2021年海南省海口市中考数学模拟试卷(附答案详解)

2021年海南省海口市中考数学模拟试卷(附答案详解)

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17MNABCḄ$%MN//AB,KMN=^AB,•••3CMNfCAB,.Sac/.y_A/AT21S^CABAB“.S”0=1sᩝ3'S%&'ABNM=3s&CMN=3X1=3.ᦑᫀ93.15.ூᫀ௃7ூ᪆௃᪷>⚪@/+%2=1X1X2—C6ᡠFG1+HCX1X2=(%1+X2)-X1X2=1+6=7.ᦑᫀ97.᪷>᪷JᦪḄᐵJᑮᓃ+%2=1G1%2=-6,ᑭᵨ᦮TUᐭḄWXYZ.[⚪ὃ]^᪷JᦪḄᐵJ_`CᐗbcWd+e+஺=0(@i0)Ḅk᪷,bclXi+X=--X1X2=C.2aQ16.ூᫀ௃oூ᪆௃pqrst0uvrḄᨵxyஹ{ஹ|}%,~Ὺஹxyஹ{ஹ|}%ஹᱥ%ᑖ4B,C,D,E,ᑡ⊤:ABCDEA\BACADAEABAB\CBDBEBCACBCஹDCECDADBDCDEDEAEBECEDEᐳᨵ20qḄᐸḄk0uvrḄᨵ6q,ᑮḄkr0uvrḄᭆ᳛ᔁ=ᦑᫀ9ᔁ.~Ὺஹxyஹ{ஹ|}%ஹᱥ%ᑖ4B,C,D,E,ᑡ18⚓ᐳ41⚓

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21■1•OF=(3+x)■—>V3x=?(3+x)•*,x—1.5,OF=1.5xV3«2.60(²)OEQ2.60+1.5«4.1(²)9?³⚔µ஺ᑮᙢ☢Ḅ¸¹K4.1².ூ᪆௃¨©஺ªOELAC«©F,¬BD®OE«©º¯DF=x,᪷+┦a¼a½ᦪḄ¾&⊤஺FḄtᯠᑡ¿sxḄᓽ59ᫀ.⚪ὃÀa¼aY⚪ḄᐵÁÂᵨ┦a¼a½ᦪḄ¾&⚪ë\ὃÄὃ⚪Å.22.ூ9ᫀ௃Æ1ÇÈ?ÉBOB,OA=OB,■■Z.OAB=Z.OBA,■■CP=CB,•••;CPB=;CBP,•••/.CPB=Z.APO,;CBP=Z.APO,^.Rt^AOP^,•••Z.A+Z.APO=90°,/.OBA+;CBP=90°,ᓽ?;OBC=9஺஺,•••OBLCB,Ê?0BËÌ•••CB஺0ÍᑗP(2)?P/-A=22.5°,/.AOP=90°,•••AAPO=67.5°,d22⚓ᐳ41⚓

22♦;BPC=Z-APO=67.5°,vPC=CB,:.;CBP=67.5°,♦LPCB=180°-2CBP=45°,•Z,OCB=;POB=45°,•OB=BC=2,••[\▢ÑTᑖḄ☢Ò=SAOBC-sÓᾯBQ=2x2x2—Öᓲ=24.ூ᪆௃প᪷+zÙ]za6NCPB=4CBP,᪷+ᚖÀḄ¾&6NOBC=90°,ᓽOB1CB,ᑣCB஺஺ÍᑗP2᪷+¼aYḄᑁa¾ᳮ6ᑮNAP஺=67.5°,6ÝU/OCB=;COB=45஺60B=2,᪷+¼aYᡧYḄ☢Òᓽ56ᑮ|Þ.⚪ὃRÀßᙊḄàáᐵâᑗßḄᑨ¾zῪ¼aYḄᑨ¾ឋæᡧY☢ÒḄ4çèḄªéêß⚪Ḅᐵ.23.ூ9ᫀ௃?Æ1ëᜩHíîïyÆðñHíòóôÆᜩñõóḄ½ᦪ⊤pK?y=1600/ஹ—X>4P2ᵫ⚪%56?÷+20=ø6?%1-20,x——16,2ùúû%!=20,%=-16,ᑖ¿sḄ2ýx=-16þᔠ⚪%ÿ.•20—4=16ᜩ▭16ᜩ.ூ᪆௃1ᵫ=ᜩyxᜩᓽ!"2ᵫ⚪$ᑡ&'(ᓽ!.)⚪ὃ+,-./ᦪḄ2ᵨᑖ5'(Ḅ2ᵨ6ᑮ89Ḅ:ᐵ<=)⚪Ḅᐵ>.24.ூᫀ௃==4ᡈ2Aᡈ4B

23ூ᪆௃(1)••D2BC=:ῪFGHGIJKFGLM:ᓽNO-ᩩFGLḄQ:RFGL,J:ῪRt/ABC=“UHGI”ᦑᫀ="(2)জ᝞Z1,[\P]PN1ABN,^LI4BCD=8'IAB=BC=CD^=AD,AB//CD,■■PNLAB,BCLAB,PN=BC,>•PN=AB,••DABP=“UHGI”,_4P=BA=4ᑣ\Pa\஺cᔠeD4PB=:ῪHGI_AP=PB\PᙠghC஺iXvAD=BC,.Rt4ADPRtABCP(HL),:.DP=CP=2,AP=>JAD2+DP2=V4+16=2V5_AB=PB=4\Pa\Ccᔠ•••AP=V2BA=4V2.jiᡠlAP=4ᡈ2mᡈ4&,ᦑᫀ=4P=4ᡈ2Aᡈ4n"ঝ᝞Z2,•.tanNBPC=g=|^,•••CP=3,•••DP=7,•••AP=y/AD24-DP2="6+49=V65.(1)ᵫ“UHGI”ᑨq"(2)জ[\P]PN148RN,ᵫrsgḄtuM:vPN=BC=AB,vD4BP=w24⚓ᐳ41⚓

24“UHGI”ᵫ:ῪHGIḄឋ{!"ঝᵫ┦GHG/ᦪ!CP=3,ᵫ}~ᳮ!.)⚪=^LIjᔠ⚪ὃ+,ᐰ:HGIḄᑨឋ{MHGIḄᑨឋ{:ῪHGIḄឋ{}~ᳮFGHGIḄឋ{Ḅឋ{:ᮣᵨឋ{⚪=⚪Ḅᐵ>.25.ூᫀ௃(1)ᱥg᪆5y-a(x+2)(x-4),C(0,8)ᐭva=-l,•••y=-x2+2x+8=—(x—iy+9,⚔\஺(1,9)"(2)•••C(0,8),£)(1,9),ᐭFg᪆5y=kx+b,.=8“▲+b=9'v:y=%+8,E\ᙶ᪗(-8,0),ᦻ=4y=44-8=12,\ᙶ᪗(4,12),•EO=8,vBF//y:.;CFB=;ECO,᝞Z1,]CG//X8RG,••CG//EO,•••3FCG~XCEO,,:EO=CO,CG=FG,•G(4,8),᝞Z2,[\C]CGJL8FRG\,v;CFG=;ECO,

25•.DFCG'-'ACOE,.CF_FG**CO-CEVCF=4V2.CE=8V2.CO=8,ூ᪆௃(1)ᱥg᪆5y=a(x+2)(x—4),¥\Cᐭᓽ"(2)ᑖ¦!&EஹF\ᙶ᪗ᵫRCO஻BF,4EC஺=4EFB©ªM:ᑖH«¬®¯জ;FGC=90஺ঝNFCG=90஺ঞ“FG=90஺ᑖ¦!G\Ḅᙶ᪗ᓽ.)⚪=J./ᦪḄjᔠ⚪±²³´J./ᦪḄZµ¶ឋ{HGIMḄᑨ¶ឋ{,ᑖ·®¯ᦪI¸ᔠ=⚪Ḅᐵ>.26.ூᫀ௃Aூ᪆௃|-||=|.ᦑ⌱A.»¼½¾¿Ḅឋ{!ᓽ.)⚪À⌕ὃ+Ḅ=½¾¿Ḅឋ{±²³´½¾¿Ḅឋ{=⚪Ḅᐵ>.w26⚓ᐳ41⚓

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30;F=;FCB,•••BF—BC=6,.-.AF=BF-BA=6-4=2,ᦑ⌱:B.àáBF=BC=6,᪷vAF=BF—4B6ᓽ`.b⚪ὃ2Þ-ᩖÞ!yÃߺ»ḄឋÇ!½yᑖOḄ%{!Ὺؽ»Ḅᑨ%i³!⚪ḄᐵnÉÊËbi³!ÌÅ-ὃÍὃ⚪Î.37.ூFᫀ௃Cூ᪆௃=᝞!å¸æ»D'C'O'E'¸æ»஺CDEç%éᔣëyì#Ḅ¸æ»!•••⚔Q4BḄᙶ᪗ᑖîT(—2,6)(7,0),•■AC=6,OC=2,OB=7,BC=9,•••ßº»OCDE¸æ»,DE=OC=0E=2,•••O'E'=O'C=2,vE'O'1BC,•••;BO'E'=;BCA=90°,E'O'“AC,@.4B0'E's4BCA,.E'O'BO>,•~~~_BACBCr.2BO/"6~BO'=3,@.OC=7-2-3=2,••ïQEðᙠABº¥ª!yìḄòóT=OC+O'C'=2+2=4.ᦑ⌱=C.᪷vôiᩩ¨ᑮAC=6,OC=2,OB=7,6BC=9,᪷v¸æ»ḄឋÇᑮDE=OC=OE=2,6O'E'=O'C=2,᪷vÂöؽ»ḄឋÇᑮB஺'=3,Åᑮ÷.

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37ூX᪆௃(1)᪷¢©:Ḅឋ´,AB=BC.ᵫNB=60஺,AABC[!¨x=:+,ABAC=AB=60°,AB=4C.ᵫS4Sᓽ+BX0(2)᪷¢x=:᜜=Ḅឋ´,NFGC=NGHC+NACE,᪷¢ᐰ!x=:Ḅឋ´,NB4F=Z.ACE,ᓽ+,/FGC=Z.GAC+^BAF=^BAC=60°0(3)lAE=BF=x,ᑣBE=3-¶᪷¢=x=:Ḅឋ´,ZE=BF=x=1,ᑣBE=2,EF=y/3,CE=yjEF2+CF2=·.¦uAEG-^CEA,ᵫ¸¹x=:Ḅឋ´,4G=!=º=»ª="ᓽ᜼=ᯅ.᪷¢ᐰ!x=:Ḅឋ´¿ÀÁḄឋ´+,AAEC=Z^G.nJWAAEG-^DAG,ᵫ¸¹x=:Ḅឋ´,Â=ᚪ=0,ᓽ+,CG=DGAD3N⚪[¸¹:Äᔠ⚪ὃ/S©:Ḅឋ´!¨x=:Ḅឋ´ᐰ!x=:Ḅᑨ¿ឋ´¸¹x=:Ḅᑨ¿ឋ´!ÇÈX⚪ḄᐵZ[ÉbÊËᐰ!x=:ᡈ¸¹x=:XÍÎ⚪Ï_ὃÐÑ⚪.47.ூᫀ௃X(1)ÒᱥÁஹ=஺/+Õ0-3Öhi×_2,0),£)(4,-3),.(4a—2b-3=0•••I16a+4b-3=-3'X,4b=-1ÙÚÒᱥÁḄᦪ⊤ÜÝy=ÞßÞ30(2)V71(-2,0),0(4,-3),•••Á4஺ḄᦪᐵàÝy=J"-1.᝞J1,hiPjPE஻yÑã4஺iE.J1l—t—3),ᑣE(t,—1—1),ª38⚓ᐳ41⚓

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39øùDḄ_iG,ú4Gûi4⌮┐þÿ90஺ᑮ4Q,ᑣtan4DQ==DQᱥḄᓽP.4MN஻yᑖ஺ஹQMNḄᚖQM4,NQANAQ1:.---=----=——=AMDMAD23NQ=j,AN=3,Q(-,3),ᑣDQḄᦪᐵ#$y=%1+?•-x2-%-3=--x4-433&'()*X1=-T૙=4(+,).••P(/012ᡠ4ᡠᨵ67ᩩ9ḄPḄᙶ᪗ᑖ(0,-3)ᡈ(-0=.ூ&᪆௃(1)ᑭᵨCD#ᦪEFDᦪ&᪆$G(2)✌ᐜFDADḄᦪᐵ#$y=.᝞K1,PPE஻yZCLE.P(t,it2-t-3),ᑣ-ᑭᵨMNḄOPQ$RSPEḄTUᑣSV=SAAEP+S&DEP=PE•6=—Vt2+11+6=_V(t_1)2+W.ᡠ᪷YZ[ᦪᨬ]ḄRE&^ᓽ_G(3)ᑖM`abcd&^V(I)᝞K2,ePᙠ4஺g)hihPCjᔠPḄᙶ᪗(0,-3)G(II)᝞K3,ePᙠAD2)hl4஺ḄmG,n4Go4⌮h┐rs90஺ᑮ4Q,=40⚓ᐳ41⚓

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