2022年浙江省金华市义乌市中考数学模拟试卷（三）（附答案详解）

《2022年浙江省金华市义乌市中考数学模拟试卷（三）（附答案详解）》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

2022
ḕᦟὃᦪᔁ1.☢ḄᦪoḄA.—B.2022C.1-20221D.-20222022112.$%&'()*+,ᐰ./'(01411781'2141178ᵨ45ᦪ6⊤,0A.1.41178x104B.0.141178xlO5C.14.1178x104D.1.41178x1053.ᑡ9:;<ḄA.3a2
3=9a6B.a2-a4=asC.—x64-x3=—x3D.—a
-3-a34.ᓅ>?ᝍAᙊCDEF.GH“Cᑖ”LᔁMᑮOPQRST.VᡂX&AYḄZ[\ᫀ^_`\aḄA.BBEIJINGDOC^)5.ᑡᔜVcdef⚗Ḅ0A.1ai2hB.a2bi20ᚡC.2ab—3baD.3a2b^a2bc6.᝞\ᡠ,mᑡnᳮpqrᡠstḄnᳮuv┯xḄA.•••42=/4,ᑁ┯z{|}~B.---AB//CD,.-.Z4=43}~ᑁ┯z{|C.=ez{|}~D.-AD//BC,
.BAD+Z.ABC=180஺}~eᑁz⊡7.ᵨ7[ᜧ{eḄ;Vᡂ᝞\ᡠ,Ḅᐸ\ஹ\ஹ\Ḅ☢ᑖ0S152,53”152S3Ḅᜧᐵ0A.Sy=S>S32B.Si=SS2>S3D.Si>S2=S3

18.᝞\¢&£ᦪyi=kx+bi¤¥£ᦪ%=:{G¨©ªᐘ2
¬8-4,¢3
,?ுkx+b°ᑣxḄ²³µA.x<-4ᡈ06D.-4<%<0ᡈx>69.·ᖪ¹ᢥ»¼├¾·¿ᖪÀ°ÁÂÃÄᑭ45ᐗÇᢥ»¼Ḅ8.5ᢚ├¾ÉᖪÀ8Âi2»¼ÊË35ᐗ├¾ÉᖪÀ12ÂᡠÄᑭÌ{|.ÉᖪÀḄͼஹ»¼ᑖA.95ᐗ180ᐗB.155ᐗ200ᐗC.100ᐗ120ᐗD.150ᐗ125ᐗ10.᝞\.ÎÏᦪÐÑÒᵨᩭÔtÕÖ»ᳮḄ×\Ḅ,Ø\ÙᵫZ[ᐰ|Ḅ~zza¬¢[;aEFGHVᡂាÜÝᡂ¢[ᜧ;a4BCD.ÞßEGàáâG8c¨©M.ã4B=V13,EF=1,ᑣGMḄâ0A.äB.2C.•⌹Dá534511.å&᪷cᨵØᑣXḄ²³µ.12.è|c2y+1
0
5ᓫ784ஹEஹ9ᨵ;5ᙠ<=>?@y=3>0
±,ᑣmḄA/.B2⚓ᐳ22⚓

216.1EᢚGHI᫹ḄKᱥ2☠Nᚖ#ᙢ☢ḄQ☢RSTU)ABC஺VAB=20cm,AD=30V5cm,DE=60cm,BF=30cm.HᙠBC᫹WḄXᥛᩚAFஹBGஹCEᑖ\BஹHஹ஺]^_]4]XᥛᩚLKஹ`].I᫹ᙠ]a(1)b#@EFcd஻DE=120°f47Ḅ☢.cm2.(2)^1

3᪷±²³´µ¶ᑡ¸⚪a(1)⊡ᐰᩩl}(2)ᡧl஺WᡠᙠᡧḄᙊÀ$஺a(3)Á5ᨵ3000¦ÂÃÄl᰿ᔛ8WḄ¦ᦪ/.21.EÅÆ├Ç=ÈÉᵹ├ḄËÌᘤÎ/¥540ᐗᙠ├ÇcÐÑ1ÁÈËÌᘤ├ÇᓫÎ/60ᐗ¥ÒÓᓬÕ1005.᝞Ö£᦮├ÇᓫÎ¥×Î1ᐗ¥ÒÓØᓬÕ251ÅÆÙÚvÎ├ÇÛ├ÇᓫÎ/xᐗ¥ÒÓ├Ç/y5.(1)Â#ÜᑏÕy(5)gx(ᐗ)ÞßḄàᦪᐵ'H}(2)d├ÇᓫÎâØᐗãÅÆ¥ÒÓḄ├Çᑭå2400ᐗæ(3)d├ÇᓫÎâØᐗãÅÆ¥ÒÓḄ├ÇᑭåᨬᜧæᨬᜧᑭåâØᐗæ22.éêᡧ஺48Ḅëì/4,y4OB=90஺POAḄ஺íABḄ=5]᝞1,ᡧîP஺ᢚGAḄ/4',ïÜ44'.(1)᝞2,d஺g4ðᔠzíBQḄ.(2)ᙠ஺Ḅò]cÐzAgBÞßḄᨬóô.(3)᝞3,dQíABḄztan/ZPQḄA.23.᝞1,ᙠ!☢#$ᙶ᪗'U)AOBC/VBC=2V3,NBOC=60஺஺/BC.Eõö÷àᦪc஺øg#@OCùúE.(1)EḄᙶ᪗/.(2)᜻Ḅüᙠýþ=5ÿᦪ.PxPxḄᚖACQ,ᦪR.y'=PQ+PR,Pᙶ᪗x.y'ᐵxḄ᝞2,ᐸᨬFஹGᙶ᪗ᑖ#ᡈஹ-V2.জ&V'x()Ḅᦪᐵ*+.ঝᑏ.ᦪḄ/ᩩឋ2.(3)341cx<4জᐵxḄ56/—4%-m=0ᨵ;&mḄ<=?.@ABὃ6᝞DEᵫ/4x-m=0Gm=M-4x,஻?JᐵxḄKLᦪ᪷NxḄ?OP&.QḄ<=?RSTᡂ;⚪6.ঝᐵxḄ56W/+2X=oᨵ;&Zᑏ.Ḅ<=?.[4⚓ᐳ22⚓

4224.᝞^_`ABC஺Jb`ᐸ44BC=60஺EᙠdeACfᙠgCBhijZER4fEG=60஺0cG.(1)ᙠk8c<T,lCE=CT,&mEFT=CG-.(2)4B=7,AE=1.জfᙠkBC&AEFGᕜoḄᨬᜧ=qᨬ@=rঝsFᐵABḄdtN.NuvwᙠNEDCḄᑁy(u{_|)&CFḄ<=?.

5~ᫀq;᪆1.ூ~ᫀ௃Dூ;᪆௃;EE⊤>02022>0,|-2022|=2022>0,-2022<0,••஺⌱⚗ᔠ⚪ᦑ⌱ED.᪷Nᦪ0@.ᑨᓽO.⚪⌕ὃᦪḄᭆd=Ḅ¡4¢£¤¥¦ᦪḄᭆ§d=ḄJ;⚪Ḅᐵ¨.2.ூ~ᫀ௃Dூ;᪆௃;E©141178ᵨ®¯sᦪ°⊤±1.41178X105,ᦑ⌱ED.®¯sᦪ°Ḅ⊤±`+ax1(PḄ`+ᐸ1<|a|<10,"᦮ᦪ.¹º”Ḅ=¼⌕½¾¿ᦪÀᡂ஺¼@ᦪÁiÂÃÄÅ”Ḅd='@ᦪÁiḄÅᦪÆÇ.È¿ᦪd=210¼஻JÉ᦮ᦪrÈ¿ᦪḄd=<1¼஻J᦮ᦪ.NÊ;~ᓽO.Ê⚪ὃ®¯sᦪ°Ḅ⊤±5°.®¯sᦪ°Ḅ⊤±`+axl()nḄ`+ᐸis|a|<10,஻᦮ᦪ⊤±¼ᐵ¨⌕¹º஺Ḅ=P§஻Ḅ=.3.ூ~ᫀ௃Cூ;᪆௃;E4(3a2)3=27a6,ᦑ⌱⚗uᔠ⚪;B.a2-a4=a6,ᦑ⌱⚗uᔠ⚪rC.-x64-%3=-x3,ᦑ⌱⚗ᔠ⚪ED.(-a)-3=-,ᦑ⌱⚗uᔠ⚪.ᦑ⌱EC.ᑖ#᪷NÓḄÔ5Ḅh°ᑣÇÖᦪ×Ô◀°Ḅh°ᑣ᦮ᦪᢣᦪÚḄh°ᑣ⌲ᑨᓽO.⚪ὃÂÓḄÔ5Ḅh°ᑣÇÖᦪÜÔ◀°Ḅh°ᑣ᦮ᦪᢣᦪÝḄh°ᑣ£sÆᐵh°ᑣJ;~⚪Ḅᐵ¨.4.ூ~ᫀ௃Dூ;᪆௃;E⌱⚗AஹBஹCuvàᑮâ᪵Ḅᩩl`äᩩᢚæ/çḄyᑖvèéÆêᔠᡠPuJdt`⌱⚗Dvàᑮâ᪵Ḅᩩl`äᩩᢚæ/çḄyᑖvèéÆêᔠ,ᡠPJdt`ᦑ⌱ED.[6⚓ᐳ22⚓

6᪷N᝞ìí`äᩩᢚæ/çḄyᑖvèéÆêᔠâí`îdt`âᩩîdtïðᑖ᪆ᓽO.⚪ὃÂdt`Ḅᭆdt`Ḅᐵ¨Jñàdt`/yᑖᢚæòOêᔠó5.ூ~ᫀ௃Cூ;᪆௃;EAᡠ{ôõuÆÇuJÇö⚗ᦑAuᔠ⚪rB.ᡠ{ôõÆÇ÷ÆÇôõᢣᦪuÆÇuJÇö⚗ᦑBuᔠ⚪rC.ᡠ{ôõÆÇÆÇôõḄᢣᦪÆÇJÇö⚗ᦑCᔠ⚪rDᡠ{ôõuøÆÇuJÇö⚗ᦑ஺uᔠ⚪rᦑ⌱EC.᪷NÇö⚗Ḅºùᡠ{ôõÆÇúÆÇôõḄᢣᦪûÆÇḄ⚗JÇö⚗OG~ᫀ.üÇö⚗'ôõḄýþÿᐵ
ᦪᐵ.⚪ὃ⚗Ḅ
⚗Ḅ“”ᡠḄᢣᦪ
᧕┯!
"ᨵ$%⚗◚Ḅ“ᐵ”জḄ()ᐵঝᦪᐵ.6.ூ-ᫀ௃Bூ0᪆௃0•.42=44,•.AD஻BC4ᑁ┯67
89:;<
ᦑA>?
@Aᔠ⚪%ᵫAB஻CD,D@ᑮ44=43,ᦑ8┯F
Aᔠ⚪%,:Z.DAM=Z.CBM,•.AD஻BC4G67
89:;<
ᦑC>?
@Aᔠ⚪%•
AD//BC,“BAD+4ABe=180஺489:;
Iᑁ6J⊡<
ᦑ£<>?
@Aᔠ⚪%ᦑ⌱B.᪷O:;9ḄᑨᳮឋSᳮT0ᑨUᓽW.X⚪ὃY:;9ḄᑨឋS
Z[:;9ḄᑨᳮឋSᳮ0⚪Ḅᐵ\.7.ூ-ᫀ௃Aூ0᪆௃0]^>_`Ḅabc1,defghi^>_j
khḄlm^>_j
ᦑdefḄ☢oc5pefghq^>_j
khḄrs^>_j
ᦑpefḄ☢oc4

7tefghpms^>_j
hq^>_j
khs^>_j
ᦑtefḄ☢oc5.ᡠuSi=S>S,23ᦑ⌱A.᪷OqefḄ☢oḄᜧ^ᐵT0ᓽW.X⚪d⌕ὃYxqefḄyzᵨᑮḄyz!cdef
pef
tefᑖ}~ᱥ`Ḅ>☢
p☢
k☢DᑮḄfj.8.ூ-ᫀ௃Aூ0᪆௃0:•"(a,2)B(-4,-3)ᙠᦪk,2a—(—4)x(—3),0Da=6,•••A(6,2),᪷OfWy
ுkx+b
ᑣxḄ<-4ᡈ0<<6,Xᦑ⌱A.᪷O4(a,2)8(-4,s3)ᙠᦪk
WD2a=(ߟ4)x(-3),TaḄ
᪷OfᓽW?xḄ.⚪ὃYᦪḄf
Zᦪfk!Ḅᙶ᪗ᱯ0⚪Ḅᐵ\.9.ூ-ᫀ௃Bூ0᪆௃0]ᖪ¢£xᐗ
¥£yᐗ
᪷O⚪%D((g-y)=12x(45-35)'805x0D:§¨ᓽ©ᖪ¢¥£155ᐗ
£200ᐗ
ᦑ⌱B.]ᖪ¢£xᐗ
¥£yᐗ
ᵫ⚪%⊤«├8├12Ḅᑭ¯
¥°ᑡ_²³
T_²³Ḅ0ᓽW.⚪ὃY´ᐗsµ_²Ḅ¶ᵨ
·>?7¸ᐵ
ᑡ´ᐗsµ_²³0⚪Ḅᐵ\.10.ூ-ᫀ௃Dூ0᪆௃0ᵫfWy¹4EB=90஺
EF=1,AB=!,♦.•ᜧ>_jABCOᵫiᐰ7Ḅ86q6js^>_jEFGH³»ᦑ4E=BF=GC=DH,]4E=%,¼8⚓
ᐳ22⚓

8ᑣᙠRtAAEB
W/4B2=AE2+BE2,ᓽ13=/+(1+¿2,0DXi=2,x=-3(ÀÁ).2Ã!MÄMN1FCÅ!N,᝞fᡠ«.imjEFGHc>_j
EGcÇ69,•.ÈEFGc7Ὺ86q6j
•••Z.EGF=NGM=45°,ᦑ4GNMc7Ὺ86q6j.]GN=NM=a,ÊIJNC=GC-GN=2-a,.
Ë“DBF2NMavtanFCB=—=-=—=——,CF3CN2-a0Da.___________444J2GM=y/GN2+NM2=(-)2+(-)2=—.ᦑ⌱D.ᵫᜧ>_jABC஺ᵫiᐰ7Ḅ86q6js^>_jEFGH³ᡂ
ᙠ86q6jAEBÍᵨÎÏᳮWTBF=AE=GC=DH=2,Ã!MÄMN1FCÅ!N,ᵫq6jEFGc7Ὺ86q6jWÐDq6jGMWÑc7Ὺ86q6j
$GN=NM=a,ᑣNC=GC—GN=2—a,ᵫtan/FCB=-=-=—=W0Da=k¥CF3CN2-a5°WDGM=y/2NM=Ó⚪ὃY>_jḄឋSஹÎÏᳮஹ┦6q6ᦪஹ7Ὺq6jḄឋSஹ>?ÄÖ×90Ø⚪Ḅᐵ\.11.ூ-ᫀ௃x>3ூ0᪆௃0᪷O⚪%
Dx—3>0,0D
x>3ᦑ-ᫀcx>3.´µ᪷ÙḄÚÛ_ᦪx-3>0.ὃY´µ᪷ÙḄ%ឋS.ᭆÝÙÞß(a20)à´µ᪷Ù.ឋS´µ᪷ÙḄÚÛ_ᦪáâãäᦪ
ᔲᑣ´µ᪷Ù%.12.ூ-ᫀ௃y

9ᦑ-ᫀcy<1.᪷O0sᐗsµ@7ÙæçèÁéêஹë⚗ஹᔠì⚗ஹᦪᓄc1WD
$%ë⚗⌕îê.⚪d⌕ὃ0sᐗsµ@7Ù
ïð⍳ò0@7ÙḄæçè0⚪Ḅᐵ\.13.ூ-ᫀ௃iூ0᪆௃0x᪛ôf᝞f:
õöᐳᨵ127W÷Ḅøù
µ᥎ḄាüõᳫḄøùᨵ6
´µ᥎ḄាüõᳫḄᭆ᳛c2ᦑ-ᫀcx᪛ôf
ᐳᨵ127W÷Ḅøù
µ᥎ḄាüõᳫḄøùᨵ6
ÿᵫᭆ᳛ᓽ.⚪ὃḄᵨᑡ⊤ᡈ᪛ᭆ᳛.ᑡ⊤⍡Ḅᑡᡠᨵ!Ḅ"#$〉ᔠ'()*ᡂḄ,-.᪛〉ᔠ()ᡈ()/*ᡂḄ,-.⚪0⌕23⚪456784567.ᵨᑮḄ:;<=>ᭆ᳛=ᡠ@AᦪCD@AᦪEF.14.ூIᫀ௃V3-1ூ᪆௃>MNBOOAC'0,᝞ᡠQ>•••STU488VU$:.CD=AB=2,4BCD=BAD=60°,UCD=Z.BAC=-Z.BAD=30°,0A=OC,AC1BD,2
.OB=-AB=1,2A0A=y/3OB=V3,•AC=2W$ᵫXYḄឋ[\>AE=AB=2,Z,EAG=/-BAD=60°,STUAEFGVU,
.EF//AG,CEP=Z-EAG=60°,Z.CEP+Z.ACD=90°,•“PE=90°,^10⚓$ᐳ22⚓

10APE=^CE=V3-1,PC=V3PE=3-V3,•••DP=CD-PC=2-(3-V3)=V3-1.ᦑIᫀ=—1.MNBOOAC'O,ᵫVUḄឋ[\CD=AB=2,BCD=ABAD=60",AACD=ABAC=^BAD=30°,OA=OC,AC1BD,ᵫbcdcUḄឋ[OB=\AB=1,OA=OB=V3,\AC=2V3,ᵫXYḄឋ[\>AE=AB=2,Z.EAG=BAD=60°,\CE=AC-AE=2>/3-2,e/CPE=90஺$ᵫbcdcUḄឋ[\PE=|CE=V3-1,PC=^PE=3-6,ᓽ\"#.g⚪ὃhVUḄឋ[ஹXYḄឋ[ஹj30஺cḄbcdcUḄឋ[ஹklmḄឋ[n:;.opqrXYḄឋ[sVUḄឋ[⚪Ḅᐵu.15.ூIᫀ௃2vᡈ6wூ᪆௃>᪷yz{TUḄឋ[\0B=W0C,Ajocoe=^OC-V3OC=3V3,•••OC=V6,OB=3VL•••BC—20C—2V6,71(V6,6V2),F(3ᔊ6}$E(4~3)$z{TUᔣkm(m>0)ᓫ0$4(+,6a)$(3v+,6&),E(4V^+m,3>/2),জAஹEᙠmy=E(k>0)/0$6V2(V6+m)=3V2(4V6+m),\m=2V6,ঝEஹᙠmy=/(k>0)/0$6V2(3A/6+zn)=3(4⍩+m),\m=-2(ᔠ⚪3$)$z{TUᔣ/km(m>0)ᓫ0,7l(V6,6V2+m),F(3V6,6V2+m)£,(476,372+771),জAஹEᙠmy=>(k>0)/0$V6(6V2+m)=476(3V2+m),\m=—2ᡈ(ᔠ⚪3$)$ঝEஹ/ᙠmy=>(/£>0)/0$3V6(6V2+m)=4>/6(3V2+m),\m=6V2,/:m=2ᡈ6.ᦑIᫀ=>2ᡈ6.᪷yAOBCḄ☢ᩩTḄ¡$ᔜ<Ḅᙶ᪗$¥⊤QkḄᙶ᪗$᪷y¦/=§ᑡ¨©$g⚪ὃªF«¬ᦪḄ/<Ḅᙶ᪗ᱯ¯$z°TUḄឋ[±²ᐵ³´$qrz{T

11UḄឋ[$⊤Q<Ḅᙶ᪗µ¶⚪Ḅᐵu.1875V1511.,1116.·Iᫀ¸--——¼1½bmE¾<஻DE=120°0,᝞1ᡠQ,•F=E,Z.FAJ=Z.ADE=120°,%FAJs>ED],AF_AJDE-DJ9AF=AB+BF=50cm,DE=60cm,AF_AJ_50_5DE-DJ-6஺-6’1504••4=%Dcm,11¾<ÀFN1ZMODAḄÁm'

12ÈEP=x,ᑣDP=2x,ᵫÉÊËᳮ\:EP2+DP2=DE2,•1•X2+(2x)2_6()2,\x=12Îcm,EP=12V5cm,DP=24V5cm,PQ=DP+DQ='tana=tan/EQP=£=Ï=Ð11tanZ_ED/=20$᝞ᡠQ$ᳮ\DQ=½^cm,DP=12Ἄcm,EP=24>/5cm,PQ=DP+DQ=4•tana=«.ta'McEnQP=EP—=24A/5=—11.yPQ312613ii••EFCᙢ☢Ḅᜳca×ḼNED/ḄÙᜧÛÙᜧ$,g187-5ä-cmz2.—ý=1+4+28—2xþ=l+4+2V3-V3=5+V3.ூ᪆௃ýᑭᵨ
ᢣᦪஹ᦮ᦪᢣᦪᑣ᪷ឋᱯḄᦪᓽ.

13#⚪ὃ&'(ᦪḄ),
ᢣᦪ+ஹ᦮ᦪᢣᦪ+,,-./)ᑣ012⚪Ḅᐵ4.18.ூ6ᫀ௃19(1-2x)2-(2x+l)(2x-1)-(34-2x)(1-2x)=1—4%+4%2—4%2+1—3+4%+4%2=4%2—1,:;=
<==4x(}2—i1=4x--14=1-1=0.ூ1᪆௃ᐜ@ABCᔠEFG⚗ᯠJKxḄLᐭᓄOJḄPQRᓽ16.2⚪ὃ&'᦮ḄSᔠ)-ᓄOUV,-ᙢQR01⚪Ḅᐵ4.19.ூ6ᫀ௃1:(1)Y0448஺Ḅ[ᑖ],CBD=ABD=20°,,:BC=CD,AzD=zCBD=20°,:.BCD=180°^4஺^Z.CBD=180°—20°-20°=140°_(2)••BC=CD=4,•D=Z-CBD,:.D=ABE=CBD,:AB஻CD,,.%CEDsAEB,CECD4•~~~=-ߟ0=—=L,AEAB2`4E=x,ᑣCE=2%,4C=3,ᓽ;+2%=3,AX=1,•CE=2.ூ1᪆௃(1)ᐜᑭᵨd0efBCḄ[ᑖ]gᑮNCBD=^ABD=20°,CᑭᵨiῪkḄឋgᑮND=CBD=20஺ᯠJ᪷lkᑁnoᳮNBCDḄqᦪ_(2)ᐜᑭᵨ4=^ABE=grsB஻C஺ᑣuv4CEDSRAEB,Cᑭᵨwxygᑮz=2,`4E=x,{iJCE=2x,ᑣᑭᵨ4c=3gᑮx+2x=3,ᯠJ1|}gᑮCEḄ~.2⚪ὃ&'[ᑖ]9Ḅ[ᑖ]KᑖᡂwiḄᑖ.ὃ&'iῪkḄឋnwxkḄᑨoឋ.20.ூ6ᫀ௃10860014⚓ᐳ22⚓

14(2)஺PᡠᙠᡧkḄᙊ0x360°=108°_600ᦑ6ᫀ9108_(3)᰿ᔛBPḄᦪ93000x¡=600().600ᦑ6ᫀ9600.(1)ᐜ¢᪵¤&Ḅ¥ᦪᵨ¥ᦪ¦@§¨A,C,஺PḄᦪḄnᓽgᑮ§¨8PḄᦪª«⊡ᐰ®¯_(2)ᐜ஺PᡠᓰḄ±ᑖyᯠJ360஺x±ᑖyᓽ஺PᡠᙠᡧkḄᙊ_(3)᪷l᪵2²¥³ᓽ.2⚪ὃ&'ᩩk®¯ᡧk®¯³µ'ᵨ᪵2²¥³Ḅ¶·஺PᡠᓰḄ±ᑖy01⚪Ḅᐵ4.21.ூ6ᫀ௃19(1)ᵫ⚪¹g9y=100-2(x-60)=-2x+220(60<%<110)_(2)ᵫ⚪¹g9(-2x+220)(x-40)=2400,1g9x—70ᡈx-80,69:├ÁÂ70ᐗᡈ80ᐗ<ÄÅÆḄ├ÁᑭÇា2400ᐗ_(3)`ÉÊËÄÅÆḄ├ÁᑭÇWᐗᵫ⚪¹gw=(-2%+220)(%-40)=-2x2+300x-8800=-2(x-75)2+2450,v—2<0,:x=75

15(3)ᑭᵨØ|gÙᱥ]Ḅᨬᜧ#<ÛÜÝḄÞ.2⚪ß⌕ὃ&Ḅ0ᦪḄáᵨ᪷l⚪¹ᑡyxḄᦪᐵâ01⚪Ḅᐵ4.22.ூ6ᫀ௃19(1)᝞¯2äåæ0Q,A¯2vsinnz.PQO=^=|,:.PQO=30°,••:è஺è4éᔠ-PQ//OB,••Z.QOB=PQO=30°,OjAA1/307TX42•BQmtz=--=-n+1OU3(2)᝞¯1äåæB4',PB,`4᝞êPQ×H.¯1,••ëᡧkìPQᢚîèAḄïáè4,PQ1AA',AH=HA',AP=0P,
.PH//0A',0A'1AA',•••AAA'O=90°,ᙠRtðP0BäPB=70P2+OB2=V22+42=2᎖•••PA'=\0A=2,BA'>PB-PA',BA'Ḅᨬe2ò^2_(3)᝞¯3äóQH_L34×ôåæ0Q.¯3•••Q0õA8Ḅäè,16⚓ᐳ22⚓

16:.AQ=BQ,■■4AOB=90°,•••QOH=45",OH=HQ=2V2,PH=OH-OP=2V2-2,Atanz.APQ=—=.*.=2+V2.YPH2V2-2ூ1᪆௃প᝞¯2äåæ஺Q.·÷uv=PQO=30஺ᓽ1øù⚪_(2)᝞¯1äåæBA',PB.`A4'êP஺ת᪷lúïûḄឋkḄüᐵâᓽ1øù⚪_(3)᝞¯3äóQH1OA×H.åæOQ.✌ᐜuvAOQH0iῪþk1þk4PQHᓽ1øù⚪.2⚪ὃ&ᙊÿᔠ⚪ஹᣚஹῪḄᑨឋஹ┦ᦪஹᳮ⚪Ḅᐵ!"#$%ᵨ'()᪀⌼,-⚪./0ὃ2⚪.23.ூ5ᫀ௃(9:ூ᪆௃<(1)tanZfiOC=tan60°=ḰOB.•>=ᔳOB.•OB=2,C(2,2V3),D(2,V3),ABCDᦪ᪆EFy=B)OCḄ᪆EFy=kx,2GH஺(2,⍩)LᐭN=PQ<Q<=2V5,••BCDᦪ᪆EF

17ᦑ5ᫀF<(V2,V6)^(2)জ•••BCDᦪ᪆EFy=ᓩ)0CḄ᪆EFy=>x,HPiᙶ᪗Fx,:.R(x,1,<2(x,V3x),.♦.nx>0py'=PQ+PR=y/3x+nx<0py'=PQ+PR=-y/3x--ঝᵫst0,Q0,Q4ᡈm<-4V3,ᡠ¡Ḅ¢¤F4>0ᡈx=4py>0x=È{pyW0³Ê¦ᓽt.Ë⚪BCDᦪஹÌCDᦪஹU}ᦪḄᔠ⚪ὃÍΫ¬ᦪḄÏᵨ¦ᦪs[ḄHᙶ᪗U}ᦪḄឋÐÑᦪÒᔠÓÔḄÏᵨ5Ë⚪Ḅᐵ.Y18⚓ᐳ22⚓

1824.ூ5ᫀ௃(1)×ØZ•ÙÚABC஺Û:AB”CD,v/.ABC=60°,♦BCG=^LABC=60°,Ü48CÚ•Z,ABC=ACB=60°,••CE=CT,.ÜCETÚ:CE=ET,Z-ETC=TEC=60°,FTE=180°ZETC=180°-60°=120°,Z-GCE=GCT+Z.TCE=600+60°=120°,•FTE=GCE,vZ.FEG=60°,Z.TEC=60°,:./-FET+dEG=Z.GEC+ZTEG,••Z.FET=Z.GEC,ᙠÜFETAGEC0Z-FET=Z.GECET=CE,/FTE=GCE•••ÜEFTAEGC(4S4),•FT=CG+(2)<জ᝞snHFH5Þᔠp•••Z.FEG=60°,FEGÚßᳮtQnHàᙠ8cÚpAFEGᙳÚ,nFE_LBEpEFᨬ᝞s

19CE=AC-4E=7-1=6,•ACF=60°,CEF=30°,CF=-CE=-x6=3,22EF=>JCE2-CF2=V62-32=373,•••ÚFEGḄᕜãᨬ{F<3FE=9V3,ᑣCH=3,EH=3ᑁBH=BC-CH=7-3=4,ᙠRtABHE0BE=y/BH2+EH2=J42+(3V3)2=V43>6,ÊpAFEGḄᕜãᨬᜧᨬᜧF<3BE=3å••.ÜFEGḄᕜãᨬ{F9>ᨬᜧF3å^æCM14B/M,HFᐵ/ABḄHNᙠQC,,
OF=ON=CM,CM=BC^ABC=^BC=^,Y20⚓ᐳ22⚓

207•ᔆOF=V—s2ᙠR£48஺F0/-OBF=^ABC=60°,7)/30F.•BDFL=------=-7~=T-=7n,Sin6082CF=14^nHNᙠOEp᝞sçºBN,••HNHbᐵ/AB•ABN=4ABC=60°,v^LBAC=60°,♦ABN=/-BAC,BN//AC.AE_APa"BN-BP'-AD//BC,/.%ADE^LCME,%APD^LBPM,AD_AE_1AP_AD••———————MCEC6PBMB71•——=MC6•MC=42,MB=MC-BC=42-7=35,.AP_7_1-=—=-fBP3551_1BN5:BN=S,BF=BN=5,CF=BC-BF=2,2

21Ë⚪ô⌕ὃÍÛḄᔠ⚪ö÷ÐÑÛḄឋÚḄឋøùḄᑨឋᐰḄᑨឋ¼⚪Ḅᐵ.Y22⚓ᐳ22⚓