2022年广东省东莞市中考数学二模试卷（附答案详解）

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2022
ḕὃᦪᔁ1.ᑡᔜᦪᦪḄA.2"1B.-%"1C.1"'12D.2"|'2|2.ᐰ+,ᙠ2021/ᝍ12᝕4ᓝ678⚗:;<=>?@AB7CᡂEᑖGᓫIJᑖJ82.50,96.00,95.70,96.00,96,00,QᦪRḄSᦪTIᦪᑖGA.96.00,95.70B.96.00,96.00C.96.00,82.50D.95.70,96.003.VB"V4—2,3ᐵZ[V\]@V8Ḅᙶ᪗A.2,-3B.-2,3C.2,3D.(—2,—3)4.᝞a@bᳫaᱏḄ'ᙽf⁐hᙽḄᑁjTA.720°B.540°C.360°D.180°5.⌕mB᪷oApIᨵst@ᑣxḄwxzA.%>—2B.x>-2C.xH—2D.xW—26.᝞a@ᙠ~A8CQ@BDOḄV@40஻E0,OF//AB,8E0FḄᕜ10,ᑣ~A3CDḄᕜA.10B.12C.157.ᱥy=2/ᔣ~3ᓫI@<ᑮḄᱥ᪆oA.y=2(%—3)2B.y=2(%+3)2C.y=2x2—3D.y=2x2+38.poḄ()A.x>1B.x<3C.1<%<3D.°9.¡¢A8CCᢚ¤@m⚔VA"C£>ḄVM¨ᔠ,ᢚª«ZE,«BCZ¬@A8ᢚ¤"BC«ZVG.®DC=5,CM=2,ᑣEF=()A.3B.4C.V29D.V3410.±²³´µᦪy=?Ḅa·᝞aᡠ¹@ᑣ'Bµᦪy=cx+aTBµᦪy=ax2+bx+cᙠ¼'~☢¾jᙶ᪗¿Ḅa·ÀÁ

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216.᝞a@a1ᵫ®Ö¼Ḅa2ᡂḄaᫀ@ᙠa2@±²ÍÂ02=9cm,^AOB=140°,ᑣa2Ḅᕜcm(ØÙÚᶇÜ1217.᝞a@ABC஺Ý@AB=4,S.ABAD=30°,P\j4c(pÞAV)ßs'V@ÈIJDP+^/IPḄᨬáx.18.ᐜᓄä@åæxJ(1-/+ᐸè=ᡈ'1.19.'pêëḄìíîᨵïᑖG᪗ᨵᦪð-1,-2,1,2Ḅᓱᱏ@ᓱᱏ◀ᦪð᜜ᐸôõ¼.áëᐜÆBpö÷øwᓱᱏ@Ò'BøwḄᦪðÎxḄx@ÒBøwḄᦪðÎyḄx@ÆBØÙù(x,y).æJᵨ᪛üaᡈᑡ⊤þ⊤¹(x,y)ᡠᨵÀÁÿḄ(x,y)ᙠᦪy=-|Ḅᭆ᳛.20.᝞ᙠABC.(1)ABCḄᑖBE,ACE(ᶇ"#$ᑏ&')(2)ᙠ)A8*+8஺-.BD=DE,/0DE//BC.21.᝞123᰿5ὅ78ᙠ9▬;<123=123>?ᑮ78ᜮ⚔CDEF஺ᜐH123I.JKBC⚔LCᜐḄMN30஺OP78AQ7RJKBCSTḄUVN36WJKBCḄEFN12XW.(1)YH123Vᙢ☢ḄEF(2)ᙠ(1)ᩩ]^_123ᢝᨵEFb?48Ḅcᔣe4W/gḄhFijᔣkᒴh>?m:o&pqgH123r5Vst78Ḅuv(ᎷDA,B,C,஺xᙠyC☢ᑁ)

3ᓃ?cᔣ22.}~ᨵAஹ84A2BCe~110ᔴ6A48Ce~180ᔴ.(1)m1AQ1BCeᑖ~pqᔴv(2)kᨵ190ᔴᱥ◤⌕~~ᑜ᣸4ஹBᐰᱥC~(4ஹ8ᙳ)ᐸAC~¡600ᐗ8C~¡500ᐗ.£ᑡᡠᨵḄ~cᫀᢣ¨~cᫀ¡ᵨᨬq.23.᝞ᙠ«40B=90஺OA=OB=4,e஺Nᙊஹ2N®¯°ᙊ&A஺஺ḄᑗᑗNP,²³0P,OP´஺ᢥ⌮H┐cᔣ¸¹ᑮH²³AH,BH,º¸¹Na(0஺

4y25.᝞1,ABCAB=AC=5cm,BC=8cm,EஹÑᑖÒ8ஹCyHÓᐸEbBCᔣÔC~ÕhFN2cm/sÑbC4ஹA8ᔣÔB~ÕhFN2cm/s,ºÖ×~ÕḄHTNx(s).(1)=x=1HEÑḄØ(2)᝞2,4D1BC஺xNÙÚH,Z\EFCQ4CCÜÝ(3)᝞2,AD1BCD,EFN,²³DF,º^ENDḄ☢½NS^,FND☢½NS2,ᙠ᦮à~ÕSiS2¼ᔲâᙠãDḄᦪäᐵÆ_âᙠᑏæS2çḄᐵÆèée/80_$âᙠêë8ᳮᵫ.21

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ᦪḄ-12=1,-
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-x,-y,ᯠZw|}6ᓽV.(⚪ὃ,ᐵOrqsḄqᙶ᪗Ḅᐵy1◤⌕-Ḅ(⚪Vᔠa☢wxᙶ᪗yḄ.4.ூ6ᫀ௃B6⚓ᐳ19⚓

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b<0ôõc┯óD•@ÀᦪÁËᔣ¶sçᙠyçíîÖyçO¢ïça>0,b<0,c<0,••@Àᦪ÷=cx+aḄÁñòÔஹஹ¤Á▲஺Ð.11.ூ6ᫀ௃a(l+&)(l-6)ூ%᪆௃%#r=a(l-b2)=a(l+h)(l-b),ᦑ6ᫀ#a(l+fe)(l-b)røÍa,Þᑭᵨaúᑖ%ᓽV.'⚪ὃ,øû
Ḅüᔠýᵨ-./0ûᑖ%Ḅ1%(⚪Ḅᐵ3.12.ூ6ᫀ௃27஺ூ%᪆௃%#•••4A0C=126°,(BOC=180°-Z.AOC=54°,

91•••4CDB=4BOC=27".2ᦑ6ᫀ#27஺.ᵫN4OC=126஺VlNBOCḄ¹ᦪᯠZᵫᙊᕜxᳮlNCDBḄ¹ᦪ.'⚪ὃ,ᙊᕜxᳮ®ᙊÿஹḄᐵ.ᙠᙊᡈᙊᡈᡠḄᙊᕜᩩᡠḄᙊḄ.13.ூᫀ௃-1ூ᪆௃"1•,V2x+8+|y-3|=0,:.2#+8=0%y—3=0,&"x=—4,y=3,(x+y)2021=(-4+3)2021=—1,ᦑᫀ("—1.᪷*+,-./01᪷Ḅ23ឋ&52x+8=0,y-3=0,65xஹyḄ,78ᐭ65ᫀᓽ;.<⚪ὃ?@./01᪷ஹ+,Ḅ23ឋ-68ᦪBḄ,C65xஹyḄ,DE⚪ḄᐵF.14.ூᫀ௃-6ூ᪆௃"ab=-3,a+b=2,a2b+ab2=ab(a+b)=-3x2=-6.ᦑᫀ("—6.GHIJKLBMNOPQR8ᐭ65ᓽ;.E⚪S⌕ὃ?@IJKLBUᑖLBWXY5KLBD⚪ᐵF.15.Zᫀ[2\ூ᪆௃"•••ᑖ^_`A,`8(ᙊ_6(ab)cd`C,`O,:.AC—AD=BC=BD=6.-------------------.••efgACBDDhg'.ABLCD,*iABjCDd`O,ᑣ஺4=OB=.B=5,OC=OD,•.•ᙠRtAAOCLAOC=90°,•••OC=yjAC2-0A2=V62-52=VT1,m10⚓ᐳ19⚓

10•••CD=20C=2VTT,ᦑᫀ("2"T.ᵫ⚪RAC=2D=BC=BD=6,ᑣefgACB஺Dhg&5qB_LCD,iA3jCDd`0,ᵫhgḄឋr&5஺A=0B=^48=5,0C=0D,ᵫstuᳮ650C=AC2—0A2=VT1,ᓽ;&5wx.<⚪ὃ?@hgḄᑨujឋrஹstuᳮRz{|}~hgḄᑨujឋrD⚪ḄᐵF.16.ூᫀ௃14ᐔூ᪆௃"ᵫ1&"Ḅ+Ḅ=ᔁḄ•••aCM=9cm,AAOB=140"ᑣ2Ḅᕜ("2x=14ᐔ(cm),180ᦑᫀ("14ᐔᐜ᪷*1Xu"2Ḅᕜ=2ᔁḄ᪷*KB;&w.<⚪ὃ?@KBḄ.᪷*gᱯ`XuᔜḄᐵD<⚪ḄᐵF.17.ூᫀ௃2V3ூ᪆௃"᝞ᙠḄ1bNB4M=NC4B,`PbPT1AM`T,`஺+DJ1AM`M.•••efgA8C஺Dhg•••ADAC=ACAB=-Z-DAB=15°,24P4T=30°,Z,DA]=60°,-PT1AM,'.PT=-PA,2DP+^PA=DP+PT>DJ,•'DJ=AD-sin60°=2>/3,DP+^PA>2V3,DP+Ḅᨬ,(2ᢈᦑᫀ("2,.᝞ᙠABḄ1bNBA"=Z.CAB,`PbPT1AM`T,`஺b1AM

11`M.PT=?P4¡⚪¢ᓄ(ᚖ¥¦ᨬ§65D/,;&w.<⚪ὃ?«¬¡⚪ᚖ¥¦ᨬ§hgḄឋrRz⚪ḄᐵFD®¯°±²ᵨ´µ¥¡⚪¢ᓄ(ᚖ¥¦ᨬ§¶ὃ²ὃ⚪·.18.ூᫀ௃"ºB=ᓃ4¼UX(41)2_X+1---,X¼x=yj2—1úBÄÅÆ1V2-V2-1=2+V2.ூ᪆௃ᐜ᪷*ᑖBḄÈᔠÊ.ËÌ-Ê.UᑣᓄͺB7PxḄ,8ᐭ.ᓽ;.<⚪S⌕ὃ?ᑖBḄᓄÍ6,⚪ḄᐵFD~ᑖBḄÈᔠÊ.ËÌ-Ê.Uᑣ.19.ூᫀ௃"ᑡ⊤᝞:-1-212-1(-1,-2)(-1.1)(-U)-2(-2,-1)(-2,1)(-2,2)1(1.-D(1.-2)(L2)2(2,-1)(2,-2)(2,1)ᵫ⊤ÓRᐳᨵ12Õ;Cwx`(x,y)ᙠ×ᦪy=-"ØÙᨵ4Õwx•••`(Úy)ᙠ×ᦪy=ØÙḄᭆ᳛Dᗎ=-ூ᪆௃ᑡ⊤&5ᡠᨵwxᓽ;ᡠᨵ;C5ÞḄwxᐳᨵ12ÕᐸàᑮḄcâᓱᱏÙḄᦪ`Q,y)ᙠ×ᦪy=ØÙḄᨵᐳ4Õ7ᵫᭆ᳛KB6ᓽ;.<⚪ὃ?ḄDᵨᑡ⊤Uᡈæ᪛èU6ᭆ᳛.ᑡ⊤Uᡈæ᪛èU;_¬éê¬⍡ìḄᑡ5ᡠᨵ;CḄwxᑡ⊤U〉ᔠcîïᡂḄñò᪛èU〉ᔠcîᡈcî_ÙïᡂḄñò.ᭆ᳛=ᡠ6óôᦪjõóôᦪö.20.ூᫀ௃প:᝞,ù¥BEᓽ(ᡠ6;(2)":BE0ᑖý4BC,•Z.ABE=CBE,vDE=DB,m12⚓ᐳ19⚓

12♦(DBE=(DEB,(DEB=Z-CBE,DEI/BC.ூ᪆௃(1)᪷*⌕6b5gᓽ;{(2)NDEB=NCBEᓽ;.<⚪ὃ?b-êᩖ
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<=AC>஺@AG,Z.CAB=30",•••LDAB=90°,

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():.724-4=18
C)DE18C1234FG5HIJKḄL.ூ᪆௃
1<=BC1DF2E,ᑣ4DEC=90°MD=BE,AB=DE=36(,4CDE=30஺ᙠRt'CDE!ᑭᵨ┦TᦪḄVWXCEḄ=ᯠZ᪷\4஺=BE=BC+CE,]^_ᓽab;
2<=AC>஺@AG,ᙠRtA4CB!ᑭᵨ┦TᦪḄVWXNC4B=30°,cdae4DAC=60஺ᯠZᙠRtZkADG!ᑭᵨ┦TᦪḄVWX஺GḄ=ᨬZ]^_ᓽab.⚪ὃgIhḄiᵨ-klm⚪᪷\⚪nḄoᩩqrsᔠ
uv〉xḄyz⚪Ḅᐵ.22.ூbᫀ௃|.1}1~Aaxᔴ1~Bayᔴ,4x+2y=110⚪e:6x+4y=180'x=20e:y=15,1~Aa20ᔴ1~8a15ᔴ.
2}᣸஻?~A஻~8⚪e|20m+15n=190,38-4m■-n=-----------.m,஻ᙳ:᦮ᦪd஺ᡈ|ᡈ:••ᐳᨵ3ᫀᫀ1|᣸2~A10~8;ᫀ2|᣸5~A6~8;ᫀ3|᣸8~A2~3.⌱ᫀ1ᡠ◤:600X2+500x10=6200
ᐗ);⌱ᫀ2ᡠ◤:600x5+500x6=6000
ᐗ);⌱ᫀ3ᡠ◤:600x8+500x2=5800
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