2021-2022学年江苏沭阳中考一模数学试题含解析及点睛

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᪆௃(1)ᐜ᪷`B4abᦪ'ᐸdᑖef2gbᦪgbᦪhiᐸj4abᦪf2C4abᦪkᵨ360஺l&C4abᦪᡠᓰeoᓽ2^(2)᪷`&pᡠfEqᓽ⊡ᐰ]9^(3)᪷`%sᦪḄtuf2^(4)gbᦪl&᪵C%A4abᦪᡠᓰeo2.ூ
௃(1),gbᦪ?1ᦪ?x=40b,...C4abᦪ?40-(4+18+5)=13bᑣCyḄᡧ9Ḅᙊ|7360°x^=117°,ᦑ=ᫀ?117(2)⊡ᐰᩩ9]᝞:ᡧ9](3)?ᐳᨵ40Oᦪ`ᐸ%sᦪ20ஹ21Oᦪ`Ḅ
ᙳᦪk20ஹ21Oᦪ`ᙳᙠB4a,ᡠ&ᡠḄᳫᳫᡂḄ%sᦪᙠB4a,ᦑ=ᫀ?B.(4)ᳫᳫᡂᑮAaḄᨵ300x^=30b.ூA௃C⚪ὃGHᩩ9]ᡧ9]Ḅᔠᵨ]Ḅ]%2ᑮ⌕Ḅ⚪Ḅᐵ¢.20ஹ(1)ᵬ¤᪛¦§¨Ḅ©ª30ᐗ¬¤᪛¦§¨Ḅ©ª40ᐗ^(2)jᨬ¯°±11¨¬¤᪛¦.

16ூ
᪆௃(1)²ᵬ¤᪛¦§¨Ḅ©ªXᐗᑣ¬¤᪛¦§¨Ḅ©ª(x+10)ᐗ᪷`4³ᐵ´ᵨ480ᐗ°±¬¤᪛¦Ḅ¨ᦪា¶·ᵨ360ᐗ°±ᵬ¤᪛¦Ḅ¨ᦪ¸ᑡRXfᓽ^(2)²j°±y¨¬¤᪛¦᪷`4ᐵ´º»°±¼¤᪛¦Ḅg½ᵨ¾W1500ᐗᑡR4fᓽ.ூ
௃(1)²ᵬ¤᪛¦§¨Ḅ©ªxᐗᑣ¬¤᪛¦§¨Ḅ©ª(x+10)ᐗ¿⚪Àᨵ.᝞,2x=30,ÁÂÃx=30ÄXḄx+10=30+10=40,=ᵬ¤᪛¦§¨Ḅ©ª30ᐗ¬¤᪛¦§¨Ḅ©ª40ᐗ^(2)²j°±y¨¬¤᪛¦¿⚪Àᨵ30x(1-10%)(50-y)+40y<1500,2y

17²ᑖᔠCErPE[g:³ᙠµᔠ⚪RḄCM(1)জ·CP¸PF஻y¹ºBCCF,ᵫCBஹCḄᙶ᪗ᑭᵨ¿Jᦪ[@BCḄ᪆᪷CPḄᙶ᪗[CFḄᙶ᪗ÀÁ[PFḄÂᵫ34Ḅ☢¦ᓽ[SᐵtḄÃᦪ⊤Å5ঝᑭᵨÃᦪḄឋzÇSḄᨬᜧÈᑭᵨÉÊᳮ[BCḄᑭᵨ☢[PCᑮ@BCḄḄᨬᜧÈÂÇgCPḄᙶ᪗ᓽ[Ë.ூi௃(1)ÌA(-1,0)ஹB(1,0)ᐭy=-x2+bx+c,—l+Z?+c=0b-2/Úc1[-9+3Hc=0c-3ÛᱥḄ⊤Åey=-x2+2x+l;(2)ᙠ1$ÝPC,ºÛᱥ'Þ¹1CE,■Ûᱥy=-x?+bx+cx¹ºA(-1,0),B(1,0)0C..ÛᱥḄ'Þ¹e@x=l,àt=2CCஹPᐵ@1'Þg³ᙠCM,á<CDPM²âá<,ÛᱥḄ⊤Åey=-X2+2X+1,CCḄᙶ᪗e(0,1),CPḄᙶ᪗e(2,1),.,.CMḄᙶ᪗e(1,6)à#2:³ᙠᳮᵫ᝞å/æá<CDPM²âá<ᑣCE=PE,VCCḄèᙶ᪗e0,CEḄèᙶ᪗e0,.CPḄèᙶ᪗t=lx2-0=2,éᚄ2,.,.:³ᙠ5(1)জᙠ2$·CP¸PF஻y¹ºBCCF.ë@BCḄ᪆ey=mx+n(m#)),ÌB(1,0)ஹC(0,1)ᐭy=mx+n,3m+n=0m=-\:n=3஻=3@BCḄ᪆ey=-x+1,,CPḄᙶ᪗e(t,-t2+2t+l),CFḄᙶ᪗e(t,-t+1),

18APF=-t2+2t+l-(-t+1)=-t2+lt,S=—1PF*OB=---3--12+9—1=----3-32+î2222283ঝT--<0,2327...àt=SïᨬᜧÈᨬᜧÈe(.28CBḄᙶ᪗e(1,0),CCḄᙶ᪗e(0,1),BC=y]0B2+0C2=37227PCᑮ@BCḄḄᨬᜧÈe8*=92/2,3ð(8ூCD௃F⚪ὃHu¿Jᦪ(()Ãᦪ᪆ஹ²âá<Ḅᑨឋzஹ34Ḅ☢ஹ(()ÃᦪóôCḄᙶ᪗ᱯõ
ÃᦪḄឋz⚪Ḅᐵ/(1)ᵫCḄᙶ᪗ᑭᵨ¿JᦪÛᱥ⊤Å;(2)ᑖt=2x÷20øopὃ⇋5(1)জᑭᵨ34Ḅ☢¦ÇSᐵtḄÃᦪ⊤Å5ঝᑭᵨÃᦪḄឋzᔠ☢PCᑮ@BCḄḄᨬᜧÈ.22ஹ(1)y=-x2+4(2)জE(5,9)ঝ1.ூ᪆௃(1)¿Jᦪᓽ[⚪(2)জ@DAḄ᪆᪷⚔CEᙠ@DAôëEḄᙶ᪗ûᐭᓽ[5ঝABü·Ḅ☢²âá<ABGE,᪷Sá<ýABGK=SýIOKH-SAAOB-SAAKI-SAEHG-SAGBK,CB(2,0),G(7,5),A(0,4),E(5,9),᪷ᙶ᪗rsvᓽ[⚪.ூi௃/(1)VA(0,4),B(2,0),C(-2,0)ÃᦪḄóḄ⚔CeA(0,4),

19...ëÃᦪ⊤Åey=ax2+4,ÌB(2,0)ᐭ4a+4=0,a=-1,Ãᦪ⊤Åy=-X2+4(2)জë@DAy=kx+b(1#0),b=4ÌA(0,4),D(-4,0)ᐭீÿ-4k+b=Qk=l
,'b=4DAy=x+4,ᵫ⚪ḄᱥḄ⚔EᙠDA⚔E(m,m+4),.,•Ḅᱥ⊤y=-(x-m)2+m+4,•••ḄᱥB(2,0),ᐸ"ᐭ
-(2-m)2+m+4=0,
mi=5,m2=0(&ᔠ⚪())⚔E(5,9),ঝ᝞-./AB,B0BL஻AD1Ḅᱥ2G,.3EG,:.567ABGEḄ☢9:;-Ḅ?ᑖAḄ☢9G0GKJ_xB2K,E0EI_LyB2LELGK12H.ᵫA(0,4)CE(5,9),BᐜᔣF5GᓫIJᔣ5GᓫICG.VB(2,0),...G(7,5),.♦.GK=5,OB=2,OK=7,.*.BK=OK-OB=7-2=5,VA(0,4),E(5,9),

20AAI=9-4=5,EI=5,.*.EH=7-5=2,HG=9-5=4,:.Såæ9ABGE=Sê91OKH-SAAOB-SAAEI-SAEHG-SAGBK1111=7x9-----x2x4x5x5x2x4-----x5x52222=63-8-25=1KL-Ḅ?ᑖAḄ☢91.ூN௃P⚪ὃRSTUᦪ᪆ḄXYTUᦪḄ-7Zឋ\,TUᦪḄ]▭_ᵨabcᜧ,ef☢9g>Ḅhiᐵk;⚪ᐵl.23ஹn&hoḄp-qḄᡠᨵ᦮ᦪ0,1.2ூ᪆௃ᐜXu&hovwxG&hḄpJXuqyḄzᐳ?ᑖᯠᑏuqḄᡠᨵ᦮ᦪᓽ.ூ௃2x+3
«4x+7জ&hজ
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xV2,•••n&hoḄpᜧᜧ&ᑮ.24ஹL1CD0Oᑗ.ᳮᵫ᝞L

21DE.VAC?NDABḄ
ᑖÑ/.ZDAC=ZBAC.VOA=OC,.,.ZOAC=ZOCA.,AZDAC=ZOCA./.OC/7AD.VAD±CD,AOCXCD.OC஺OḄëì.\CD·஺O¸ᑗ.(2)᝞]!"EB,ᵫAB?6ì2ᑮNAEB=90஺EB஻CD,F?EBḄ%..;OF?AABEḄ%sÑ.111nn:.OF=-AE=-,ᓽCF=DE=-.222nᙠRtZkOBF%᪷`îïtᳮ2EF=FB=DC=—.2ACḄ%•,•AE=ECAE=EC.ðñAE=SðñEC-ò1ᨴ_d♦•3▢÷0DEC——XøX--------.2228ூ
᪆௃(1)CD·ᙊO¸ᑗᳮᵫ?ᵫAC?7
ᑖÑ2ᑮ0y7¸4ºᵫOA=OC,ᑭᵨ4æy472ᑮ0y7¸4,4³ùᣚ2ᑮ0yᑁ┯7¸4ᑭᵨᑁ┯7¸4¼6Ñ
ç2ᑮOC·AD
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᪆௃(1)ᵫ⚪<=ᵬ?Ḅy@xḄABCDᦪ.Fᵬ?GHḄIJᦪKyLMxḄDᦪᐵOPy=kx.

22᪷R⚪S6k=360,Tk=60.ᡠVᵬ?GHḄIJᦪKyLMxWMḄᐵOPy=60x.
2Xx=2Ly=l
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1⊡ᐰh0⊤jT᪆l2mn2018opq#Krᩩh0

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uAE=BE=DE,J¦§g>ḄᐵkXuN2+N3=90ᖗNADB=90஺ᡠªᑨ¬567AGBD;7.ூ௃L(1)L567ABCD;®567/.Z4=ZC,AD=CB,AB=CD.,•,Eஹ¯ᑖ°;ABஹ8ḄvAE=—AB,CF=—CD.22:.AE=CF.ᙠAEDZVCBEvAD=CB

242N2+2/3=180°.N2+N3=90.ᓽZADB=90°.¨©AGBO@«.ூ௃x⚪¬⌕ὃ$¨©Ḅxឋ#&«Ḅᑨ®ᐰḄᑨ.$¨©xឋ#জ$¨©°?±©ᑖ²$lঝ$¨©Ḅ°?±©ᑖ²lঞ$¨©Ḅ°?±ᑖ²lট$¨©Ḅ±¶ᑖ.ᐰḄᑨᩩJSSS,SAS,AAS,ASA.