2022届福建厦门初中数学毕业考试模拟冲刺卷含解析及点睛

《2022届福建厦门初中数学毕业考试模拟冲刺卷含解析及点睛》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。

2021-2022ὃᦪᔁ⚗1.⚪ὃᐜḄஹὃᑏᩩ"ṹ$%&ᙠὃ()ᩩ"ṹ%&*஺2.⌱-⚪./0ᵨ2B23456⌱-⚪./0ᵨ0.5789⁐;<Ḅ=;3>ᑏ;?@᦮ஹ3<஺3.Bᢥ᯿⚪EFᙠᔜ⚪HḄ⚪*IᑁKLM⚪*I>ᑏḄᫀOᦔ5ᙠ₝RSஹ⚪ᔁT⚪Oᦔ஺4.Uᢝᓱ☢YZ⌕ᢚ]Z⌕^ẚஹ^`Z0ᵨ4ᦋbஹcdeஹfSᑐ஺hஹ⌱-⚪(jᜧ⚪ᐳ12mn⚪on⚪4ᑖᐳ48ᑖ.ᙠon⚪rMḄsm⌱⚗tᨵh⚗vwᔠ⚪H⌕yḄ.)1.{|}ᨴᙢᖪ40%,ᙠ“vᵨᩭḄZvᵨᩭ᮴Ḅ”ᢣᓽ30%.x,ᑣ{|}ᨴ()A.(1+40%)x30%xB.(1+40%)(1-30%)xx________x________C(1+40%)X30%D.(l-30%)(l+40%)2.s"ᜧnᐰ¡¢Ḅn£¤"ᓱᱏ(᝞§জ)Z©]ᙢªᙠhm«☢£¤"(
acmbcm)Ḅ¬«(᝞§ঝ)¬«☢¯°ᓱᱏ⌚²Ḅᑖᵨ▢´⊤.ᑣ§ঝ¶ᙽ▢´ᑖᕜ£¹v()A.4acmB.4(a-b)cmC.2(a+b)cmD.4bcm3.᝞§ᙠº"ABCDE,Fᑖ»v¼AB,CDTḄ½AE=CF,¾¿EF,BF,EFÀÁÂÃACÄŽO,ÆBE=BF,ZBEF=2ZBAC,FC=2,ÇÈÉABḄ£()4.᝞§ÊÂËÂ"ABCZC=90°,AC=2,AB=4,ᑖ»ÌACஹBCÊÍKÎᙊᑣ§▢´ᑖḄ☢Ð()>5

1A.2n-V3B.n+y/3C.n+243D.2n-2735.᪥ÒÒÓÔ|Õ᝕¢Ḅ8008×ØÙÚÛÜÝÞᑖ᝕¢ßà8008×áᢥ᯿ᡂãᑖäåஹæçஹᔠèஹZᔠèsméÕêᑴÒ᝞§ᡠíî§.ï᪥Ô|Õᨵ400᝕ᑣðî8008×ZᔠèḄñᨵòóC.20ôD.40ô6.᝞§ᡠḄõö?Ḅ÷ø§d$ḄvòBA.70°B.80°C.110°D.140°8.ᑡúûZd$Ḅv
A.ᐰéËÂ"Ḅᕜ£¡éB.ᐰéËÂ"Ḅ☢СéC.ᐰéËÂ"ü©ᔠD.ᐰéËÂ"hývé¼ËÂ"9.Zéþ5+2xVIḄÓÿᙠᦪ⊤Ḅ.A.-1τ»B.1JC.τ-------D.J--------------2003-20-?010.ᵬஹAᙢBᙢᵬaᓟ/!Ḅ"#ᒴ"%&⌶()*ᦑ,-./00

21-2aᓟ/!Ḅ"#23%&4ᙠᵬ)526!-ᒴ"Bᙢ7ᵬ830ᑖ:ᑮ<.ᑮ

3B,16.⚗3ᑖḄ{|.17.ᑖUX2—9=▲.18.Cy=2x%Ḅᑏ)YᓽF.ஹ⚪U`ᜧ⚪ᐳ9Y6⚪ᐳ78ᑖᑏ)ᦻSஹᡈ¡.19.6ᑖF¢᫑¤ᦟ¦§J¨¨©ª«¬®¯°±²³´µ¶·¸¹º¨»(¼½¬¾ᑖ©ª«¬2016-2017¬ª¿¬À®¯²³´µḄᜩᦪÂᵨÃᑮḄᦪÄÅᑴ¨ÇÈÉMQ☢Ê)¨Ç[Ë᦮ḄÈÉM.Í᪷ÄM(ÎÏḄÐÑAQᑡÒ⚪Ua=%,Â⊡ᐰᩩlM.ᙠ`ع᪵ÚÛ(ÜᦪÝ(Þᦪᑖßà᝞|á¤ᐳᨵ©ª«¬ã9000äÍåæÉ´µ!I[ßz6ᜩḄ¬äᦪᜧãᨵßà9ᜩAäᦪÝ9ᜩ25206ᜩ20%505ç6ç7ç8ç9ᜩ!èÝ9ᜩ20.6ᑖFéêU᝞MNABC,ëBCD.ìíUyῪAPBD,ïðBDJyῪPBDḄwPᙠNABCᑁ¾òPᑮNABCḄEGDy.21.6ᑖFéêPACOODᑗzA,BஹC஺஺Ḅ

4
1᝞MজPBC஺ODᑗzB,AC஺OḄõNBAC=25஺4ìNPḄᜧ6
2᝞MঝPBCOODözD,òPD=DB,NACB=90஺ìNPḄᜧ62x+1...-122.
8ᑖF[y÷øx+l>4(x—2)23.
8ᑖF᝞MAOyῪABCwBCḄo஺AC(ùx஺஺ᑮE,ïAE஻8C,úûAE.ì:ýl4OCEþl4জA8=17,8c=16,ᑣýlAOCEḄ☢ÿ=.ঝAB=1஺ᑣ5C=ADCE.24.
10ᑖ᝞AOḄ஺஺A஻CḄOOECEAZAC=BC.
1!"AC=CE;25.
10ᑖ᝞#$஺O,%ᵨ'()஺OḄᑁ+ABCD,,-ᶇ/012ᑏ)4

5"o26.
12ᑖ᝞67ᡫ9:;Ḅ<:=>?☢ᔣBCᙳᒴF;GHIJK<:ᵨL᪛N,ᡈᑡ⊤Ḅ4IRḄK<::☢SḄᦪUVWXᏔᦪḄᭆ᳛.27.
12ᑖ᝞ᙠ]ABCD;AB=3,AD=4,P^_BD`a+AP,=bAPcPd┐fg90஺hbPQ.
1iQjᑮADSZPAB=____°,PA=,4Q;
2iAPLBDmnPPo,QQo,oaPḄpqNQQoDḄᜧst2বᙠP`a;iQᙊw§BPxḄᙊyBDzᑗBPḄ|t
4PᙠbBDSᵫBᔣD`a~,ᒹBஹDK;CQḄJ+ᑏR.0ὃᫀ6ஹ⌱⚪,ᜧ⚪ᐳ12s⚪s⚪4ᑖᐳ48ᑖ.ᙠs⚪RḄ⌱⚗;ᨵ6⚗ᔠ⚪⌕Ḅ1,Dூ
᪆௃᪷⚪HᵨzḄᦪ⊤¡R¢£¤ᨴ¦V§¨©⚪hª«.

6ூª௃ᵫ⚪HhX¢£¤ᨴ¦V§¨©"Xv(l-30%R(l+40%)=(1-30%)(1+40%)fᦑ⌱"D.ூ°௃⚪ὃ±²ᑡᦪª⚪Ḅᐵ´µ¶⚪HᑡRzḄᦪ.2ஹDூª᪆௃᪷⚪HᑡRᐵ¸¢¹ºᔠ»ᓽhᑮ.ூª௃ª"½sᓱᱏḄx,Ày,᪷⚪Hh"x+2y=a,ᑣঝ;Kᙽ▢ÃÄᑖᕜW"2a+2(b-2y)+2(b-x)=2a+4b-4y-2x=2a+4b-2(x+2y)=2a+4b-2a=4b.ᦑ⌱"D.ூ°௃n⚪ὃ±²᦮ḄÇÈÉÊËÌ`Í4ᑣª⚪Ḅᐵ´.3ஹDூª᪆௃ᑖ᪆"+OB,᪷ÎῪÐÑÐᔠ6ḄឋÓhBO_LEF,Ô᪷]ḄឋÓhOA=OB,᪷ÎÕÎÑḄឋÓhNBAC=NABO,Ô᪷ÐÑḄᑁÑWÖᳮᑡRNABO=30஺ᓽNBAC=30஺᪷ÑÐÑ30஺ÑᡠÕḄÑÎÙḄ6xRAC,ÔᑭᵨÛÜÖᳮᑡÝÍᓽRAB.ª"᝞+OB,

7DCVBE=BF,OE=OF,ABOlEF,...ᙠRtABEO;ZBEF+ZABO=90°,ᵫÑÐÑÙSḄ;ÎÙSḄ6x$"OA=OB=OC,.*.ZBAC=ZABO,XVZBEF=2ZBAC,ᓽ2NBAC+NBAC=90஺ªhNBAC=30°,¤ZFCA=30°,.,,ZFBC=30°,VFC=2,.\BC=2V3..,.AC=2BC=4V3,•■;AB=VAC2-BC2=7
4>/32-
2V32=6,ᦑ⌱D.°"⚪ὃ±²]ḄឋÓᐰÎÐÑḄᑨÖyឋÓÎῪÐÑÐᔠ6ḄឋÓÑÐÑ30஺ÑᡠÕḄÑÎÙḄ6xàᔠ⚪áâ|2ᜧ
2/ãä»RNBAC=30஺ª⚪Ḅᐵ´.4ஹDூ
᪆௃ᑖ᪆"åæ$▢ÃÄᑖḄ☢ç=SMACD+SxBeD-SAABC,ᯠé᪷ᡧ☢çëWÐÑ☢çëÝÍᓽ1s.ª"+ax

8iyVZC=90°,AC=2,AB=4,.\BC=V2_22=273.4,▢ÃÄᑖḄ☢ç=sxᙊACD+sxᙊBCD-SAABC"+g஻x(6)-^x2x273=í+ᒹ—2622=2ð—26ᦑ⌱"D.°"⚪ὃ±²ÛÜÖᳮᙊḄ☢çëÐÑḄ☢çëñᒘ⊡4Ḅ☢ç᪷ᑨôR▢ÃÄᑖḄ☢ç=S*01ACD+SxᵨBCD-SAABCª⚪Ḅᐵ´.5ஹCூ
᪆௃ᐜR80()ö÷2ᔠøḄùᑖ᳛Ô᪷ᵨ᪵ûÝüýRû.ூ$
௃2400x=20þ.12+16+10+2ᦑ⌱C.ூ°௃ὃ±²⚣᳛ᑖᵨ᪵ᐵ☢ᑮᐹḄ.6ஹDூ
᪆௃ᔣ"#ᓽ%.ூ$
௃&'()*&'+,)᪀ᡂ.ᦑ⌱D.7ஹCூ
᪆௃ᑖ᪆23AC4Ḅᙊᕜ,NAPC,᝞ᑭᵨᙊᑁ:;<)Ḅឋ>ᑮNP=40஺ᯠ"᪷Bᙊᕜ,CᳮENAOCḄF

9ᦪ.IJ23AC4Ḅᙊᕜ,NAPC,᝞,VZP=-ZAOC=-X140°=70°22VZP+ZB=180°,.,.ZB=180°-70o=110°,ᦑ⌱2C.LM2⚪ὃPQᙊᕜ,Cᳮ2ᙠSᙊᡈUᙊVSWᡈUWᡠ4Ḅᙊᕜ,YUZU[\ᩩWᡠ4Ḅᙊ^,Ḅ&_.8,DூJ᪆௃᪷BᐰU+,)Ḅឋ>cA,B,Cd⚪ᙳfgᦑ⌱⚗ᙳ┯jkD.┯jᐰU+,lm,+,ᦑ⌱⚗fg.ᦑ⌱D.ூLM௃⚪ὃPᐰU+,)Ḅឋ>n+,)ᐰUᐸ4p<*4p,ZYU.9ஹCூJ᪆௃ᐜJrUsᑮx<-l,᪷Bᦪt⊤vᦪḄwᑮJxᙠ-1Ḅy<.ூIJ௃5+lx

10ூ᪆௃
জᵫᦪ“=120+3=40,ᦑজঝᵫ⚪5.5-3-120+(40x2),=2.5-1.5,=1..•.ᵬḄ1;ᦑঝ•.•ᵬḄ1,.B(4,120).•••ᙠᵬ!"2#ᒴ%&'஻ᙢ*ᵬ+30ᑖ-ᑮ/..E(5,240).012Ḅ%3
240+3=80,45Ḅ
240+80=3,.F(8,0).6BCḄ᪆89=hf+;EFḄ᪆8>2=<=>ᵫ,120=4?+A/240=5B+ᡭ’240=5.5ᓃ+“\Q=Sk+b'22k,=80f<=—80F=G200Z>=640,2AJI=80Z-200,y=-80Z+640,2HJ1=J280f-200=-80Z+640,/=5.2.

11•••Iᙠ⌶KL0MN⍗tḄP5.2ᦑQঞটHU3ᵬ1ḄTU
120km,1ḄTU
80x(3-2)=80km,INVḄTU
120-80=40,ᓟXᦑটᦑ⌱A.11ஹCூ᪆௃᪷\]^_`ᑮḄa^bcdᫀ.ூ௃]^_`fghaKhaḄ^iI_jkᦑ⌱C.ூmn௃p⚪ὃrstᓫvwxḄfb]^_`ᑮḄa^b.12ஹBூ᪆௃ᑖ᪆
yzᑭᵨᔠ~⚗ᑣᦪḄ◀ᑣḄᑣᑖ!dᫀ.
Aஹ⚗ᦑ⌱⚗┯BஹX2-X3=A5,Cஹ(-X2)3=-X6,ᦑ⌱⚗┯Dஹ/ᓝ2=/ᦑ⌱⚗┯ᦑ⌱
B.mn
⚪⌕ὃrsᔠ~⚗ᦪḄ◀Ḅᑣ⚪ᐵ.0ஹ¡¢⚪
(pᜧ⚪ᐳ6g⚪¦⚪4ᑖᐳ24ᑖ.)13ஹ(46+2()73)ூ᪆௃¨©aªḄIg⚔mᔣ®ᚖkAEஹDF,ᑮIgy°f°aGghaᑖRtAABEஹRtADCᡝ²k³BEஹCEḄ´ᯠ#¶·N;ᓽc²8cḄ´.ூ௃

12᝞ºDF1BC,ᚖ»ᑖmE,F,ᑣ¾_aADEEha.ᵫ⚪£F=A£>=6XA£=஺/=20X?B30°Éᚁ8Ḅᚁ31
2,ᙠRtAABEKB30°•••BE=#>AE=2073X.ᙠRtADCFK•.,ÉᚁCOḄᚁ31
2,.DF1•■-fCF2.••CF=2O9=40XA5C=fiE+£F+FC=2073+6+40=46+2073ØXÙ.0ÚBCḄ´3ÛÜ(46+20Ý)X.ᦑdᫀ(46+2()Ý).ூmn௃⚪ὃrsy°f°aḄÞᵨ-ᚁ3ᚁ°à⚪á3〉Kdp⚪Ḅᐵ᪀⌼y°f°ahaåᳮᚁ3¶ᚁ°Ḅçè.14ஹ1ூ᪆௃é⚪ᑖ᪆
ᐜ²!n?-2mḄPᯠ#îᡠ²ðᦪ8᦮ᳮ!òóᩩõḄa8~ðᐭ÷1ᓽc.
ᵫm?-2m-1=0m?-2m=1,ᡠ2m2-4m+3=2(m2-2m)+3=2x1+3=1.ᦑdᫀLὃm
ðᦪ8²P.15ஹ1
4ூ᪆௃,ú4BE1Üᑮû6ᵫSABDE:SACDE=1:3,ᑮூ௃
•••5üý
5£þ=1
3,Igf°aÿ
☢.

13BE1/.------=——9CE3BE:BC=1:4.ᦑᫀ}1:4.ூ*+௃⚪ὃPQ+,)Ḅ☢Ḅឋ>Ucc⍝UrSḄ+,)Ḅ☢ḄU[ḄJ⚪Ḅᐵ.16ஹm(m+n)(m-n).ூ
᪆௃⚪ᑖ᪆2s=("=m(m+n)(m-n).ᦑᫀ}2m(m+n)(m-n).ὃL2sw¡swḄ¢ᔠ¤ᵨ.17ஹ(x+3)(x—3)ூ
᪆௃x2-9=(x+3)(x-3),ᦑᫀ}(x+3)(x-3).18ஹy=-2x+5(ᫀr¥&)ூ
᪆௃᪷Bnᩩ§¨©Ḅᩩª2kYUbrYUJᓽ.ூ$
௃J2᝞y=2x+l(«⌕k=2,0ᓽᫀr¥&).ᦑᫀ}y=2x+l.(v2®¯y=2x+bḄ)s°bHO)ூ*+௃⚪ὃPQnᩩ§Y±ᡈ¨©²⚪.§y=kx+b,(³0,°k,b}´ᦪ)µkYS°brYU¶¨©kµkrS°bYU¶Y±kµk,bZYSnᩩ§·ᔠ.+ஹJ⚪2(ᜧ⚪ᐳ9'º⚪ᐳ78ᑖJpᑏ~ᦻ½¾¿ஹÀ¿ÁᡈÂÃÄÅ.19ஹ(1)1(),⊡ÇJ᪆k(2)Èᦪ5,VÉᦪ1(3)ÊËrÌ[1ᜩḄÎÏÐᦪᜧÑᨵ5400Ð.ூ
᪆௃(1)ᵨ1ÓÔᐸÕᜩᦪᡠᓰḄ×ᑖᓽᑮaḄᵨ310஺ØÙᡠᓰḄ×ᑖᓽE~Úᡧ)ᡠ4ᙊ^,ḄFᦪk᪷B1ᜩḄÐᦪ*ᡠᓰḄ×ᑖE~ÐᦪÜØ8ᜩḄÐᦪᡠᓰḄ×ᑖᓽ⊡ᐰÝk(2)᪷BÈᦪ*VÉᦪḄCÞᓽE~ᫀk(3)ᵨÐᦪØÊËrÌ[1ᜩḄÐᦪᡠᓰḄ×ᑖᓽE~ᫀ.ூ$
௃

14(1)ᡧa=l-5%-40%-20%-25%=10%,ᡧᡠᙊḄᦪ310°xl0%=31°,20!"#$Ḅᜩᦪ8ᜩḄ&ᦪ'ஹ^xl0%=10(&)⊡᝞.:(2)0᪵234&ᦪ100&5ᔠᩩ89:ᦪ'5,;ᦪ'1.(3)᪷=⚪?99000x(25%+10%+5%+20%)=5400(&)#$@ABC1ᜩḄDE&ᦪᜧGᨵ5400.ூJK௃M⚪ὃ3Ḅ'ᩩOᡧḄPᔠQᵨSTUBVḄ9ᑮX⌕ḄZ['\]⚪Ḅᐵ_.ᩩ`abᙢ⊤efgh⚗jḄᦪ=kᡧlmn᧜pᑖᓰ4sḄtᑖᜧu.20ஹvw᪆.ூ᪆௃ᵫ⚪?8zᐜvfNABCḄ|ᑖ}~vf}BDḄᚖl|ᑖ}Jᓽ'PJ.ூ௃•.•JPᑮNABCḄAJPᙠNABCḄ|ᑖ}k•••}BDῪPBDḄ
.PB=PD,...JPᙠ}BDḄᚖl|ᑖ}:.JP'NABCḄ|ᑖ}}BDḄᚖl|ᑖ}ḄJ᝞ᡠe

15ß⚪⌕ὃPQàá3fgâ,¨ᑖ§Ḅឋ>*§ãᚖ¨ᑖ§Ḅឋ>J⚪Ḅᐵ.21ஹ(1)ZP=50°(2)ZP=45°.ூJ᪆௃(1)å:OB,᪷Bᑗ§çCᳮᑮPA=PB,ZPAO=ZPBO=90°,᪷B+,)ᑁ,*CᳮÃᓽk(2)å:ABஹAD,᪷Bᙊᕜ,CᳮᑮNADB=90஺᪷Bᑗ§Ḅឋ>ᑮABJLPA,᪷BUῪ,+,)Ḅឋ>J.ூIJ௃J(1)᝞জå:OB.VPA.PB¡஺OYᑗ[AஹBL.♦.PA=PB,/.ZPAO=ZPBO=90°.••ZPAB=ZPBA,VZBAC=25°,.•.ZPBA=ZPAB=90°—ZBAC=65°.,.ZP=1800-ZPAB-ZPBA=50°(2)᝞ঝå:ABஹAD,VZACB=90°,.ABḄëZADB=90-VPD=DB,.•.PA=AB.•••PA¡(DOYᑗ[ALAABIPA,.•.NP=NABP=45°.

16জঝூJK௃M⚪ὃ3Ḅ'ᑗ}ḄឋஹᙊᕜᳮᙊḄᑗ}ᚖlᑗJḄ'⚪Ḅᐵ_.22ஹ-1-1,Bx+l>4(x-2),9:x

17AEJKM⚪ὃ3£|®¯Ḅᑨ²ḄᑨOឋῪÂḄឋµ¶ᳮḄÃᵨ`PᔠQᵨᳮÄ®°ᳮO©'Å¢⚪Ḅᐵ_ÆᐺÈÉ〉.24ஹ(1)w᪆k(2)tanNCEO="l5ூ᪆௃(1)ËÌÍAC=CE»⌕ÌÍᓽ8kOC3(2)ᵫAEDFs^COF,89£—=——=—,ÑÒ0=2”0C=3a,ᑣ஺Ò=a,DE=1.5a,AD=DB=6a,ᵫDFOF2ABAD^ABEC,89ÑAC=BC=x,ÓÔ2Õ=6஺*7.5&ᵫ¢fACஹCDᓽ8\]⚪.ூ௃(1)ÌÍ᝞.×m4E,'l...ZACD=90°,J.DCA.AB,'AC=CB,.DA=DB,.ZCDA=ZCDB,,ZEAC+NEDC=180஺,ZEDC+ZCDB=180°,:.NBDC=NEAC,'ZAEC=ZADC,.ZEAC=ZAEC,AC=CEi(2)᝞.×m0C,'AO=OD,AC=CB,.OC//BD,...gDFsACOF,

18EDOC3••_____—______—__9DFOF2ìíO=2a,0C=3a,ᑣ஺í=a,DE=1.5a,AD=DB=6a,'ZBAD=ZBEC,NB=NB,.^BAD^ABEC,:.BDBE=BC,BA,ìAC=8C=x,ᑣᨵ2x2=6ax7.5a.3ïx-------a2AC=জ2:.CD='AD2-AC)=-ூLM௃⚪ð[ᙊḄ¢ᔠ⚪ñᑮ+,)ḄYòJ,+,)UYᐵὃLóôõâ+,)YòḄᑨCJ,+,)UYᐵᑁ÷Jø⚪Ḅᐵ.25ஹÇJ᪆ூJ᪆௃᪷Bᑁ:f;<)Ḅ3w~ùᶇ3ûüᓽ.ூIJ௃

19Øv¤ᩩl~vlḄᚖ}Ù¦×mᙊḄ¯Jᓽ8.ூ௃¢⚪ÚJὃÛDEᙊᑁm¹¯vḄÃᵨᙊᑁm¹¯Ḅvºª'⚪Ḅᐵ_.CC126ஹ—3ூ᪆௃᪷=ᑡ⊤ªᐜÞfᑡ⊤~ᭆ᳛.ூ௃ᑡ⊤᝞.23562(2,3)(2,5)(2,6)3(3,2)(3,5)(3,6)5(5,2)(5,3)(5,6)6(6,2)(6,3)(6,5)ᵫ⊤8zᐳᨵ12á8`5âᐸᦪäOᏔᦪḄᨵ4áᡠæÒ(ᦪäOç'Ꮤᦪ)=k.ூJK௃¢⚪ÚJὃ3DEᭆ᳛ḄÃᵨᑡ⊤ª'⚪Ḅᐵ_.27ஹ(1)45,ᚆéêফìíᩩîḄNQQoD45஺ᡈ135஺kবBPḄ½ðᡈñk(4)£1SCQS7.7752510ூ᪆௃পᵫòz8zAPQῪlÂ89NPAB,~ᑭᵨÂô89PA,õöAQḄ½k(2)ᑖJQᙠBDºO.ºḄ÷øùúᓽ8.(3)ᑖùúJQᙠBDºO.ºḄ÷øᑭᵨᑗ}ឋᙠᵫ(2)ᵨBPo⊤eBP,ᵫûüᳮ©ᓽ8k

20(4)ᵫ(2)cLQᙠLQ஺°¡BDᜳ,}45஺Ḅ§ãEF¤Ëᨵ)cµLQ¤ËᑮLECQᨬ
7,ᵫᚖᨬᵨ☢CQᨬ.ூ௃(1)᝞PPE_LADEᵫAP=PQ,ZAPQ=90°...APQ
Ὺ"#$#%...NPAQ=NPAB=45°&PE=x,(!]AE=x,DE=4-xVPE/7AB/.DEP^ADAB.DEPE"=AB4-xx••¤43*x=—.\PA=V2PE=1^17+AQḄ
-•In--1=.gk.477ᦑ0ᫀ
45,91,.2377(2)᝞QQF_LBDF

21ᵫNAPQ=90஺AZAPPo+ZQPD=9O°VZPoAP+ZAPPo=9O°AZQPD=ZPoAPVAP=PQ/.APPO^APQFAAPo=PF,PoP=QFVAPo=PoQo:.QoD—PoPQF=FQoNQQoD=45஺.ÁJQᙠBDḄý.º@Vᳮ89NPQ°Q=45஺,¢@NQQ)D=135஺PᡠþìíᩩîḄNQQoD45஺ᡈ135°.2ব᝞
QBDQᙊ§BPḄᙊBDᑗ2QQFLBDF,ᑣQF=§BP

22ᵫ(2)4PPo=1BP1.,.BPo=-BP3VAB=3,AD=4.BD=5VAABPO^ADBA.,.AB2=BPO«BD1/.9=-BPx5327.*.BP=—5275ᳮ7Q8BD9:;4*1»>=<2727ᦑBPḄ
=ᡈ=525(4)ᵫফ4NQQoD=45°ᑣ᝞QᙠQo,BCBDᜳ#
45஺ḄEFFGH,7PCBJᔠ;QCFJᔠL;CF=4-3=17PCDJᔠ;QCEJᔠL;CE=4+3=7

23EF=VCF2+CE2=Vl2+72=5V2CCH_LEFHᵫ☢4FCEC22__mCH=EF"572"lo".♦.CQḄMO
2^