广西柳州市柳江区2022年中考联考数学试卷含解析

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2021-2022ὃᦪᔁὃ
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16%(1)ᵫ⚪°Aw=(x-20)-y=(x-20)(-2x+80)=-2x2+120x-16a),xḄ±ᦪᐵyW=-2X2+120X-1600.(2)w=-2x2+120x-1600=-2(x-30)2+200,■:-2<0,/.x=30wᨵᨬᜧ|.wᨬᜧ|2.&³´µ├·¸hᓟº30ᐗhᜩ├·ᑭ¾ᨬᜧᨬᜧ├·ᑭ¾2ᐗ.(3)w=150@A.}-2(x-30)2+2=150,%Axi=25,X2=3.•.•3>28,.•.X2=3¿Àᔠ⚪°ÂÃÄ.&³ÅᡝÇ⌕hᜩÈA150ᐗḄ├·ᑭ¾├·¸Âhᓟº25ᐗ.20ஹপB%᪆(2)B%᪆(3)◤⌕Ê¡ḄᩩvAB=BC.ூ᪆௃j⚪ᑖ᪆(1)@᪷t0ᩩvᡈὅ/mḄÌÍឋᔠᳮ⌱ÎᐰxÐm᝞AABC@Z\BAD,ᑭᵨSAS@ÒÓ.(2)ᵫt0@AÔÕmAHBG!ÖÔÕmᵫ(1)@0NABD=NBAC,Aᑮ×GABxῪÐmÙAHBGḄbÚÕxQ;Aᑮ!ÖÔÕmAHBGÛm.j⚪%᪆(1)%×ABC^ABAD.ÒÓVAD=BC,ZABC=ZBAD=90°,AB=BA,.,.ABC^ABAD(SAS).(2)ÒÓVAH/7GB,BH஻GA,•••ÔÕmAHBG!ÖÔÕm.,/×ABC^ABAD,.•.NABD=NBAC.GA=GB.J.!ÖÔÕmAHBGÛm.(3)◤⌕Ê¡ḄᩩvAB=BC.D⚪ὃᐰxÐmÔÕmxàá0âὃàáãÒKäåæç9(3)R⚪èé⚪&ᫀ¿ê>.21ஹ(1)C(1,7);(1)জy=Ti—Ðxঝy=>*i+lx+Ð.JOJJூ᪆௃

17J⚪ᑖ᪆M(1)=9:-ᦪy=ax-4ax+cNOPQRx=L?x=l@ᐭy=%=y4ᓽUVCḄᙶ᪗;4a(1)জ᪷&VD[VCᐵ\xPNOᓽUVDḄᙶ᪗]^=CDḄ_`A(m,m),᪷&SAACD=3ᓽU=mḄ>ᓽ=VAḄᙶ᪗?A.DḄᙶ᪗@ᐭy=ax௃-4ax+c4Db"aஹcḄ>ᓽU9:-ᦪḄ⊤d1.ঝ`A(m,(m)(mᓽUAVḄᙶ᪗ᑖrstuMvCstuwa>0,ᑣVDᙠVCy4=VDḄᙶ᪗v9stuwaVO,ᑣVDᙠVCz4=VDḄᙶ᪗ᑖ{?AஹDḄᙶ᪗@ᐭy=axi—4ax+cᓽU=-ᦪ⊤d1.J⚪"᪆M(1)y=ax௃-4ax+c=a(x-1)i-4a+c....9:-ᦪ|}ḄNOPQRx=L~x=ly=x==,.'.C(1,7)-(1)জMVD[VCᐵ\xPNO(1,-0,.*.CD=3.`A(m,]m)(mᵫSAACD=10x(1—m)i=10,"m=-lᡈm=6().m

18AA(-1,C>CD=5.wa>0,ᑣVDᙠVCy4D(L—஺,312a4-c=-5,7ᵫA(—1,-9ஹD(1,C9)ߟ42+஺=C"waVO,ᑣVDᙠVCz4D(1,ᐲ),r3ri12a+c=-5>a=-5>

19.,.ZD'E'C'=ZNCC',.•,D'E'/ZCN,dÔÕmMCND!ÖÔÕmVZME'C'=ZMCE'=60°,ZNCC'=ZNC'C=60°,.♦.1^«^'K4NCC'xÕÐm.•.MC=CE',NC=CC',•••EC=2ë•••ÔÕmMCN஺Ûm.*.CN=CM,.CC'=-E'C'=y/3;22
জAD'=BETᳮᵫ1n80஺ᵫìíḄឋ$ANACD=NBCElᵫ1
0AC=BC,CD'=CE',/.ACD'^ABCE',.*.AD'=BE',a=180஺AD'=AC+CD',BE'=BC+CE',ᓽAD'=BE',@0AD'=BE'.ঝ᝞/CP,ᙠAACP8ᵫÐmÐÕᐵAAPVAC+CP,...A,C,PÐᐳAPᨬᜧ᝞/1,

20AᙠAD'CE8ᵫPD'EḄ8AAPJ_DE',PN=6.♦.CP=3,.♦.AP=6+3=9,ᙠRtAAPD8ᵫᳮAAD'=஻p2+pD2=2"[.ூ௃⚪ÔÕmᔠ⚪E⌕ὃG!ÖÔÕmḄᑨKឋ$ÛmḄឋ$!ðKìíḄឋ$xÕÐmḄᑨKឋ$ᳮ%(DḄᐵÔÕmMCNP!ÖÔÕm%(2)ḄᐵᑨñwA,C,PÐᐳAPᨬᜧ.23ஹ(1)%᪆(2)%᪆.ூ᪆௃j⚪ᑖ᪆(1)NBADḄ!ᑖBC^E,DCòl^Fᓽ@(2)ᐜ᪷!ÖÔÕmḄឋ$AwAB஻DC,AD஻BC,ᦑN1=N2,N3=N1.óᵫAF!ᑖNBADAwN1=N3,ᦑ@AwN2=NL@Awôã.j⚪%᪆(1)᝞/ᡠõAFᓽᡠ{(2)•••ÔÕmABCD!ÖÔÕm.•.AB/7DC,AD/7BC,.\N1=N2,Z3=Z1.AF!ᑖNBAD,d/1=/3,/.CE=CF.ὃ/>öD/!ÖÔÕmḄឋ$.24ஹ(1)I6+';(2)জa=l,b=-l,ঝm=2.ூ᪆௃(1)᪷⚪÷8Ḅøùúûᑣüúᓽ@

21(2)জ᪷⚪°ᑡw.}2ᓽ@{wa,bḄ|ঝᐜᑖþúwT(3m-3,m)T(m,3m-3)Ḅ|ó᪷{wḄ|ᑡwxyᓽ@Awôã.ூB%௃%(1)T(4,-1)=£Ḅÿ.(.)24-1_16a+b35ᦑᫀ(2)জT(-2,0)=-2T(2,-1)=1,3-2-225a+bl-4-=6clb=-lঝVa=l,b=-1,x+y^0,.,x2-y2,(x+y)(x-y)T••1(X,y)---------------xyx+yx+yAT(3m-3,m)=3m-3-m=2m-3,T(m,3m-3)=m-3m+3=-2m+3.VT(3m-3,m)=T(m,3m-3),A2m-3=-2m+3>m=2.ᵫজT*y)=x-y,T(x,y)=T(y,x)fx-y=y-x,•'•x=y.VT(3m-3,m)=T(m,3m-3),3m-3=Jm,/.m=2.ூ௃⚪ᐵ!"#$%&'()ᓄᡃ,-.Ḅ0123ᵨᐗ678ᡈᐗ678:;⚪..

2280x(010)ூ᪆௃(1)᪷&-ᦪ|}ᵨἠ¯ᦪ◀±Ḅ¯ᦪ²ᓽU=aḄ>ᵨ11¬ᑮ20¬Ḅἠ¯ᦪ◀±Ḅ¯ᦪ,²ᓽU"bḄ>(2)ᑖOWxWlO[x>10,ᑭᵨ´0ᦪ5µ-ᦪᐵ01=yzḄ-ᦪᐵ01ᓽU(3)`Aªᨵn¬⊤n,BªḄ¬ᦪ(50-n),ᯠ¡ᑖ0஺·0[x>10rstu᪷&(2)BḄ-ᦪᐵ01ᑡ,4D="ᓽU.ூ௃(1)ᵫyi|}zV(10,480),ᑮ10¬Ḅ¸ᵨ480ᐗ480m<..a=------x10=6800ᵫy2|}zV(10,480)¹(20,1440),ᑮ20¬B¡10¬Ḅ¸ᵨ640ᐗ.«.b=—xl0=8800(2)OWxWlO`y2=k2X,?(10,800)@ᐭ10k2=800,"k=80,2.\y2=80x,x>10,`y2=kx+b,?(10,800)¹(20,1440)@ᐭf10%+஻=80012=644"/20k+b=1440[b=l60**•y2=64x+160_80x(010)(3)`Bªᨵn¬ᑣAªḄ¬ᦪ(50-n)~01080xl0+64(n—10)+48(50—n)=3040,"n=30.ᑣ50-n=20¬ᑣAªᨵ20¬Bªᨵ30¬.

23ூV¾௃¿⚪À⌕ὃÁC:-ᦪḄᔠÂᵨ"⚪ḄᐵÃÄÅ´0ᦪ5µ-ᦪᐵ01.26ஹ(I)1666(II)~Æ15y=4x~x>15y=6x-30(IH)ÇÈᵬzᨴᵨË)18ᔴÇÈÍᵨË12ᔴூ᪆௃(I)᪷&⚪½²ᓽU(D)᪷&ᑖÎ-ᦪ"ÏᓽU15,y=15x4+(x-15)x6=6x-30(IH)`ÇÈᵬzᨴᵨË)XᔴÇÈÍᵨË(X-6)ᔴ.ᵫ⚪½MX-6V15^X>154(X-6)+15x4+(X-15)x6=126X=18,ÇÈᵬzᨴᵨË)18ᔴÇÈÍᵨË12ᔴ.ூV¾௃Õ⚪ὃÁḄᵨC:-ᦪ"ÐÖ▭Ñ⚪¿Ø⚪ÙÚBὃBḄÛVÑ⚪.ܽᙠÖ▭Ñ⚪Bᑭᵨ4Dᡈ4Db"ÐÑ⚪ḄÝᵨ45.27ஹ(l)a=3,6(—3,1)পI(—2,0),2(0.2),ூ᪆௃(1)ᵫVAᙠC:-ᦪ|Þz6A(-1,a)@ᐭy=x+4,=,aḄ>ᑮVAḄᙶ᪗ᵫVAḄᙶ᪗ᑭᵨ´0ᦪ5=,ßàá-ᦪ"᪆1ὶãr-ᦪ"᪆1ᡂ4Db"4DbᓽU=,VBᙶ᪗(1)gVAᐵ\yPḄNOVA஺gVBgᐵ\xPḄNOVBåæABçxP\VP,çyP\VQ,åæPBஹQA.ᑭᵨ´0ᦪ5=,QRABḄ"᪆1èé=,PஹQrVᙶ᪗.ூ௃"M(1)?VA(-1,a)@ᐭC:-ᦪy=x+4,Ma=-l+4,"Ma=3,VAḄᙶ᪗(-1,3).

24%A(-1,3)KᐭMNOPᦪy=£k=-3,3...MNOPᦪḄ⊤STy=--.>=x+4ὶVWXPᦪᐵYTᡂ78[3IீBḄᙶ᪗(-3,1).ᦑᫀ3,(-3,1)(1)_Aᐵ`yaḄbcA_B_ᐵ`xaḄbcB஺efABgxa`P,gya`Q,efPBஹQA,᝞iᡠk.•.•BஹBᐵ`xabcBḄᙶ᪗(-3,1),mḄᙶ᪗(-3,-1),PB=PB',•.•AஹAᐵ`yabcAḄᙶ᪗(-1,3),.,.AḄᙶ᪗(1,3),QA=QAS:.BP+PQ+QA=BP+PQ+QA=ABnᨬp.qrsABḄ᪆Ty=mx+n,m+n=3%ABWKᐭ\—3m+n=-lm=lீn=2rsABḄ᪆Ty=x+l.vy=0,ᑣx+l=O,x=-LPḄᙶ᪗(-1,0),vx=0,ᑣy=l,QḄᙶ᪗(0,1).ூ௃

25Õ⚪ὃÁßàá-ᦪ[C:-ᦪḄçVÑ⚪ஹ´0ᦪ5=-ᦪ"᪆1ஹPNOBḄᨬêRëÑ⚪"⚪ḄᐵÃM(1)ὶãr-ᦪ"᪆1ᡂ4Db"4Db=,çVᙶ᪗(1)᪷&PNOḄឋ<ì,VPஹQḄíî.Õ⚪ï\ðẠ⚪òó〉B"Ð⚪õ⚪öὶã"᪆1ᡂ4Db"4Db=,çVᙶ᪗ᐵÃ.