2021年内蒙古赤峰市中考数学试卷

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BEஹCE.ᑣNBECḄᦪ()A.20°B.30°C.40°D.60°ὃᙊᕜᳮᫀB᪆AC,᝞•••!ABCD஺0Ḅᑁ!,/.ZADC+ZABC=180°,.ZABC=180°-120°=60°,VAB%&AZACB=90°,/.ZBAC=90°-60°=30°,/.ZBEC=ZBAC=30°.ᦑ⌱:B.11.(3ᑖ)P(a,b)ᙠ,ᦪy=4x+3Ḅ-ᑣ.ᦪ/8a-2b+lḄ01

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21AH.0HজCF_LDEঝ01=2ঞGH=2ᣮটAD=AH,ᐸ[n0ḄHF33~ὃ&HᐰJKḄᑨឋnKḄឋ¡JKḄᑨឋRᫀHজঝটI᪆HH•..£mKABCD~m-24ḄnK&E~BCḄ[&/.AB=AD=BC=CD=2V5,BE=CE=V5,ZDCE=ZABE=90°,ZABD=ZCBD=45°,.,.}ABE^ADCE(SAS),/.ZCDE=ZBAE,DE=AE,VAB=BC,ZABG=ZCBG,BG=BG,.,.}ABG^ACBG(SAS),.,.ZBAE=ZBCF,/.ZBCF=ZCDE,XVZCDE+ZCED=90°,.,.ZBCF+ZCED=90°,AZCHE=90°,.-.CF±DE,ᦑজnVCD=2V5,CE=V5,ᵫ«¬ᳮWDE="D2+CE2="20+5=5,S=|CDXCE=|DEXCH,Ara/.CH=2,

22,/ZCHEZCBF,ZBCF=ZECH,/.}ECH^AFCB,.CH_CE••"1'BCCF.2_V5"2V5CFCF=5,.*.HF=CF-CH=3,.•.±ᦑঝnHF3᝞iz&A{AM_LDE|&M,VDC=2V5,CH=2,ᵫ«¬ᳮWDH=JDC2-CH2=«20-4=4,VZCDH+ZADM=90°,ZDAM+ZADM=90°,/.ZCDH=ZDAM,µ•.•AD=CD,ZCHD=ZAMD=90°,.,.}ADM^ADCH(AAS),/.CH=DM=2,AM=DH=4,.\MH=DM=2,XVAM1DH,.,.AD=AH,ᦑটn;VDE=5,DH=4,ME=HE+MH=3,VAMIDE,CF±DE,

23/.ZAME=ZGHE,VZHEG=ZMEA,AAMEA^AHEG,GH—HE**ANT-.GH_1••---------43AHG=pᦑঞ┯º.»+nḄᨵHজঝট.ᦑRᫀHজঝট.JஹIR⚪/ᐳ8⚪¾ᑖ96ᑖG19.10ᑖGᐜᓄÁÂÃÄHBf+/m+2-ÅGᐸ[m=GGT+2-ᐔG°ᓝV8—|-7|.ὃ&HÈᦪḄÉÊᑖËḄᓄÁÃÄÌᢣᦪÎÏ᦮ᦪᢣᦪÐ1\fzRᫀ:m+3'4(m2-4_5)I᪆HÒË=Óm-2m-2m-3__m2-9Hm-2°m-2_m_-_3•___m__-2___m-2(m+3)(m-3)1_m+3‘Ôm=(1)-l+(2-TT)°+V8-|-7I=3+1+2/-7=2ᡈ3rÒË——=^==—.2V2-3+32V2420.(10ᑖ)᝞iᙠRt^ABC[NACB=90°,&D~×mAB+&ØAC=AD.1
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25J2KᵫMNᐹᨵ7⊤ឋḄ12341250EᙳᜩḄṑḨᦪP᝞⊤:ṑḨt55.566.577.588.5ᦪ11210159102জSTᦪPḄUᦪVBᦪᑖW:,Yঝ[\]^_ᙳᜩṑ`t28ḄaᦪᜧcdeYJ3KA᪵hBᙳᜩḨtW6Ḅ4j<=122ak᪛mnᡈᑡ⊤p1q2aᙳᜩṑḨr:6Ḅᭆ᳛.ὃv1᪵wxḄy☠ឋYᵨ᪵h[\|}Y~ᩗᙳᦪYBᦪYUᦪYᑡ⊤4᪛mn4ᫀ᪆᪆J1KYAஹCஹDᐹᨵᐰ☢ឋᦑᫀ:BYJ2KজSTᦪPḄUᦪ7Bᦪ=7JKᦑᫀ7,7Yঝ[\]^_ᙳᜩṑ`t28Ḅaᦪᜧc12X50■=144JaKYJ3K᪵hBᙳᜩṑḨ5ஹ5.5ஹ6Ḅ4ᑖWAஹBஹCஹD,k᪛mn᝞nᐳᨵ12yḄ1q2aᙳᜩṑḨr:6Ḅᨵ2,1q2aᙳᜩṑḨr:6Ḅᭆ᳛12622.J12ᑖKᦻᓄᙢ☘e^¡¢B£\ᑜᑖᢇ¦§¨ᜧE

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27X”y^y,ñMஹNòóḄô⚔vïöòóḄ÷ᙳᩩᙶ᪗ùᚖå,22ᑣûöòóMஹNḄ“üᐵòó”.᝞n1BḄòóvMஹNḄ“üᐵòó”.(1)þÿAḄᙶ᪗(2,0).জBḄᙶ᪗(4,4),ᑣAஹBḄ“ᐵ”ḄᕜঝCᙠx=4#$%AஹCḄ“ᐵ”&'$(ACḄ)᪆+(2),-PḄᙶ᪗(3,-4),QḄᙶ᪗(6,-2)34ᦪ6=789X:;PஹQḄ“ᐵ”ᨵ=>?ᐳ$AᑏCkḄEF.7654321ᜓᵨ1ᜓᵨ2ὃHIJK4ᦪLᔠ⚪OᫀH(1)জ12ঝy=x-2ᡈy=-x+2(2)-24

28.CZ4,2[ᡈZ4,-2[,\ACḄᐵ]+Hy=kx+b_Z2,0[ஹZ4,2[`ᐭ)bHk=l,b=-2,.,.y=x—2,_Z2,0[ஹZ4,-2[`ᐭ)bHk=-l,b=2,.,.y=-x+2,ACḄ)᪆+Hy=x—2ᡈy=-x+2Z2[•.•PḄᙶ᪗Z3,-4[,QḄᙶ᪗Z6,-2[,\PஹQḄ“ᐵ”MPNQ,ᑣMZ3,-2[,NZ6,-4[,g4ᦪy=2Ḅ9:hMi$k=-6,Xg4ᦪy='Ḅ9:hNi$k=-24,X34ᦪy=2Ḅ9:;PஹQḄ“ᐵ”ᨵ=>?ᐳ$ᑣ-24

29ὃHᳮmḄឋᚖᳮᙊqஹஹḄᐵ]ᙊᕜqᳮ;;ᙊḄ~ᐵ])qqOᫀH)᪆)᪆HZ1[AB஺஺Ḅᑗ$ᳮᵫ᝞HyA0B,VOE=OB,$ZOEB=ZOBE,•••ABCDm$ACஹBDᐸpq$/.ZABD=ZCBD,VCE=BE,0E஺஺Ḅ$/.OE±BC,AZBFE=90°,AZ0EB+ZCBE=90°,/.ZABD+Z0BE=90o,/.OB±AB,ᓽAB஺஺Ḅᑗ\Z2[•.•ABCDm$ACஹBDᐸpq$BD=¨⍩,/.BM=-BD=—,AC±BD,

30VtanZCBD=i,225Z.BC=VBM2+CM2=8,VCE=BE,OE஺஺Ḅ$.•.BF=%BC=4,2VtanZCBD=i,OE1BC,2/.EF=-BF=2,2\஺஺Ḅr,ᑣOFḄr—2,ᙠRtAOFBo,OF2+6^=OB2,ᓽZr—2[2+42=r2,)bHr=5,...஺0Ḅ5.25.Z14ᑖ[᝞9$±ᱥy=-x'+bx+c;x´rsZ-3,0[ஹBZ1,0[=$;y´rsC,pµ´1;x´rsF,m஻AC,EAC#'±ᱥ#¸¹$hEºEH±m,ᚖ¼H,rACsG,yAAEஹEC,CH,AH.Z1[±ᱥḄ)᪆+;Z2[gAHCE☢¿ᨬᜧi$(EḄᙶ᪗Z3[ᙠZ2[ḄᩩÃ$yAEF,ᙠ±ᱥ#ᔲÅᙠQ,3bÆFஹEஹPஹQ⚔$ÆEF¸ḄÈÉÅᙠ$ÊAᑏCQḄᙶ᪗ËÅᙠ$ᳮᵫ.

31ὃHÌÍ4ᦪLᔠ⚪OᫀH)᪆)᪆HH(1)..•y=-x:2+bx+c;x´rs(-3,0)ஹB(1,0),.—9—3b+c=0—1+b+c=0$b=-2)bஹc=3±ᱥḄ)᪆+y=-x2-2x+3.ᦑOᫀHy=-x2-2x+3.(2)᝞91o$yA0E.\E(m,-m2-2m+3).91VA(-3,0),C(0,3),/.0A=0C=3,AC=3V2,•AC஻m,

32AAACHḄ☢¿F,•SAECH=SAEC+SAACI1...g4AECḄ☢¿ᨬᜧi$AECHḄ☢¿ᨬᜧ$•S/sAEC=S^AEO+SECO-S&\OC=-X3X(-m2-2m+3)+X3X(-m)¸X3X3222(m+-)2+-,228V--<0,2i$ÏAECḄ☢¿ᨬᜧ$AE-).24(3)Åᙠ.᝞92o$ÐQᙠ±ᱥ#EFÈÉḄ$ÑÒ9:Ó-$Ô¼ᩩÃḄQḄÕᙶ᪗Ö×$4ps±ᱥyu-x,—2x+3,gy=£i$-x2—2x+3=—,)bx=-'(ÚÛ)ᡈ4421-2gy=-fi,-X2-2X+3=--,)b*=̱ᓋ44215ஹ6,-2+^3115ஹ.-.Q--ßZ-I-$-—•2424L#ᡠâ$Ô¼ᩩÃḄQᙶ᪗(-,¨)ᡈ(ã$ᐲ)ᡈ(å$ᐲ).242424

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34ὃOPQCᣚSᔠ⚪UᫀW1Y±60°ߟ,45°,—,W2Y,30°222m22d᪆W1Y᝞1,fgAE,PF,lmEFஹAPn?OQ,pa=60°^ABC$aPDCvwxyz{|.,.ZPCD=ZACB=60°,PC=CD,AC=CB,OFஹEᑖ(wCDஹBCḄO,•CF_1CE_1*"PC~2,AC-2’.CF_CE,,-7F',:ZACP=ZECF,/.ACP^AECF,ZCEF=ZCAP,AP2AZQ=p=ZACB=60°,pa=90°AABC$APDCvwxῪ{z{|,.,.ZPCD=ZACB=45°,PC=CD,AC=CB,•••FஹEᑖ(wCDஹBCḄO.CE1CF1AC'PC

35.CE_CF-TF'XVZACP=ZECF,.,.ACP^AECF,=^=—,ZCEF=ZCAP,APV22NQ=0=NACB=45°,nᵫ89"=*=z=40=/ACB="7APACm2m2(2)pa=120°,fgAE,PF,lmEFஹAPn?OQ,VAB=AC,E)BCḄO,AAEIBC,/CAE=60°3ᳮ@*=.CE_CF••,ACCP.CE_CA<*"cF--cF,1/ECF=NACP,/.PCA^AFCE,.EFECV3//PADZCEF=ZCAP,APAC2.NQ=B=NACB=300.