【中考数学】2022-2023学年辽宁省大连市专项突破仿真模拟试卷（一模二模）含解析

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2+I152,-2<0,.•..x=560wJK1152,.ᓫ56ᐗ0ᦻᜩᡠ23Ḅᑭ5ᑭ51152ᐗ.Lஹ7N⚪O⚪Pᑖ12ᑖ25.12ᑖ2021•RS᝞UᙠA/i5c[AB=AC,=a0஺

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401241⚓/670⚓

41ூ
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42C.(-3a)2=6a2D.2ab2+3ab2=5a2b46.:3ᑖM:2021•ᜧMY᪥Ꮙᐳᨵ10mᕒᕒḄa᝞133145152.`ᏉᕒḄᙳa:MA.14.2B.14.1C.13.9D.13.77.:3ᑖM:2021•ᜧMᑡKLḄU:MA.:-V3M2=-3B.=26C.0=1D.:/2+1M:72-1M=38.:3ᑖM:2021•ᜧM“ᩖ᱄”⊱◖£¤Ḅ¥¦§¨©Ḅ“ª”ᙠY«¬ᵪḄ®¯⌲a±²2018aᙳ³®¯l500´µ2020aᙳ³®¯l800´µ.}ᙳ³®¯Ḅaᙳ¶·᳛x,᪷º⚪»¼ᑡ½¾:MA.500:1+xM=800B.500:1+2xM=800C.500(1+x2)=800D.500(1+x)2=8009.:3ᑖM:2021•ᜧM᝞ᙠAJ8CHN4cB=90°,NBAC=a,À&4BCÁCÂÃ┐ÅÆ90஺ÇᑮÉ4'8'C,BḄË᜜ᙠÍ4C,:ÎÏZ,CÑᔠMᑣW*Ḅᦪ:MBA.aB.a-45°C.45°-aD.900-a10.:3ᑖM:2021•ᜧMᑡÔLḄU:MজSÖ×Øᦪy=4HÚÛ¯xḄÜÝßUx*0àXঝâ:-3,2MᙠSÖ×Øᦪy=Ḅã,àXঞSÖ×Øᦪy=3Ḅãᙠ@7>ã▲ᑁyçxḄ¶ᜧè¶ᜧ.XA.জঝB.জঞC.ঝঞD.জঝঞ0ஹéê⚪:;⚪ᐳ6?⚪@?⚪3ᑖᐳ18ᑖM243⚓/670⚓

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45᫜Q4LF᫜ᐳ◤600ᐗJK6Lᜧ᫜Q8LF᫜ᐳ◤1560ᐗ.Z1,[ᜧஹFGH᫜Ḅᓫ]Z2,᪥JK8Lᜧ᫜Q24LF᫜ᐳ◤_`ᐗabஹcd⚪Z⚪ᐳ3F⚪ᐸ21⚪9ᑖ22ஹ23⚪ᔜ10ᑖᐳ29ᑖ.21.Z9ᑖ,Z2021•ᜧ+,᝞.ijᱥ8C7ᨵ3mᩚ,pq8cst20uḄ஺ᜐxymᩚ⚔{/Ḅ|}57஺xymᩚ{8Ḅ|}50஺[mᩚ48ḄZ᦮ᦪ,.Zὃᦪ:sin50°«0.766,cos50°«0.643,tan500®1.192sin57°«0.839,cos57°«0.545,tan57°»1.540,22.Z10ᑖ,Z2021•ᜧ+,᝞.1,ᑁ0஺56MVq0஺sᑗ/஺ODBCs/E,BC//MN.Z1,[89ZBAC=ZDOC.Z2,᝞.2,4c஺஺Ḅ5E஺஺Ḅ/0஺Ḅ4,[/EḄ.23.Z10ᑖ,Z2021•ᜧ+,:ᵯᖪ:Hᖪ3¡¢£¤ᖪ¥ᜩḄ§NZᓫ©9ᓟ«,Q¥ᓟ«Ḅ¬]xZᓫ©9ᐗ,®¯°ᦪᐵ²Z᝞.ᡠ´,ᐸ5Q,x,80.Z1,[yᐵxḄ°ᦪc᪆¸Z2,HᖪḄᡂ¥ᓟ«40ᐗᵯᖪ᝞¹º]»¼½¥ᜩ¾¿ḄᑭÁaᑭÁ_`aM46⚓/P70⚓

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48ூ
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2021•ᜧ
”ᩖ¦§¨©᱄”⊱◖'Ḅ®¯°±²Ḅ“³§¨”ᙠ´µᵪḄ·¸⌲1º»#20181ᙳ¼·¸=500½¾#20201ᙳ¼·¸=800½¾.o¿ᙳ¼·¸Ḅ1ᙳÀÁ᳛Ix,᪷S⚪#Ãᑡ^ÄI
A.5001+x
=800B.5001+2x
=800C.5001+x2
=800D.5001+x
2=800§¨¼·¸Ḅ1ᙳÀÁ᳛IX,᪷S⚪Å5001+x92=800,ᦑ⌱D.9.3ᑖ
2021•ᜧ
᝞#ᙠA48Ca#Æ4c8=90஺#ABAC=a,V&48cÉÊCËÌ┐ÎÏ90஺ÅᑮÑ48C,Ê8ḄÒÓÊ*ᙠÕ/CÖ×Ê/,CØᔠ
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s51⚓/w70⚓

51A.aB.a-45°C.45°-aD.90°-a•••V\ABCÉÊCËÌ┐ÎÏ90°ÅᑮÑA'B'C,:.AC=A'C,NB4C=NC4'B',ZACA'=90°,.•.A4C4ÜῪÞßàß&#ZCA'A=45°,,/Z.BAC=a,Z.CAB'=a,ZAA'B'=45°-a.ᦑ⌱C.10.3ᑖ
2021•ᜧ
yᑡáḄ
জãäåᦪy=-açè¸xḄéê-xᱏ0XঝÊP-3,2
ᙠãäåᦪy=-9ḄïÖXঞãäåᦪy=3Ḅï#ᙠñWXï▲ᑁ#yôxḄÀᜧõÀᜧ.XA.জঝB.জঞC.ঝঞD.জঝঞজãäåᦪ᜛=4açè¸XḄéê-XX0,ᦑáXঝᵫø-3x2=-6,ᦑáঞᵫøù=3>0,ãäåᦪú=ûḄï#ᙠñWXï▲ᑁ#yôxḄÀᜧõü[#ᦑáG┯xþᦑ⌱A.ÿஹ
⚪⚪ᐳ6⚪⚪3ᑖᐳ18ᑖ11.3ᑖ2021•ᜧ3x

5212.3ᑖ2021•ᜧᙠ8☢:;ᙶ᪗,>?@A-2,3ᔣC8$4EᓫGHI&ᑮ@Kᑣ@஻Ḅᙶ᪗__2,3_."@A-2,3ᔣC8$4EᓫGHIN&ᑮ@PḄᙶ᪗P-2+4,3,ᓽ2,3,ᦑ2,3.13.3ᑖ2021•ᜧRESTḄUV>ᨵXEYᐰ[\Ḅᳫ^_`ᑖa᪗bP1,2.cd᥎fREᳫNgh)᤯ᒴkcd᥎fREᳫXlfmḄᳫ᪗bḄno4Ḅᭆ᳛P_?R"s᪛uv᝞v"1212n2334ᐳᨵ4xyzḄ{|XlfmḄᳫ᪗bḄno4Ḅ{|ᨵ1x.•.XlfmḄᳫ᪗bḄno4Ḅᭆ᳛P4ᦑ’.414.3ᑖ2021•ᜧᡃ℉ᑤ>R✌"“᪍ᱣ᝞ᦪ.ᓝា¢£.”ᐸᜧ¦"“ᱣ`ᙠ᪛§Ḽ©ᐶᙢ¬ᨵ®n.614¯8ា°ᵨY.”²³ᨵᱣx᪷µ⚪¦yᑡ·¸P_6x+14=8x_."³ᨵᱣxº⚪¦&"6x+14=8x.ᦑ6x+14=8x.15.3ᑖ2021•ᜧ᝞vᙠ»¼45co>NBAD=60஺SEᙠlBC,?A48EÁ:Â/EÃᢚ180஺&ᑮÆ/9E,@8ḄÈÉ@@:ABBD,BE=2,ᑣḄH_2Ê153⚓/570⚓

53D"•.•»¼/BCO,AB=AD,AD!IBC,•HABAD=60°,4BC=120°,•M•AB'1BD,ZBAB'=-ZBAD=30°,2•.•?&43EÁ:Â/EÃᢚ180஺&ᑮÆÏBE=B'E,AB=AB',NZBB'=gx(180°-30°)=75°,ZEBB'=/LABE-4B8'=120°-75°=45°,NEB'B=NEBB'=45஺,ZBEB'=90°,ᙠRtABEB'>,ᵫÙÚÛᳮ&"55,=7F+2r=2V2,ᦑ2Ê.16.(3ᑖ)(2021•ᜧ)᝞vᙠà·¼/8CD>/8=2,@Eᙠâ8cã@AᙠâÏ஺ḄäåÂãAF=EF,³=AF=Hy,æ0

54D"ï@FFMJ.4E,ᚖ£PM,AF=EF,AM=ME,ᙠRtAABE>AE=yjAB'+BE-="+/,V4+x2AM=----------,2•/NB=NAMF=90°,/FAM=ZAEB,\ABEskFMA,AEBE---=----AFAMxᓽñzy24+x2xy=244-Y2ᓽ>ó(017ஹ19ஹ20⚪ᔜ9ᑖ18⚪12ᑖᐳ39ᑖ155⚓/570⚓

55஻+3a2+3a317.9ᑖ2021•ᜧ÷:஺-3/+6஺+9"ùóᚪ.ûü3a-3a3a-3a-3a-3a^3=1.18.12ᑖ2021•ᜧý᪥÷ᑜ
“⁐”⚪Ḅᑡᑖᖛஹᨽஹ᰿!"ᦻ$%&'()⌕+,-ᐜ/012345⌱78⚗.;<ᐜ/12Ḅ=>?@⌱ABC᪥Eᑖᐜ/FGHIJK᪷MHINOPᑴḄRST1UHIḄᐜ/V12ᖛḄᐜ/Wᦪ10W,12᰿!"ᦻḄᐜ/WᦪᓰUHIᐜ/\WᦪḄᑖ]8%_2`aHIḄ᪵`cd8᪵`V12%&'()Ḅᐜ/Wᦪ8W_3eB᪥ᐳᨵ800-ᐜ/h᪷MHINOiS12ᨽḄᐜ/Wᦪ.

56/WᦪᓰUHIᐜ/\WᦪḄᑖ]40%,ᦑ10,40_z2|UHIḄᐜ/\ᦪ10+0.2=50
W|,50x0.1=5
W|ᦑ50,5_z3|᪵`V12᰿!"ᦻḄᐜ/Wᦪj50x40%=20
W|᪵`V12ᨽḄᐜ/Wᦪj50-10-20-5=15
W|800X—=240
W|,50jiS12ᨽḄᐜ/Wᦪ240W.19.z9ᑖ|z2021•ᜧ|᝞T4,D,B,Eᙠ8ᩩAD=BE,AC=DF,ACUDF.~jBC=EF.j;AD=BE,AD+BD=BE+BD,ᓽAB=DE,•HAC//DF,AA=AEDF,ᙠMBCsADEFVAB=DE

57:.\ABC=\DEF8SAS},H.BC=EF.20.z9ᑖ|z2021•ᜧ|᪥ᡂᑖᢗ⚜ᜓᙠ᪥ᑁ᤮ᜧஹ¢£¤᫜.¦§2¨ᜧ᫜©4¨¢᫜ᐳ◤600ᐗ_¦§6¨ᜧ᫜©8¨¢᫜ᐳ◤1560ᐗ.z1|+ᜧஹ¢£¤᫜Ḅᓫ®jz2|B᪥¦§8¨ᜧ᫜©24¨¢᫜ᐳ◤¯°ᐗ±C=—,CDBC=CDtanNBDC=20xtan50°»20x1.192=23.84(”஺s58⚓/\70⚓

58ATᙠRtAACD4'>tanNADC=—CDAC=CD-tanZADC=20xtan57°a20x1.540=30.8(@)AB=AC-BC=30.8-23.84«7(w).jÀᩚ/BḄÐÑé72.22.(10ᑖ)(2021•ᜧ)᝞T1,AABCᑁêë஺஺MVÄ0஺ÅᑗëD,ODBCÅíëE,BC//MN.(1)+j4BAC=4D0C.(2)᝞T2,e4CK0஺ḄîEK஺஺ḄV஺஺Ḅïî4,+AE■Ḅñ.8182(1)jê08,᝞T1,:Ä஺஺Åᑗë஺OD1MN,••BC//MN,OD1BC,BD=CD,4B0D=/.COD,•rZBAC=-ZBOC,2/.NBAC=NCOD_(2).EK஺஺ḄV/.OE=DE=2,ᙠRtAOCEVCETOC?-OE?-2?=2",•/OEIBCfs59⚓/\70⚓

59BE=CE=20•.,zcK஺஺Ḅî,ZABC=90°,AB=>JAC2-BC2=ó-(4ô=4,ᙠRtAABEVAE=+BE2=+(2ᔍ=2#.23.z10ᑖ|z2021•ᜧ|ᵯᖪ¤ᖪø8ùúûôüýBᖪø,ᜩḄdyzᓫÿᓟᓟḄxᓫᐗᦪᐵ᝞ᡠᐸ5Q.x.80.1"yᐵ$xḄᦪ%᪆'(2*+,ᖪ.Ḅᡂ01ᓟ40ᐗ+ᵯᖪ᝞45678ᜩ:;Ḅᑭ=>ᑭ=?@A>504+6=100B(50,100)ஹ(80,40)Gᐭ,;:80k+6=40k=-2%;:6=200:.y=-2x+200(50.,x,80)(N60⚓/Q70⚓

60(2)Sᵯᖪᜩ:;Ḅᑭ=1wᐗ,ᑣw=(x-40)(-2x+200)=-2X2+280X-8000=-2x-702+1800,V-2<0,Z[\]?^_x=70,`•.•5Q.b80,.•.cx=70dwe;f11800,g+ᵯᖪ170ᐗd:;ᑭ=ᑭ=?1800ᐗ.hஹ%g⚪24ஹ25j⚪11ᑖ26j⚪12ᑖᐳ34ᑖ24.11ᑖ2021•ᜧn᝞opq/BCD1uqAB=3,BC=4,Pஹ°ᙳxyBz{,y|}2~ᓫḄA4-ZCḄᔣy஺}1~ᓫḄBC-COSPḄ1.1"ZCḄ(2*%᝞=S,"Sᐵ$/Ḅ%᪆'.%1•.•opq8CO1uq,ZS=90°,ᙠRtAABCᵫ5ᳮ;AC=>lAB-+BC1=A/32+42=5,.•.4CḄ15(2c001.5d,᝞N61⚓/Q70⚓

61DS[X2PX80=JX2IXI=/Jc1.5<44d᝞P_LBC$,.CP=8-2f,ABPHsinZ.BCA~AC~~PC.3_PH**5-8-2/6/PH=T஺1ncnrr1,246A3/12;,S=-xBQxPH=-xtx(---------)=----+——(225555/2(0

62(3)AF=kDF,NEDF+NMDF=180஺S"½.MF»¼•஽DBF+/ABF=NABD,/ABD=NAEF,/DBF+/ABF=Z.AEF,••ZAEF=Z.BAE+Z.ABF,NBAE+Z.ABF=/DBF+4ABF,...NBAE=NDBF.(2)»¼᝞2,n¾஺¿8F$yG,.AB=BD,AE=EF,ABBD---=---,AEEF••/ABD=Z.AEF,AABDSMEF,H.ZBDG=/AFB,ZBGD=ZAGF,\BGD^\AGF,BGDG,À½ᐗ‘BG_AG…~DG~~FGf•/AGB=ZFGD,/.\AGBsbFGD,/BAD=ABFD,•ZBAD=/BDG=ZAFB,N63⚓/Q70⚓

63...ABFD=ZAFB.(3)᝞3,y஺ᐵ$^_8|Ḅ[\yn¾M஺ஹDD,

64ADC1_££,226.(12ᑖ)(2021•ᜧn)°±ᦪy+~x+m(x0d^_x=L஻?´x]¿$y|´ᦪG¿$y0,*/|஺0=45஺d"2mḄf((3)c},3dSÉ´x]¿$y´y]¿$y8,Ôy8BC1B/¿^_x=m$yC,Sy4ḄÖᙶ᪗1a,CyḄÚᙶ᪗1c,*a=-3c,"ÊḄf.%(1)cÊ=2d|V9+$+2(X<2),x2-2x+2(x.2)জᙠ+ᦪɪN65⚓/Q70⚓

65H=42—2x4+2=10(ঝc0.x<2dy=--x2+-x+2=--(x--)2+2-,22228v--<0,2.•.cx=dyᨵf?2^,28cx=2dy=22-2x2+2=2,v2<2-,8.•.cQ,X,2dᦪGḄf?21(8(2)ᑖÜ,ÝÞ:জ᝞1,c஺ᙠx]ªdᵫ⚪ß;=N66⚓/Q70⚓

66/.APO0?¸Ὺ^¹á¹q:.OP=PQf11/411:.—m=-----(—/??)+-------m+m»22222%;â=0,Ê2=6,ீ஻7ு0I.Ê=6(ঝc0ᙠX]ådæᳮ;gm=J,(g஻7)2-□%;%=0,tn=14,2N67⚓/Q70⚓

67,/w>0,/.w=14(©ªÊḄf?6ᡈ14(3ᑖÜ,ÝÞজ᝞2,cQ.”3dÔyCCD_Ly]$஺••CD=m,:.CD=OB,vAB1BCfNABC=Z.ABO+ZCBD=90°,••/CBD+/BCD=90°,NABO=/BCD,.NAOB=NCDB=90஺,\ABO=\BCD(ASA),OA=BD,cdy=0,BP--x2+—x+=0,22x2-x-2w=0SN68⚓/Q70⚓

68hnza1_Jl+8□1+Jl+8Ê%;X,=----------SX=---------------222,_Jl+8M-1rq1nA28•••yḄÖᙶ᪗1a,CyḄÚᙶ᪗1c,*஻=-3c,/.OD=c=--a,3...BD=m-OD=m+—a,3••OA=BDfJl+8஻?—111—Jl+8+----------=mH--------------f232on%;ï=0ðd4,B,Cáyñᔠów=y(2ঝcᵨõ0d᝞3,Ôy஺]$஺æᳮ;OA=BD,cᜩ."dy=0,ᑣx2-mx+஻?=0,᱐÷Ê+-4஻?m-yjm2-4/w84%;X]=-------------,m=-------------------ó2N69⚓/Q70⚓

69C,Ê+J.2-4ÊI0A=---------------=a,2W4-A/W2-4W1---------------=c—m=——a-m,2----------------------3%;m.=0,=-—.21©ªÊḄf?ùᡈ-3921N70⚓/Q70⚓