÅrḄà{â,G-l