河北省衡水市2019-2020学年中考数学五模考试卷含解析

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᪆௃ᑖ᪆/(4)0&B1BH_LOA2H,᝞44(4),᧕6789OCBH:;9<=ᨵOC=BH,?◤ᙠAHBBCᵨDEFᦪGBHᓽ$.(2)0&B1BH±OA2H,0&G1GF1OA2F,0&B1BRJLOG2R,HMNஹDG,᝞44(2),ᑣᨵOH=2,BH=4,MN±OC.JᙊḄLM)r,ᑣMN=MB=MD=r.ᙠRtABHDBCᵨNOPᳮ$Gr=2,=ᑮ&DS&HTᔠ.᧕6AAFGs^ADB,=$GAFஹGFஹOF,OG,OB,AB,BG.JOR=x,ᑭᵨ-OR2=BG?-RG?$Gx,$GBR.ᙠRtAORBBCᵨDEFᦪU$VW⚪.(4)ᵫ2ZBDEḄE[\P<ᦑ◤ᑖ^_`a,$ᑖDb^_(জNBDE=90஺,ঝNBED=90஺,ঞNDBE=90஺)`a<ᯠgCᵨhiDE9ḄឋDEFᦪjklmnᐵ2tḄpqU$VW⚪.r/(4)0&B1BH_LOA2H,᝞44(4),ᑣᨵNBHA=9(T=NCOA,.OC஻BH.VBC/7OA,<789OCBH:;9

16ᳮD~IOB=2⌲AB=4Q\.,.BG=5AB=2Ô.´OR=x,¡¢|RG=2Ö-x.VBR1OG,:.ZBRO=ZBRG=90°,/.BR2=OB2-OR2=BG2-RG2,:.
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2.#~Ix=×.\BR2=OB2-OR2=
2J52-ØÙÚ2366A/52=.-.BR=22LL.55556BR——3ᙠRSORBisinNBOR=—=ஹOB-^=-52V53ᦑᫀoÛ.(4)জmNBDE=90஺qNDᙠABCO,OEOPOEtr/.=‘—=çOE=J5t.OBBC2752ஹ■:OE+BE=OB=2&t+ᑶt=2.555J5I——;-------r10#~It=-,.-.OP=-,OE=^i,PE=062_°é=,3333NEḄᙶ᪗oØÚ.33ঞmNDBE=9
஺q᝞4.ÜqPE=PA=6-t,OD=OC+BC-t=6-t.¡1JᨵOD=PE,EA=J/+ë2=Ô6-t
=6ì-⊟t,

17.•.BE=BA-EA=4v-
60-xt
=@-2y.VPE/7OD,OD=PE,ZDOP=90°,789ODEP:;9<.,.DE=OP=t,DE/7OP,/.ZBED=ZBAO=45°...BE-x/2r-ᙠRtADBEB,cosZBED=—=-^,ADE=V2BE,•'•t=V2
V21-272=2t-4./t=4,.*.OP=4,PE=6-4=2,.,.&EḄᙶ᪗)4,2
.z{ᡠ}/~BஹDஹE)⚔&ḄDE9:EDE9&EḄᙶ᪗)
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.&/⚪ὃᙊᕜEPᳮஹᑗḄឋஹhiDE9ḄᑨPSឋஹDEFᦪḄPஹyᑖᡂஹ;9ḄᑨPSឋஹNOPᳮjkl<ὃᑖ`aḄᦪ<ᨵPḄzᔠឋ.20.(1)6᪆(2)~n=5<8)37ḄEDE98Ḅᑖ)12,1.ூ᪆௃ூᑖ᪆௃(1)᪷⚪¡?◤⌕6a?+b2=c2,ᓽ$s(2)᪷⚪¡£n=5¤ᐭᑮa=L(m2-52),b=5m,c=-(m25),¦£EDE9Ḅ8)2237,ᑖᑖDb^_¤ᐭa=(m2-52),b=5m,c=-(m2+25),ᓽ$s22ூr௃

18(l)Va2+b2=(2n+l)2+(2n2+2n)2:=4n2+4n+l+4n4+8nJ+4n2=4n4+8n3+8n2+4n+l,c2=(2n2+2n+l)2=4n4+8n3+8n2+4n+l,.*.a2+b2=c2,•••no᦮ᦪ...aஹbஹcVtîïᦪ(2)#I♦.,kS.".a=—1(m--522),b=5m,c=—1(m2~+25),22••,<=>=?Ḅo37,...ᑖ>ðজma=37q-(m2-52)=37,2#~m=±3Ti(ñᔠ⚪¸óô)ঝmy=37q5m=37,37#~01=õ(ñᔠ⚪¸óô)ঞmz=37q37=-(m2+n2),2#~m=±7,Vm>n>0,mஹnVASḄ᜻ᦪ.\m=7,öm=7÷ᐭজঝ~x=12,y=l.ùᡠ×Imn=5qo37Ḅ<=>=?L.Ḅᑖûo12,1.ூNO௃Ü⚪ὃR¬îïᦪüîïᳮýþÿ
ᳮ⚪ᐵ21.1.ூ᪆௃ூᑖ᪆௃ᑭᵨḄឋᢣᦪḄឋᢣᦪḄឋᑖ!ᓄ#$%&ᫀ.ூ)௃*+,=-1+6+4-1-(6-1)=-1+8+4-1-73+1=1

19ூ&௃⚪ὃ§ᦪḄC¨<©ᢣᦪ«<¬᦮ᦪᢣᦪ®<⚪Ḅᐵ¯:°±«ḄC¨²ᑣ.22.x+2ூ᪆௃ூᑖ᪆௃ᐜ´µ¶·Ḅᑖ¸ᑖ<ᓄ"<¦¹¨◀².ூr௃„x+1x+Xx-2/»=----x-----------------=x+2x-2x+1ூ&௃½⚪T&ὃ¾¿ÀᑖḄᓄ"ḄÁᵨ<°±¸ᑖÂÃᑖ:⚪Ḅᐵ¯.23.1ூ᪆௃ூᑖ᪆௃⚪ÄÅÀஹᱯÇEḄDEFᦪஹ¬ᢣᦪÈஹ᪷ᓄ"ஹÉp5Êὃ&<ᐜ┐ÀÌÊὃ&ᑖy¹¨<ᯠg᪷§ᦪḄC¨²ᑣG¹¨Íᓽ$.ூr௃/»=2-6+2xÎ-3+12=1.ூ&௃⚪ὃ§ᦪḄzᔠC¨
<:ᔜᙢBὃ⚪BÑḄ¹¨⚪Ò<V½⚪ÓḄᐵ¯:ÔÕ°±ÅÀஹᱯÇEḄDEFᦪஹ¬ᢣᦪ«ஹ᪷ᓄ"ஹÉpjὃ&ḄC¨.24.(1)0,1,4,5,0,0(2)14,84.5,1(3)ᵬ<ᳮᵫ᪆ூ᪆௃ூᑖ᪆௃(1)᪷ᢚع4ᦪÙyÚ⊤ᓽ$(2)᪷Ü

2085Vx<8901ᨵ89,86,86,85,86,ᐳ54590Vx<940195Vx<10067ᐳ04.ᦑ&ᫀ90:1;4500ফᵫ<=>*ᵬḄᨬAᑖ989ᑖ7ᨬBᑖ975ᑖ7᩽D989-75=14ᑖ5,ᵬḄᡂG9HBᑮA᣸ᑡ9*75,1,82,83,84,85,86,86,86,89,.•.MNᦪ9,(84+85)=84.52,OḄᡂG9HBᑮA᣸ᑡ9*72,76,1,1,1,83,87,89,91,96,1%P3Q7OᡂGḄRᦪ91.ᦑ&ᫀ91484.51(3)ᵬ7ᳮᵫ*STḄUᙳᦪWXYᵬḄZD[\O7]^ᵬᡂG_5STḄUᙳᦪWXYᵬḄ᩽D[\O7]^ᵬᡂG`ᓄb[.ᡈ*O7ᳮᵫ*ᙠ9%XW100ḄᑖᦪeM7OḄQᦪᜧ\ᵬ.(&ᫀhij7ᳮᵫklᥛnopq)ᦑ&ᫀ9*ᵬ7STḄUᙳᦪWXYᵬḄZD[\O7]^ᵬᡂG_.ூst௃u⚪ὃwᢚyz{<7z{⊤7Uᙳᦪ7MNᦪ7Rᦪ7ZD7᩽D7⚪ᐵᙠ\}~ᑣᵨ>ᩭᦪ.25.(1)^᪆5(2)▢ᑖḄ☢9ூ᪆௃ூᑖ᪆௃(1)OC,ᐜ^NOAC=NOCA,$ᑮOC஻AE,\$ᑮOC,CD,^DE஺€>Ḅᑗy5(2)ᑖ!%OCDḄ☢ᡧOBCḄ☢7ᑭᵨS▢=SACOD-SᓭOBCᓽ=$U&ᫀ.ூ)௃*পOC,VOA=OC,.,.ZOAC=ZOCA,ACUᑖNBAE,.".ZOAC=ZCAE,.,.ZOCA=ZCAE,OC஻AE,AZOCD=ZE,VAE±DE,NE=90஺7/.ZOCD=90°,AOClCD,•sCᙠᙊ஺£7OC9ᙊ஺Ḅ¤¥7...CDᙊOḄᑗy5(2)ᙠR3AEDM7VZD=30°,AE=6,AAD=2AE=12,ᙠRtAOCDM7VZD=30°,/.DO=2OC=DB+OB=DB+OC,ADB=OB=OC=—AD=4,DO=8,3•••CD=^DCf-OC2=782-42=4¦

21CDOC473x4oSAOCD==873»VZD=30,ZOCD=90°,22_1§ZDOC=60°,ᡧ9OBC=
xxOC2=-^,n03ஹஹ.ᔆ8"S▢î=SACOD-Sᡧ9OBCS▢î=8ஹ/3——(4)32¨Tூ᪆௃ூᑖ᪆௃᪷“«⚗Tᦪ=Tᦪx®⚗ᡠᓰ¦ᑖ±”7“ᡠᓰ³´=360´x®⚗ᡠᓰ¦ᑖ±”ᩭᑡ%,µ7ᓽ=%&ᫀ.ூ)௃:(1)4004-40%=1000(A)150(2)360°x-------=54°,1000ᦑ&ᫀ9*1000T554°(3)1-10%-9%-26%-40%=15%15%xl000=150(T)&*Tᦪ952.8¨T.

22ூ&௃⚪ὃð4⊤ñòḄ
<ó᪷4⊤ôᑮõ⌕ᩩ÷:⚪ᐵ¯.27.(1)273(2)ø6ব᪆.ூ᪆௃ᑖ᪆/(1)᪷᪆GCḄᙶ᪗<GDḄᙶ᪗<ᓽ$GDHḄú<ûy=0,GA,BḄᙶ᪗<ᯠg6ZACOsaEAH,᪷ÀÁ8ᡂGEHḄ<üGDEḄ(2)ô&Cᐵ2DEḄÀý&N(4,V3)<ô&Cᐵ2AEḄÀý&G(-2,-þ)8ᡂ53@gḄA8CFPF”,'FF”=4,ᯠ>ᑖ6DEF33GHᓽ*.J⚪᪆(1)LMᱥy=-Ox2+Q+RSx=0,T=ᶔᓽC(0,⍩)D(2,⍩)-,.DH=V3>Sy=0,ᓽ-^-x2+-^l-x+A/3=0,xi=-1,X2=3,33...A(-1,0),B(3,0),VAE±AC,EH±AH,/.ACO^AEAH,OC=OAᓽZ-1,AAHEH3EHEH=V3[!)DE=2V3(2)]
CᐵDEḄL_
N(4,J)]
CᐵAEḄL_
G(-2,-⍩)`aGN,AE
F,DE
P,ᓽGஹFஹPஹN
ᐳCPFᕜ=CF+PF+CP=GF+PF+PN

23ᨬ[,yGNḄ᪆,*y^gx-»5yAEḄ᪆,*y=-¾33ὶ½$*F0,-¾¿7P2,¾¿733ÀsMÁyÂḄUÃyÄFH\sQ,ÅsMm,-2ஹ3m+ஹÈ¿,ᑣQ
m>É6m-½"
,0C0,ஹ,F0,Ñ2
P2,ÑÒ¿,33.•Ó=ÔCP=JcD2+Dp2=Ô,VOC=V3OA=1,§ZOCA=30°,VFC=FG,.,.ZOCA=ZFGA=30°,.,.ZCFP=60°,.•.CFP9ÕÖ׳7ÖØ9ÙÚ73Ûᢚ0ÜᡂÖØ9ÙÝḄÞC'F'P'F",YFF”=4,31
ßKF=KF"à7᝞<3,sKᙠPF”ḄᚖUᑖy£7ᡠKãBäᔠ7ᙶ᪗9
3,.,,OK=32
ßFF"=FKà7᝞<4,.•.FF"=FK=4,•FPḄ᪆,9*y=^x-è7...ᙠUéÀêM7FKãxÂḄᜳ³930஺7■:ZOAF=30°,.,.F'K=F'A.*.AK=4A/3.•.OK=4ᢈ1ᡈὅ4Ü13
ßF"F=F"Kà7᝞<5,

24:.NAF
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AF஻=8,AAK=12,/.OK=1,î£ᡠï*OK=3,4A/3-L4ð1ᡈὅLst*ñ⚪§QòᦪḄîᔠ⚪,ὃwó§QòᦪḄÄsôõᦪ§QòᦪḄ᪆,ᨬö⚪,ὃwó׳W÷Ḅᑨãឋ7ÕÖ׳Ḅᑨãឋ7ÕῪ׳ḄឋÕ7ᑖúûqḄüý⚪Ḅᐵ.

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