河北省石家庄市2019-2020学年中考数学三模考试卷含解析

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8Cஹ•.,a+b+14=a+(a+l)+14=2a+15,c+d=a+7+(a+l)=2a+15,.*.a+b+14=c+d,⌱⚗Cæåᔠ⚪dDஹVa+d=a+(a+l)=2a+Lb+c=a+l+(a+7)=2a+l,.a+d=b+c,⌱⚗Dæåᔠ⚪d.ᦑ⌱gA.ூ(§௃ὃ¬çᑡÞᦪ9ᑭᵨÝaḄÞᦪ9⊤ßBb,c,dz⚪Ḅᐵ³.6.Aூz᪆௃´⚪ᑖ᪆gé1êë2BᦪxÞᐭµµᔲåᔠᓽº.zgìíîB1,ïîB4,ðìíîB2,ïîB3,îBḄXD3x10=30,30+4x3=42,ᦑ⌱A.(ñgÍ⚪òóô⚪õ.é1▅÷øᑣ2Bùãä.z⚪ᐵ³5Ëᐭúæ⌕û┯56ᐵÇ.7.Dூz᪆௃ᑖ᪆g᪷xÅᦪXýᦪḄòzgýᦪÀᦪxBþÎᦪᨬḄᦪᦪᦪ⌕ᦪᢥᑮᜧḄ᣸ᑡᨬḄᦪ(ᡈ"ᦪḄ#ᙳᦪ)&ᦪ.()*+ᦪ,-᣸ᑡ&17ஹ18ஹ18ஹ20ஹ20ஹ20ஹ23,ᡠ01ᦪḄᦪ&20ᑖஹᦪ&20ᑖᦑ⌱*D.56*7⚪ὃ:;<=1ᦪḄᦪ>ᦪḄ?@.ABCDDE0ᭆGHIJKLMNOPᏔᦪᩭ<=ᦪ,᝞cᦪᨵ᜻ᦪᑣfḄᦪgᓽ&ᡠi᝞cjᏔᦪᑣ"ᦪḄ#ᙳᦪ.8.Cூ)᪆௃n⚪ᑖ᪆*᪷opqḄrstpq&u☢DwxyzsᐳᨵofN|ᙠᩩu.ᦑ⌱C.ὃ5*opq9.Dூ)᪆௃ூᑖ᪆௃&#⌕ᑮoḄjᑭᵨᚖ#ᑖuḄ5ᑮ"Ḅs⌕ᙠoᚖḄ5u.

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11VBE=-icD,CF=^D,.SAEFC3••-------=-f,¦CBE2•*•SAEFC="|SACBE=^SAMNE,Q.••SAECF=-Sᦑঞ^_FAWVBM=NM,EM_LBD,.♦.EB=EN,.,.ZENB=ZEBN,VCD/7AB,/.ZABN=ZCDB,VZDNF=ZBNE,:.ZCDN=ZDNF,...DFNQ1Ὺ!"#2ᦑট^_Fᦑᫀ¬জঞট.ூ:௃ὃ0¸!"#ḄᑨÍឋDFᐰ1!"#ḄᑨÍឋDF'§µ¶#ḄឋD.ூ᪆௃ூᑖ᪆௃ᵫKᐜAஹBḄᙶ᪗2Òy=kxḄ᪆2Ó᪷&y=kx'ÔÕB,Ö'Ḅ᪆¬y=kx+b,£Bᙶ᪗ᐭᓽ.ூ௃9x=2¡2y=—=3,AA(2,3),B(2,0),x•.•y=kxÕA(2,3),3/.3=2k,Ak=—,2.3..y=x,23

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1v=-2x2+x+3
2NACB=41°
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162
BH_LACH,!Ḅ"#$ᓽ!NACBḄ#ᦪ.3
&"CD'x(G,ADCE^AAOC,)*NCAO=NDCE.!+CDḄ,-$.ᱥḄ,-ὶ0ᓽDḄᙶ᪗.a-b+3=0⚪᪆1
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2BH±ACH,3•••Aᙶ᪗:;1,0,Cᙶ᪗0,3,Bᙶ᪗:;0,2.*.AC=V10»AB=-,OC=3,BC=-V5.22VBHAC^OCAB,ᓽNBAD=8"•==?x3,2.◌-3M,"L5LI—------4RtABCH?$=BC=-\/5,ZBHC=90",42/ysinZACB=——.2@VZACB┦B,:.ZACB=45°.
3&"CD'x(G,VRtAAOC?$AO=1,AC=V1
,.•.C°SNCAO=^=DAC10VADCE^AAOC,$)*NCAO=NDCE..^ACE•.cosZ.GAC=———-=-------=-——••AGAG10/.AG=1.r.Gᙶ᪗4,0.,3•1Cᙶ᪗0,3,liy=——x4-3.CD

1773cX——V=—x+3¡8x=0.y4C(H).75(7=3y=-2x+x+3...Dᙶ᪗22.(1)A(4,3)(2)28.ூ᪆௃ூᑖ᪆௃33(1)AJKLMᦪy=JxN;OMᦪy=-x+7PQḄ'ᙶ᪗$y==xNy=-x+7ὶ0Rᡂ,-44R$,-RḄTAḄUVᙶ᪗W(2)XAx(Ḅᚖ$ᙠRSOAD?$ᵫ[\]ᳮOAḄ"$_ᵫBC=OAOBḄ"$ᵨPḄUᙶ᪗a⊤a!BஹCḄᙶ᪗$ᑭᵨBCḄ"ac,᪷eSAOBC=^BCOPᓽ4OBCḄ☢g•ூh௃[3.y=-xx=4(1)ᵫ⚪24,1+7I—...AḄᙶ᪗9(4,3).(2)XAx(Ḅᚖ$ᚖi9D,ᙠR3OAD?$ᵫ[\]ᳮ$OA=sloD2+AD2=742+32=577...BC=-OA=-x5=7.5533.7_P(a,0),B(a,—ci),C(a,
a+7),BC=—ci—{—ci+7)=—Q—7,4447A—a—1=7,a=8.4/.S&OBC=~BCOP=—x7x8=28.484_23.(1)ᱥḄ᪆9y=-§x~9+1X+4(2)PM=--m92+4m(0

18PmAPFCNpAEMst.uvmḄc9;ᡈ1,pPCM9+BzB{ᡈ|ῪzB{.16ூ᪆௃ூᑖ᪆௃(1)~A(3,0),C(0,4)ᐭy=ax2-2ax+c,ᵨ]ᦪᓽ!ᱥḄ᪆.(2)ᐜ᪷eAஹCḄᙶ᪗$ᵨ]ᦪ!+ACḄ᪆$E᪷eᱥ.+ACḄ᪆ᑖ⊤a!PஹMḄᙶ᪗$ᓽᑮPMḄ".(3)ᵫNPFC.NAEM+B$F.E$ᑣPஹCஹF9⚔ḄzB{.pAEMstv,ᑖ
জPFCS/^AEM,ঝCFPS/^AEMᑖᵨmḄᦪ⊤a!AEஹEMஹCFஹPFḄ"$᪷estzB{ḄKs|ᑡ!KL$!mḄc$_᪷estzB{Ḅឋ£$+BzB{ஹ|ῪzB{Ḅᑨ]ᑨ¥!pPCMḄ{¦.ூh௃(1)\•ᱥy=ax?-2ax+c(a#)ªXA(3,0),C(0,4),4.9a-6a-c=0a=—,®3.c=4c=448ᱥḄ᪆9y=—§x92+1x+4.(2)±+ACḄ᪆9y=kx+b,VA(3,0),C(0,4),43k+b=0k=—µA®,®3.ub=4,b=44+ACḄ᪆9y=--x+4.••,MḄUᙶ᪗9m,MᙠAC·$_4$MḄᙶ᪗9(m,--m+4).•••PḄUᙶ᪗9m,Pᙠᱥy=—§x2+1x+4·$;4o8$PḄᙶ᪗9(m,--m~+-m+4).334844?9PM=PE—ME=(——nr+—m+4)—(——m+4)=——nr+4m.33334,/.PM=——m-+4m(0

19,a-x-^-44^^AAᵫ⚪2$rAE=3-m,EM=—m+4,CF=m,PF=mH—m+4—4=—m-d—m;;33333PஹCஹF9⚔ḄzB{.AAEMst$ᑖ484জAPFCs^AEM,Æ!|PFAE=FCEM,ᓽ(;;m2+-m)(3-m)=m(——m+4),33323QVÈmW3,:.m=—.16,/PFC^AAEM,.*.ZPCF=ZAME.VZAME=ZCMF,AZPCF=ZCMF.ᙠ+BACMF?$VZCMF+ZMCF=90°,AZPCF+ZMCF=90°,ᓽNPCM=90஺..1PCM9+BzB{._484ঝACFPs^AEM,ÆË|CFAE=PFEM,ᓽm(3-m)=(;;m2+-m)(;;m+4),333■:m#0Èm*3,:.m=l.VACFP^AAEM,/.ZCPF=ZAME.VZAME=ZCMF,AZCPF=ZCMF.ACP=CM.•••PCM9|ῪzB{.Ì·ᡠÎ$jᙠ5᪵ḄPmAPFCNpAEMst.uvmḄc9;ᡈ1,PCM9+BzB{ᡈ|16ῪzB{.927924.(1)y=-(x>0)(2)SNtḄMᦪᐵ9S=-3t+9(03)ÏS4;v$xt2Ḅtc93ᡈ6(3)Ït=ÐᡈÎᡈ3v$mFBO9|ῪzB{.222ூ᪆௃ூᑖ᪆௃(1)ᵫJ,{OABCḄ☢g99,BḄᙶ᪗9(3,3),ÑEÒÓKLMᦪḄ᪆.99(2)ᵫ⚪2P(t,—),ᯠÕᑖÏPiᙠBḄÖ×v$S=t•(—-3)=-3t+9NÏP2ᙠBḄtt927Ø×v$ᑣ$=(t-3)
;=9-;Úᑖ᪆ᓽÛᫀWtt(3)ᑖOB=BF,OB=OF,OF=BFÚᑖ᪆ᓽÛᫀ.ூh௃(1)•.•J,{OABCḄ☢g99,.,.BḄᙶ᪗9(3,3),BᙠÓKLMᦪy=A(k>0,x>0)ḄPÝ·$X

20ᓽk=9,9
••¢£¤¥ᦪḄ᪆b#$y=C(x>0)x9(2)᪷a⚪Iv$P(t,-),9ᑖD$জ¨%©ᙠ%BḄª«,S=f(——3)=-3t+9(03)t93¨S='QḄtx#tᡈ6t2(3)ᙠ.¬OB=BF=3&,µCF=BC=3,.,.OF=6,9..6=—,t3v$t=729¬OB=OF=3¶±I31t$,v$t=£l;2¬BF=OF,µ%FCEᔠt=3.•.¨t=3ᡈ⌳ᡈ3AFBO#-Ὺ./0.22ூ%&௃µ⚪ὃ*¢£¤¥ᦪḄឋ3ஹ¹³ᦪh¥ᦪḄ᪆bo1-Ὺ./0Ḅឋ3.µ⚪yzºᜧ⚪ᐵHI78ᦪ0»ᔠ¼½ஹᑖ¾¿À¼½Y¼½ḄQᵨ.25.1860ᑖ

21ூ᪆௃ᑖ᪆$(DÁÂ0Ã4ᜩᦈᑮBᔁᨬÉᵨÊ0ḄËz£=⚣ᦪÍ£ᓽvS»À(2)ᵫmÎÏÐÑᔜÊ0ḄËz£ᓽ#⚣ᦪḄ£ᵫᦪaÓᦪ=ÔÎḄ⚣ᦪ+⚣᳛}\(3)᪷aᭆ᳛Øb}\ᓽ(4)ᑖÙ}\Ã4ᜩÃ6ᜩḄÚᝄ᳛£ºᓽ.$(1)ᵫ$Ã4ᜩᦈᑮBᔁᨬÉÜᦪ#x,!|$46=2x,v$x=18W(2)2-r[44-(2+3+4+6+4+1)]=60Ü1QO3(3)PÃ4ᜩÞᑮÃ4ᜩßᦈBᔁḄᭆ᳛à(4)Ã4ᜩᦈßBᔁÚᝄ᳛2=áÃ6ᜩᦈßBᔁÚᝄ᳛52•CீC93•••Ã6ᜩᦈßBᔁÚᝄ᳛Ë.%&$'⚪ὃ*+⚣ᦪᑖãḄ78᪷aäåhS⚣᳛ᵨᩭç}ᭆ᳛.ᵨᑮḄ>%#$Óèᦪé=êᑖᦪé+ÐQ⚣᳛.êᑖḄᐹèᦪé=ÓèᦪéxÐQ⚣᳛.ᭆ᳛=ᡠhᦪÓᦪÍ£.26.(1)—%2+—x+2W(2)m=3W(3)'1"222ூ᪆௃ூᑖ᪆௃(D'⚪◤ᐜ᪷aíXA%qᐭᓽhS᪆b(2)ᵫAOABS2^PANᵨm⊤ïSPN,ð023⊤ïSPM,ᵫᩩ|vᑮᐵmmḄYᑣhvmḄx(3)ᙠyñC%Q,ᯅ=l3ḄP2OBsaQOP2,ᑣhvQ%ᙶ᪗ᑣóAP2+5BP2ôᣚ#AP2+QP2,ᑭᵨ./0.ᐵ³¨AஹP2ஹQ.%ᙠCᩩᨵᨬPxᑣhS!ᫀ.ூ
௃$(1)VA(4,0)ᙠᱥ**•0—16a+4(a+2)+2,va=—C21,3•••ᱥḄ᪆b#y=--x2+-x+2W1,3(2)***y——xH—x+222
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öx=0vy=2,AOB=2,

22VOP=m,AP=4-m,PM_Lx($.,.OAB-^APAN,.OBPN**OA-PA'.2_PN44-mPN=1(4-m),•••Mᙠᱥ·$123..PM=——ᶭ+—஻7+2,22VPNMN=13,APNPM=14,13c41ஹm2^+—m+2=4x—x(4-m),m=3ᡈm=4(HÚ)W3ᙠy(·é;Q,m*=j᝞P,ᵫ(2)êPi(3,0),ÈOB=2,OQOP_32~0^~~08~2ÈNP2OB=NQOP2,.,.pPOB<^AQOP,22OP32••ëߟ/,93.•.ÏQ(0,-)v$QPz=-B6,223AAP+yBP=AP2+QP>AQ,222

23...¨AஹP2ஹQ.%ᙠCᩩAP2+QP2ᨵᨬPx,ᓽAP2+-BP2ḄᨬPx#÷122ூ%&௃'⚪ὃ*+ᱥ᪆bḄhᱥÐø./0ḄB⚪ᙶ᪗³ù⊤ï./0Ḅ☢û1üᨬPxB⚪⌕hýᵨUkqþÿ
ᙶ᪗
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ᜧ.57512527.(1)y=-x2+2x+3,Dᙶ᪗(,)(2)111=
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ᨬᜧ%^24464535(3)mḄ%'ᡈ)ᡈ422ூ+᪆௃ூᑖ᪆௃y——x+3(1)ᑭᵨ123ᦪ456ᱥ8+᪆9:8CDḄ+᪆
ᯠ<+=>?2@Dᙶ᪗;y—;x~+2,x+3(2)BP(m,-m2+2m+3),ᑣE(m,--m+3),ᑣPE=-m2+—m,ᑭᵨDE☢!F@ᑮSAPCD=—X—X22225525=--m2+—m,ᯠ<ᑭᵨHIJᦪḄឋL+MN⚪248(3)PQRPC=PE
m2+(-m2+2m+3-3)2=(-m2+—m)2WCP=CE
m2+(-m2+2m+3-3)2=m2+2(--m+3-3)2WEC=EP
m2+(,m+3-3)2=2,ᯠ<ᑖT+=>ᓽV@ᑮWXᩩZ222ḄmḄ%.ூ[+௃[—\—b+c=0[b=2(1)\A(-1,0),C(0,3)ᑖTᐭ^=72+h+(:@ீ஺,+@<
c=3[c=32
•
6ᱥ8Ḅ+᪆y=-x+2x+3W\C(0,3)ᐭy=-yx+n,+@n=3,

24+CDḄ᪆9y=-gx+3,=1(Ay-x+3x=஺,-R.2,ðay=-^+2x+3[5x=—ᡈ;$/V=457$Dᙶ᪗9(;$;)W24(2)jᙠ.±P(m,-m2+2m+3),Æ!]E(m,-—m+3),2,1,5/.PE=-m2+2m+3-(----m+3)=-nr+—m,22.15,5ஹ5,255,5ஹ$125zz2z

SAPCD=—•;•(-m+—m)=----m+—m=-----(m------)+------,2224844645125Ïm=v$pCDPḄ☢gjᙠᨬᜧc$ᨬᜧc9464(3)ÏPC=PEv$m2+(-m2+2m+3-3)2=(-m2+—m)2,m=0(HÚ)ᡈm=2W24ÏCP=CEv$m2+(-m2+2m+3-3)2=m2+(--m+3-3)2,m=0(HÚ)ᡈm=?(HÚ)ᡈ223m=—W2ÏEC=EPv$m2+(-—m+3-3)2=(-m2+—m)2,m=§+(HÚ)ᡈm=-~~,2222ூô௃

25c⚪ὃ᪶fgRHIJᦪḄhᔠiᵨ.+⚪ᐵkRᮣmnᵨHIJᦪឋL
nᵨᦪoᔠpq.

26