贵州省遵义市中考数学考前冲刺卷

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2021
ḕ⍳ὃᦪὃᔁ.⌱⚪ᐳ12⚪ᑖ48ᑖ1.4ᑖ|x|=5,[y]=2xVO,y>0Uᵪ7=A.7B.-7C.3D.-3!V|x|=5,6=2,Ax—i5,y—i2,Vx<0,y>0,Ax=-5,y=2,-3.ᦑ⌱!D.2.4ᑖ20206ᨴ23$ᓅᧅ'(ᨬ*⚩ᐰᳫ./012340156756ᓣ96ᨴ30$ᡂ;<=>?@ᙢᳫ36000BCḄᙢᳫEFG⍝.I36000ᵨKLᦪM⊤OPQA.0.36X105B.3.6X105C.3.6X104D.36X103!36000=3.6X1
4,ᦑ⌱!C.3.4ᑖ᝞SAB஻DE,N8=130°,/஺=35°,ᑣNCḄYᦪQA.80°B.85°C.90°D.95°!Z஺[■:AB஻DE,:•AB//CM"DE,


N1+N8=18O°,N2=NO=35°,VZ5=130°,AZ1=50°,


N8C£>=N1+N2=85\1⚓ᐳ20⚓

1ᦑ⌱:B.B4.4ᑖ᝞Sᜧ`abc`abḄ☢efgh60,ᑣ▢jkᑖḄ☢eh!lᜧ`abmnQX,`abmnQy,ᑣ▢jkᑖḄ☢eh!^AE'BC+^AE'DB,11=2x-y*x4-2x-y1=2%-»=1/᮱1,p=2x60,=30.ᦑ⌱!A.5.4ᑖq᪥7stᙠqvwxyzᓫ|!࠷~ᑮ᝞ᦪ!36.3,36.4,36.5,36.7,36.6,36.5,36.5,.ᦪ`ḄhA.ᦪh36.5B.|ᦪh36.7C.ᙳᦪh36.6D.agh0.4!7ᦪ36.5'vvᦪᨬᓽᦪQ36.5,ᦑ/⌱⚗`ᔠ⚪I7ᦪᢥ2ᑮᜧḄ᣸ᑡQ!36.3,36.4,36.5,36.5,36.5,36.6,36.7,\4ᦪQ36.5,ᓽ|ᦪQ36.5,ᦑ8⌱⚗┯ᔠ⚪1x=yx36.3+36.4+36.5+36.5+36.5+36.6+36.7
=36.5,ᦑC⌱⚗┯ᔠ⚪\2⚓ᐳ20⚓

2S2=1[(36.3-36.5)2+(36.4-36.5)2+3X(36.5-36.5)2+(36.6-36.5)2+(36.7-36.5)4=ᦑ஺⌱⚗┯ᔠ⚪ᦑ⌱!A.6.(4ᑖ)a,஺ha-2¡-3=0Ḅ£¤ᦪ᪷ᑣ஺2+¦+⎅Ḅ©Q()A.10B.9C.7D.5!᪷⚪a+0=2,ap=-3,ᡠ¬0^+¦+010=(a+p)2-ap=2?-(-3)=7.ᦑ⌱!C.7.(4ᑖ)᝞SᙠnQ62ஹ¯Q42Ḅ°b₝ᙢ²³E᪵¯Ḅµ¶kᑖ·¸₝¹.⌕»₝¹Ḅ☢eQ2400al⍝µḄ¯Qxᑣ¼ᑡaQ()A.(62-x)(42-x)=2400B.(62-x)(42-x)+/=2400C.62X42-62x-42x=2400D.62x+42x=2400!l⍝µḄ¯Qx᪷⚪(62-x)(42-x)=2400.ᦑ⌱!A.8.(4ᑖ)½¾¿ÀᢙÂÃÄÅÆBÇÈÉÊËᏝÍÎÂÏÃÄÐÑÒ▾ÒtÔÕÖḄ×〈Ù[ᜩÊËᏝÛÜBᐳÝÞ2ÞßàáâãÜä*àåᒴâãÜ.Zä~ÄÝÞᑮç×〈=ÒtÕÖè²Þ*ÝÞàåáâä~Ä*éàåᒴâãÜᑡSb¼¬êëᙢìíÝÞᙠä~ÄᑁḄâYïᓄÏñḄh\3⚓ᐳ20⚓

33
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DC71071034A.——B.——CgD.g45!ü×Ç4c>=஺\'AB=CD=AD=5fCD=CE=5,VJC=8,.AE=3,OC=4,OE=1,ᙠRtZSCDOᵫþÿᳮ00=3,ᙠRtZXOOEᵫᳮDE=V10,
_ᒹ

~ᦑ⌱:B.DCA!4⚓ᐳ20⚓

4Q10.4ᑖ%᝞'ᙠ(4BCN4=90°,sinB=஺ᙠ)AB4
=4஺ᑣAC2VZJ=90°,sin8=^=S
•
,Ꮇ.4c=3/BC=5k,ᑣ45=40,**AC=AD=3k,:BD=k,VZ5=Z5,ZDHB=ZA=90°,:•BHDS^BAC,.BDDHBH•
1=3=4’KDHBH
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.DH=|i,BH=gk,'
CH=BC-BH=5k-9=9t,DH_:_1tanN8CQ=CH=^=7'ᦑ⌱c.11.;4ᑖ%᝞'<=>?ᦪy=[x>0
Ḅ'BᑖCDEFOZ8CḄ)8cGHIஹD,E,D08HIJ,KLMজ(O/஺D(OCEḄ☢PQ2,ᑣ/=2!5⚓ᐳ20⚓

5ঝ8ᙶ᪗4,2
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,
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'
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"=6,!6⚓ᐳ20⚓

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st;ᒹuv%ᑣKᑡLMজa+6+c>0ঝIxyzᦪ{a+b^atv^+btn|ᡂ~ZঞᐵIxḄ442+,+0=஻ᨵGhḄzᦪ᪷Zট-lWaW—|,ᐸLMdeᦪ;%A.1B.2C.3D.4_ᵫ'Bx=ly>0,a+b+c>0,ᡠ,জdeZ•
•mᱥḄ⚔ᙶ᪗1,஻%


x=l?ᦪᨵᨬᜧ஻a+b+c2an^+bm+c,ᓽa+b2am2+bm,ᡠ,ঝdeZ•
•mᱥḄ⚔ᙶ᪗1,஻%
••mᱥஹ={+᱐+஺DᨵHᐵIRḄ4+,+஺=஻ᨵGhḄzᦪ᪷ᡠ,ঞdeZ..•mᱥyuaf+bx+cDxpHIq;-1,0
,!7⚓ᐳ20⚓

7a-+c=0,■:b=-2a,••a+2a+c=0,:c=-3a,Y2-2W-33,...-1<«<-j,ᡠ,টdeZᦑ⌱D..¢£⚪;ᐳ4¥⚪¦ᑖ16ᑖ§¥⚪4ᑖ%13.;4ᑖ%©ªஹ஻-3%2—|V^|=1._¯°=3-2=1.ᦑ±ᫀ1.14.;4ᑖ%᝞'y=Ax-6Dy=4x+2GHI/;-1,-2%.ᑣ·h°4x+2

8_᝞'ᡠºᔆᙠ,EᙊÌÍ1ÎÏḄᙊÐÑ*EஹFஹ஺ᐳÒCFḄᨬ¥:EF1PF,EB=EF,•

£\28)Ḅ-3=10,:.AE=EF=5,•4D=BC=12,
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.CF=CE-EF=13-5=S.ᦑ±ᫀ8.16.4ᑖ%᝞'(ZBC\ᙊ஺ḄᑁÔF04ஹOC,NAOC=NABC,ÕZCB_Ö×ᡠÖḄᙊᕜNNPC,ÙOÖ஺I“᝞',VZP=^ZAOC,NP+/4BC=180஺,1
.-ZAOC+ZABC=\SO0,2ZAOC=/ABC,1
.-ZAOC+ZAOC=\SO0,_¼NZOC=120°,9
OA=OC,!9⚓ᐳ20⚓

91ஹ.ZOAC=ZOCA=^(180°-120°)=30°,OHVAC,:.AH=CH=^AC=1x6b=3ßᙠRtA4OHOH=à”=âx3g=3,.•.04=20/7=6,ᓽᙊ஺ḄÎÏ6.ᦑ±ᫀ6.Ô._±⚪(ᐳ8¥⚪¦ᑖ86ᑖ)17.(8ᑖ)©ª(1)(-J)-2+(n-3)°+|l-V2|+tan450x2x(2)——=----+1%+13x4-3_(1)¯°=4+1+&-1+1=5+V2Z(2)ëᑖì¼3x=2x+3x+3,_¼x=-íîïx=—|\ᑖ°4Ḅ_.18.(8ᑖ)ᐜᓄò(’7——7)óô-3ஹ-2^-1>0>1⌱ᔠ〉Ḅa-la+1az-lᦪÖ஺Ḅùᐭû._¯°=£=◤ýþᚆ
(Q+1)(Q—1)G(Q+3)10⚓ᐳ20⚓

10_2+6Q+9-GQ+3
a+32—QQ+3
_a+3-a'஻=-3,-1,0,1ᨵa=-2=᤬19.10ᑖ$ᦪ&ᐶ()*+,-).Ḅ01ᙠ).⚔4ᨵ015206Ḅ78ᛞN8,᝞=ᡠ?.ᙠ.@Aᙢ4Ḅ஺ᜐ+EᛞF8ḄGH530°,ᔣ).KL806ᑮ34Eᜐ,+Eᛞ⚔NḄGH560°,P).8CḄ01.ᵫᩩTUVNDBC=NAEC=60°,Z)E=806.ᙠYHZD8C\tan60°=8=9,ᑣ஺C=Kx6.:.CE=(V3x-80)6.ᙠYHZ/CE\tan60°=e==V3.fEx=10+40g.::).8cḄ015(10+40V3)6.20.10ᑖjUV᝞=ᡠ?k஺஺ḄYl8k஺஺4eNP<ᑖNBNM?஺0@P,mPop_L8Nr411⚓ᐳ20⚓

11(1)PAᑗ(2)MN=20,BN=12,MPḄ(3)஺ON஺COLON/C,CD=19,tan/MNP=J,OOḄ.1YNP/BNM,.NMNP=4BNP,*OP=ON,
/OPN=/ONP,:•4OPN=4BNP,.OP//AN,'CPALAN,.PALOP,
•
OOᑗ(2)᝞2,!"8M஺#E,12⚓ᐳ20⚓

12=2VMNkYl,
.OP±BM,
.ME=BE,■:MN=20,BN=12,:.MB=VM/V2-BN2=16,:.ME=BE=8,'
OE=70M2-ME2=V102-82=6,.*.PE=10-6=4,:.MP=VME2+PE2=V82+42=4V5.(3)fV᝞=3,st஺C,ACDBNPḄ?4DF,=3VtanZWP=/b஺N=90°,uDF=3x,DN=Ax,
.CF=19-3x,OP=ON=8x,VZDNF+ZNFD=ZOPN+ZFPC=W°,vwZDNF=NFPC,
.ZNFD=ZFPC,•y/DFN=/PFC,:/FPC=/PFC,13⚓ᐳ20⚓

13.PC=FC=\9-3x,'OP^+PC1=oc2=OD2+DC2,:.(8x)2+(19-3x)2=(4x)2+192,fEx=2,.0P=16.21.(12ᑖ)$᪥5||fᐰ᪥&~4&⌱᪥ᑖ&~&~&ᜩ&(ᒹ4ᡂo).᝞=k᪷ᑴḄ=⊤.¡¢᪷=⊤\Ḅ£¤ᡂ¥ᑡ§⚪V⚣ᦪᑖª⊤&ᑖ*⚣ᦪ⚣᳛A*0

14/.«=60-9-18-18-3=12,(2)᪷⚪ÕUV1000X(0.15+0.3)=450(»஺×VÃᐰ᪥◤⌕Á⏨Ḅ&~ᨵ450»V(3)u2»ᵱ~ᵨ48⊤?1»᝕~ᵨC⊤?,᪷⚪ØÙ᪛Ð=᝞¥V/\/\/\)BCACAB᪷᪛Ð=ÕUVÚÕÛḄᐳᨵ6ÜÝᔠᩩTḄᨵ4Üᡠpᡠ⌱2»&~ា5ᵱ~᝕~Ḅᭆ᳛5V7=1.22.(12ᑖ)$àáᓬÙᵬäåà10æçèäåà12æéḄ├ëì53.18íᐗVᓬÙᵬäåà6æçèäåà9æéḄ├ëì52.16íᐗ.(1)¡§ᵬäåàçèäåàæëï5ÅÆᐗÇ(2)ºᵬäåàæLï51000ᐗèäåàæLï5800ᐗ⚜ᵨñÅr1.84íᐗòñÆr1.76íᐗḄóôõLö÷Üàᐳ20桧ᨵøÜLùµᫀǺᡠᨵõLḄàûÕpëÙ¡PÙᡠᨵµᫀ\Ḅᨬᜧᑭÿ.
(1)ᵬᑖaᐗஹ6ᐗ110a+126=3.18(6a+9b=2.16'
%,'(,)15⚓ᐳ20⚓

15,ᵬᑖ0.15ᐗஹ0.14ᐗ/(2)01ᵬ2Ḅxᑣ02Ḅ(20-x)ᑭ8yᐗ•.•ᵨ<=>1.84ᐗ?<@>1.76ᐗḄBC01DE2ᐳ20.(lOOOx+800(20-x)<18400,'(1000x+800(20-%)>17600,
%8WxW12,᦮ᦪ/.x=8,9,10,11,12,ᓽᐳᨵP21QRᫀy=(1500-1000)x+(1400-800)X(20-x)=-100x+12000,■:k=-100,.•.yUxḄVᜧXYZ.•.[x=8\y]%ᨬᜧ_,`\y=11200,,ᨵP21QRᫀᡠᨵRᫀbḄᨬᜧᑭ8c11200ᐗ.23.(12ᑖ)᝞eᙠgRh/BCDbmnoNCஹ8஺rs>t஺EDOCGH4(

16(Z.AOH=4BOEᙠ40"8OEb஺4=OB,l^OAH=4OBE:.AOHmBOE(ASA)N(2)
,:NAOH=NBGH=90°,NAHO=/BHG,A0Hs/\BGH,•_O_H_A_H•
—GHBH.OHGH••—PAHBH•/OHG=NAHB,:•OHGsAHBஹ.ZAGO=ZABO=45°(3)
VZABC=90°,AFLBE,.ZBAG+ZAFB=ZFBG+ZAFB=90°,:.NBAG=/FBG,■:/\0HGS4AHB,.ZGOH=ZBAHf:./GOB=/CBG,VZAGO=45°,ZOGC=90°,.ZBGO=ZCGB=\35°,:•BGOs^cGB,•_O_G_B_G••—,BGCG:.Bf=0G,CG=6,FOGC=^OG'CG=1X6=3.24.(14ᑖ)᝞et/ᙠxgt8ᙠyg04=08,tCḄᙶ᪗(-1,0),OA-.OC=31,ᱥoy=ax2+bx+ctABஹC,⚔tD(1)~aஹbஹcḄ_/(2)o᜛=3+஻uxs>tE,uys>t.জ[஻=-1\NBAF-ABADḄ_/ঝoEFᨵt“N/஻C=90°,~஻Ḅ]_.)17⚓ᐳ20⚓

17
(1)•
•t஺Ḅᙶ᪗(-1,0),OAOC=31,.A((3,0),•OA=OB,.B(0,3),4ஹBஹCt¡ᐭ£¤¥ᦪḄ
᪆§%'9Q+3b+c=0c=3,஺©b+c=0a=-1
%,b=2/.OF=\,ᵫ(1)«ᱥoḄ
᪆§y=-1+2x+3=-(x-1)2+4,.D(1,4),,A(3,0),B(0,3),.OA=3,AB=3a,BD=V2,AD=2y[S,)18⚓ᐳ20⚓

18:.BD2+AB2^AD2,
.ZABD^ZAOF^90°,OF1y/2OA3V2:X=^=T'^=^=-OFOA•.=,BDBA:./XOAFSABAD,NOAF=NBAD,9
OA=OB=3,ZAOB=90°,
.ZOAB=45°,:./BAF-NBAD=NOAB+/OAF-/BAD=45°/ঝo"'ᨵt"N47C=90°,ᑣ¯°஺±ḄᙊOGuoEᨵ³ᐳt,᝞e[oEᙠx´RuOGrᑗ\;ᑣEGKs/XEFO,••__OFEFU
A(3,0),C(-1,0),1
.GK=^AC=2G(1,0),f:ouxs>tE,uys>tF.
.E(-3”0),F(0,-M),n<0,
.OF=-n,EF=-y/lOn,.2—3n-l——n—/10n
%஻=©ᔩ+1;᝞e[oEFᙠx´Ru0Grᑗ\ᑣAEGKsAEFO,)19⚓ᐳ20⚓

19.GK=^AC=2,G(1,0),,oy=ᐰ¹஻uxs>tE,uys>tF..E(-3஻0),F(0,஻)n<0,OF=n,EF=V10/7,2_l+3nnV10n½¾¿2஻0-1
%H=-------/oEFᨵt4C=90°,ᑣ஻Ḅ]_©2ᔳ+1Á©L)20⚓ᐳ20⚓