2021-2022学年湖南省张家界市中考适应性考试数学试题含解析

《2021-2022学年湖南省张家界市中考适应性考试数学试题含解析》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。

2021-2022
ᓭḕ᪥ὃ〉ឋὃᦪ⚪⚗1.ᔁὃ!"Ḅ$%ஹ'ὃ()ஹὃ*)+,-).ᑏᙠ⚪ᔁ+⚪ᓱ2஺ᵨ2B56ᔁ78B.9ᙠ⚪ᓱ:-;2஺ᩩ=ṹ?@ᙠ⚪ᓱA2B"ᩩ=ṹ?@ᜐ"o2.G⌱I⚪J⌱KLM⚪ᫀOᵨ2B56P⚪ᓱ2Q⚪R⌱⚗ḄᫀSTU9VW᝞◤ᦋ[ᵨ\]^_`Oa⌱9ᐸcᫀ஺ᫀdeᙠ⚪ᔁ2஺3.f⌱I⚪gᵨV⁐ijḄk6ᡈmi6Gᫀgᑏᙠ⚪ᓱᔜ⚪Rᢣpqrᑁ:-;2W᝞◤ᦋ[ᐜᑜᣵwᩭḄᫀᯠOaᑏ2zᫀWd'{ᵨ56+9ᦋ|஺dᢥ~2⌕Gᦔ஺4.ὃg(⚪ᓱḄ᦮஺ὃOᔁ+⚪ᓱ஺ஹ⌱I⚪ᜧ⚪ᐳ12M⚪LM⚪4ᑖᐳ48ᑖ.ᙠLM⚪¹KḄº⌱⚗»ᨵ⚗½ᔠ⚪R⌕Ḅ.µ1.᝞=ABCDAB=10,BC=5,U1:,F,G,Hᑖ¿ᙠ=ABCDᔜ2ÀAE=CG,BF=DH,ᑣº=EFGHᕜḄᨬM
AEB-------------1cA.575B.105/5C.10^/3D.15^/32.ᑡᯠḄ
A.ᡭᵯ¢£¤ᙠ¥¦%z¨B.ÁᨌḄÃ□ÅÆÇᓣÉC.©£ª«¬®ᙢO¤☢±2D.ÊOᜩÌKÍÎ⇧3.᝞a//b,U6ᙠ²³b2§.AB±BC,Nl=40஺ÐÑN2ḄÒᦪ
A.40°B.50°C.60°D.90°4.´´Ḅ
A.1B.-1C.3D.-35.ᑡᯠµA.¶ab=0,ᑣa=0JB.¶|a|=4,ᑣ2=±4C.¸=ḄᑁB+1000஺

1D.¶Ó²³ÔÕÖᩩ²³ᡠØᑣÙ-B:Ú6.᝞ÛܳÝAB,ᑖ¿~A,BᙊßᜧàLABáâGãäåãḄUæᑮ²³1,ᙠ²³12èU2C,{æNCAB=25஺éACêUM,ᑣNBCMḄÒᦪµM,aAB/IfA.40°B.50°C.60°D.70°=8,ᑣf+4—6Ḅ7.ÛÜx)XXA.60B.64C.66D.728.cos45஺Ḅµ£BV2A.Lr•----D.12229.᝞ÚῪÖB=48஺ì8஺Ḅ451,☢í12cm2,Ὺ48Ḅᚖ²ïᑖ³EðABàUE,ACàUF,¶஺8c2ḄUM³ÝEF2UᑣABOMḄᕜᨬMµA.5cmC.8cmD.10cm10.᝞Ûܲ³ABஹCDÔ²³ACᡠØAB/7CD,Eï☢ᑁñUUEdᙠ²³ABஹCD,AC2µ,óNBAE=a,ZDCE=p.ᑡᔜôজa+0,ঝa-0,ঞp-a,@360°-a-p,ZAECḄÒᦪõeµA.জঝঞB.জঝটC.জঞটD.জঝঞট11.ᐗ÷øÇùmx^+mx--=0ᨵÓ:Úúᦪ᪷ᑣMḄ
2

2A.0B.0ᡈ-2-2D.212.ü
÷ᨴþÿᙢᖪ40%,ᙠ“ᵨᩭḄᵨᩭ᮴Ḅ”ᢣᓽ30%.x,ᑣ!"#ᨴ%&'()A.(1+40%)x30%xB.(1+40%)(1-30%)xX________x______C(1+40%)X30%D.(l-30%)(l+40%)#ஹ,-⚪/(0ᜧ⚪ᐳ634⚪54⚪4ᑖᐳ24ᑖ.)13.89:#;<ᦪ>?ḄᨬAᙶ᪗DAEᑏGH3Iᔠ⌕LḄ<ᦪM᪆O/.314.᝞>ᙠRtAABCZC=90°,AMBCQRḄScosZAMCT!ItanZBḄV.15.WᐵYxḄHᐗ#;[\*2+„1*+2஻=0ᨵH3᪷2,ᑣ,஻+“=.16.᝞>ᙠcQdABCDACஹBDefSAC=AD,BC>AB,AB஻CD,AB=4,BD=2ஹgtanNBAC=3ஹq,ᑣShBCḄi.17.jklmnopqAᔣRḄᭆ᳛.18.᝞>஺஺Ḅvw00_1_x43YAC,yzA஺{|i}஺஺YAE,yzEC.WA3=8,CD=2,ᑣECḄi.~ஹM⚪/(0ᜧ⚪ᐳ934⚪ᐳ78ᑖMᑏGᦻஹ\ᡈ.19.(6ᑖ)᝞>ᙠABCADBCQRḄSEADḄAAABCḄS}BEḄ|iSYAF,yCF,

3D(1)L/AF=DC(2)WABJ_AC,ᑨcQdADCFḄd{Ḅz.20.(6ᑖ):ᖪ⃩ᐹ89ᡂᢇ¢£kḄᓫ20ᐗ.¥¦§¨/├ªᓫ30ᐗkᨴ├ª«230¬├ªᓫ5R®1ᐗᨴ├ª«¯°±10¬²5¬ᐹª³Y40ᐗ.5¬ᐹḄ├ªᓫR®´xᐗk(xµ᦮ᦪ)ᨴ├ªᑭ¸yᐗ.Ly¹xḄ<ᦪᐵºO{»ᑏG¼½«xḄ¾VÀ.5¬ᐹḄªÁ±ᐗkᨴ├ªᑭ¸ា2520ᐗÄ5¬ᐹḄªÁ±ᐗkÅÆᨴ├ªᑭ¸ᨬᜧÄᨬᜧḄᨴᑭ¸Â±Ä21.(6ᑖ)᝞>ᙠ4x4Ḅµ[d[ÇAABCÈADEFḄ⚔ApᙠQi1Ḅ4µ[dḄ⚔AR.,-/ZABC=°,BC=ÊᑨAABC¹DEFᔲÌÍ{Ḅz.22.(8ᑖ)᝞>ᙠABCAB=AC,AEfᑖSBMᑖNABC}AEYAM,BஹMmAḄ(30}BCYAG,}ABYAF,FBា஺஺Ḅ»w.(1)ᑨAE¹஺OḄÎÏᐵº{ᳮᵫÊ(2)WBC=6,AC=4CEkL
30Ḅvw.23.(8ᑖ)᝞>ᙠ[ÇÒRÓ☢»fᙶ᪗º534µ[dḄQi1.(1)ᙠ>1ÕGA08ᐵYxÖe×ḄAiOSi,{ᑏGA4,BiḄᙶ᪗Ê(2)ᙠ>2ÕGAOBØA஺Ùk┐ÛÜ90஺ḄA2O52,{LGSh05ÝḄ☢Þ.

4224.(10ᑖ)ᖪ├ᢇᙳᜩ├20ᑭ40ᐗ᡽ᜧ├ᑭ!"#$%ᖪ&'()〉+Ḅ-./012345᝞7-.1ᐗᖪᙳᜩ892:ᖪᙳᜩ⌕ᑭ1200ᐗ<-.8#ᐗ=25.(10ᑖ)᪥?@ABCDEFᔜHIJKL)Mᑖ@ANOBPQRS@AḄQRᡂUᢥ᪗XY<Z[ஹ]^ஹ_`ஹa_`bScIdeᕒᙠhQRᦪjkᑴᡂ⊤n45Z[ode4p]^ode6p,rs_ntuFvwᡂ᝞⊤xᢥuyᦪj?z{ᑡᔜ⚪:@ABPQRᡂUᔜcpᦪde⊤BPcI2᦮pᦪ2᦮pᦪZ[8—]^16—_`12—a_`4—ᔠe40—(1)ᑏde⊤;(2)᪷j2᦮ᦪj⊡ᐰᩩwde(3):᪥ᐳᨵ@A1500px9᪥BPQRcI“Z[”Ḅpᦪ.@ABPQRᡂUcpᦪde24័_________]ZcI`^[

526.12ᑖß᝞>AHSh—ḄA—τ—f—=—
L/—=—.AEBCD27.12ᑖß᝞>ᙠádA5CQefSACḄᚖ»ᑖSEFᑖã}AOஹAC.3cYAEஹ0ஹF,yCEÈAF.1¦L/cQdAECäådÊ2¦WA8=4,BC=8,LådAECäḄᕜi.çὃᫀHஹ⌱ë⚪ì0ᜧ⚪ᐳ1234⚪54⚪4ᑖᐳ48ᑖ.ᙠ54⚪íGḄc3⌱⚗ïᨵH⚗Iᔠ⚪ð⌕LḄ.ß1ஹBூ
᪆௃AEᐵYBCḄe×AESyEG}BCYAF,ñkcQdEFGHᕜi¾ᨬ4VAGGGUABYAG',᝞>ᡠ,E'

6VAE=CG,BE=BES.•.EG=AB=10,GG=AD=5,:.EfG=^E'G'2+GG'2=575Cb¯wEFGH=2E'G=10,ᦑ⌱B.ூ³´௃¶⚪ὃ3¸Y¹-ᨬ¼½¾¿⚪ÀwḄឋCc᪷j⚪ÂuyÃÄÅÆs?⚪ḄᐵÈ.2ஹBூ᪆௃ᑖ᪆Ê᪷jËᯠÍஹaPÍஹJKÍḄᭆÏÐÑᔜÒÍÊAஹᡭÔᵯÖKuᙠ×ØÚÛP4AÜPa4AsJKÍᦑ¶⌱⚗┯ßBஹàᨌḄâ□FäåᓣçsËᯠÍᦑ¶⌱⚗uyCஹJKèéêëìᙢPu☢ïðÜPñ☢ïðᦑ¶⌱⚗┯ßDஹ{òᜩó95ô⇧P4AÜPa4Aᦑ¶⌱⚗┯ß.ᦑ⌱B.3ஹBூ᪆௃ᑖ᪆Ê᪷j“OÆḄឋCஹöḄ'÷øᚖúḄ'÷”NOᑖ᪆eᓽ.ü?ÊVAB1BC,.•.ZABC=90°,•³BᙠúÆbð.••Zl+ZABC+Z3=180°,.*.Z3=180o-Zl-90°=50°,
.N2=N3=50°.ᦑ⌱B.

72ó3³´Êþ៉“
Ḅឋஹ
ḄᚖḄ”⚪Ḅᐵ.4ஹBூ᪆௃ᑭᵨ᪷Ḅᓄ!"ᫀ.ூ௃$%-1
'-I,V-i="ᦑ⌱(B.ூ*+௃-⚪.⌕ὃ12᪷345᪷Ḅ⚪ᐵ.35ஹBூ᪆௃ᑭᵨ678Ḅឋ9:;<=Ḅឋ
Ḅឋᑖ?ᑖ᪆!"ᫀ.ூ௃(AஹAab=O,ᑣa=0,CDEF3ᦑ-⌱⚗┯IJBஹA|a|=4,K!|a=±4,OᯠEF3ᦑ-⌱⚗JCஹQR;<=Ḅᑁ%1000஺3UVWEF3ᦑ-⌱⚗┯IJDஹAXYZ[ᩩᡠ^3ᑣ_`ab3CDEF3ᦑ-⌱⚗┯IJᦑ⌱:B.ூ*+௃-⚪.⌕ὃ12EFḄᑨ?345ᔜf⚪Ḅឋ⚪ᐵ.6ஹBூ᪆௃(•.•ᵫijVk/mA8Ḅᚖ
ᑖ3
.AC=BC,
.ZCAB=ZCBA=25°,
.ZBCM=ZCAB+ZCBA=25°+25°=50°.

8ᦑ⌱B.7ஹAூ
᪆௃1,11,x—R=8õᐭDO=/+#H2—4=(x-±)2-4,øÅù.xx~Xூ
௃M/úx—=8kxDO=X2H--y—2—4X=(X--)2-4x=82-4=64-4=60,ᦑ⌱A.ூAü௃0⚪þ⌕ὃ¦ᑖOḄÿ
⚪Ḅᐵᐰ.8ஹCூ
᪆௃⚪⌕ᱯḄᦪḄ⚪⚪Ḅᐵ៉ᱯḄᦪ.ூ
௃cos45°=2ᦑ⌱$C.ூ&'௃⚪ὃ*ᱯḄᦪ.9ஹCூ
᪆௃+,AO,ᵫ.AA5C/Ὺ1&஺8c3Ḅ4&ᦑAOJ_8C,5᪷71Ḅ☢9:Ḅ;5᪷7EF<=A5Ḅᚖ?ᑖ

9᝞O+,AO.•.,,ABC/Ὺ1&஺5c3Ḅ4&...AOL8C,...SAABC=LBCAO=LX4XAZ)=12,J$AO=6(cm).22,
EF<=ABḄᚖ?ᑖ<&8ᐵ.?

10ூ*+௃-⚪.⌕ὃ1
Ḅឋn᜜ᳮ3⚪Ḅᐵ᪷q⚪rᑖstuv.11ஹCூ᪆௃ᵫwᨵXRabḄyᦪ᪷3!ᑮ᪷Ḅᑨ?|b}0,~"mḄ83ᓽV!ᑮ⚪rmḄ8.ூ௃•.•Qᐗwmx'+mx-1=0ᨵXRabyᦪ᪷32,=ml-4/nx(---)=ml+lm=(),2!(3஻=0ᡈ3஻=T,/n=0Uᔠ⚪r3ᑣ-1.ᦑ⌱C.ூ*+௃-⚪ὃ12᪷Ḅᑨ?|3᪷Ḅᑨ?|Ḅ8ᜧ}0,wᨵXRUabḄyᦪ᪷J᪷Ḅᑨ?|Ḅ8b}0,wᨵXRabḄyᦪ᪷J᪷Ḅᑨ?|Ḅ8}0,wᨵyᦪ᪷.12ஹDூ᪆௃᪷q⚪rV9ᵨaḄᦪ|⊤"ᨴ3⚪!9.ூ௃ᵫ⚪rV!3xᨴ%(x4-(l-30%(1+40%)=(30%)(]+40%)ᦑ⌱(D.

11ூ&'௃⚪ὃ*oᑡqᦪZ⚪Ḅᐵrs⚪tᑡ:uvḄqᦪ.wஹxy⚪$zᜧ⚪ᐳ6}G⚪~G⚪4ᑖᐳ24ᑖ.13ஹy=—x2/ூ᪆௃᪷7wᦪḄOᨬ&ᙶ᪗&AJᑮaVO,b=O,c=O,ᡠ᪆aVO,b=O,c=OᓽA.ூ௃$᪷7wᦪḄOᨬ&ᙶ᪗&AJᑮa<0,b=O,c=O,᝞$y=-x2.ூ&'௃H⚪ឋ⚪ὃ*ᦪOឋYḄᔠᵨCὃ*ᡠᦪḄᐭᳮஹlᐹᨵ9᩽Ḅt.214ஹ-3ூ᪆௃3᪷7cosNAMC=mMC=3x,AM^5x,ᵫfᳮ:ACḄ;l᪷74<⊤¡:BCᓽA.ூ௃3$VcosZAMC=-,5MC3cos/.AMC=-----=—,AM5MC=3x,AM^5x,
••ᙠR3ACM4AC7AM2-MC?=4XVAMBC3£Ḅ4<.\BM=MC=3x,ABC=6x,..AC4x2ᙠRtAABC4tanNB=----=—=W,BC6x32ᦑZᫀE$y.ூ&'௃

12⚪ὃ12┦[¡ᦪ8Ḅ~¢⚪3⚪Ḅᐵ£¤┦[¡ᦪḄ.15ஹ-1ூ᪆௃᪷qQᐗwḄḄ4x=lᐭx௃+mx+ln=()!ᑮ4+lm+ln=0!n+m=-l,ᯠ§ᑭᵨ᦮©ᐭḄjª«.ூ௃VI(n^O)ᐵ}xḄQ•ᐗwxi+mx+ln=0ḄQR᪷3.,.4+lm+ln=0,/.n+m=-l,ᦑᫀ%T.ூ45௃⚪ὃ12QᐗwḄ(᪷)(W®Qᐗw¯°X6ூ᪆௃iDE1AB,ºBAḄ»¼}E,iCF±AB,V!DE=CF,½AC=AD,V¾RtAADE^RtAAFC,V!AE=AF,NDAE=NBAC,᪷qtanNBAC=NDAE=,VÀDE=3஽a,AE=a,᪷qÂÃᳮV~aḄ83ᵫ-V!|f=A3ஹ-BF,CFḄ8.Ä᪷qÂÃᳮ~BCḄ¼.ூ௃᝞Æ(iDE_LAB,ºBAḄ»¼}E,iCF_LAB,VAB/7CD,DE_LABJ_,CF±AB/.CF=DE,½AC=ADARtAADE^RtAAFC.*.AE=AF,ZDAE=ZBACVtanZBAC=3ஹ,7J

13...tanNDAE=3ஹq.•.ÀAE=a,DE=3ஹÇᙠRSBDEÉ3BD2=DE2+BE2.*.52=(4+a)2+27a2!ai=La2=j(Uᔠ⚪rÊ)pAAE=1=AF,DE=3ஹ,CF/.BF=AB-AF=3ᙠRtABFCÉ3BC=——-==6ூ*+௃⚪[=¢⚪3ាÌᙢ᪀ÏÐÑ⚪Ḅᐵ3ᑭᵨ[=ᐰb¾Ó

14VOD±AB,/.ZACO=90°,1AC=BC=-AB=4,2ᙠRtAACO4,ᵫfᳮJ$r2=42+(r-2)2,r=5,AE=2r=10,••,AEE஺OḄ?§NABE=90஺ᵫfᳮJ$BE=6,ᙠRtAECB4EC=^BE2+BC2=A/62+42=2V13•ᦑZᫀ$ூ&'௃ὃ*Ḅᚖ§fᳮfᳮ᪷7⚪tj:¨©<᪀⌼:?1ᑭᵨfᳮZH⚪Ḅᐵ.ஹZ⚪$(ᜧ⚪ᐳ9}G⚪ᐳ78ᑖZvᑏ:ᦻ°±rஹ²riᡈ´µ¶·.19ஹ(1)¸᪆(2)¸᪆ூ᪆௃(1)ftJgAASffiAAFE^ADBE,¹:AF=BD,ᓽAJ:Zᫀ.(2)J:^31ADCFc^31᪷7?1º3£4<ឋYJ:CD=AD,᪷7»1Ḅᑨf¹:ᓽA.ூ௃$(1)²r$VAF/7BC,:.ZAFE=ZDBE.YEADḄ4&ADBC3£Ḅ4<.♦.AE=DE,BD=CD.ᙠAAFE^QADBE4VZAFE=ZDBE,ZFEA=ZBED,AE=DE,/.,AFE^ADBE(AAS)AF=BD./.AF=DC.(2)^31ADCF»1²r᝞h$VAF/7BC,AF=DC,

153ì<=ADCF
ì<=.VAC±AB,ADí?ᦪḄ@▭Bᵨ⚪ḄᐵE
ᑖ᪆⚪HᑮᐵEJKLMN?ᦪḄ᪆OᵨᑮḄPQ4

16
=>?ᦪḄឋSTUᐗ=>VW.21ஹ(1)135;2>/2.(2)AABC^ADEF.ூ᪆௃(1)᪷)YPᩩ[ᔠ\]1^MNNABCḄ_ᦪ᪷)AABCTADEFḄ⚔4aᙠcd1ḄeVfḄ⚔4gᑭᵨhi!ᳮᓽ1MNlmBCḄd(2)᪷)nopqfḄᑨ!!ᳮᜳqntuBcᡂwxᓽ1yz{ABC|ADEFno.ூ}௃(1)ZABC=900+45°=135°,==a=2;ᦑᫀ135;20.(2)AABCs^DEF.yz•.•ᙠ4x4ḄVfV]AABC=135°,ZDEF=900+45=135%=ZABC=ZDEF.VAB=2,BC=2gFE=2,DE=R,AB_2_ᔊBC_2&_ব••=""=7Z,=------=VDEV2FE2:AABCsADEF.ூ45௃ὃ;hi!ᳮ^nopqfḄᑨ!nopqfḄᑨ!V
⚪ḄᐵE.22ஹ(1)AE|஺Onᑗ.ᳮᵫ᪆.(2)2.1ூ᪆௃(1)OM,ᑣOM=OB,ᑭᵨḄᑨ!TឋSᑮOM஻BC,ZAMO=ZAEB,ᑭᵨtῪpqfḄឋSTᑗlḄᑨ!ᓽ1y(2)஺OḄr,ᑣAO=12-r,ᑭᵨtῪpqfḄឋSTqpqfḄᨵᐵPQᑮAB=12,᧕y,AOM-AABE,᪷)nopqfḄឋSᓽ1M.ூ}௃(1)AE|஺Onᑗ.

17ᳮᵫ᝞:OM,!|OM=OB,.,.ZOMB=ZOBM,TBMᑖ/ABC,.*.ZOBM=ZEBM,:.NOMB=NEBM,...OM஻BC,.".ZAMO=ZAEB,ᙠ{ABCAB=AC,AE
qᑖl,.•.AE_LBC,ZAEB=90°,ZAMO=90°,AOMlAE,.♦.AE|஺Onᑗ(2)ᙠ{ABCAB=AC,AE
qᑖl,.'.BE=-BC,ZABC=ZC,2IVBC=6,cosC=—>4BE=3,COSNABC=L4ᙠ{ABEZAEB=90°,DC3DLS~r~.•AB=----------------=1=12,cos/ABC—4஺஺Ḅr,ᑣ40=12-VOM/7BC,/•,AOM<^AABE,

18.OMAO••---=---9BEAB.r12-r••U=312r=2.1,.•.(DOḄ2.1.523ஹ(1)Ai(-b-2),Bi(2,-1)(2)—.4ூ᪆௃(1)᪷)¡u¢ឋS4ᐵ£x¡u¢¤ᙶ᪗§¨ᙶ᪗©nªᦪ;(2)᪷)¬§ᣚḄឋSஹᡧf☢±²O³´.ூ}௃(1)᝞µᡠ·(2)¸4AOB¹4஺º┐¬90஺Ḅ4A2OB2᝞µᡠ·:OB=S+*=¼,lmOB½¾Ḅ☢±90ஹx(6)=5ᐔ3604ூ45௃À⚪8⌕ὃ;<µfḄ¬^Áo§ᣚT¡u¢§ᣚtPQ᪷)⚪NuB4ᙶ᪗ÁÂ
⚪ᐵE.

1924ஹÃÄBÅ1ᐗ.ூ᪆௃ᑭᵨÃ⊟ᙳᜩNḄᦪxÊᑭ=ᜩ├ËÌÃ⊟ᑭ%ᑡNVWᓽ1.ூ௃ÃÄBÅxᐗ.᪷)⚪(40-x)(l+2x)=110,᦮ᳮX2-30X+10=0,XÎ10,X2=l.•••“᡽ᜧ├ÑÒÓÔÕ”.*.X1=1OBx=l.ÃÄBÅ1ᐗ.ூ45௃À⚪8⌕ὃ;VWḄBᵨᑭᵨ×7ᦪÑᐵØᙳᜩNḄᦪXÊᑭ=ᜩ├Ḅᑭ%
⚪ᐵE.25ஹ(1)122212450(2)}᪆(3)1.ூ᪆௃(1)MNᔜÚḄÛᦪ⊡ᐰ⊤]ᓽ1(2)᪷)ß᦮àḄᦪ)⊡ᐰᩩfá³µᓽ1(3)᪷)“âã”ÛᦪᓰḄåᑖwæ^1500ᓽ1ᑮ[ç.ூ௃(1)è⊤᝞éêtëß᦮ìÛᦪß᦮àÛᦪíî812ïð1622]1212]44ᔠ³4050ᦑᫀ122212450

20(2)⊡ᐰᩩfá³µ᝞µᡠ·:ñòéIóôõᡂöt>Ûᦪá³µ(3)÷øḄñòéêôõḄíî᳛24%,ᑣú᪥éêôõ“íî”ḄÛᦪ1500X24%=1(Û).ூ45௃7⚪ὃ;<á³⊤|ᩩfá³µḄPQ4⚪ḄᐵE
Ḅá³⊤|ᩩfá³µḄnᐵPQ4.26ஹ}᪆ூ᪆௃ᑭᵨ----yz--------=-------ᓽ1üý⚪.ூ}௃yz1•=
lm==Ḅ4ᙠ{===T{==U,___g_________—AU••-----———

21ூ45௃7⚪ὃ;ᐰtpqfḄᑨ!TឋS⚪ḄᐵE
þÿᐰḄᐰḄᩩὃὃ⚪.27ஹ(1)᪆(2)1ூ᪆௃(1)᪷ASAAAEO#ACFO᪷ᐰOE=OF,!"᪷EF_LACᓽ$%(2)᪷&'ᚖ)ᑖ&ឋ,AF=CF,-4F=x,AF=CF=x,BF=S-x.ᙠRtAAB/ᵫ123ᳮ5xḄ6ᓽ$ᑮ89.ூ௃(1)ACḄᚖ)ᑖ&
.AO=OC,ZAOE=ZCOF=90°.•A3C஺=
.AD//BC,/.ZEAO=ZFCO.NEAO=ZFCOᙠA4E0>ACFOV\AO=CO,.,.,AEO^ACFO(ASA)
.OE=OF.ZAOE=2C0F?OA=OC,.•.AECF!.?...!AECᔆ%(2)-AF=x.TE/ACḄᚖ)ᑖ&
.AF=CF=x,BF=S-x.ᙠRtAAB/ᵫ123ᳮAB2+BF2=AF2,/.42+(8-x)2=Ax=5,B4/=5,...%AEC/ḄᕜDE1.ூGH௃J⚪ὃKL123ᳮ=ឋ,!Ḅᑨ3%Ḅᑨ3ᐰḄឋ,>ᑨ3!&Ḅឋ,NOGḄPᔠRᵨᵨLTUVW.