2022-2023学年安徽省合肥市中考数学专项提升仿真模拟卷（一模二模）含解析

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2022-2023ḕᔠὃᦪ⚗ᓣᔁஹ⌱⌱⚪ᐳ12⚪⚪3ᑖᐳ36ᑖ.ᙠ⚪Ḅ⌱⚗,ᨵ⚗ᔠ⚪⌕Ḅl.cos30஺ḄA.1B.-C.—D.—2322.!ᑡ#$%&'()*#$ḄAB஺D*3.ᵨ-ᙽ/ᐰ12Ḅ3456ᡂ᝞#ᡠ:Ḅ;<5=;<5Ḅ>?#4.ᙠ@ᨵABḄCDEᨵ4FᳫHIJKᳫLM◀O⁐᜜ᐸLᙳ12TDUV᥎-ᳫY!O⁐Z[\.]^ᜧ`ab᥎ᳫcdZef᥎ᑮFᳫḄ⚣᳛ᙠ25%▬k᤮mᑣCDḄKᳫ%oᨵA.12B.13C.15D.165.pqrstuᦪy="Ḅ#wxP-1,2,ᑣ=uᦪḄ#wyzxA.{ஹ|w▲B.ஹ|w▲C.|ஹw▲D.{ஹw▲6.~ᱥy=-2/ᐜᔣ1ᓫy3ᔣ2ᓫy3ZᡠuᦪḄ⊤A.y=-2
x+1-+2B.y=-2
x+12-2C.y=-2
x-12+21⚓/54⚓

1D.y=-2x-12-27.I2x2+12—2X-51rᦪᑣx4X2233A.-1ᡈB.1ᡈ---C.1ᡈ---D.1ᡈ33228.ᩩ¦§¨⍝ᜐ«ᙊAB,xO=ᩩᡠᙠᙊḄᙊ¯xCABḄx0CAB1±zxD.pqAB=120m,CD=20m,³´=«¨⍝Ḅµ¶A.200mB.200GmC.100mD.lOO^m9.᝞#,ᙠ»¼$ABCDAB=10,AD=6,EADḄxᙠAB¿xF,ÁÂCBFs/\CDE,ᑣBFḄ3A.5B.8.2C.6.4D.1.810.ᙠAABCAB=AC=13,BC=24,ᑣtaÈz()551212A.—B.—C.—D.—13121352L᝞#AஹBஹCஹDxᙳᙠ0ONAOD=50°AO//DC,ᑣḄᦪA.50°B.55°C.60°D.65°12.᝞#ᱥÏax2+6x+c஺ÑḄÒᑖ#wᐸ⚔x1,஻ÕxḄ±xᙠx3,0H4,0Ö×ᑣ!ᑡØÙÚজÜc>0Þঝ3a+b=0Þঞâ2=4“টᐗ{æ2⚓/54⚓

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Ḅ☢12,/8EEᙠᑁFCD"#DF=\,ᙠ$%ZC"ᨵ#'()PE,PF,ᑣ'E+'*Ḅᨬ,-_____.03⚓/354⚓

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4(I)UB,C[Ḅ(ᑮIm)Y(II)ZrḄ]ᨵK15m/s,ᑨᔲ.¢ὃᦪ¤~tan31°H).6,tan50%1.2.23.¥ᖪ§¨├#ªᡂ9¬60ᐗḄ®¯¨├°ᓫ²]ᨵ³Oᡂ9ᓫ²x´ᑭ]ᨵ¶O50%.·¨├¸¹ºP()»ᓫ²X(ᐗ)¼ᔠgᦪᐵ¾Sᓫ²65ᐗº55Sᓫ²75ᐗº45.(I)UP»xḄgᦪᐵ¾¿Y(II)Zrᖪ§´ᑭÀyᐗ¨ᑏ?ᑭÀy»ᓫ²xÁḄᐵ¾¿Y(III)ᓫ²ÂÃᐗᖪ§Ä´ᑭÀᑭÀÂÃᐗÅ24.ᙠÆ☢tᙶ᪗¾É0jA(1,0),B(0,Ê)ËABOÌ஺Í┐ABO,Îa.(I)᝞জSa=30஺UBḄᙶ᪗Y(II)qt%AA»t%BBÐyOM.᝞ঝSa=90஺UMḄᙶ᪗YঝC(-l,0),U%CMÒḄᨬ,-.(t)ᑏ?ᓽÄ)25.bc~᝞t%y=kx+2»xmÔm^yOA(t,0),»ym^yOB,Õᱥ%y=-x2+bx+cAoB,Cᙠ0kk▲ᑁxAC_LAB,tanZACB=y.(1)St=lUÕᱥ%Ḅ⊤¿;05⚓/354⚓

5(2)¨ᵨÛtḄÜᦪ¿⊤ÝCḄᙶ᪗Y(3)᝞CᙠÞᩩÕᱥ%Ḅ$ßm"UtḄ-.06⚓/354⚓

62022-2023ḕᔠὃᦪ⚗ᓣᔁ#ஹ⌱#⌱9⚪ᐳ12\,⚪¬,⚪3ᑖᐳ36ᑖ.ᙠ¬,⚪á?Ḅâ\⌱⚗É,äᨵ#⚗¼ᔠ⚪å⌕UḄl.cos30஺Ḅ-A.1B.-C.—D.—232ூè6ᫀ௃Dூë5௃cos300=ì.2ᦑ⌱D.2.îᑡÉÄðñl$ßḄA''G஺D'ூè6ᫀ௃Dூë5௃Aஹ]ᨵ$ßᦑ9⌱⚗]ᨵ¼ᔠ⚪òYBஹ]ᨵ$ßᦑ9⌱⚗]ᨵ¼ᔠ⚪òYCஹ]ᨵ$ßᦑ9⌱⚗]ᨵ¼ᔠ⚪òYDஹ$ßᦑ9⌱⚗¼ᔠ⚪ò.ᦑ⌱D.3.ᵨ[ᙽôᐰ^öḄ{÷øᡂ᝞ᡠÝḄúû÷Þ\úû÷Ḅüý07⚓/354⚓

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19(II)᪷AÉÕ=ßàáᓽ?.J7)?4ூ34௃49(I)ᙠRtZ\ABDÛBD=-----------=—=40,tanZ50.6AD24ᙠRtAACDÛCD==20,tanZC1.2.BC=BD-CD=40-20=20(m).s20(II)v=—=—=10(m/s)<15(m/s),t2ØÅÆ"ᨵÖÉ.23.âᖪä5├æᡂJèé60ᐗḄêëÓ²5├ìÎᓫî"ᨵïᡂᓫî2ðᑭ"ᨵEñ50%.ò5├óôõP(é)¹ᓫîX(ᐗ)öᔠSᦪᐵøᓫîJ65ᐗõJ55éᓫîJ75ᐗõJ45é.(I)P¹xḄSᦪᐵøD(II)iᖪäðEᑭùJyᐗ5ᑏ|ᑭùy¹ᓫîxûÎḄᐵøD(III)ᓫî²Jüýᐗᖪä?ðEᑭùᑭùhüýᐗþூ*+,ᫀ௃(I)P=-x+120(II)y=-x2+180x-7200=-(x-90)2+900(III)ᓫî²J90ᐗ,ᖪä?ðEᑭù,ᑭùh900ᐗ.ூ34௃5⚪ᑖ᪆9(I)ᑭᵨÿ
ᦪ(II)᪷“ᑭ=ᓫᑭX”ᦪ᪆(III)᪷“ᓫᨵᡂᓫᑭᨵ!50%”"xḄ$%'()*+ᦪḄឋ-./⚪᪆1(I)^P=kx+b,654+6=55᪷⚪2(:15k+b=45[k=-\:Z=120ᑣP=-x+120(II)y=(x-60)(-x+120)=-x2+180x-7200=-(x-90)2+900(HI)•••ᓫᨵᡂᓫ(ᑭᨵ!50%,920⚓/54⚓

20...60WxW(1+50%)X60,ᓽ60WxW90,HIxW90J(yLxḄMᜧOMᜧ(.•.Ix=90J(y$%(%P90(),Q1ᓫP90ᐗJ(ᖪTᑭ(ᑭU900ᐗ.24.ᙠY☢[\ᙶ᪗
_(஺Pab(bA(1,0),bB(0,e)(fgABOib஺jJ┐lm(AEO,olm\Pa.(1)᝞rজ,Ia=30஺J,b᜛Ḅᙶ᪗(II)w[xAA(y[xBB(z{bM.᝞rঝ(Ia=90஺J(bMḄᙶ᪗1ঝbC(-l,0),xCMḄᨬ%.([ᑏ"ᓽ)ூ௃/⚪ᑖ᪆1(I)oA'B'yx{bH.⌕"OH,B'Hᓽ⚪(II)জMN_L0AN,⌕"ON,MNᓽ⚪ঝ✌ᐜ1bMḄP¡ABP[¢Ḅ00',ICஹMஹ0'ᐳxJ(CMḄ%ᨬ(ᨬ%=C0*AB=6-1/⚪᪆1(1)oAB(yx{bH.921⚓/54⚓

21(NOHA(=90஺(y[33.*.OH=OA'«cos30°=—,B'H=OB'cos30°=¦,22(II)®VOA=OA',...RtzXOAA(U§Ὺ[\©\ª(VOB=OB\...RtaOBB(«U§Ὺ[\©\ª,¬ᯠAAMB(U§Ὺ[\©\ª(MNJ_OAN,/.MN=AN=~~-2922⚓/54⚓

221+V3^-1;>M22(NOAA(=NOA(A=NOBB(=NOB(B,VZOAAZ+ZOAM=180°,.*.ZOBBz+ZOAM=180o,.,.ZAOB+ZAMB=180°,•/ZAOB=90°,.*.ZAMB=90°,®bMḄP¡ABP[¢ḄOCX,ICஹMஹ0,ᐳxJ(CMḄ%ᨬ(ᨬ%=C0=gAB=G-1.25.¯°1᝞r([xy=kx+2yx±²z{At,0
,yyz{bB,³ᱥxy=-x?+bx+cbAµbB,bCᙠ9©¶¶▲ᑁ(AC_LAB,tanNACB=g.¹1
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/ᵨ¾tḄ¿ᦪ⊤ÀbCḄᙶ᪗¹3
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23ூ±ÆQᫀ௃(1)³ᱥxḄ⊤¼Py=-x2-x+2(2)bCḄᙶ᪗P(t-4,-2t)(3)t=4-714.ூ௃/⚪ᑖ᪆1(1)fbA(1,0),B(0,2)ᑖÊ¿ᐭ³ᱥxḄ⊤¼(ÌÍÎᓽ;(2)᝞r1CHJ_x(ᚖÒPbH,᪷gAOBs^CHA,ᑮÖ=Ö=Ö(᪷CHAHACtanZACB=—ᑮÖ=Ö=,᪷OA=t,ᑮbCḄᙶ᪗P(t-4,-2t).AC2CHAH2b(3)᪷bC(t-4,-2t)ᙠ³ᱥxy=-x2+bx+cḄÃÄÅ(ᑮt-4=,,ᓽb=2t-8,fbA(t,0)ஹB(0,2)¿ᐭ³ᱥxḄ⊤¼(W-t2+bt+2=0,°t4(2t-8)t+2=0,ᓽt2-8t+2=0,Ýᓽ"tḄ%./⚪᪆1(1)'."t=l,y=kx+2».A(1,0),B(0,2),—\—b—c=0fbA(1,0),B(0,2)ᑖÊ¿ᐭ³ᱥxḄ⊤¼(áஹ(c=2b=-\ác=2ᡠ³ᱥxḄ⊤¼Py=-x2-x+2.(2)᝞r1CH_Lx(ᚖÒPbH,NAHC=NAOB=90஺,AC±AB,ZOAB+ZCAH=90°,H,.NCAH+NACH=90°,ZOAB=ZACH,gAOB^ACHA,OAOBABZ77¦ᓭ¦æ'ABitanZACB=---=—AC2OAOB_i924⚓/54⚓

24VOA=t,0B=2,ACH=2t,AH=4,®bCḄᙶ᪗P(t-4,-2t).(3),bC(t-4,-2t)ᙠ³ᱥxy=-x2+bx+cḄÃÄÅ(bAt-4=—,ᓽb=2t-8,2fbA(t,0)ஹB(0,2)¿ᐭ³ᱥxḄ⊤¼(-t2+bt+2=0,J-t2+(2t-8)t+2=0,ᓽt2-8t+2=0,t=4+V14>:bC(t-4,-2t)ᙠ9©¶▲(••♦H4+JIZᨵèᔠ⚪2(êë(.*.t=4-714•ὃíî*+ᦪïᔠ⚪(ðñ©\ᦪஹò
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252022-2023ḕᔠὃᦪ⚗ᓣᔁ*¦ஹ⌱¦⌱¹öᑡᔜ⚪Ḅᜓ⌱Qᫀ_(ᨵ¦úU±ÆḄ.û⚪3ᑖ(ᐳ24ᑖü1.-0.5Ḅ%U¹ü2.ᵨýþoᦪ⊤Àᦪ5230000,±ÆḄU¹üA.523x104B.5.23X104C.52.3x105D.5.23*1063.᝞rUÿ
ᑣ
+,-.,-/,-A.ᳫB.ᙊ┵CᙊD.x+3>04.ᨵ,Ḅx-4<0A.-3<%<4B.3VxW4C.-3cxW4D.%<45.᝞!48coḄᕜ#$24cm,%&'4Cஹ3஺*+,஺-E40Ḅ.-/0OE,ᑣ'1OEḄ#,4,ED226⚓/554⚓

26A.3cmB.4cmC.2.5cmD.2cm6.6ᑡ$8ᯠḄA.:;<=>ᵯ@ἠBCDᏔᦪB.ᡭOᵯPQᙠRSTUᱏC.3GᑖᡂJ=Kᨵ2Gᑖᙠ=D.᪷#X$2cm,2cm,4cmḄᩈZ[᤮ᡂ&!7.᝞-A\]'^Gᙠ2_`▲ᑖbcḄ:;=--Bஹ-Cஹ-Dᑖd-Aᐵx,xfஹᙶ᪗i-ஹyfḄ%j-.lmn!ABCDḄ☢p8,ᑣkḄq$8.᝞rs஺஺ḄJᩩu4C,8஺*+,-E,/Z=70°,ZC=50°,vwsin//E8Ḅ*ஹ12⚪45⚪3ᑖ7ᐳ24ᑖ9.᝞x'a||b,41=60஺ᑣ42=227⚓/554⚓

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281
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Î-B$CÏᙠÅÆ.UÊA2BC2,ÐÊA2BC24ABCCϱCÏÑ$2¿1,Ëx0ᑏC-Ḅᙶ᪗ÒAAzBC?Ḅ☢p.2=ஹ45⚪10ᑖ7ᐳ20ᑖ19.§ÓÔÕÖ×ØÕÙᢞÛᑴX×G×Øᑖ$AஹBஹCஹDm᫏.§Þ%ßÔÕᨴá×G×ØâÖË᪷yᦈᑮḄᦪyäᑴ᝞6åᨵæ᦮Ḅèé⊤ᡧ!èé.᫏×Øᐗ⚣ᦪG⚣᳛A300020B28000.30C2200D200010᪷yc☢íîḄïðñ¶6ᑡò⚪¿1
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29ᳫᑖ᪗ᨵ"0ᐗ"ஹ"10ᐗ"ஹ"20ᐗ"!"30ᐗ"Ḅ#᪵.&'()ᙠ*ᖪ,-ᑁ/0123200ᐗ/456ᙠᐜ8᥎:;ᳫ(=᥎:8ᨵ>)/ᖪ,᪷A;ᳫᡠ᪗CDḄ!EFGHIḄJᱥᑶ/56MNᙠ*ᖪ,12/O()PQ12200ᐗ.(1)R()ST5UᑮᐗJᱥᑶ/SW5UᑮᐗJᱥᑶX(2)YZᵨ\᪛^_ᡈᑡ⊤Ḅcd/e:R()ᡠfUJᱥᑶḄCDᨵgh30ᐗḄᭆ᳛.kஹ(0⚪10ᑖ/ᐳ20ᑖ)21.᝞_/ᙠo4qr//sᱏ30°,648wxyḄ஺஺{C}{C~஺஺Ḅᑗ48Ḅh{.{஻wᙊ{//0=জ/஻Ḅᑗ"1h{£,6c(1)ᑨ᝞!Ḅᦪᐵ/ᳮᵫX(2)0஺Ḅyw2,e/£Ḅ.22.}8/Oᙢ⍗¡ᚁ/£¤¥¦:¥£¤ᡊ¨©ª«◅.8/®¥©¯°±/²ᙳ´µ¶¥Ḅ1.5¸/¹º;¥ᑮ».¼½«◅¥Ḅ:¾ᙢ¿ÀÁḄÂÃw90ᓟÆ/;¥ᡠÇÈ/É;¥Ḅ²ᙳ´µᑖ¶WTÊËஹ(0⚪10ᑖ/ᐳ20ᑖ)23.ᓭrÍζrÍÏᨵ⚞Î/ᡃÒÓÕÖᙠ×ÎØ᡻ÚÛÜ.ᡃÒÓÝᙠÞ4ᓅàá37°cᔣḄ8ᜐ/åÜ4ÞᕜçÎØ.Aèé/ÒÓÂ/ÞḄÂÃ46w10Î.×êhAÞëácᔣ஺ᜐḄᡃÒᑮOÍḄì᡾/¾îᙠᐸᓅàð50°ḄcᔣᨵᡃcÒÓ,ñ¾:òញeᦗõö.ÒÓ¤8/÷ᓽùúû6030ÎḄ´µ©ªᦗü/ÉÒÓᜧþ◤
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30224.᝞/01234ᦪy=—Ḅ/674ᦪy=kx+bḄ/689:Am,2
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Ḅᩩkl0m4ABCn:A⌮p┐rs180஺0ᙠᜓᵨ/vwxrsyḄ/z=⌕>|}w/0~ᨵᑏw0ᶇw/K0EC^8BD9:M.ᑣNBMC==ᵨa⊤hK.*31⚓/-54⚓

31EEE>ஹ(?⚪14ᑖ)26.MᱥRy=ax?-2ax+c7y;89C:07x;89AஹB:0:AḄᙶ᪗(O1,0),Oᙶ᪗:0|OC|=3|OA|.(1)>ᱥRḄ4ᦪ⊤AB(2)QᑏxQRBCḄ4ᦪ⊤AB(3)᝞/1,Dজs7tª©Ḅ4ᦪᐵ]ABঝᙠ¢¡£¤v0sᔲ¬ᙠ᝞®¬ᙠ0Qᑏx¯B᝞®~ᨵ¬ᙠ0°_`ᳮᵫ.(4)᝞/2,:P(1,k)ᙠQRBCS0:MᙠX;S0:NᙠᱥRS0ᔲ¬ᙠAஹMஹNஹP<⚔:Ḅ²³´zU¬ᙠ0°QᑏxM:ᙶ᪗BU~ᨵ¬ᙠ0°_`ᳮ*32⚓/-54⚓

322022-2023ḕᔠὃᦪ⚗ᓣᔁ*Oஹ⌱O⌱=lᑡᔜ⚪Ḅᜓ⌱¸ᫀv0ºᨵO»Ḅ.e⚪3ᑖ0ᐳ24ᑖK1.-0.5Ḅ=KA.0.5B.-0.5C.-2D.2ூ»¸ᫀ௃Aூᑖ᪆௃ூÅ?௃஺5Ḅ0.5ᦑ⌱A2.ᵨÇÈÉᦪ⊤hᦪ5230000,Ê®»Ḅ=KA.523xlO4B.5.23x104C.523x1=K5D.5.23xl06ூ»¸ᫀ௃Dூᑖ᪆௃ÇÈÉᦪḄ⊤hzA

33B.ᙊ┵C.ᙊíD.èîæூ»¸ᫀ௃BூÅ?௃ᑖ᪆ïé/ஹðé/ஹñé/ᑖòóᱥæ☢ஹð☢ôS☢Õ0ᡠçᑮḄ/z.?¸?ᵫ9ñé/<ᙊzõç<ᳫஹᙊíஹᙊ┵.ïé/ôðé/<èözõçÚäåæ<ᙊ┵.ᦑ⌱B.x+3>04.~ᨵ÷Aøù,úḄ?û=Kx-4<0A.-3<%<4B.3VxW4C.-3cxW4D.x<4ூ»¸ᫀ௃AூÅ?௃?Oᐗ~ᨵ÷Aø0ᐜ>x~ᨵ÷AøvO~ᨵ÷AḄ?û0þᑭᵨ
Ḅᐳᑖᜧᜧᜧᜧᨵ.X+3>0x>—3!x-4<0x><4..•.ᨵ#$%Ḅ&'3OEḄ/#7A.3cmB.4cmC.2.5cmD.2cmூ@ABᫀ௃AூE௃•••,-48஺Ḅᕜ/&24cm,A8=24+4=6cm,•.,012ACஹ8஺567஺8.OB=OD,:49Ḅ8H34⚓/K54⚓

34).0E4ABDḄL2OE=yJ5=yx6=3cm.ᦑ⌱A.M⚪ὃP,-ḄឋRSL2ḄឋRTU,-SL2ḄឋR:⚪ᐵW.6.Xᑡ&ZᯠḄ:A.\]^'_ᵯaἠcLd:ᏔᦪB.ᡭhᵯij@ᙠlmnoᱏC.3qrᑖᡂt%'uᨵ2qrᑖᙠ'%D.v᪷/x&2cm,2cm,4cmḄᩈz{᤮ᡂv1-ூ@ABᫀ௃CூE௃Zᯠ⊤~ᙠ'uᩩXZᯠḄ.A.\]^'_ᵯaἠcLd:Ꮤᦪ:j!B.ᡭhᵯij@ᙠlmnoᱏ:j!C.3qrᑖᡂt%'uᨵ2qrᑖᙠ'%:Zᯠ!D,v᪷/x&2cm,2cm,4cmḄᩈz{᤮ᡂv1-:ᨵ{.ᦑ⌱C.7.᝞+8A:2ᙠH▲ᑖḄ\]'88Bஹ8Cஹ8Dᑖ:8Aᐵx7xஹᙶ᪗8ஹyḄ08.-ABCDḄ☢:8,ᑣkḄ&A.-1B.1C.2D.-2ூ@ABᫀ௃DூE௃••,8Bஹ8Cஹ8Dᑖ:8Aᐵ7xஹᙶ᪗8ஹyḄ08,-ABCD:-.:-ABCDḄ☢:8,H35⚓/K54⚓

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36ூE௃᝞+ᡠ~¨N2Ḅ⊡1&N3!¦2a஻b,Zl=60°,ᡠµ/3=/1=60஺/2=180°-/3=120°ᦑ120.M⚪ὃP¹º2ḄឋRTU¹º2ḄឋRS⊡1Ḅᭆ¼:M⚪ḄᐵW.10.ᑖ$x3-2x2+x=.ூ@ABᫀ௃x(x-l)2.ூᑖ᪆௃⌕Ã'qÄ⚗$ᑖ$Ḅ'ÆÇÈ:✌ᐜËᔜ⚗ᨵᨵ$ᨵ$ᑣÍÎÏᩭÑÒÓÔÕ:ᔲ:×ᐰ¹Ù$ᡈ¹ÙÛ$:Üὃ⇋ᵨ$Þßàᑖ$.¦<Ï$xÓáᵨ×ᐰ¹Ù$ßàᑖᓽூE௃x3-2x2+x=x(x2-2x+lj=x(x-l)2ᦑBᫀ&x(x-1)?ὃ᪶æ8$ᑖ.11.'%ᦪç'1,-2,x,1,2Ḅ¹ᙳᦪ&0,ᑣ%ᦪçḄÙÛ&.ூ@ABᫀ௃2.ூᑖ᪆௃ᐜ᪷ç¹ᙳᦪḄuéAuxḄÓ᪷çÙÛ$êºëìᓽBᫀ.ூE௃ᵫ¹ᙳᦪḄ$(-l-2+x+1+2)+5=0,x=0.•••ÙÛ=1[(_1-0)2+(-2—0)2+(0—0)2+஺_0)2+(2_oó]=2ᦑ212.᝞õᐵ7XḄ'ᐗøÙùú(2ú+i)x+i=oᨵtqᨵ5#Ḅüᦪ᪷¡¢úḄþ:.ூ@ABᫀ௃k
37⚓/54⚓

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᝞IL549⚓/854⚓

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