2022年中考数学复习相交线与平行线

《2022年中考数学复习相交线与平行线》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
ὃᦪ⚪⌴.⌱⚪ᐳ8⚪1.2021•
᝞ᡠ"#$/I%/2ᑖ'($/3$%/2ᡠᡂ*.᝞+/1=52°,-./2=
A.138°B.128°C.52°D.152°2.2021•/0᪥2ᨴὃ4ᑡ67
#89Ḅ;A.=>ᨵ@Aᨵᩩ$C$B.ᨵᩩDEFG┦*IJKḄLG$*M*NᐰKC.M*NḄ᜜*ᜧRSḄTUGᑁ*D.KῪM*NX;YIZN#[;
\IZN3.2021•]^0
᝞ᡠ"#$a஻ᓃ#/2=28°,Zl=50°,ᑣ/A=4.2021•bcd
ᩈᩩ“ஹbஹc᝞ᵨijklᙠᩈnao@NA8M=50°,ZDEM=10°,pᩈᩩ஺ஹᩈᩩrᩈᩩcst;ᙠu☢aᑁḄMᩩ$ACஹDFஹMN,wx$ACஹ$஺FyᑮḄ{|ᐵ~#ᑣ4ᑡ┯Ḅ;A.ᩈᩩckl#ᩈᩩ஺>3┐20°B.ᩈᩩckl#ᩈᩩ஻>B⌮┐160°C.ᩈᩩaஹckl#ᩈᩩb>E⌮┐20°D.ᩈᩩaஹckl#ᩈᩩ>E┐110°

15.2021•ᓭ0᪥2ᨴὃ4ᑡ67
জᨵᐳ⚔>@KḄ*;I⚔*ঝ$᜜>ᑮᩩ$Ḅᚖ#>ᑮ$Ḅঞ¢(£⊡*ḄLG*Ḅᑖ¢ᚖ$ট¦=>ᨵ@Aᨵᩩ$§C$ᚖ$.ᐸ
89ḄGᦪᨵA.1GB.2GC.3GD.4G6.2021•ᓭ0᪥2ᨴὃ4☢°GN
#N1/2;u{*Ḅ;7.2021•´µ0᪥2
᝞#§CNBOPOPoḄ>C,>A,¸u¹º᝞4»tজ¼>஺(ᙊ\#OC(¾¿ÀÁ#08R>O,ÃÄCZঝ¼>A(ᙊ\#OC(¾¿ÀÁ#OAR>Mঞ¼>M(ᙊ\#8(¾¿ÀÁ#Ç2È
ᡠÀḄÁR>E,ÃÄME.4ᑡÊËÌᵫo»tÊ+ÎÏḄ;A.ZACD=ZEAPB.OB//AEC.ZODC=ZAEMD.CD//ME8.2021•ᓭ0᪥2
4ᑡÐÑ
89ḄᨵG.জLᩩ$ÒÇMᩩ$ᡠÓ#u{*K

2ঝu☢ᑁ#ḄLᩩlঞ=>ᨵ@Aᨵᩩ$ᚖ$R§C$ট¦=$᜜>ᨵ@Aᨵᩩ$ᩩ$ঠr$᜜>ᑮᩩ$Ḅᚖ#>ᑮᩩ$Ḅ.A.1B.2C.3D.4Õ.Ö×⚪ᐳ7⚪9.2021♦Ù0᪥2ᨴὃ᝞#§CA8஻C£>,ONCABஹ/ACZḄ*ᑖḄ>#OEJ_4cRE,@஺E=1.5,ᑣLABஹCDàḄKR.CD10.2021•ᓭ0᪥2
᝞#AB஻CC,$EF$ABஹC஺ᑖ'R>EஹF,NEFDḄᑖEPR>P,@EPVEF,NBEP=30°,ᑣNEPãḄäᦪ(.11.2021•ᓭ0᪥2
᝞#§C$l\//l2,NA=125°,ZB=85°,@N1å/2ᜧ4°,-.Nl=.12.2021•ᓭ0᪥2ᨴὃ᝞#wAB,AãÒEDᡠÓ#ᑣNI;ᑁ┯*.13.2021•ᓭ´0᪥2ᨴὃèè$é%ᙽM*n᝞ë|#wNl=42°,ᑣ/2

314.2021•ì´0᪥2
᝞#ᙠíABC
#BPᑖ/C8A,APᑖNC4B,HDE//AB,wCB=6,AC=10,ᑣḄᕜ;.15.2021•ᔺ]0ᨴὃ᝞èGðNñᱏóEãᢚõö#>஺ஹCᑖ'÷ᙠøஹCᜐ#Z4ED'=40°,ᑣNBãC'=.M.úû⚪ᐳ5⚪16.2021•ᓭ0᪥2
üᡂ4☢ýᳮ=ÿ
ᙠᑏᳮ᝞AOLBC஺EGLBCG,ZE=Z3,A஺ᑖ/BAC.'AD±BC,EGA.BC.ZADC==90°ᚖ஻EG!"#$%&'Z.Z1=N2=/3
)*/3=/E+,=Z2
...A஺ᑖNBAC

417.(2021-•/□12)⊡ᐙ6ᡂ8ᑡ:;
<ᳮḄ.+,᝞ZBEC=ZB+ZC.?AB//CD.@ABEB8Dᑣ()/BEC=NB+NC,.ZB=,($HIᣚ)J.AB//CD.()4BO18.(2021-•ᓭL1᪥N2)᝞ABஹCDBO,OE1.AB,POCᑖ/AOE,:OQR&OF,S.ZDOF=4ZAOF,?/FOCḄTᦪ.19.(2021-•ᓭL1᪥Nᨴὃ)+,OX&AB<ḄYOC,OE.(1)᝞1,ZNCOA=34°,?NBOEḄTᦪ.(2)᝞2,[R&OCᙠ&AB8\]OFᑖNAOE,NBOE=130°,NCOFḄTᦪ.

5(3)ᙠ(2)Ḅᩩ_8᝞3,ᙠNBOEᑁaQR&0M,b/COM+cdNA0E=2N10BOM+ZFOM,?NBOMḄTᦪ.20.(2021-•ᓭL1᪥Nᨴὃ)᝞஺ᙠ&Ee<AஹBfCஹ஺ᑖgᙠ&(1)᝞1,Z0cᑖN80D,?/AOOḄTᦪ*(2)᝞2,ᙠ(1)Ḅᩩ_8OEᑖNAOD,:஺QR&0G-L08,?NEOGḄTᦪ*(3)᝞3,ZᙠN80CᑁaQYᩩR&OH,!NCOHNBOH=23,NDOE=5NFOH,ᑨiNAOEf/OOEḄᦪHᐵk.

62022lὃᦪmnop⚪r⌴t#B&f'&2021l11ᨴuὃvᫀf⚪x᪆Y.⌱{⚪ᐳ8}⚪I.2021-•A2᝞ᡠ&N1N2ᑖg&/3f&/2#Bᡠᡂ".᝞Nl=52°,N2=A.138°B.128°C.52°D.152°ூὃ௃'&Ḅឋ.ூ⚪௃&ஹ"ஹ#B&f'&*ᳮ.ூᑖ᪆௃᝞᪷'&Ḅឋᵫ஻/2,/1=/3=52°.ᵫ/2f/3X⊡"N2=180°-N3=128°.ூxv௃x᝞.'h//l2,.*.Z1=Z3=52°.f/3X⊡"*./2=180°-N3=180°-52°=128°.ᦑ⌱B.ூ¥௃¦⚪§⌕ὃ©'&Ḅឋஹ⊡"Ḅª«¬'&Ḅឋஹ⊡"ḄXx®¦⚪Ḅᐵ¯.2.2021-•°'1᪥Nᨴὃ8ᑡ±²³´ḄXA.:YᨵP¶ᨵYᩩ&f,&'B.ᨵYᩩ·¸¹Yº┦"¼½#$Ḅ%º"¾"¿ᐰ$C.¾"¿Ḅ᜜"ᜧÃḄÄÅYºᑁ"

7D.$Ὺ¾"¿ÇXȼÉ¿)XʼÉ¿ூὃ௃'Ëᳮ¹Ì*"¾"¿ᐰ$Ḅᑨ*$Ὺ¾"¿Ḅឋ*ȼÉ¿*ʼÉ¿.ூ⚪௃&ஹ"ஹ#B&f'&*¾"¿*$Ὺ¾"¿f"¾"¿*ÍஹÎÏf¼É*ÐÅÑ.ூᑖ᪆௃᪷'ËᳮÒᑨi⌱⚗4᪷"¾"¿Ḅᑨ\ÔÒᑨi⌱⚗B᪷¾"¿Ḅ᜜"ឋÒᑨi⌱⚗C᪷ȼÉ¿ʼÉ¿ḄÒᑨi⌱⚗D.ூxv௃xA.Õ:&᜜YᨵP¶ᨵYᩩ&fÖᩩ&'ᦑ¦⌱⚗×ᔠ⚪Ù*B.ᨵYᩩ·¸¹Yº┦"¼½#$Ḅ%º"¾"¿ᐰ$ᦑ¦⌱⚗Úᔠ⚪Ù*C.¾"¿Ḅ᜜"ᜧfÃ×#ḄÄÅYºᑁ"ᦑ¦⌱⚗×ᔠ⚪Ù*D.$Ὺ¾"¿ÇXȼÉ¿×XʼÉ¿ᦑ¦⌱⚗×ᔠ⚪Ù*ᦑ⌱B.ூ¥௃¦⚪ὃ©Û'Ëᳮ"¾"¿Ḅᑨi\Ô¾"¿Ḅ᜜"ឋȼÉ¿fʼÉ¿¬#ᐵXxv¦⚪Ḅᐵ¯.3.(2021-•ÜÝ12)᝞ᡠ&a஻6Z2=28°,Zl=50°,ᑣNA=()ூὃ௃'&Ḅឋ.ூ⚪௃&ஹ"ஹ#B&f'&*ᳮ.ூᑖ᪆௃᪷¾"¿᜜"ḄឋZA^ZDBC-Z2,Þ?ß4,◤?NO8C.᪷'&Ḅឋᵫa஻áNl=/O8C=50°,áâx®ã⚪.ூxv௃x:-a//b,.Z\=ZDBC=50°.VZDBC=ZA+Z2,.ZA^ZDBC-Z2=50°-28°=22°.

8ᦑ⌱c.ூ¥௃¦⚪§⌕ὃ©'&Ḅឋஹ¾"¿᜜"Ḅឋª«¬'&Ḅឋஹ¾"¿᜜"ḄឋXx®¦⚪Ḅᐵ¯.4.2021-•åæç2ᩈᩩaஹbஹc᝞ᵨêëìᙠᩈía

9ᦑCᔠ⚪;D.ᩈᩩaஹcᩈᩩ஺E┐110°,ᩈᩩb$ᩈᩩc%ᔠAC&஺'()ᦑ஺ᔠ⚪.ᦑ⌱D.ூ+௃,⚪ὃ./()0Ḅᑨ34()0Ḅᑨᳮ6⚪Ḅᐵ8.5.20219•ᓭ<=᪥?ᨴὃABᑡDEFজᨵIᐳ⚔LMNḄO6P⚔OঝR0᜜TᑮVᩩR0Ḅᚖ0XYZᑮR0Ḅ[\ঞ^_`⊡OḄbcOḄ(ᑖ0^MᚖRটfgTᨵLhᨵTᩩR0&ijR0ᚖR.ᐸFlmḄcᦪᨵoAA.1cB.2cC.3cD.4cூὃ௃ᚖ0ᑮR0Ḅ[\.ூp⚪௃0XஹOஹMq0&()0rᳮst.ூᑖ᪆௃᪷wP⚔OஹᑮR0Ḅ[\ஹ`⊡Oஹᚖ0x,⚪.ூ௃জᐹᨵIᐳ⚔bz^_{ᔣ}~0ḄbcO_P⚔Oᦑজlm.ঝR0᜜TᑮVᩩR0Ḅᚖ0XḄ~YZᑮR0Ḅ[\ᦑঝlm.ঞ^_`⊡OḄbcOḄ$_180°,^_`⊡OḄbcOḄ(ᑖ0^MᚖRᦑঞlm.টT(☢ᑁfgTᨵLhᨵTᩩR0&ijR0ᚖRᦑটlm.lmḄᨵঞᐳ1c.ᦑ⌱A.ூ+௃⚪⌕ὃ.P⚔OஹᑮR0Ḅ[\ஹ`⊡Oஹᚖ03P⚔OḄஹᑮR0Ḅ[\ஹ`⊡Oஹᚖ06x⚪Ḅᐵ8.6.20219•ᓭ<=᪥?ᨴὃAB☢cFN1&N26OḄ6oA.B.

10c.D.ூὃ௃Oஹᑁ┯OஹᑁO.ூp⚪௃0XஹOஹMq0&()0R.ூᑖ᪆௃᪷w“O”Ḅᔠᔜc⌱⚗FḄbcOḄ)ᑨᓽ.ூ௃ᵫOḄj⌱⚗Aஹ⌱⚗Bஹ⌱⚗CFḄN1&/2¢6O⌱⚗tFḄ/I&/26R048ஹ8c£R04஺ᡠ¥ᡠ¦ᑮḄOூ+௃⚪ὃ.Oஹᑁ┯OஹᑁOOஹᑁ┯OஹᑁOḄ6lmᑨḄ§¨.7.20219•©ª=᪥?«FA᝞jNBO'&OPḄC,A,®¯°±)᝞B²³জ´஺_ᙊ¶OC~_·¸¹º*OBD,»¼CDঝ´A_ᙊ¶OC~_·¸¹ºqOA½Mঞ´M_ᙊ¶C£~_·¸¹ºq¾2¿Fᡠ¹Ḅº½E,»¼ME.BᑡÀsᵫÁ²³Â¦ÃḄ6oAA.ZACD^ZEAPB.OB//AEC./ODC=/AEMD.CD//ME

11ூὃ௃()0Ḅᑨ.ூp⚪௃³⚪0XஹOஹMq0&()0R.ூᑖ᪆௃ÄÅOCDgAME,᪷w()0Ḅᑨᳮᓽ¦ÃÀ.ூ௃ᙠOCD$AMEFrOC=AM

12ঞᙠTc(☢ᑁgTᨵLhᨵTᩩR0ᚖR½ijR0ßÔÓ┯àটfgR0᜜TᨵLhᨵTᩩR0&VᩩR0()ßÔÓlmঠR0᜜TᑮR0Ḅᚖ0XḄ~YZVᑮVᩩR0Ḅ[\ßÔÓ┯à.ᡠÁÔÓlmḄcᦪᨵ1c.ᦑ⌱A.ூ+௃,⚪⌕ὃ./ᚖ0ḄឋÚᚖ0Xᨬâ()0Ḅᑨ$ឋÚNjÞ34$ឋÚ6,⚪Ḅᐵ8.ã.äå⚪oᐳ7®⚪A9.20219•æç=᪥?ᨴὃA᝞ijAB஻CC,ONCABஹNACQḄO(ᑖ0ḄqOELAC½E,LOE=1.5,ᑣb()043ஹCDèḄ[\N½3.Dூὃ௃()0Ḅᑨ&ឋÚ()0éèḄ[\O(ᑖ0ḄឋÚ.ூp⚪௃0XஹOஹMq0&()0Rêëst.ூᑖ᪆௃g஺³qA8½M,*CDN,ᑖìíÃON=OM=1.5,ᑣíMN=3.ூ௃g஺³MN_LAB,q48½M,qC஺½N,,.'AB//CD,.ONLCD,OM±AB,(ᑖZAMC,OEA.AC,.OM=OE,VOC^-^ZACD,OEVAC,.OE=ON,OM=ON,OE=\.5,:.MN=3,ᦑᫀ_3.

13ூ+௃⚪ὃ.()0èḄ[\3O(ᑖ0ḄឋÚ6⚪Ḅᐵ8.10.20219•ᓭ<=᪥?«FA᝞AB//CD,R0EF&R0ABஹCEAᑖìMq½EஹF,NEFQḄ(ᑖ0&EPMq½'S.EPVEF,NBEP=30ᑣNEPFḄᦪ_60°.ூὃ௃ᚖ0()0ḄឋÚ.ூp⚪௃0XஹOஹMq0&()0rᳮst.ூᑖ᪆௃ᵫ4B஻CQ,᪷wbR0()ᑁO^⊡ᓽ¦/8ᴑ4/£ᑘ3=180°,òᵫEP_LEF,NEEDḄ(ᑖ0&EPMq½P,/8EP=30°,ᓽí¦NPFEḄᦪᯠô᪷wÕOḄᑁO$ᳮᓽí¦/EPFḄᦪ.ூ௃AB஻C£>,:.NBEF+NEFD=18Q°,.EP±EF,.ZPEF=90°,VZBEP=30°,.ZEFD=\S00-90°-30°=60°,VZEFDḄ(ᑖ0&EPMq½P,.NEFP=NPFD=LEFD=30°,2#.NEPF=90°-NEFP=60°.ᦑᫀ_60°.ூ+௃,⚪ὃ./()0ḄឋÚ&O(ᑖ0Ḅ´ØÕOᑁO$ᳮ.,⚪õᜧ⚪Ḅᐵ86÷bR0()ᑁO^⊡ᳮḄøᵨ÷ᦪᔠúûḄøᵨ.

1411.o20219•ᓭ<=᪥?«FA᝞ijR0l\//h,NA=125°,ZB=85°,/IN2ᜧ4°,Nl=17°ூὃ௃Ḅឋ.ூ!⚪௃#ஹ%ஹ&'()*ᳮ,-.ூᑖ᪆௃0A1Ḅ20B1/2Ḅ2᪷4562ᑁ┯%&9:;N3=/l,N4=/2,=᪷4562>?ᑁ%@⊡BCNC48+NA8£>=180°,ᯠJKLC/1+/2=30°,Mᔠ/I/2ᜧ4°,ᓽ:;P.ூPQ௃PR᝞T2041AḄAC,0B1/2ḄBQ,ᑣN3=/l,Z4=Z2,"l\//l2,.AC//BD,.ZCAB+ZABD=\S00,.*.Z3+Z4=125°+85°-180°=30°,.\Zl+Z2=30°,)/l=/2+4°,.*.Z1=I7°,ூZ௃[⚪ὃ\]ḄឋR562>^%&9)562>?ᑁ%@⊡)562ᑁ┯%&9._`ឋa1bcdP⚪Ḅᐵf.12.g2021h•ᓭkl᪥nᨴὃp᝞T2qA8,AFsEQᡠv2ᑣ/I(Z3dᑁ┯%.

15£3ூὃ௃>^%ஹᑁ┯%ஹ>?ᑁ%.ூ!⚪௃wxTyz⚪)#ஹ%ஹ&'()wx6{.ூᑖ᪆௃᪷45|%ᑖ}ᙠvḄ52ᙠ5ᩩ62ᐹᨵ᪵^ᐵḄ%@ᑁ┯%ᑖ᪆PQᓽ:.ூPQ௃PRqAB,4sᓽᡠv2ᑣN1(N3dᑁ┯%2ᦑQᫀRZ3.ூZ௃[⚪⌕ὃ\ᑁ┯%Ḅ2ᳮPᑁ┯%ḄᭆdP⚪ᐵf.13.g2021h•ᓭl᪥nᨴὃp6ᙽ%᝞T2qNl=42°,ᑣN2Ḅᦪ132°.ூὃ௃Ḅឋ.ூ!⚪௃#ஹ%ஹ&'()%y)L,-)*ᳮ,-.ூᑖ᪆௃᪷4%yḄ᜜%ឋBCBCN4,ᯠJ᪷4ḄឋBPᓽ:.ூPQ௃PR᝞T2)/1=42°,)./4=/1+90°=42°+90°=132°,•.•6Ḅ5£@&2.*.Z2=Z4=132°,ᦑQᫀR132.ூZ௃[⚪ὃ\]Ḅឋ¤¥%yḄ᜜%ឋ2_¦§¨ḄឋdP⚪ḄᐵᏉ.14.g2021h•ª«l᪥n¬p᝞T2ᙠ®ABC2ᑖNCBA,APᑖNCA8,

16HDE//AB,!CB=6,AC=10,ᑣ®CDEḄᕜ±d16ூὃ௃%ᑖḄ)Ḅឋ.ூ!⚪௃#ஹ%ஹ&'()*ᳮ,-.ூᑖ᪆௃ᵫḄឋMᔠ%ᑖḄ:*³AE=PE,ᓽ:;£>E=BD+AE,=ᑭᵨ%yḄᕜ±¶·:;®COEḄᕜ±ᓽCB+4C,ᓽ:BP.ூPQ௃PR'.,DE//AB,:.NDPB=NPBA,ZEPA=ZPAB,ᑖ/CBA,APᑖNCA8,#.NDBP=NPBA,ZEAP^ZPAB,.NDPB=NDBP,ZEPA=NEAP,:.BD=PD,AE=PE,.DE=BD+AE,•:CB=6,AC=10,ACDEḄᕜ±RCD+DE+CE=CD+BD+AE+CE=CB+AC^6+10=16.ᦑQᫀ16.ூZ௃[⚪⌕ὃ\Ḅឋ2%ᑖḄ2¸¹dP⚪Ḅᐵf.15.2021h•ᔺ»lᨴὃp᝞T|±¼y½ᱏ¿EFᢚÁJ2஺ஹCᑖ}ÃᙠZACᜐ2ZAED'=40°,ᑣNB/C'=40°ூὃ௃Ḅឋ.ூ!⚪௃ÅஹÆÇ(È)*ᳮ,-.

17ூᑖ᪆௃᪷4TyᢚÁḄឋ2;N஺'EF=NDEF=*/DED'.NEFC=NEFC'./NBFC',◤NEFCஹZEFB.᪷4±¼yḄឋ2;AQ஻BC,N£>EF=NBFE,ZEFC=180°-ADEF.ÊBNEFCஹZEFB,◤NDEF,ËÌPÍÎ⚪.ூPQ௃PRᵫ⚪Ï;RZD'EF=NOEF=/NDED'2NEFC=NEFC'.VZAED'=40Q,.ZDED'=180°-ZA£D'=140°....NDEF=/NDED'=70%•.•Ð£yABC஺d±¼y2C.AD//BC.:.NDEF=NBFE=70°,/EFC=180°-ZDEF=\\0Q..ZEFC'=110°.AZBFC'=ZEFC-NBFE=110°-70°=40°.ᦑQᫀR40°.ூZ௃[⚪⌕ὃ\ḄឋஹTyᢚÁḄឋ2_¦§¨ḄឋஹTyᢚÁḄឋdPÍ[⚪Ḅᐵf..PQ⚪gᐳ5Ò⚪p16.&2021h•ᓭkl᪥n¬pÓᡂÕ☢*ᳮ0×2aᙠØÙÚᑏ*ᳮÜ4R᝞T2A£'_L8CÝ£>,EG_LBCÝG,NE=N3,Þß¹RAOᑖNB4c.¸¹RVADIBC,EG1BCZADC=ZEGC=90°gᚖ6p...AQ஻EGg>^%&9,56p./1=NEg562>^%%&9pZ2=Z3&562ᑁ┯%&9páN3=NEgâ³pZ1=Z2g9ãäᣚp...A஺ᑖN8ACg%ᑖḄp

18ூὃ௃Ḅᑨ(ឋ.ூ!⚪௃#ஹ%ஹ&'()*ᳮ,-.ூᑖ᪆௃᪷4Ḅᑨ*CAO஻EG,᪷4Ḅឋ;C=/2=/3,BCN1=N2,᪷4%ᑖḄ;Cᓽ:.ூPQ௃PR'AD±BC,EGLBC,.ZADC=ZEGC=90°gᚖ6p2J.AD//EGg>^%&9256p2...Nl=NEg562>^%&9p2Z2=Z3g562ᑁ┯%&9p2=gâ³p2=g9ãäᣚp2...4஺ᑖNBACg%ᑖp2ᦑQᫀRNEGC#AD#NE562>^%%&9)562ᑁ┯%&9)Z19ãäᣚ)%ᑖḄ.ூZ௃[⚪ὃ\]ḄឋᑨḄçᵨ2èÏRḄឋᨵRজ562>^%&92ঝ562ᑁ┯%&92ঞ562>?ᑁ%@⊡2ìíᯠ.17.&2021h•î□l¬p⊡ᐙÓᡂÕᑡ¸¹0×2aÚò*ᳮḄÜ4.â³R᝞T2NBEC=NB+NC.B¸RAB//CD.¸¹Ró±8E'C஺ÝF-ᑣNBEC=/EFC+NCg%yḄ᜜%9Ý(ôõ&öḄ5ᑁ%Ḅp,NBEC=NB+NC,.ZB=NEFC,g9ãäᣚpJ.AB//CD.gᑁ┯%&9256p

19,IBDூὃ௃Ḅᑨ.ூ!⚪௃#ஹ%ஹ&'()*ᳮ,-.ூᑖ᪆௃ó±8E'CZ'ÝF,ᑭᵨ%y᜜%Ḅឋ:;CN8EC=/EFC+/C,MᔠNBEC=N8+NC:;CNB=NEFC,ᑭᵨ“ᑁ┯%&9256”:¸CAB//CD,ᓽ:;CMù.ூPQ௃¸¹Ró±BE'COÝF.ᑣNB£C=/EFC+NC.g%yḄ᜜%9Ý(ôõ&öḄ5ᑁ%Ḅp.,NBEC=NB+NC,:.NB=NEFC,g9ãäᣚp...AB஻CQgᑁ┯%&9256p.ᦑQᫀR%yḄ᜜%9Ý(ôõ&öḄ5ᑁ%Ḅ2NEFC,ᑁ┯%&9256.ூZ௃[⚪ὃ\]Ḅᑨ¤¥%y᜜%Ḅឋ2ᑭᵨᔜ%Ḅᐵ2ûCNB=NEFCdP⚪Ḅᐵf.18.&2021h•ᓭkl᪥n¬p᝞T2AB,'ÝO,OELA8,OCᑖNAOE,0O1üOF,/OO=4/AOF,B/FOCḄᦪ.ூὃ௃%ᑖḄ)⚔%ஹö⊡%)ᚖ.ூ!⚪௃#ஹ%ஹ&'()L,-.ூᑖ᪆௃ᵫOE_LAB³N4OE=90°,=᪷4%ᑖ³NAOC=þNAOE=45°,ᐜᵫ
NAOD=135°,᪷NO஺=4/4஺N4OF=27°,ᵫ/0C=NAOF+ZAOCᫀ.ூ௃%0E_LA8,

20AZAO£=90°,0c
ᑖNAOE,AZAOC=1ZAOE^1X90°=45°,22.NBOO=NAOC=45°VZCOD=1800,AZAOD=ZCOD-ZAOC=180°-45°=135°,'ZDOF^4ZAOF,./AOn=/஺஺+/AOF=4/AOF+/AOF=5/AOF=135°,AZAOF=27°,.ZFOC=ZAOF+ZAOC=12°.ூ12௃3⚪5⌕ὃ8ᚖ:;
ᑖ:Ḅ=>?⚪ḄᐵABCDᚖ:E
ᑖ:Ḅ=>FG⚔ஹJ⊡.19.L2021M•ᓭPQ᪥SᨴὃUV?஺BW:ABXḄY1?OCJ_OE.\জL1U᝞\1,_/COA=34°,`N80EḄaᦪ.L2U᝞\2,cd:OCᙠW:A3fgh?OF5ᑖNAOE,ZBOE=130°,`NCOFḄaᦪ.L3UᙠL2UḄᩩjf?᝞\3,ᙠNBOEᑁlmd:஺M,oNCOM+pZ/AOE=2N10BOM+ZFOM,`NBOA/Ḅaᦪ.ூὃ1௃
ᑖ:Ḅ=>Ḅqrᚖ:.ூs⚪௃tu\vw⚪YxgyLzUF{ᵨ:}ஹஹ~:E
:r.ூᑖ᪆௃L1U᪷ᚖWḄᭆ`NCOE=90°,ᯠ᪷Ḅ;ᑡqrL2U᪷J⊡Ḅᭆ`NAOEḄaᦪ?ᯠ᪷
ᑖ:Ḅᭆ`/EOFḄa

21ᦪ?ᑭᵨḄ;ᑡqr`(3)N80M=x°,ᯠ᪷Ḅ;Fᦪᐵᑡgy`.ூ௃(1)VOCLOE,.ZCOE=90°,NCOA=34°,.ZBOE=\SO°-ZCOE-ZCOA=180°-90°-34°=56°,N3OEḄaᦪ56°(2):஺/
ᑖNAOE,ZBOE=130°,AZEOF=ZAOF=1ZAOE=1(180°-NBOE)=Ax(180°-130°)=25°,222.NCOF=NCOE-NEOF=90°-25°=65°,NCOFḄaᦪ65°(3)N8OM=x°,AZFOM=1800-NAOF-NBOM=(155-x)°,VZA(?£=180°-NBOE=50°,ZAOC=90Q-NAO"40°,.•.NCOM=180°+/AOC-NBOM=(220-x)°,ᵫ⚪(220-x)°+11x50°=2x°+(155-x)",10x=75,NBOMḄaᦪ75°.ூ12௃3⚪ὃ8Ḅ;qr?YᐗYxgyḄ{ᵨ?ᳮ
ᑖ:Ḅᭆ?ᚖWḄ=>?\?ᑭᵨḄ;ᐵᑡᡈgyB⚪ᐵA.20.(2021M•ᓭPQ᪥Sᨴὃ)᝞\?1OᙠW:EX?14ஹB<ஹCஹ஺ᑖ¢ᙠW:EF£¤?¥NAOB=120°,ZC(?D=70°.\1\2\3(1)᝞\1,_OC
ᑖNB஺஺?`NA஺஺Ḅaᦪ

22(2)᝞\2,ᙠ(1)Ḅᩩjf?0E
ᑖNA஺஺?§1஺md:OG_LOB,NEOGḄaᦪ(3)᝞\3,_ᙠN80CᑁlmYᩩd:0H,!NCOHNB0H=23,ZD0E=5ZFOH,¨ᑨªNAOEE/஺0EḄᦪ«ᐵ.ூὃ1௃
ᑖ:Ḅ=>Ḅqrᚖ:.ூs⚪௃:}ஹஹ~:E
:¬ᳮ.ூᑖ᪆௃(1)᪷
ᑖ:=>;ᕜB360஺/AOCḄaᦪ(2)ᑖ£®¯°c஺GᙠEFfghcOGᙠEXgh?qrᓽ(3)ᵫNCO”ZBOH=23,ZDOE=5ZFOH,/OOE=5a,ᑣNFO/7=a,³´ᔠ
ᑖ:Ḅឋ·ᵨa⊤¹NCO///BOCḄaᦪ?`NAOEENQOEḄaᦪ.ூ௃(D:஺(7
ᑖ/º஺஺?AZBOD=2ZCOD=2X10°=140°,VZAOB=120°,NAO£>=360°-ZAOB-ZBOD=360°-120°-140°=100°.(2)cOGᙠEFfgh?\2
ᑖNAO஺?ZAOD=100°,•1•ZA0E=yZA0D=50o'■:OGLOB,...NBOG=90°,AZAOG=ZAOB-ZBOG^120°-90°=30°,AZEOG=ZAOG+ZAOE=2)0Q.cOGᙠEFXgh?

23\2TOE
ᑖNAOQ,ZAOZ)=100°,AZAOE=JZAOD=50°'/OGLOB,...N3OG=90°,•..NAOE+NAO8+NBOG+NEOG=360°,NAOB=120°,.ZEOG=360°-50°-120°-90°=100°(3)DOE=5a,ᑣ»OH=a,\3.ZCOH=ISO°-ZDOE-ZCOD-ZFOH=\lO0-6a,.ZBOC=275°-15a,.•.NAOD=360°-ACOD-ZBOC-NAOB=360°-70°(275°-15a)-120°=15a-105°..ZAOE=\Oa-105°..ZAOE=2ZDOE-105°.ூ12௃3⚪5⌕ὃ8aḄ;qr?
ᑖ:Ḅឋ·¼?´ᔠ\v½ᑮa¿ÀḄ;ᐵB⚪ᐵA.

24ὃ1ᓱᱏ1.
ᑖ:Ḅ=>L1U
ᑖ:Ḅ=>YÃḄ⚔1Ä?ÅÆÃᑖᡂ~¼Ḅ£ÃḄd:ÈÉÆÃḄ
ᑖ:.L2Uឋ·_஺CBÊ40BḄ
ᑖ:ᑣ/AOC=ZBOC^^ZAOBᡈ/AOB=2/AOC=2/BOC.2L3U
ᑖḄgËᨵÍÎ?᝞a«ËஹᢚÐËஹÑÒm\˼?⌕ÓÔÕ?ÎÖ×ØÙ.2.ḄqrজNAOBBNAOC;NBOCḄ;?ÚmZAOB=ZAOC+ZBOC.ZAOC^ZAOB80cḄ?ÚmZAOC^ZAOB-ZBOC.ঝ_d:0CBNA02Ḅܼᑖ:?ᑣ/A03=3/B0CᡈN80C=JLN40B.3L2UaஹᑖஹÝḄÞßr.ᙠàaᑖÝḄÞßh?⌕áaEa?ᑖEᑖ?ÝEÝ~Þß?ᑖÝ~Þ?⌾60⌕àã?~ßh?⌕ä1ᓄ60.L3UaஹᑖஹÝḄæ◀r.জæËaஹᑖஹÝᑖ¢~æ?´è⌾60⌕àã.ঝ◀ËaஹᑖஹÝᑖ¢é◀?ÅêYxḄëᦪᓄmfYSᓫãàYíé◀.3.G⚔ஹJ⊡L1UG⚔ᨵYÃîᐳ⚔1?ð¥YÃḄ£ñᑖ¢BòYÃḄ£ñḄóᔣõö:?ᐹᨵÆ®ãøᐵḄ£Ã?ùG⚔.L2UJ⊡úᨵYᩩîᐳñ?ûüḄòYñùóᔣõö:?ᐹᨵÆ®ᐵḄ£Ã?ùJ⊡.L3UG⚔Ḅឋ·G⚔~¼.L4UJ⊡Ḅឋ·J⊡ù⊡?ᓽ;180°.

255J⊡ஹG⚔ᡂGý?ᙠ~W:þ?YÃḄJ⊡ᨵ£Ã.J⊡ஹG⚔ÿ
ᢣḄḄᐵ.ᙠ
ḄᡂḄ.4.ᚖ1ᚖḄ!"ᩩ
ᡠᡂḄ%&ᨵ()*+ᩩ,
ᚖᐸ&ᩩ./0ᩩḄᚖḄ1./ᚖ2.2ᚖḄឋ4ᙠ5☢ᑁ81ᨵ9:ᨵᩩ;<ᚖ.=>?“ᨵ9:ᨵ“&''ᨵ"ᢣ“Cᙠ”“:ᨵ”ᢣ“E”“81”Ḅ1ᙠFᡈ᜜IJ.5.1ᑮḄLM11ᑮḄLM?᜜1ᑮḄᚖNḄOP./1ᑮḄLM.21ᑮḄLMOPQRS)ᚖNḄOPQᚖN.:TUVᡈWVQT*XVXVḄᚖN+R.6.Yஹᑁ┯ஹY\ᑁ1Y?ᩩ]^_ᩩᡠ`ᡂḄ&aᙠḄYbc9ᙠ^_ᩩd`eḄY\ᑣ+᪵./Y.2ᑁ┯?ᩩ]^_ᩩᡠ`ᡂḄ&aᙠḄhic9ᙠ^_ᩩd`eḄ\ᑣ+᪵./ᑁ┯.3Y\ᑁ?ᩩ]^_ᩩᡠ`ᡂḄ&aᙠḄhic9ᙠ^_ᩩd`eḄY\ᑣ+᪵./Y\ᑁ.4_j&ḄkQYஹᑁ┯ᡈY\ᑁlᐰᵫoᙠR&Ḅ
p.ᙠqᩖḄR&ᑨt_u(vwḄxᐭzᐹᨵF|ᐵḄ}ᨵxᙠYF~ᓽ`0᜜QᙠYFḄxᡠᙠḄᓽ]`Ḅ.YḄx᪀ᡂ“F”ᑁ┯Ḅx᪀ᡂ“Z”Y\ᑁḄx᪀ᡂ“U”.7.5ᳮ15ᳮ?8᜜1ᨵ9:ᨵᩩ+ᩩ5.25ᳮ&⌕ᳮ“ᨵ9:ᨵ”Ḅ!.wRḄP*“T:TXV

26ᩩ”Ḅ>.3?᝞ᩩ^_ᩩ5o+ᩩS,
5.45ᳮḄIJ/5Ḅᑨᙠ⚪&⌕=>ᙠ5(vᵨ.8.5Ḅᑨ1ᳮ1ᩩ]^_ᩩᡠ`᝞Y
o+ᩩ5.ᓫ*ᡂ:Y
5.2ᳮ2ᩩ]^_ᩩᡠ`᝞ᑁ┯
o+ᩩ5.ᓫ*ᡂ:ᑁ┯
5.3eᳮ3ᩩ]^_ᩩᡠ`᝞Y\ᑁ,⊡o+ᩩ5.ᓫ*ᡂ?Y\ᑁ,⊡5.4ᳮ4ᩩ£^_ᩩ5o+ᩩ5.5ᳮ5ᙠY5☢ᑁ᝞ᩩY(ᚖ¤Yᩩo+ᩩ5.9.5Ḅឋ41ஹ5ឋ4ᳮᳮ1ᩩ5]^_ᩩᡠ`Y
.ᓫ*ᡂ?5Y
.ᳮ2ᩩ5]ᙢ_ᩩᡠ`Y\ᑁ,⊡..ᓫ*ᡂ?5Y\ᑁ,⊡.ᳮ3ᩩ5]^_ᩩᡠ`ᑁ┯
.ᓫ*ᡂ?5ᑁ┯
.2ஹᩩ5hiḄLMᜐᜐ
.10.5Ḅᑨឋ415ḄᑨᵫḄᦪUᐵᑨ¨Ḅᐵ.5Ḅឋ4ᵫ5ᐵᩭª«ḄᦪUᐵ.2vᵨ5Ḅᑨ£ឋ4ᳮ(⌕¬⚪®£ᑗ°±².35Ḅᑨឋ4Ḅὶ´t´t?ឋ4ᵫᑮᦪᵨ¤µḄᐵc¶·¸ᑨᵫᦪᑮᵨ¤ᑨ5.ὶ?ឋ4ᑨḄ;<£¹º
»Ḅᐵ5
ᐵ.4¼½¾¿ÀV55ḄᡈVὶḄ`᪀⌼V_u.

2711.5hiḄLM1
5hiḄLMwᩩ5FḄÂ>1ᑮ0ᩩᚖᚖNḄOP.ᩩ5hiḄLM.d2
5iḄLMᜐᜐ
.12._ᐰḄᑨ1ஹÃx£ᩩxv
Ḅ_ᐰdIJᑏᡂ“Ãxஹx"ᡈ“}”e.2ஹ_✌ᐜ_ᡠJÇ_ᐰḄᑨ〉ᔠY(_ÊᱯÌḄ_ᨵḄᱯÌឋ“Í”ᳮ)_ÎᨵḄᑨ.ᡠJ_ḄᑨᨬÐÑᵨ(vᢕÓ“”+◚Ḅ;<ᩩÕ.13.5ᑖḄឋ45ᑖḄឋ4?Ḅ5ᑖFḄ1ᑮḄxḄLM
.=>?জ+ØḄLMᢣ1ᑮḄxᚖNḄO¸ঝឋ4IJÎÚᩩN
ḄÛÜᨵ(Q}ᐰ¸ঞÑᵨḄᩩÕR&ᨵ5ᑖᨵᚖ5ᑖḄឋ4Þ?᝞RᙠNA08Ḅ5ᑖFCDLOA,CE±OB.CD=CE14.Ὺ_Ḅឋ4d1eῪ_Ḅᭆáᨵᩩx
Ḅ_./Ὺ_.d2
Ὺ_Ḅឋ4জῪ_ḄῪ
ঝῪ_Ḅâ
.ூä?x௃ঞῪ_Ḅ⚔5ᑖஹâxFḄ&ஹâxFḄç
,èᔠ.ூ_ᔠ௃d3
ᙠজῪ¸ঝâxFḄç¸ঞâxFḄ&¸ট⚔5ᑖ.JF%ᐗë&w&Â>ìVᐗë"ᡂᩩÕ)IJíᑮ0᜜ᐗë.15.îäRd1eîäRḄᭆá?᝞Rïᩩᢚñ\ḄòᑖTó,
èᔠ+R./îäR,

28+ᩩ./äî+(ᡃSIJ*+Rᐵ¤+ᩩ(ᡂî)ä.(2)îäR┐RḄᐹᨵᱯÌឋ4R]ᩩᑖᒘᡂḄòᑖïḼäîᢚñ(,
èᔠ?îäRḄäîIJᩩSIJÐᩩûüýᦪᩩ.(3)ÀþḄîäR?Ὺ_ÿ

Ὺ
ᙊ.16.(1)180°,᝞ḄᩭḄ"ᔠ
$%&'()
&().*+,-./
0123Ḅᐵ5
60ᢣ89Ḅᱯ
&;*+<ᑖ
>?ឋAB/
;ᵨDB/.(2)EFḄGHIJஹᙊஹஹL.