2022-2023学年上海市中考数学专项提升仿真模拟试题（一模二模）含解析

《2022-2023学年上海市中考数学专项提升仿真模拟试题（一模二模）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。

2022-2023
ὃᦪ⚗ᓣ⚪.⌱⚪ᐳ6⚪ᑖ24ᑖ⚪4ᑖ1.4ᑖ2021•11000Ḅᙽ!ᙢḄ☢$%260&'ᔖ)ᑣ+ᙢḄ,▭☢$%&').A.B.260000000C.26000D.2.4ᑖ2021•/0᝞ᙠ&☢34ᙶ᪗78%஺:Ḅ3;8Ḅᙶ᪗%3.4ᑖ2022•?▨ABCDE=1,F=2,GHIJḄ'ᔣLMNOPᑡRS8TUḄ%Aa=2bB.a=-2bCb-2aD.b=2&4.4ᑖ2021•ᦻWF34X4!Y34Z[5,12,ᑣ\Ḅ]A.6B.8C.—D.^13135.4ᑖ2021•_`abᦪd1,0,4,5,x,8.0,ij2-2a+1Ḅh
A.0B.1C.V5+1D.3-75A.⚪ᐳ12⚪ᑖ48ᑖ⚪4ᑖ7.4ᑖ2021•CD8=8,%Z8ᑖᒘ>PA>PB,IḄZ.8.4ᑖ2022•aBk᝞ᙠRtZUBC8/Z=90°,8cḄᚖ3&ᑖZC~>஺8஺4D=LB஺,ᑣtan//8cḄh.3

1BAC9.4ᑖ2022•Fᓅ•Bᜧᖪsᔾ¡¢£l¤ᙠ¥ᖪqឋ§¨100ᐗḄ¡¢«¬q᤯ᝄ°±᤯ᝄ£ᑣ᝞P²³´µḄ¶·¸ᨵ1²ºᳫஹ2²ᳫஹ5²¾ᳫஹ12²¿ᳫᡠᨵᳫ◀Â⁐᜜ÅᐰLÇᐙᑖ᣾ᒴËÌ8ÍÎÏÐᳫ<ÏÐḄᳫᑖÑ%ºஹஹ¾ᳫ¡¢ÒᑖÑÓÔ50ᐗஹ25ᐗஹ20ᐗÕ<ÏпᳫᑣÖᨵᝄ.G%à/8CḄãäå>G_...■■—♦ᑖÑ45ஹACஹEஹF,᝞éEF=@NOBC=.ABC11.4ᑖ2021•ᓭðaᨴὃ᝞ᡠóᖪ⌕ᙠõöAõJ÷øùᢄû8C,CDõIAõJ÷Ḅᙢ☢][ý3.5)ᢄû2cḄᚁi=JE3,ᑣᢄ8cḄ.C_______Y12.4ᑖ2021•!᝞#$%&ᛞ$()*+,-Ḅ./01$)198834ᡂ$6ᛞ789:;ᛞ$᝞<=Ḅᙢ?7@A2ḄB:CD$EFG9ᙢ?Ḅᕜ7.13.4ᑖ2021•IJK!LM஺/Ḅ@A5,ᙊRS4,3,ᙶ᪗VW஺X஺SḄ(Yᐵ[7.14.4ᑖ2021•\□^!᝞

2g9hiḄW$EFᵨḄk15.4ᑖ2022᧡•ᩰn^᪥pI஺Z8CDḄᕜ64cm,8Cvw/E=6cw,CDvw/F=10CM,ᑣy8஺Ḅ☢{.16.4ᑖ2021•ᐶᓄK!᝞#$LM~ᦪyi=ax2+bx+caWOX8ᦪy2=kx+m*W0Ḅ#)W/-2,488,2,xk$Sy\,”IḄᨬᜧk$ᑣSḄᨬk7.17.4ᑖ2021•^!᝞#$BDḄ;a)WO,BDXBD/8C஺ḄC$g9BDḄᑖ▢ᑖḄ☢{▢$ᑣBD48஺஺Ḅ☢{.18.4ᑖ2021•¡n^!᝞#$ᙠy/8CI$AB=4,AC=5,4BC4£¤$¥W8¦ᙠ/CCvḄW஺ᜐ$WC¦ᙠWEᜐ$᝞

3ÄÅƹᚁÇÈḄÉÊ·ËÌÍÎÏÐÑḄ8ÒºvÓᢈ⚗Ö.᝞#7×·¸¹ºØÙÚḄÛÜ☢ÝÞ#$×8(YḄßàaXâ$Å·¸ãW½ÏßàaḄᚖayâ$4åà☢æ;ᙶ᪗[.#IḄ_ᱥay=-=x2©X+1çè⊤ݹºÚᙢvḄ8êJᚁ$×ëÎᕒíWOBv3Ḅ½W¹î$¹îïð8ª_ᱥaC2ñ¿29+஺ëÎ’óëÎᕒëÎᑮõ/ᜐḄßàÌÍ4ö$õßàaḄw7.1÷_ᱥaC2Ḅᦪø᪆úû2óëÎᕒXWSḄßàÌÍ7üýö$ëÎᕒJᚁᑮßàaḄwiû3ëÎᕒí/W¹îïæþJᚁᑮßàaḄwiö$ëÎᕒXJᚁḄwÿᨬᜧ21.10ᑖ2021•᪥᝞ᙠ8஺ᡠᙠḄ$%ᚖ$'ᑖ%(ZC,,-///0஻8c3CD506788ஹDC#ஹE.1:;NE4Z=90°,AE=5,AF=3,:CFḄ7.22.10ᑖ2021•F□HIJ“L⌕NNOPI-᰿RSTUᡂWXḄNY”.[ᓫ]ᑭᵨ“RSO⊈a”bcdefO⊈ghi,jkO⊈ὅ⊈mᨵ“oBஹAB.O”qrmstuvwᑖO⊈xyz{|},᪷xyᑴ/᝞᦮|}⊤⊤ஹ.⊈m|}⊤<⊈m^ABABO

4Nᦪ105⊈m|}<(1)stuvO⊈ὅNᦪNt=<(2)⊡ᐰ⊤Ḅᦪ(3)>ghᓫ]ᨵ1300NefO⊈}ᜧᨵN/m⊈23.(12ᑖ)(2022᧡•□᪥ᨴὃ)᝞஺OḄ$-C,஺஺஺-,CE஺஺Ḅᑗ%CELBDE,8C3/஺5-F.(1):;<-CADḄ-(2)>¡¢:tanḄ¦.BF324.(12ᑖ)(2021•§¨)᝞ᙠ'☢$ªᙶ᪗®ᱥ%᜛=x2+bx+c´$%4B#A,8-ᐸ4(0,1),B(4,-1).(1):®ᱥ%Ḅ·ᦪ⊤¸¹(2)-P,஺$%48»¼®ᱥ%½¾-¿ÀÁ-PḄÂᙶ᪗஻?-஺ḄÂᙶ᪗t+1,,-0Ä-0ᑖÅ/yÇḄ'{%3$%N85C-Ä஺-00,:PQDC☢ÈḄᨬᜧ¦(3)ᙠ(2)ḄᩩÊ»T®ᱥ%y=/+6x+cÌÍ%48'Î2ஹÏÐᓫ]ÑᑮÓḄ®ᱥ%Ô1,-E-PḄÕÖ--0yiḄÕØǽ¾I--G'☢$ªᙶ᪗ᑁI-Û-5,E,F,G᪀ᡂÞEFḄßà$ᑏPᡠᨵâᔠᩩÊḄ-GḄᙶ᪗ä½⌱ᐸIÐ-Ḅᙶ᪗ᑏP:æ,ç.

5ᜓᵨ25.14ᑖ2022᧡•è□᪥ᨴὃூJm᪀ê௃᝞1,ᙠN8CDZABC+Z/OC=180°,AB=AD,/ZCD=45°,AC=3,.:/8C஺Ḅ☢È.ììíîḄïð<678ñE-òOE=8C,x/E.᧕;ô/8Cõô/£>£zøùABCDḄ☢ÈúᓄḄ☢ÈᑣABCDḄ☢È.ூÖᵨ௃᝞2,OOôý8cḄ᜜ᙊ48ZC=8C,஺48Ḅᙊ஺4,DB,DC.C£>=4,NQ8CḄ☢ூᮣ#$ᵨ௃᝞(3,ᙠ/D8C-.“8ஹCD,NC4B=N4CB=NBDC=60°,ADBCḄ☢14ᡃᑣ45CD=.(I(2(3

62022-2023
ὃᦪ⚗ᓣ⚪.⌱:⚪<ᐳ6>⚪?ᑖ24ᑖA>⚪4ᑖB1.<4ᑖB<2021E•GHIJKBLMNO11P1000Ḅ(QᙽSᙢIḄ☢260VWᔖYᑣZᙢIḄ[▭☢

7ltx=2-a,y=-b,•"ᙶ᪗1<2-a,-b.ᦑ⌱PA.ூx௃y⚪ὃzᙶ᪗(ឋ|ᮣ#$ᵨ45Ḅ-ᙶ᪗l⚪Ḅᐵ¡.3.4ᑖB<2022•¢▨I¤¥B¦§¨=1,©=2,ª«gḄWᔣa®¯°ᑡ.²-³´Ḅᑮᜧ᣸ᑡ10,1,4,5,8,ì1íᦪjᨵ6éᦪ

8ìîÜᦪjḄ-oᦪ3ᡠÕäᨵ\+4=2ã3ñᡂóᓽx=2.ᦑ⌱PA.ூ
௃y⚪ὃz-oᦪPôÜᦪjᢥ᯿ç>ᑮᜧ<ᡈçᜧᑮ>BḄøù᣸ᑡ᝞úᦪjḄéᦪ᜻ᦪᑣᜐi-ýoþḄᦪÿ
ᦪḄᦪ᝞
ᦪḄᦪᏔᦪᑣᦪḄᙳᦪ
ᦪḄᦪ.6.4ᑖ2022•!"#ᵫ“6᪀⌼Ḅ()*ᦪy=./+1a+b
x+b123)*ᦪy=ax+6Ḅ“56*ᦪ”.83)*ᦪஹ=:+6Ḅ“56*ᦪ”-3x+a+l,fᐵAxḄBC/+D■+a-b=0Ḅ᪷Gf>0,ᑣᡝ-2»+1ḄLMA.0B.1C.⍩+1D.3-75ூὃ
௃UᱥWXxYḄZ[\3)*ᦪḄឋ^.ூ`⚪௃()*ᦪcdeᐸឋ^ghijkᳮij.ூᑖ᪆௃᪷“56*ᦪ”Ḅ"#mno-3x+a+l=/+1
,pqmnᐵA,a+bx+ba6Ḅ(ᐗ3)BCstu6ḄLvqsw.w-.'y^ax+bḄ“56*ᦪ”y=a/-3x+a+\,Aax2-3x+a+l=ax2+1a+b
x+b,ᓽJ"+஺3,lb=a+lwn|=-2,lb=-l•:tᐵAxḄBCf+bx+a-b~0Ḅ᪷-t~1—0,.".r3-2p+l=ft+l-2d+l=-+/+1=-1+1=0.ᦑ⌱A.ூ
௃⚪ὃ*ᦪḄ"#⚪w⚪ᐵᳮw⚪᪷“56*ᦪ”Ḅ"#tᐵ.(.⚪ᐳ12⚪ᑖ48ᑖ⚪4ᑖ7.4ᑖ2021•”=8,48¡ᑖᒘ[PA>PB,ᑣ£Ḅ¤M_4⍩ூὃ
௃¡ᑖᒘ.ூ⚪௃¦h⚪.ூᑖ᪆௃᪷¡ᑖᒘ[Ḅ"#ᡃ¨¤W©\ᑣ£=ª(08,«ᐭᦪᓽm.2wᵫAPMW©/8=8Ḅ¡ᑖᒘ[

9G£®8,¯—]=45-4.±IJ24=8X2ᦑ⚪4^/5-4.ூ[³௃ᳮw¡ᑖᒘ[Ḅᭆµ.¶·¡¸ḄLv¹¦h.8.4ᑖ2022•º»¼!᝞cᙠRtZXZBCN4=90°,Ä8cḄᚖÇᑖWZNCA[£,ÉÊB஺AD=6D,ᑣtan/ZBCḄLM_Ì_.3BACூὃ[௃wÇÍÎÍÏ\W©ᚖÇᑖWḄឋ^.ூ`⚪௃¦h⚪\wÇÍÎÍÏeᐸÐᵨ\ghij.ூᑖ᪆௃ᑭᵨW©ᚖÇᑖWḄឋ^ÔÕBDXCDḄᐵÖᙠRtLABDᑭᵨ×Ø"ᳮstᨬÚᙠRtZ\/8Cst/Z8CḄÜᑗ.w8CᚖÇᑖWÞḄ[:.BD=CD.ßḄ¤M"7,ᑣ8஺=8=3WAC=4m.ᙠRtAJSO/8=\102_º02=V9m2-m2=2⊈m.ᙠRtAJSCtanN/8C=£AB-4m2V2mூ[³௃⚪ὃæwÇÍÎÍÏçè×Ø"ᳮeÇÍÎÍÏḄéÍᐵwê⚪Ḅᐵ.9.4ᑖ2022•ëᓅ3íᜧïᖪñMæᔾóôõö"÷ᙠᖪñ3)ឋøù100ᐗḄôõm£úû3)᤯ᝄþÿ᤯ᝄᑣ᝞Ḅᨵ1ᳫஹ2ᳫஹ5ᳫஹ12ᳫᡠᨵᳫ◀⁐᜜!ᐰ#$ᐙᑖ᣾ᒴ)*+,-./

10ᳫ1./Ḅᳫᑖ23ஹஹᳫ456ᑖ27850ᐗஹ25ᐗஹ20ᐗ;<1./ᳫᑣ=ᨵᝄ.1?@45ᨵ-ABC᤯ᝄDEᑣFGBHIḄJᙳᦈMN10ᐗ.ூὃQ௃STJᙳᦪ.ூV⚪௃ᦪXḄᦈYH᦮ᳮ\ᦪXᑖ᪆^_.ூᑖ᪆௃`/a᥎ᳫ᥎ᑮᳫஹᳫஹᳫdᳫḄᭆ᳛gh7ᝄḄJᙳᦈMijCᩗJᙳᦪḄlm`8.n50Xp^+25x2+20X-L+0Xv=10xᐗy20202020zFGBHIḄJᙳᦈMN10ᐗ.ᦑ10.ூQ|௃}⚪ὃ~ᭆ᳛ḄSdCᩗJᙳᦪḄSlmᳮn7ᝄJᙳᦈM▭3`ᔜᝄ⚗ḄCᩗJᙳᦪ.10.x4ᑖyx2022᧡•<᪥+y᝞QG3/BCḄQGE஻8C,ᑖ248ஹ4CEஹF,᝞EF=aghBC=_¢3_.ூὃQ௃¤¥¦Ḅ\*J☢ᔣª\J«¬Ḅឋ®.ூV⚪௃¤¥¦\¯ᳮ°±\²ᵨ´µ.ூᑖ᪆௃¶·NG,¹º/G8c¼QT.ᵫE¿஻BC,¯/À•=£⁐=2,¯/Â=2EBGTAB3¯/Ä=9=2,i8ÆÇ.BCAB3n¶·/G,¹º/G8c¼Q7.348CḄ:.AG=2GT,,:EF஻BC,•AE_AG_2"EBÊ’.AE_2••---,AB3.EFAE_2==*'BCABT

11:.BC^—EF,2—♦QfBC=9a.2ூQ|௃}⚪ὃ~¤¥¦ḄJ«¬Ḅឋ®J«¬ᑖ¬ÍᡂÏÐÑᳮÒÓµn⚪ḄᐵÕ3Öפ¥¦Ḅឋ®ᮣDÙᵨᡠÚÓµnÛÜ⚪.11.x4ᑖyx2021Ý•ᓭßàᨴὃy᝞ᡠâ?ᖪä⌕ᙠçdèçéêëìᢄî8C,ïÓçHèçéêḄᙢ☢ñòóN3.5ôᢄî8cḄᚁòiS3,ᑣᢄî8cḄºòN7ô.ூὃQ௃nø¥¤¥¦Ḅ²ᵨ-ᚁòᚁ¥Ü⚪.ூV⚪௃nø¥¤¥¦ùᐸ²ᵨ\²ᵨ´µ.ூᑖ᪆௃᪷XᚁòḄᭆ_ஹüᑗḄÑþjùᱯ
Ḅ
ᦪ᪷30°
Ḅ

Ḅឋᓽ.ᢄ8cḄᚁ!"#3,3.*.Z5=30°,:.BC=2X3.5=1*+,-ᦑ7.ூ12௃4⚪ὃ7Ḅ8ᚁḄᭆ:-;<ᚁ8ᚁ☢Ḅ>?@ABCD/ḄF8⚪ḄᐵH.12.*4ᑖ,*2021M•OPQRS,᝞U-VWᛞ-YZOP[\]^Ḅ_`ab-Z1988deᡂ-gᛞ8hij
ᛞ-᝞klḄᙢn8op!2+Ḅqjr-stuiᙢnḄᕜw812+.

12ூὃ1௃qxrAᙊ.ூz⚪௃qxr{ᙊ|ᵨ~.ூᑖ᪆௃ᵫqjrḄop!2,ᑣ04=08=2+ᵫ//஺8=60°,@஺88r
-ᑣZ8=O/=O8=2+-ᓽk.᝞Uᡠ•.•qjrḄop!2+-:.OA=OB=2+-...qjrḄ
NZO8=3600=60஺,6.../O88r
-.,.AB=OA=OB,."8=2+-•••qjrḄᕜw!6X2=12*+,ூ12௃4⚪ὃ7qjrḄឋஹr
Ḅᑨ{ឋqxrḄ⚪,xr⚪ᓄ!Ὺ
ᡈ

ᩭ.13.*4ᑖ,*2021M•RS,¡Ḅop!5,ᙊ@*4,3,,ᙶ᪗¤1஺{OAḄY¥ᐵ¦8ᙠ¨.ூὃ1௃1{ᙊḄY¥ᐵ¦ᙶ᪗{Uឋ.ூz⚪௃{ᙊᨵᐵḄY¥ᐵ¦ªᳮ¬@.ூᑖ᪆௃ᐜ᪷®1¯Ḅ°±²³04ᯠµ᪷1{ᙊḄY¥ᐵ¦Ḅᑨ¶·ᑨ¸1஺{ONḄY¥ᐵ¦.1/Ḅᙶ᪗!*4,3,,***OA¹+32=5,

13:op!5,:.OA^r,.•.1஺ᙠGM¨.ᦑᙠ04¨.ூ12௃4⚪ὃ71{ᙊḄY¥ᐵ¦1{ᙊḄY¥ᐵ¦ᨵ3¼.½஺஺Ḅop!¾1PᑮᙊḄ°±0P=d,Â1Pᙠᙊ᜜Â1Äᙠᙊ¨od=rÂ1Pᙠᙊᑁod

14ூ12௃4⚪ὃ7CóôrḄឋ-CóôrḄ☢ò¡-⚪ḄᐵH8ᑡ¶÷ø⚪-üýᓄḄþÿ
ὃὃ⚪.16.4ᑖ2021•ᐶᓄ᝞ᦪyi="x2+6x+c஺r0*+ᦪy2=kx+m&¥0Ḅ/0124-2,4588,2,789x:;<S>:ᡝḄᨬᜧ<ᑣSḄᨬC

15ூὃ2௃uvwḄឋHIᐰ{wḄᑨ*ឋH.ூO⚪௃wwuvwIRᳮTU.ூᑖ᪆௃᪷XuvwḄឋHZm08=0C,NOBA=NOCB=45:ZBOC=ZA'OC=90°,Rm/408=/C0C,mOBMg/XOCNYZᫀ.cdI~w48co5~w0/0஺Duvw:.OB=OC,NOBA=/OCB=45°,/80C=N4OC*=90°,N4'0B=NC0C.ᙠ08M*OCNZOBA=ZOCB•OB=OC,ZBOM=ZNOCOBM^AOCN1.ASA
,~wOMBNḄ☢{wBOCḄ☢ᓽ▢ᑖ☢o>DuvwABCD5uvwA'B'CO☢Ḅ4uvw4᜛஺0Ḅ☢f44.ᦑ4ூ2h௃i⚪⌕ὃj¢uvwḄឋHஹᐰ{wḄᑨ5ឋHc¤o¥ᑣwḄ☢⌕¦§ᑖᒘwᑭᵨᐰ«¬ᓄ{wo¥ᑣw¬ᓄf¥ᑣw`bc.18.4ᑖ2021•®¯t᝞ᙠZ8CAB=4,AC=5,°/8C±24²¬28³ᙠNC~JḄ2஺ᜐ2C³ᙠ2Eᜐ᝞µ2£ា¸ᙠ|¹8஺ḄºூO⚪௃wḄᐰI»¼ஹ²¬*z½IwḄ0¾IRᳮTU.

16ூᑖ᪆௃᪷X²¬ḄឋHZᑮ/஺=U8=4,AE=AC=5,ZBAC=ZDAE,᪷Xᐰ{wḄឋHZᑮ/C=/E,DE=BC,᪷X0¾{wḄឋHᓽYZᑮÁ9.cd...°/BC±2/²¬28³ᙠ4C~JḄ2஺ᜐ2C³ᙠ2Eᜐ/8=4,AC=5,AD=4B=4,AE=AC=5NBAC=NDAE,f:./\BAC^/\DAESAS
,:.ZC=ZE,DE=BC,•:4BDC=/ADE,:./\ADE^/\BDC,.BC_CD••—+FAEDE.BC_5-4••——--,5BC:.BC=0ᦑூ2h௃i⚪ὃj¢²¬ḄឋHᐰ{wḄᑨ5ឋH0¾{wḄᑨ5ឋH,ÆÇÈɲ¬ḄឋHᳮDc⚪Ḅᐵl..c⚪ᐳ7C⚪Ëᑖ78ᑖ19.10ᑖ2021•ÌtÍÎdcot30஺-2sin600-ta*50sin300+COS2450ூὃ2௃ᱯÒ{Ḅ{ᦪ<.ூO⚪௃ÓᦪIÔÎTU.ூᑖ᪆௃ÕᱯÒ{Ḅ{ᦪ<ÖᐭÍÎᓽY.cdcot30஺-2sin60°-tan45°sin300+cos5°2G0-1=M-V3-1

17=1.ூ2h௃i⚪ὃj¢ᱯÒ{Ḅ{ᦪ<ÆÇÈÉᱯÒ{Ḅ{ᦪ?#ᱥcBy=-Lx?+bx+c23J23ᕒ23ᑮL4ᜐḄNO4:PLḄQ9NoT7:.V1XY#ᱥC2Ḅ[ᦪ]᪆_`V2XJ23ᕒaNḄNObcd:P23ᕒe/0ᚁᑮḄQTfgBV3X23ᕒ54)<=he/0ᚁᑮḄQTfgP23ᕒa/0ᚁḄQTiᨬᜧbcd:lூn⚪௃qr[ᦪḄsᵨ`sᵨu.ூᑖ᪆௃V1X᪷x⚪yV0,4XeV4,8X}ᐭC2By=-L2+6x+cY<6ஹcḄ8ᓽᑏ

18஽X16+4b+c=0oc=4]Bb,,c=4#ᱥCḄ[ᦪ]᪆_By=-`+3X+4`282(2)J23ᕒe/0ᚁᑮḄQTfgP--Lj^+Z-x+l=-32+x+4,12682᦮ᳮBx2-8%-72=0,]Bxi=4+2722,X=4-2722()2...J23ᕒaḄNOb4+2¡P23ᕒe/0ᚁᑮḄQTfg`(3)23ᕒa/0ᚁḄQTi¢£Uh=--X2+—X+4-(--^-x2+—x+1)=--^-x2+—x+3=-(x-4)2+-^-,82126243243B-§0,24.•.Jx=4P஻ᨵᨬᜧᨬᜧ«3,3...23ᕒa/0ᚁḄQTiᨬᜧb23:.3ூ¬௃⚪ὃ¯qr[ᦪḄ°ឋ±ᐸsᵨ²³´µqr[ᦪḄ°ឋ¶·y¸▭º⚪aqr[ᦪ»¼f½ᔠb]¿⚪ḄᐵÁ.21.(10ᑖ)(2021•ÃÄÅ᪥ÇÈÉ)᝞ᙠÌÍÎ/BCD"8஺ᡠᙠḄᚖᑖ?/C,Z8cÔ8ÕÖ×Øᨴ8ஹDC#E.(1)YÚB4CᑖNE/F`(2)YÚBZFAD-Z£`(3)ÞNE4O=90°FAE=5,AF=3,YCKḄØ.ூὃ௃áῪãÎḄᑨåaឋ`æḄឋ`?ᚖᑖḄឋ.ூn⚪௃áῪãÎaãÎ`çᳮ·.ூᑖ᪆௃(1)᪷x?ᚖᑖḄឋᑮ±l=8C,᪷xáῪãÎḄឋᑮ/

19BAC=ZBCA,᪷xæḄឋᑮ/஺F=N8C4,áé}ᣚÚë½ì`(2)᪷x?ᚖᑖḄឋᑮ஺/=Z)C,᪷xáῪãÎḄឋᑮND4C=/DCA,í᪷xãÎḄ᜜ឋÚëᓽ`(3)᪷xãÎḄᑁeåᳮᑮNE+N/OE=90°,ᵫ(2)NE4D=NE,YZAFD=NAFE=9Q:᪷xðñåᳮᑮ£ò=JAE?-AF?=%஺ò=x,Y஺ò=ᑮ/஺=óôå=a᪷x?ᚖᑖḄឋᑮ4)=8=aÕbᑮ½ì.(1)ÚëBB8஺ᡠᙠḄᚖᑖ?4C,:.BA=BC,:.ZBAC=ZBCA,':BC//AF,).NC4F=NBG4,:.NCAF=NBAC,ᓽZCᑖ/EZF`(2)ÚëB•.•8஺ᡠᙠḄᚖᑖ?/C,:.DA=DC,:.ZDAC^ZDCA,NDCAbõ4CEḄö᜜:.ZDCA^ZE+ZEAC,:./E+/EAC=ZFAD+ZCAF,":ZCAF=ZEAC,:.NFAD=NE)(3)]BVZ£4D=90",:.NE+/ADE=90",ᵫ(2)NFAD=NE,:.ZDAF+ZADE^W0,:.NAFD=NAFE=9Q°,B4E=5,4r=3,224,EF=VAE-AF=DF=x,,:DE2-AE2=AD2=AF2+DF2,:.(4+x)2-52=32+/,

20]x=9,4:.DF=^~,4:.DE=~,4."£X=ஹDE2-AE2=ùᡠᙠḄᚖᑖ?NC,`./஺=8=ὡ4ூ¬௃⚪ὃ¯Ḅb?ḄᚖᑖḄឋஹãÎḄ᜜ឋ´µ?Ḅᚖᑖ-Ḅᑮ?ḄûöüḄNOfáb]⚪ḄᐵÁ.22.V10ᑖXV2021•ý□ÿ
“⌕᰿ᡂḄ”.ᓫᑭᵨ“⊈”!"#⊈$%&'()⊈ὅ⊈+ᨵ“/ஹBஹAB.O”123+45678ᑖ⊈:;<=>?᪷A:;ᑴCD᝞FGHIJ᦮>?F⊤M⊤ஹF.⊈+>?⊤N⊈+>?FNM1PQ4567⊈ὅᦪS50,FWX=20[M2⊡ᐰ⊤WḄᦪA[M3_`Q$%Waᓫᨵ1300"#⊈b?ᜧdᨵefg4+⊈i

21ூὃ௃ᵨ᪵Pb?no[>?⊤.ூp⚪௃>?Ḅrᵨ[ᦪAᑖ᪆tu.ூᑖ᪆௃M1
ᵨ+Ḅᦪ◀wxᡠᓰḄ{ᑖ|}ᑮ4567Ḅ⊈ὅḄnᦪᯠ?Ḅ[2
ᐜ?஺+Ḅᦪ?/+ᦪ⊡ᐰ⊤WḄᦪA[3
ᵨnᦪw᪵PW/+⊈ᦪᡠᓰ|.NM1`Q4567Ḅ⊈ὅᦪS510%=50Mᡠw”?="100=20[50ᦑᫀS50,20[2
஺+⊈ḄᦪS46%X50=23MA+⊈ḄᦪS50-10-5-23=12M⊈+ABABOᦪ1210523ᦑᫀS12,23[3
1300XX100%=312M50Nb?ᨵ312gN+⊈.ூ௃P⚪ὃDᵨ᪵Pb?noஹ>?⊤ஹᡧ>?FP⚪Ḅᐵgᔠᵨw.23.12ᑖM2022᧡•£□¥᪥§ᨴὃ᝞Fg஺஺Ḅ©ªC,஺S஺஺G,CEg஺஺Ḅᑗ¬CELBDஹE,®8C¯°஺±F.1
²³N஺gADḄW[2
_´µ¶²tan/84DḄ.BF3ூὃ௃·¸¹ºḄᑨ¼½ឋ¿[©º¹º[ᙊᕜº¼ᳮ[ᑗ¬Ḅឋ¿.ூp⚪௃½ᙊᨵᐵḄÃᐵÄ[FḄ·¸[©º¹ºÅᐸrᵨ[ÇᳮÈ°.ூᑖ᪆௃M1ᵫÊ=¬Ḅឋ¿³ᓽ}[

22(2)®C£ஹAC,OC,OC½ZO¯±G,ᵫ·¸¹ºḄឋ¿}ÌÍ!¶ÎDF3AC=CD=2Hx,GF^y,³Ñ/CGs/\4FC,ᑡxஹ᜛ḄÔÕᵨx⊤Öy,ÎOOSᔆᵫØÙ¼ᳮ}ᔆ½xḄᐵÄÚ<ᵫ¹ºÛᦪ¼"²}:;.(1)³ÑN®OC,#4DP,Sᑗ¬:.OCLCE,I,:CELBD,:.CO//BE,,:ABS©ª:.NADB=90°,:.BELAD,:.COLAD,Ü•••(%gݪAAC=CD...•CgàḄW[(2)N®C஺ஹAC.OC,OC½á஺¯±G,᝞âF,,•*AC=CD-:.AC=CD,OCVAD,AG=DG,■:NBCD=NBAD,NCFD=NAFB,:./XCDFs^ABF,.CDDF••'=1ABBF

23.CDAB275••''è--~-----DFBF3JAC=CD=25x,GF=y,ᑣZ)F=3x,.*.AG=DG=3x+yAF=3x+2yffTABg©ªAZJCF=90°=NAGF,•)NCAG=NE4C,:.ACGs&FC,ACAGgpC2=AG-AF,A=)AAFAC(2V5x)2=(3x+y)(3x+2y)).,.y=x,ᡈD=-ù-x(ú)/G=3x+y=4x,•■•CG=VAC2-AG2=2X>ÎOA=OC^r,ᑣOG=r-2x,VOA2-OG2=AG2t1•r2-(/--2x)2=(4x)2,••r~~Sx/.OG=r-2x=3x,tan/þ஺=/ÿ.AG4x4ூ௃⚪⌕ὃᙊḄᑗឋᙊᕜᳮᚖᳮ!Ḅឋ"ᑨ$%!&'ᳮḄ(ᵨᐵ+ᙠ-./0.24.(12ᑖ)(20217•9:;<)᝞>ᙠ?☢%ᙶ᪗CDEᱥ^=/+K+஺"%#A,BNᐸD/(0,1),B(4,-1).(1)RSEᱥḄTᦪ⊤WXY(2)P,஺[%\]Eᱥ^_`NabcdḄeᙶ᪗["஺Ḅeᙶ᪗[□+1,hPi஺ᑖj.ylḄ?mn%-Ci஺pqPQ,Rst!PQDC☢uḄᨬᜧxY(3)ᙠ(2)Ḅᩩ{\|Eᱥ᜛=x2+bx+c?2ᓫᑮḄEᱥE[dḄ(d[”Ḅl^_`G[?☢%ᙶ᪗Cᑁ8,E,F,G᪀ᡂEk[tḄ!%qᑏᡠᨵᔠᩩ{ḄGḄᙶ᪗_⌱ᐸDḄᙶ᪗ᑏR$h¡.

24ᜓᵨூὃ௃¢£Tᦪ¤ᔠ⚪.ூ¥⚪௃ᦪ!¦ᔠYᑖ§¨©ª«Cᦪ¬YTᦪḄ¤ᔠ(ᵨª!!®]!Y¯°%±Y(ᵨ`².ூᑖ᪆௃´1µᵨ«Cᦪ¬%q¶EᱥḄTᦪ⊤WXY´2µᵨ«Cᦪ¬R%N8[y=--^x+1,ᓽ¶d´¹w2--/H+1µ,Q´w+1,22´+lµ2-i.´+lµ+1µ,C´w,-A1µ,D´m+1,-¿´஻?+lµ+1µ,ÂÃPCwmw+222=-m2+4m,QD=-m2+2m+3,ᓽ¶Rst!PQDC☢u[ᱥ஺,஺-^QD'\XQXP-xp|=-"2+3Æ+3,᪷È¢£TᦪឋᓽÉᫀ.2´3µᵫফÍPÎ--Z-µ,᪷È%48[d-Ax+1"xln[´2,0µ,"yln[´01µ,NnÐÑÒÓÔ⍩¶Í?2Öᓫ×▭¶ÙᡂᔣÛ?4ᓫÜᔣ\?2ᓫᓽ£´ÞÞµEᱥy=/-2r+l222?à-áx+33,EᱥVḄl[ª%x=ãäF´æ,綴Þ-4µ2+´-11+1µ2=´25__Þµ2+´êÞµ2,ᓽ¶$253739-22f2242244ᡈì¢ᵫ?ឋ¶G193W■ᡈGs¢^BF=EFS,444444ðᳮ¶G´ñ-òóµ.44$ª´1µô4´0,1µ,B´4,-1µõᐭEᱥy=f+/>x+cª

25C=1,$•b=T,16+4b+c=-lC=1.♦.EᱥḄTᦪ⊤WX[-1Y2
ä%[y=Ax+஻|40,1
,84,-1
õᐭ:k=4,n=1,$4k+n=-ln=l%[d--j-x+1,•••dḄeᙶ᪗[Æ0Ḅeᙶ᪗[Æ+1,.'.PCm,m2-—m+1
,Qzn+1.´Æ+1
2--´Æ+1
+1
,Cm.-—m+\
Dw+1,222--´Æ+1
+1
,2:.PC=--1/n+l-Cm2-Þ¹+1
=-m2+4m,QD=-¿´¹+1
+1-[m+1µ2-û´¹+1
2222+1]=-/+2¹+3,st!PQDC☢u[/d´750-XP\+^QD*\XQ-XP\1c1cஹ/ஹ=—-¹^+4¹µ•m+1-m+—-¹2+2+3
•´¹+1-m22=-m2+3fn+—2=-´¹-—µ2+ý_,24V-1<0,.•.¹=_|st!PQDC☢uḄᨬᜧx[Y3
ᵫ´2
ÍP3,-¿µ22•.•%Z8[y=-/x+1"xln[´2,0
,"yln[´0,1
,NnÐÑÒTU5,?2ᓫ×▭¶ÙᡂᔣÛ?4ᓫÜᔣ\?2ᓫ:.E´þ-ÿ
22ᱥ-ᵴ+1-x+33,

26.♦•ᱥVḄx=,VBE=EFS,᝞
Q,4•.•"#$8EFG)$
:.BE=EF,:.AL-42+-AL+i2—0-AL2+1_32,2242245t=36-22ᡈt=-36-22,44.F2538-22ᡈ25-39-22"14--4r~:25.!2;
E3,<3ᑮ84,-1,253/"22ᓽᑮ442244G,.193V39-4r44:*5-37^-22;,EA1,

27IJᡠL
Gᙶ᪗OPYᡈ11-P-4ᡈ3-F.444444ூST௃V⚪ὃYZ[\ᦪIᔠ_ᵨ
abcdeᦪf
"#$☢hஹ)$Ḅឋkb_ᵨlmn
4⚪ḄᐵpqᵨrstḄuᦪv⊤xyᐵSᙶ᪗zyᐵ{Ḅ|}.25.14ᑖ2022᧡•□᪥ᨴὃூ᪀௃᝞1,ᙠ"#$488
ZABC+ZADC=\S0°,AB=AD,ZACD=45°,AC=3W."#$/BCDḄ☢h.PḄfq|CQFES
OE=8C,ZE.᧕N8C/£>£.¡6¢"#$ABCDḄ☢h£ᓄ᝞£Ḅ☢h
ᑣ"#$ABCDḄ☢h9.ூ_ᵨ௃᝞2,OOZBCḄ᜜¨ᙊ
qª
/C=8C,S஺qª¬ḄᙊJ=4,"#$8cḄ☢h°ூᮣ²³ᵨ௃᝞3,ᙠ"#$/஺8c
/8ஹCD,NC4B=N4CB=NBDC=60°,"#$ADBCḄ☢h4«
ᑣ{CD=4.ூὃS௃ᙊḄIᔠ⚪.ூµ⚪௃uᦪ¶·Iᔠ⚪°¸ᳮº».ூᑖ᪆௃ூ᪀௃|FES
஺E=8C,/E.᧕48C½ZvlOE.¡6¢"#$Ḅ☢h£ᓄḄ☢h°ூ_ᵨ௃Pூ᪀௃ḄÀf
ᓽÁ4°ூᮣ²³ᵨ௃Pூ᪀௃ḄÀf
ᓽÁ4Â.4ூ᪀௃᝞⚪Ã1,|8FES
XDE=BC,/E,

28NZ0E+NN0C=18O°,VZABC+^ADE=ISO°,•NABC=NADE,\UAB=AD,:./XABCQAADE(S4S),:SAABC=S&ADE,AC=AE,:.ZE=ZACD=45°,:.ZCAE=90°,•••C/EqlῪÅÆÅ$
ZS"#$»(3Ç)2=9,ᦑ9°ூ_ᵨ௃᝞2,|'FS
4F=BD,CÊPூ᪀௃5
4ACF4BCD(SAS),:.CD=CF,NACF=/BCD,TABqOOḄª
N/CB=90°,ËZDCF=ZACD+ZACF=ZACD+ZBCD=ZACB=90°,OWqlῪÅÆÅ$
11:.S09-ADBC=SADCF=®CD——X4*-8°ூᮣ²³ᵨ௃᝞3,|஺4F஻S
4H=BD,C//,ீNC4B=N4CB=60°,ql#ÆÅ$
BC=AC,ZACB=60°,9:ZCAB=ZBDC=60°,,•S4,D,B,஺"Sᐳᙊ
NO5C+NCZO=180°,Pூ᪀௃5
XACH%"BCD(S/S),CD=CH,/BCD=/ACH,:.ZDCH=ZACD+ZACH=ZACD+ZBCD=ZACB=60°,

29ql#ÆÅ$
•••"#$ADBCḄ☢h4Î
:.CD=4,ᦑ4.2ூST௃Ï⚪qᙊḄIᔠ⚪
Ð⌕ὃYÒᐰlÆÅ$Ḅᑨdzឋk
"SᐳᙊḄᑨd
l#ÆÅ$Ḅ☢hÕv
lῪÅÆÅ$Ḅᑨd
Ö×ØÙ᪀⌼×ᐰlÆÅ$q4V⚪Ḅᐵp.

30ὃSᓱᱏ1.ᙶ᪗Ý$ឋkIஹSᑮᙶ᪗ḄßàÝáâSḄᙶ᪗qᨵäḄ
⊤åᙠæâÀ☢জᑮXḄßàÝéᙶ᪗ᨵᐵ
ᑮyḄßàÝëᙶ᪗ᨵᐵ°ঝßàíqîïᦪ
6ᙶ᪗Áðqïᦪ
ᙠᵫßàᙶ᪗;
◤⌕óJា:Ḅõö.2ஹᨵ$<÷SḄᙶ᪗☢h;
øùmSᔣᙶ᪗Öᚖ
ᯠ×yᐵḄ{|
q4ýáþÿ⚪Ḅ.3ஹᙶ᪗ᑁḄᑣᵨᙶ᪗Ḅ!ᵨ“ᒘஹ⊡”&'()⚪.2.*+,ᦪḄឋ/*+,ᦪḄឋ/0k>0,y3xḄ5ᜧ75ᜧ,ᦪ89ᑮ;<ᓣ>9<0,y3xḄ5ᜧ7BC,ᦪ89ᑮ;DE.ᵫGyHI0,b
,Jb>0MI0,b
ᙠyḄOP<Q!GyHOP>Jb<0MI0,b
ᙠyḄRPQ!GSHRP.3.*+,ᦪTUGyḄHVᙶ᪗I0,b
.Q!0Mᱥ!=஺/++஺Iq#0^Ḅᔣ<x<--My3xḄ5ᜧ7BC>2a2X>*M᜛3XḄ5ᜧ75ᜧ>x=-MMyᨬC4ac-b,ᓽ⚔Vᱥ!2a2a4aḄᨬV.ঝJa<0Mᱥ!y=ax2+6x+cIaWO^ḄᔣDx<--My3xḄ5ᜧ75ᜧ;2a2X>M᜛3XḄ5ᜧ7BC>x=-MMyᨬᜧ4ac-b,ᓽ⚔Vᱥ!2a2a4aḄᨬV.

31ঞᱥ!᜛j^^+ᔊ஺"#஺^ḄTUᵫᱥ!=2ḄTUᔣ;ᡈᔣ9|-M|ᓫ2a¡¢ᔣ<ᡈᔣDI/ᡝᓫ¡ᑮḄ.5.j+,ᦪTU0Mᱥ!ᙠvw9³y3xḄ5ᜧ7B´>ᙠvw;³y3xḄ52ᜧ75ᜧµ]TUᨵᨬVᡠ,ᦪᨵᨬCJ¶=ᙠvw;³y3xḄ5ᜧ7B´µ]TUᨵᨬVᡠ,ᦪᨵᨬᜧJ¶=JÀÁÂÈÄM.⌕ᑖ°ÊË⚔V,ᦪÌVᜐḄ,ᦪÎÏÐÑ,ᦪ87Òᨬ.7.ᱥ!GxḄHVÊj+,ᦪyjÔ+Õᵨ"C1a,b,஺ᦪ"W0^GxḄHVᙶ᪗×y=0,BPax^+hx+c=0,'ᐵxḄ*ᐗj+ÛᓽÊHVÜᙶ᪗.I1^j+,ᦪ·=஺+Ô+஺Ia,b,cᦪaWO^ḄHVG*ᐗj+Ûax2+6/c=0᪷ÞßḄᐵ.à=á-4ac(¼ᱥ!GxḄHVᦪ.à=â-4࠷>0Mᱥ!Gxᨵ2HV>à=ä-4%=0Mᱥ!Gxᨵ1HV>à=â-4࠷<0Mᱥ!GxæᨵHV.I2^j+,ᦪḄHVi0y=aIx-xi^Ix-x2^Ia,b,cᦪaWO^,Qèᑮᱥ!GxḄHVᙶ᪗Ixi0^,I᝞0^.

328.j+,ᦪḄéᵨI1^ᑭᵨj+,ᦪ'(ᑭë)⚪ᙠᖪíî⃩ðñ¬îò⍗ᑮÊᨬᜧᑭëᨬᜧ├Âõ)⚪.'ö÷⚪Ḅᐵøù⚪d,»¼Ëj+,ᦪḄ'᪆iᯠ仼ᐸᨬᜧÇ▭)⚪¬ÀÁÂxḄ⌕üÇ▭)⚪ᨵdýµöᙠÊj+,ᦪḄᨬM*¼⌕þdÀÁÂxḄÄ.I2^ÿ
Ḅᨬ⚪
Ḅᦪ⚪Ḅᨵ
☢ḄᨬᵨᧇḄᨬ᝱ḄᨬḄ.3!᪀#ᦪ$%&'(▭⚪ᑭᵨᦪ&'+ᱥ-Ḅ.⍝ஹᜧ᫑3456(▭⚪7⌕ា:ᙢ<=>(▭⚪Ḅᦪ?@(ᑮB☢CDᙶ᪗GḄ+ᱥ-HIJKL+ᱥ-Ḅ&᪆NOP&᪆NQ&'R>ST⚪ᡈᐸW⚪.9.ᦪXᔠ⚪1!ᦪ
[\ᐸWᦪ
[]^ᔠ⚪&'_`⚪7ᐜ᪷?cLḄᦪᡈᦪ
[ᑨefGᦪḄghᯠjᑨekḄᦪᐵGNGᦪḄghm᪷?Gᦪ\
[ḄnoᐵGᑨef
[ᱯqᑣgᔠᡠᨵᱯqḄ
[ᓽuvK⌱⚗.2!ᦪ\z{ஹ|}ḄXᔠ~ᵨᦪ|}\z{ஹ|}ᨵᙢ^ᔠᙠR.=`⚪Rᜧ.&=`⚪ᐵᗐᦪ⚪ᓄuz{⚪ᗐᑭᵨ
ḄᨵᐵឋஹLᳮ3ᦪḄ|},᢬᣾⚪ḄR>◚ᩩ.3!ᦪᙠ(▭Ḅ~ᵨ⚪I(▭⚪ᑖ᪆T¡ḄᐵG#¢ᦪ$%.ᐵᙠ£¤ஹᑖ᪆ஹ¥##¢CDᙶ᪗G¦Ḅᦪ
[ᯠjᦪ^ᔠ&'⚪◤⌕ᡃ©ḄªTᦪḄ«⌕®(▭⚪ᨵ¯.10.B°-Ḅឋ1ஹB°-ឋLᳮLᳮ1±ᩩB°-²³´ᩩC-ᡠµ¶nD]6.·ᓫ¹ᡂ±C-B°¶nD]6.Lᳮ2±ᩩB°-²ᙢ´ᩩC-ᡠµ¶»ᑁD½⊡..·ᓫ¹ᡂ±C-B°¶»ᑁD½⊡.Lᳮ3±ᩩB°-²³´ᩩC-ᡠµᑁ┯D]6.·ᓫ¹ᡂ±C-B°ᑁ┯D]6.2ஹ±ᩩB°-¡ḄÀÁᜐᜐ]6.

3311.´DḄ☢1!´DḄ☢6ÄÅÆ\Ç-ÈḄRÉᓽ=HXÄXÇ.22!´DḄ-´Dᑖᡂ☢]6Ḅ±Ìᑖ.12.´DḄÍÎ1!´DḄÍδD´Å-ḄÏÐ.2!ÍÎḄឋজÍÎᑮ⚔ÐḄÀÁ\ÍÎᑮÓÅÐḄÀÁÔu21.ঝÍÎ3´D3Ö⚔Ð×ᡂḄ3Ö´D☢]6.ঞÍÎᑮ´D3Ö⚔ÐÀÁḄ3ᨬÙ.6Å´D!13.ᐰ6´DḄᑨL\ឋ1!ᐰ6´DḄᑨL^ᔠᐰ6´DḄឋÛÜ-Ý3D]6ḄÍ⌕Þᐹ.ᙠᑨL´Dᐰ67ᐵ⌱àា:ḄᑨLᩩ.2!ᙠ~ᵨᐰ6´DḄᑨL7⌕´D¡ḄáᐳÅ3áᐳDã⌕7äå〉:çè-᪀⌼´D.14.-ÝᚖCBᑖ-Ḅឋ1!L¯ëPìRᩩ-ÝḄÐíᚖC=ᩩ-ÝḄC-îï=ᩩ-ÝḄᚖCBᑖ-ᚖ-!ᚖCBᑖ-·ð“ᚖ-”.2!ឋজᚖCBᑖ-ᚖCíBᑖᐸᡠᙠ-Ý.—ঝᚖCBᑖ-HôRÐᑮ-ݱõÐḄÀÁ]6.Rঞ´D´ᩩÅḄᚖCBᑖ-]ÏRÐöÐî᜜Îí=RÐᑮ´Ö⚔ÐḄÀÁ]6.15.6Ὺ´DḄᑨL\ឋIஹ6Ὺ´Dúûüýþ]6Ḅ-Ý3]6ḄDᑨL´D6Ὺ´DÛÜ-Ý]6ஹD]6ḄÍ⌕ÿ.2ஹᙠῪᨵᐵ⚪⍗ᑮḄ⚪ᐸ⚔ᑖஹ!Ḅ"ஹ!Ḅ#$%Ḅ&ᯠ“ᔠ”+,ᨵ,-.ᩩ012,ᨵ,45Ḅ6789:;⚪Ḅ<ᩖ>?45◤⌕ᐹC⚪ᐹCᑖ᪆.3ஹῪឋG⚪012ᑭᵨᐰᩭ:;+⌕LMNO4PᩩQᭆSTᐰḄUVWXY12Z[ᑭᵨῪḄ⚪\]^ᐜ⌱abcd7ᩭ:;.16.efWᳮh1jefWᳮkᙠlmnZoᩩZpḄdqrWstpḄd.᝞vZḄoᩩZpᑖw#a,b,tpzc,|}஺2+*=/.h2jefWᳮ\ᵨḄᩩQ#ᙠZ.

34h3jefWᳮ/+[=/Ḅᨵka=^2_2,b=qc?_a2\c=«a2+^2.cbh4jᵫs஺2+62=°2>“2,ᡠ2c>஻5ᳮc>/>,ᓽZḄtᜧsZḄᩩZ.17.ḄឋGh1jḄᭆkᨵoᑖwḄ6.h2jḄឋGkজkḄ.ঝkḄ.ঞkḄᑖ.h3j¡Ḅ¢£ᜐᜐ.h4jḄ☢¦kজḄ☢¦s§Ḅr¨n!Ḅ"Ḅ¦.ঝ5hj5"h"jḄ☢¦.18.OdḄឋGh1jOdḄW©kᨵª«¬ᨵn#ZḄ6Od.h2jOdḄឋGজOdḄᩩ0n0#ZঝOdḄoᩩᚖZᑖ«¬ᩩᑖঞOdᐹᨵஹஹ¯ஹ°ḄᑗឋG.টoᩩ³OdᑖᡂnᐰḄῪZ5,Odµ#¶·¸ᨵᩩ·¶.19.*☢ᔣº☢ᔣº.20.ᙊᕜWᳮh1jᙊᕜḄW©k⚔½ᙠᙊ!«¬o0¾ᙊ¿Ḅ6ᙊᕜ.LMkᙊᕜÀÁÂÃonᩩQkজ⚔½ᙠᙊ!.ঝḄoᩩ0¾ᙊ¿ÄὅÆ41.h2jᙊᕜWᳮkᙠ5ᙊᡈᙊ5ÈᡈÈᡠḄᙊᕜ0s¨ᩩÈᡠḄᙊÉḄÊ.ËÌkÊᙊhᡈZÍjᡠḄᙊᕜ#Z90°ḄᙊᕜᡠḄÐ#ZÍ.h3jᙠ:ᙊḄᨵᐵ⚪,$$◤⌕᪀ᡂZÍᡠḄᙊᕜ¨ÒÓÔᢈÖᢈ×W⌕ØÙ.h4jLMkজᙊᕜrᙊÉḄÚᓄ1ÜÝ-ᙊḄÊÍ᪀⌼Ὺ.ᑭᵨῪḄ⚔½rḄᐵßàÚᓄ.ঝᙊᕜrᙊᕜḄÚᓄ1ᑭᵨᐸ“᫑᫡”——ᙊÉ

35Úᓄ.ঞWᳮᡂäḄᩩQ#“5ᩩÈᡠḄ”oÒᙠåᵨWᳮ,4⌕æᶍè¨nᩩQé45ÈᡠḄᙊᕜ¾ᙊÉ┯]ᡂ5ᩩÈᡠḄᙊᕜrᙊÉ.21.½¾ᙊḄëìᐵßh1j½¾ᙊḄëìᐵßᨵ3Ò.í஺஺ḄÊÍzr,½PᑮᙊÉḄ¢£ᑣᨵkজ½ñᙠᙊ᜜ঝ½ñᙠᙊ!=d=rজ½Pᙠᙊᑁh2j½Ḅëì12õW½ᑮᙊÉ¢£¾ÊÍḄᐵßöÝᩭ÷ø½ᑮᙊÉ¢£¾ÊÍḄᐵß12õW½¾ᙊḄëìᐵß.h3jùúû-“üs”§⊤þÿ
Ḅᑮᑮ.22.ᑗḄឋ1ᑗḄឋজᙊḄᑗᚖᑗḄ.ঝᙊ!ᚖᑗḄ"ᑗ.ঞᑗ!ᚖᑗḄ"ᙊ.2ᑗḄឋ%&᝞()᝞*+ᩩᔠ(ᑡ/0ᩩ12Ḅ3450,789+:;<=/0ᩩ1,>/0ᩩ1?:জᙊAঝᑗAঞBᙊḄᑗᚖ.3ᑗឋḄDᵨᵫ:ᳮHIJKᙊḄᑗ"LᑗḄ᪀⌼:ᳮOJᚖᐵQ.RST)UᑗLUᚖ.23.VWXYZᙊ1VWXYBᙊḄᐵQ[+0ᙊᑖᡂ?ᜧ2Ḅ_ᯠᦪbcdeLfᔜᑖᡠḄWXY?>0ᙊḄᑁfVWXY>0ᙊjk>0VWXYḄ᜜fᙊ.2VWXYḄᨵᐵᭆoজ2)VWXYḄ᜜fᙊḄᙊjkVWXYḄ2.ঝVWXYḄ)᜜fᙊḄjkVWXYḄ.ঞ2p)VWXYq+XᡠrḄᙊpjkVWXYḄ2p.টXt)2ᑮVWXYḄ+XḄtujkVWXYḄXt.24.ᙊḄvᔠ⚪ᙊḄvᔠ⚪.25.xyḄឋ

361xyḄឋ)জr{ᑮxy2Ḅtu|b.—ঝr{Bxy2ᡠL~Ḅᜳpbxyp.—ঞxyஹḄOYᐰb.—2xy/⌕)জxy2A2xyᔣAঞxyp.+4)/⌕2⌕34ᦋ+0OY+᪵.26.~1rᩩ~஺ஹbஹcஹd,᝞*ᐸ25ᩩ~Ḅᓽ9ḄB5ᩩ~Ḅ|b᝞ᡂ=4ᓽ஻=6c,ᡃ>ᩩ~?ᡂ~R¡~.2ᑨ:ᩩ~?ᔲᡂ⌕[ᩩ~ᢥᜧ¥¦§᣸ᑡ©ᑨª5ᩩ~«B5ᩩ~«?ᔲ|bᓽ¬~«⌕ᐜ¯+~Ḅᓫ±ᨬḄ&*Bᡠ⌱´Ḅᓫ±µᐵQ.27.¶·ᑖᒘ1¶·ᑖᒘḄ:¹)AC*8᝞Oᡠ½[~Z8ᑖᡂ5ᩩ~/CZ8cZC>8C,!ÁNC?N8Z8cḄ2⚗ᓽAC=ACBC,jk[~¶·ᑖᒘCjk~Ä8Ḅ¶·ᑖᒘ.ᐸ2/஺=⍩-1/8=0.618/8,Ç!~Ḅ¶·ᑖᒘᨵ50.22¶·/pY)¶·/pY?+0bῪ/pYᐸῪBÉḄʶ·Ë.¶·/pYᑖ5Ì)জbῪ/pY50ÉpÊ72°,⚔pÊ36°.>᪵Ḅ/pYḄÉB--Ὺ««Ê¶·)BÑ)ঝbῪ/pY50ÉpÊ36°,⚔pÊ108°A>Ì/pY+ῪBÉX««Ê¶·)ÒÓL.23¶·ÕY)¶·ÕYḄÖB«×ᑗËÊ228.|Ø/pYḄᑨ:Bឋ1|Ø/pY|ØWXYḄᱯÚÛY9ÜÝ|ØWXYḄ:¹r{XḄ|bZr{p|b5☢(:¹Aßᩭ50/pY|Øᨵr{p|br{XḄ|b.2/pY|ØḄᑨ:+?2ὃὃâḄ«+ᙠᑨ:50/pY|Ø{4ᑭᵨOY2åᨵḄæᐳpஹæᐳXb◚éᩩ1ᐙᑖëᢵíîOYḄTᵨïð|Ø/pYḄ+ñò?óTôõ᪀⌼|Ø/pYAᡈd÷íîOYrOYøõᑖùஹúᔠAᡈTûü᪀⌼|Ø/pYᑨ:/pY|ØḄòᨵýᓫþÁᵨᨵ◤⌕
ᔠᵨᓫᵨ
ᔠᵨ⌕ᐹᜓᨵḄᩩ.29.ᱯḄᦪ1!ᱯᢣ30°ஹ45°ஹ60°Ḅᔜ+ᦪ.

37=52tan30°=8sin30°=—2cos30°223=9:;cos45°sin45°tan45°=1222sin60°cos60°=—2tan60°222!ᵨ=⌕>?ᱯḄᦪ@ᢥḄBᓄDEF?GH⌲JKᜧMH⌲JNOGᑗ⌲JKᜧ2QᢥᱯRS=ᔜTᱯDEF?.3!ᱯḄᦪᵨUV@WXYZᦪ[\]QᐹᨵᦪḄᱯ^ᙠ`RS=ᵨab.30.`RS1!`RSḄcdᙠRS=ᵫfgᐗijkgᐗiḄlmn`RS.2!`RS⌕ᵨᑮḄᐵqজ┦ஹRtuḄᐵq;ZA+ZB=90°2ঝTtuḄᐵq;w+62=02;ঞTtuḄᐵq:NAḄ&'_acc“_NAḄ)'_bᓃ_Ḅ&'asiM+'C+'cNAḄ)'ba,b,cᑖ~//ஹZB.NCḄT!31.`RSḄᵨ-ᚁᚁ⚪1!ᚁᚁ☢ḄR஻/ḄᚁW@᧜ᚁḄ▽m@ᵨ•⊤ᑏᡂi=l;£ḄS¤.2!¥ᚁ☢¦☢Ḅᜳaᚁᚁi¦ᚁatuḄᐵq¨;i=h/l=tana.3!ᙠ`©ᚁḄᨵᐵ⚪=@ªlZ᪀ᡂRSᚁᓽ@┦ᚁ▭n@┦ḄGᑗᡈRRT°±`RS⚪.ᵨ⚞³;জ´µ⚞³;ঝ¶·⚞³ঞ¶¸⚞³;ট:m⚞³º.32.ᵨ᪵¼½¾¿Àᵨ᪵¼½¾¿ÀÁ¾Ḅ¼ÃÄ.1ஹᵨ᪵¼Ḅ⚣᳛ᑖǽ¾¿ÀᑖÇ;È@¿ÀÉᑮ@ᒹËᜧµᦪÌḄ᪵¼ᡃÎÏÐÈ@ᦪÑ=RÒÓÔ᪵¼ᡠᒹËḄÖ×.ØÙᡃÎᵨ⚣᳛ᑖÇRÚᩭ⊤Ü᪵¼Ḅ⚣᳛ᑖÇÈÝF½¾¿ÀḄᑖÇÞß.2ஹᵨ᪵¼ḄᦪÑᱯཾ¿ÀḄᦪÑᱯàá⌕ᦪÌᨵâᦪஹ=ãᦪஹᙳᦪஹ᪗æç¦ç!.

38@ᩭèᵨ᪵¼F½¾¿ÀÙ᪵¼éᐹᨵê⊤ឋஹìµéᜧØÙ¿ÀḄ½¾±néíî.33.Á¾⊤Á¾⊤XïᜧµᦪÌḄᑖðñòóᨎ@õᯠᙢ⊤øÔᩭ.Á¾ùúᡠÉḄûüýᧇ•ÿ᦮ᳮᑮᐸḄᦪᦪᢥḄ᣸ᑡᙠ⊤!"#ᡂ“&'⊤&'⊤(⊤ᦪ)*ᧇ᦮ᳮ,-Ḅᨬ/ᵨḄ1⊤.&'⊤(ᵫ45678ᩩᡠ;ᑴḄ⊤ᩭ⊤&'*ᧇḄ1#>.34.?@Aᙳᦪ1Aᙳᦪ(ᢣᙠDᦪ!ᡠᨵᦪFGH◀JᦪḄKᦪ.L(M᧜ᦪO!PQḄ⚗ᢣ᪗.2
?@AᙳᦪTUV஻KᦪXIX2,…x,ᑣ7=YX1+X2+…+X"
"Z[஻KᦪḄn?@Aᙳᦪ.3
?@Aᙳᦪ(\ᩗAᙳᦪḄ1ᱯ_`a\ᩗAᙳᦪᒹc?@Aᙳᦪd\ᩗAᙳᦪ!Ḅᩗefg"(?@Aᙳᦪ.35.!hᦪ1
!hᦪTiDᦪᢥ᯿klᑮᜧnᡈkᜧᑮlpḄ᣸ᑡ᝞-ᦪḄKᦪ(᜻ᦪᑣᜐV!thuḄᦪ"(DᦪḄ!hᦪ.᝞-DᦪḄKᦪ(Ꮤᦪᑣ!twKᦪḄAᙳᦪ"(DᦪḄ!hᦪ.2
!hᦪx⊤yDᦪzᜧlḄ“!{”}᧕᩽z}ᐙᑖᑭᵨᡠᨵᦪḄ.3
!hᦪᦪḄ᣸ᑡhuᨵᐵᦪḄU!hᦪᨵ!hᦪᙠᡠᦪ!}ᙠᡠḄᦪ!dDᦪ!ḄKᦪᜧgᵨ!hᦪᐸPQ.

392022-2023
ὃᦪ⚗ᓣ⚪"ஹ⌱⌱1.ᦪAC,dᙠᦪU¡Ḅ{Ḅhu᝞¢ᡠ£¤Kᦪ!Ḅ(npA.aB.bC.cD.d2.ᵨ¥ᐝ§¨©§ªw«¬FtḄ¨®k«¬Ḅ¥ᐝ4x105¯ᑮ°±«¬²³ᐝ´µ3x108¶/¯ᑣw«¬FtḄ¨®ᵨ¸¹ºᦪ»⊤£µnpA.1.2xl03^B.12xlP¶C.1.2x104¶D.1.2x105¶3.¼ᑡ¢#!N2>N1Ḅ(np5.½¹¾ᜧᐶÀÁy“ាùÄÅÆÇÈÉÊ”!ËÌ&ÇÈᜧÍlÎ&'yÏÐ30Ñù¤ᨴÓḄÇÈÔÕᦪªᐹ×ᦪ᝞⊤ᡠ£:ÇÈᦪªn✌4567891011pÚᦪ34457511ÛÜ30Ñù¤ᨴÓÇÈÔÕᦪªḄÝᦪG!hᦪᑖ(npA.11,7B.7,5C.8,8D.8,76.ᙠᵫeÃḄlÞß#DᡂḄ3X4Ḅà!ᨵ3KlÞß#áâãäåæHãäKlÞß#çãäḄ¤KlÞß#᪀ᡂḄ¢#µUé¢#ᑣê◤⌕ãäḄlÞß#í(np

40জঝঞটঠডঢণতA.জᡈঝB.ঞᡈডC.টᡈঠD.ঞᡈত7.lúᢥ᝞¢ᡠ£ḄûᐭKÞᦪx,ûḄ,-µ853,ᑣᩩḄxḄᨵᨵA4B.5C.6D.68.ᵬஹ!"#ᙠ%&'()*+,-./0Ḅ⚣᳛34/Ḅ()5᝞5ᡠ83ᑣ9ᔠ;,-.Ḅ%&<=>A.?,@AB☢DḄEF3/05GḄᭆ᳛B.?,@IJ3/0A☢KḄᭆ᳛C.LMᑏ/,᦮ᦪ3=Q2᦮◀Ḅᭆ᳛D.,TF'UḼWᨵX⁐ᨵ3ᐸ[\]Ḅ!^ᳫ`,aᳫ3b'LMc/,>aᳫḄᭆ᳛9.᝞53efbAᜐ/hiᓅkl30°oᔣqrBᜐ3siᓭkl50°oᔣqrCᜐ3uvwix/hv,yḄoᔣqrDᜐ3ᑣ/BCDḄ{ᦪ|

41A.100°B.80°C.50°D.20°10.᝞53ᙠ}☢~ᙶ᪗xOy'3GAb3,4
/h3GOv┐,ᕜ3ᑣGAA.GMB.GNC.GPD.GQ11.ᐢ⚪>ᡃ⚪,3ᜧᙠ15003F'*;ᨵḄ⚪.'>;᪵¢£Ḅ¤“¦ᨵ§ᐢ3ᨵ¨ᓝªᜮ3¬ᨵᓝ®3§ᐢᔜ°±²”;®´µḄM¶>¤ᨵ·¸Wஹᐢᙠ,F¹3b☢ᦪ3ᨵ35ᜮ;b¬☢ᦪ3ᨵ94W».¼'ᔜᨵ°W`ᐢ²)<½A.20W3ᐢ15WB.12W3ᐢ23WC.15W3ᐢ20WD.23W3ᐢ12W12.ᡃᦪ#¾ᑭᵨ“Áᔠo”᝞5ᵬÃᑮ*ᳫDDÅḄ)oÆ.Ç>ᵫ!ᙊÊᑖÌbÍÎ!oᔣÏᐭ,AoDv!ᙊÊÑᐳÓᑖÔᡂḄ°±D.5ᡠ8Ḅ°±D><Ôᡂ“Áᔠo”Ḅ,Ö×Ø3ᐸ~Ù5᝞5Ú35'®ÛÔ>|D0ᐸ~ÙឋᡠÝḄÞßà.áᐸAâ5`ãâ5äᐰ]v3ÇḄAâ5`æâ5ᑖÌ<=>=-

42A.a,bB.a,dC.c,hD.c,d13.èé3êÔ'3AD=\,bN4BCcNaQ04êÔḄᕜïCxNaḄᜧeôᐵ8êÔḄ☢ÅS>aḄöᦪC.áNa=45஺v3êÔḄ☢Å>gD.êÔḄ☢ÅSúaḄûᜧüûᜧ14.᝞53GýᙠÙþGᓅkÿ30஺ᔣḄ8ᓟḄ/8,30°.ᵨ᪵Ḅ"8,CḄᑖ%88,60°,C4,60஺ᑣḄ)ᙠf4I.O3OitBcao,A.01B.஺2C.஺3D.஺415.᝞1234567ᨵḄ9ᱏᵨ;ᑐ=>ᩩ@ABCᑖ%;DEᐕG;716.HIJKᙠL₏NOPQ.RSTAUV=AW48XYᑮ8,RᐲTCUV\]Ḅ^_=஺஺⌮a┐XY>ᕜdᑮCHeḄXYfA᝞11ᡠhᐸjAC=DB.HeaDkXY@ᑮlmnXYaPQopᐸqrC஺ḄsaqxᓫvwḄx)ᐵz᝞12ᡠh.ᑣ|ᑡ~Ḅ2

43B.Heᑖ%ᙠ1.09w7.49wḄa]⍗C.RSXYᑮ஺Ḅa᎛Rᐲs஺D.ᙠ4.84waHeḄOOḄஹ⚪17.6+6-Ḅo.18.᝞1,35ABCD5D,Cᙠ\BᙊḄ¡EFOᑣZAḄ_ᦪ-19.᝞|1¦ឋRᳫT©0,3UV=ᡠhᔣXYªRᳫ«ᑮ¬5O/8CḄa¦¦a®¯ᐭ®¯Rᳫ±1²«ᑮ¬5ḄaP±2²«ᑮ¬5Ḅa©2,.....±"²«ᑮ¬5Ḅa2,ᑣP3Ḅᙶ᪗2:©2017Ḅᙶ᪗2•¹ஹº»⚪20.ᵨ“ਮ”¿À>ÁÂX:xÃÄᨵᳮᦪab,È¿a^b=ab2+2ab+a.᝞v33=1x32+2x1x3+1=16.

44(1)Í(>2)Î3ḄÏÐ(2)Ñਮ3=8,ÍaḄÏ.21.ᙠ᧡ÓXYÔOÕÖ᪥ᦟÙÚÖÛÚÜÝ¿ᢗßàáªÚᙳãäå⌱çèéªå⌱çᢗßᓝ²ᢗj1ᑖ7ᨵjëᑖ3ᑖ\O(ì3ᑖ)íᔠïàáᡂñòᑴᡂᩩ5ô1᝞|vÚ%ÿᙳᦪᦪᔠ᳛ᦟ—3—80%3.6—3.4460%(2)᝞RõöᦟÙÚḄᡂñ÷ÖÛÚøörḄᳮᵫ2úûüRýöÖÛÚᡂñ÷ᦟÙÚrḄᳮᵫþ2úûü(3)ᦟᢗ!"#$ᦟᡂ&'ᙳᦪᜧ)ᡂ&Ḅᦪ+,ᦟ-.ᑖ#0#”Ḅ2.22.56789ᨴḄ;ᔊ=ᨵ?Ḅ@⚪#BᵨDᙠF☢H᝞JᡠLḄᓝN᪾#+PQ=ᓝN᪾RḄS=ᦪTaஹbஹcஹdஹk.+[Ḅ=ᦪTk,᝞J]^_`aᑡ@⚪](1)d;ᔊeHf=ᓝN᪾g(2)a+b+c+d=84,0kḄ2j(3)kᔲmᙠkḄ2#noa+b+c+d=108,pqrᳮᵫ.——./011234567891011121314151617181920212223242526272829303123.uv]wxhzwx12'{#|}~[ḄT3,A,BkwxhFḄ=#C,DkwxLFḄ=(CᙠDḄ)#AB=CD=6,ACஹBDஹBC,AABC

45BCᢚoᑮ^AiBC.(᝞J1)(1)AizDᔠ(᝞J2),ABDCk#Tg(2)AizDᨵᔠ#AQ,ᑣAiD஻BC(ᨵ◤£r)#d¤Ai,B,C,DT⚔ḄT¦#|¦Ḅ§ᑖ¨Ta,b,0(a+b)2Ḅ2.(1)©ª«¬ᦪJḄ®¯°kwxx=j(2)©ª«¬ᦪḄJ²³ᔣa#1WXW4#VḄ2k2,0¸ᱥxḄº᪆¼j(3)®)©¸ᱥxFḄ½(#¾),஺(ᔛ,¾)#/ᔲீ7+1/225#ᙳÅÆÇ2᜜#pJ#wᑏffḄË2Í.25.ÎÏÐ(1)᝞J1,uvÑABC,pHfaABCḄxAD,ÒᑨÔaABDzAACDḄ☢Õᜧ5ᐵ×.(2)᝞J2,ᙠ'☢wØᙶ᪗×#ZXABCḄBCᙠx°F#uvA(2,4),B(-1,0),C(3,0),^ÝÞAḄᩩwx1,'ᑖAABCḄ☢Õ#pᑏfwx1Ḅ⊤á¼.âᔠãᵨ(3)᝞J3,ᙠ'☢wØᙶ᪗×#᝞äA(1,4),B(3,2),åᙠwxᔆ-4x+20FkᔲmᙠC,nwx0Cាè'ᑖ0ACBḄ☢Õgmᙠ#péêCḄᙶ᪗jᨵmᙠ#pqrᳮᵫ.

46>=-4x+2026.᝞J1,§T10ḄxëONî஺ïð90°oᑮ”ḄãóôT᪗#PUõö஺8F#0k᪗FḄ#½(1)/½஺0=÷#PQᨵ2#2T.(2)᝞J2,PU0BdஹFeQPf0BP,0Ḅ§j(3)᝞J3,ᡧ408ᢚú4½ᢚ#nBḄ®û᜛ាèýᙠ஺4Ḅþ§xF#0▢
ᑖ☢.(4)᝞4,ᡧ஺18஺ᢚᢚḄា0/"ᑗᑗ$%C,'OP=6,-$Oᑮᢚ/P0Ḅ01•2022-2023
ὃᦪ⚗ᓣ⚪

47"—•ஹ⌱6⌱1.7ᦪAc,”ᙠᦪ:;<=Ḅ$Ḅ>?᝞ᡠABCDᦪEḄFGH,b,,c,d,_—3—2-10123A.aB.bC.CD.dூJKLᫀ௃DூOP௃᪷R᪷Rᦪ:;ḄᦪSTUVWTḄᜧdᙠᨬSTᦑ⌱D.2.ᵨ\ᐝ^0_^`abcdefḄ01g6bcdhiḄ\ᐝ4x10-jᑮkl6bcdmnᐝo%3x108p/jᑣabcdefḄ01ᵨrstᦪu⊤A%GHA.1.2x103pB.12xlCPpC.1.2x104pD.1.2x105pூJKLᫀ௃cூOP௃ᵫrstᦪuḄ⊤Ax%ax10”ḄxᐸElW|a|<10,n%᦮ᦪ.K{nḄ|}⌕ᦪᡂa}ᦪ$>nḄ|ᦪ$Ḅ>ᦪ".ᦪ|>1}nFJᦪᦪḄ|<1}nFᦪ.4x10-5x3x108=12x104.ᦑ⌱C.3.ᑡEN2>N1ḄFGHூJKLᫀ௃CூOP௃PA.Z1=Z2G<⚔"Hᦑ⌱⚗┯B.Z1=Z2GCT<"Hᦑ⌱⚗┯C.Z2>Z1GḄ6D᜜ᜧ¡ᨵ"£Ḅ¤¥6DᑁHᦑ⌱⚗JK;

48D.᝞.":a//b,:.Z\=Z3.VZ2=Z3,:.Z\=Z2.ᦑ⌱C.4.᝞a-b=±²³ᦪxGa-´H6JḄ|FGH1aa+bA.-2B.2C.-yD.2ூJKLᫀ௃DூOP௃ᑖ᪆·¸ᑭᵨᑖxḄºᔠ¼½uᑣx¾¿ÀiLᫀ.ÂOPGa-ÁH---a--aa+ba2-b2a=------•-----aa+b_S+6HGa—6H6aaa+b=a-b,Va-b=y,x.ᦑ⌱D.$Ç⚪É⌕ὃËᑖxḄᓄÍ-|JKᓄÍᑖxFP⚪ᐵÏ.5.sÑᜧᐶÓÔÕ“ាs×ØÙÚÛÜ”EÞßàÙÚᜧá•âàãäå30æsCᨴèḄÙÚéêᦪ`ᐹìᦪR᝞⊤ᡠAÙÚᦪ`G✌4567891011Hòᦪ34457511±²B30æsCᨴèÙÚéêᦪ`ḄíᦪE>ᦪᑖîFGHA.11,7B.7,5C.8,8D.8,7ூJKLᫀ௃D

49ூOP௃ᑖ᪆᪷R“íᦪ”“E>ᦪ”Ḅ{õ¾ᑖ᪆ᑨ÷ᓽù.OP(1)ᵫ⊤EᦪRùnéê8✌ÙÚḄòúᨵ7òûüᦪRḄ“íᦪ”F8(2)ᑖ᪆⊤EᦪRùnB30DᦪRᢥgᑮᜧḄþÂ᣸ᑡ
1516ᦪ7,.♦•ᦪḄ“ᦪ”7.ᡠᦪḄᦪ8,ᦪ7.ᦑ⌱D.៉“ᦪ”“ᦪ”Ḅ!"#$⚪Ḅᐵ'.6.ᙠᵫ*+Ḅ,-./ᡂḄ3X4Ḅ12ᨵ3,-./456789:67;,-./<67Ḅ=,-./᪀ᡂḄ?/@ABC?/ᑣE◤⌕67Ḅ,-./HI()জঝঞঠডঢণA.জᡈঝB.ঞᡈডC.টᡈঠD.ঞᡈতூ-V#ᫀ௃BூY"௃᪷ABC?/Ḅᭆ\]^_6ঞஹডa]bᡂ;ABC?/cᦑ⌱B.7.,dᢥ᝞?ᡠgḄhHiᐭ;-ᦪx,ikḄlm@853,ᑣnoᩩqḄxḄrᨵ+stuᨵ()A4B.5C.6D.6bூ-V#ᫀ௃BூY"௃ᑖ᪆᪷iklmhH᪾?VknoᩩqxḄsᓽ].Y"z4x+l=853,ᑣᨵx=213,

50z4x+l=213,ᑣᨵx=53,z4x+l=53,ᑣᨵx=13,z4x+l=13,ᑣᨵx=3,z4x+l=3.ᑣᨵx=yFᑣnoᩩqḄxrᨵ+stuᨵ5ᦑ⌱B.{⚪ὃ}~ᦪsᑣ"$⚪Ḅᐵ'.8.ᵬஹ+ᙠ~;lmkḄ⚣᳛kḄ?᝞?ᡠgᑣᔠ;lmḄ]A.;-☢Ḅk5Ḅᭆ᳛B.;¡k-☢¢Ḅᭆ᳛C.£¤ᑏk;᦮ᦪ§2᦮◀Ḅᭆ᳛D.;©ªḼ¬ᨵ⁐rᨵ+ᐸ°*+Ḅ±ᳫ;³ᳫ´£¤µk;³ᳫḄᭆ᳛ூ-V#ᫀ௃Dூᑖ᪆௃ூY"௃¶⚪"᪆Aஹ;-☢Ḅk5Ḅᭆ᳛@,ᦑ$⌱⚗┯ºc6Bஹ;¡k-☢¢Ḅᭆ᳛@:ᦑ$⌱⚗┯ºcCஹ£¤ᑏk;᦮ᦪ§2᦮◀Ḅᭆ᳛@ᦑ$⌱⚗┯ºcDஹ;©ªḼ¬ᨵ⁐rᨵ+ᐸ°*+Ḅ±ᳫ;³ᳫ´£¤µk;³ᳫḄᭆ᳛@2ᑘ.33,ᦑ$⌱⚗-V.3

51ᦑ⌱D.$⚪ὃ}~ᑭᵨ⚣᳛Àᭆ᳛ᜧÂÃĶÅ⚣᳛Æsᓽᭆ᳛.ᵨᑮḄÈÉ@⚣᳛=ᡠËÌᦪÍÎËÌᦪÏÐ.+a{⚪ᙠ"#⌕ᵨᑮᭆ᳛Ñ.9.᝞?,Ó´AᜐkÖ×ᓅÙÚ30°.ᔣßàtBᜐâ×ᓭÙÚ50°.ᔣßàtCᜐ{a:×ÍkÖa;æḄ.ᔣßàtDᜐᑣ/BCDḄèᦪ@éA>A.100°B.80°C.50°D.20°ூ-V#ᫀ௃BூY"௃"᝞?ᡠgᵫ⚪¤]^:Zl=30°,Z3=50°,ᑣN2=30°$ᦑᵫ஺C஻)8,ᑣ/4=30°+50°=80°.ᦑ⌱B.ᡃ{⚪ï⌕ὃ}~.ᔣðḄ!,+,-./012N3Ḅ4ᦪ67⚪ᐵ:.10.᝞?ᙠñ☢òðᙶ᪗õxOy,;A<=3,4?2@$A;0BC┐EFGᕜ$ᑣ;Arᨵùcj”“…j....ji…j,i……j:::....I…:::jijjjs0---1!ᓽc~jI"“U::::Apii…r:::::s::A.;MB.;NC.;PD.;Qூ+,Kᫀ௃C

52ூᑖ᪆௃᪷TEFḄឋVWX;ᑮEFḄZ[\]$⌲Gᑨ`ᓽa.ூb7௃7cdOAஹOMஹONஹOP,᪷TEFḄឋV$;AḄWX;ᑮEFḄZ[f0AḄg4X\]᪷Thijklm/ᳮa1OA=732+42=5>OM=732+42=5>0N="+p2=5,OP=V22+42=2^>0Q=5OA=OM=ON=OQ^OP/.ᑣ;Arᨵ;Pᦑ⌱C.u⚪ὃwḄ6EFḄឋVklm/ᳮ$x.EFḄឋVWX;ᑮEFḄZ[\]kᵨlm/ᳮzj{Ḅg67|u⚪Ḅᐵ:.11.}ᐢ⚪6ᡃ⚪G$ᜧᙠ1500$ᦟᨵḄ⚪.6᪵Ḅ“ᨵᐢ$ᨵ¡ᓝ£ᜮ$¥ᨵ¦ᓝ§¨$ᐢᔜª«”§®Ḅ¯°6ᨵ±²³}ஹᐢᙠG´$<☢ᦪ$ᨵ35ᜮ;<¥☢ᦪ$ᨵ94³·.zᔜᨵª³}kᐢ¸a1=?A.}20³$ᐢ15³B.}12³$ᐢ23³C.}15³$ᐢ20³D.}23³$ᐢ12³ூ+,Kᫀ௃Dூᑖ᪆௃¹ᨵx³}$y³ᐢ$᪷Tᨵ35ᜮஹ¥ᨵ94³·$ᓽa12ᐵºxஹyḄ»ᐗ½¾¿$7ᓽa12ÀÁ.ூb7௃¹ᨵx³}$y³ᐢ$᪷T⚪¯1

53x+y=352x+4y=94ᦑ⌱D.Â⚪ὃw»ᐗ½¾¿ḄXᵨ$ÃÄ]ÅᐵÆ$+,ᑡ2»ᐗ½¾¿67⚪Ḅᐵ:.12.ᡃᦪÈÉᑭᵨ“Ëᔠ½Í”=᝞Ïᵬ?ÃᑮᳫÒÒÓḄ¸½Ô.Õ6ᵫÖᙊØᑖÙ<ÚÛÖ½ᔣÝᐭG+½ÒCÖᙊØßᐳáᑖâᡂḄª«Ò.ÏäᡠæḄª«Ò6açâᡂ“Ëᔠ½Í”ḄGèéê$ᐸìíÏ᝞Ïî$ϧïâ6ðÒñᐸìíឋᡠòḄóôj.õᐸ+öÏk÷öÏøᐰ\C.$ÕḄ+öÏkúöÏᑖÙaû6=?ூ+,Kᫀ௃Aூᑖ᪆௃᪷Tüý“Ëᔠ½Í”Ḅª«ᱯÿᑖᑨḄᫀ.ூ௃“ᔠ”Ḅᐰ!"#Ḅ$%a$%bᦑ⌱A.(⚪ὃ+Ḅ,-./0ᓫ23Ḅ4567ᨵᜧ:;<Ạ⚪.13.>,?ᨴ8cZAAD=\,B/Z8C$NaC0°

54%AஹO.?ḄᕜI=4,QNaḄᜧRSᐵcBஹO.’.,S=lsina=sina,...?Ḅ☢FS/aḄUᦪcCஹ┯eNa=45஺#,?Ḅ☢F=llsin45°=^^c2DஹO...,0t)Va<90஺S=sina,.,.?Ḅ☢FSXaḄYᜧZYᜧ.ᦑ⌱C..g%(⚪ὃ+?Ḅឋ_ஹ┦i4iUᦪj,-⚪Ḅᐵk/lmno<(,-ᡠqAὃrὃ⚪s.14.᝞.”ᙠvw.ᓅyz30஺ᔣ|Qvw.Ḅ}~$8ᓟ.NḄBG(8,30°).ᵨ"᪵ḄN.B,CḄᑖBG8(8,60°),C(4,60°),ᑣvw.Ḅᙠ()ᓅAI-402,caOxA..஺B..஺2C..QD..O4ூOᫀ௃Aூᑖ᪆௃᪷]./ḄBG/(8,30°),B(8,60°),C(4,60°),Gᓽvw.Ḅ.ூ௃᝞ᡠ8C,I.஺vw.Ḅᙠ.஺ᦑ⌱A.t/.஺3Tj01(⚪ὃ+ᙶ᪗OOᑭᵨ>,.vw./⚪Ḅᐵk.15.᝞/7ᨵ"Ḅᱏᵨᑐ`ᩩ¢£¤ᑖ¥(¦ᐕ¨)7ᨵ©ªᑮ¬jῪ4iᱏḄ/()

55C170஺35,஽஺°AB/BDூOᫀ௃Bூᑖ᪆௃᪷]jῪ4iḄᑨ³᝞´`4iᨵ¬i!j,·¸¹¬iᡠºḄ»¼!j]µᓽூ௃᝞ᡠ4ACDABCD¯/jῪ4ic4DB᝞ᡠaABC7ᨵ©ªᑖᡂ¬jῪ4ic7\AB᝞ᡠ4ACD4BCD¯/jῪ4icADB᝞ᡠ4ACDaBCD¯/jῪ4i;

56c½70஺\35஺ு^ADBᦑ⌱B.(⚪Â⌕ὃ+jῪ4iḄᑨ³⚪#ÄÅ%jῪ4i/`ƺÇḄ³ÈÉG$ឋ_ÊG$ᑨ³ËN.16.¬ÎÏᙠÐ₏ÒÓÔÕ.RÖ×.AÙ£ÚÛÜᑮ.8,Rᐲ×.஺Ùq!"Ḅß6஺஺⌮#┐ÛÜ`ᕜâᑮ.C¬½ḄÛÜä£᝞1ᡠᐸAAC=DB.¬½"#¥æÛÜ¢ᑮ¯çèÛÜ#ÔÕéêᐸ3ë¤Q.CḄ}~VQ#3xCᓫ%îPḄºᐵï᝞2ᡠ.ᑣKᑡMOḄ/CPy12A.RÖḄÛÜäñòRᐲḄIB.¬½ᑖᙠ1.09î7.49îḄ#÷!⍗C.RÖÛÜᑮ.஺Ḅ#᎛Rᐲ>ú.஺D.ᙠ4.84î#¬½Ḅ}~üj;O஺Ḅþÿூ
ᫀ௃Dூᑖ᪆௃ᑭᵨᑨᓽ⚪.ூ௃Aஹᵫ9.68$%&ᑮ()*&+ᐲ17.12$ᑮ()*&Ḅ12345ᐲḄ6&ᦑ8⌱⚗;ᨵ=ᔠ⚪?@

57BஹBCᑖDᙠ1.09$G7.49$Ḅ%IJ*CLMNO&ᦑ8⌱⚗;ᨵ=ᔠ⚪?@Cஹᵫᐲᑮ*D◤17.12+2=8.56$&+7.49$Ḅ%IBCJ*CLMNOT12ᑮ*஺Ḅ%᎛&ᐲW;ᨵX*஺&ᦑ8⌱⚗;ᨵ=ᔠ⚪?@DஹT12ᑮ*஺Ḅ%᎛&BCḄLM
YOZ஺஺Ḅ[\&]%1=O=4.84,ᦑ8⌱⚗
@ᦑ⌱D.]⚪ὃ`Ḅa᪷cdᦪ&fg
hi&8⚪Ḅᐵkal⚪?&ᑭᵨᦪmḄno."ஹ56⚪17.pqr⌲+J5urஹvwuḄhxOZ.ூ
ᫀ௃2ூᑖ᪆௃ᐜᝅᵨ{|}~&᪷c᪷Ḅឋpq.ூ௃=rV5u2-rwu2=5-3=2,ᦑ28⚪ὃ`᪷Ḅᔠ1q.18.᝞,mABCDm&*D,CᙠBᙊḄEF&ᑣ/AḄᦪ.ூ
ᫀ௃60°ூ௃h8D•.•mN5CD&AB=AD=BC,¡;•*஺ஹCᙠ8ᙊḄEF&:.AB=BC=BD=AD,ᓽaO£¤m.&//=60஺.ᦑᫀ60஺.D19.᝞¥&¦ឋᳫ¨*©r0,3ugª&«ᡠ|ᔣ12&¯Tᳫ°ᑮ±m0/8஺Ḅ%²¦&²¦%²³¤OZᐭ³¤&Tᳫµ1°ᑮ±mḄ%&¶*µ2

58°ᑮ±mḄ%&¶*©2,...........µ஻°ᑮ±mḄ%&¶*©“&ᑣ*©3Ḅᙶ᪗a@*©2017Ḅᙶ᪗aூ
ᫀ௃(8,3)@(3,0)ூ௃¼⚪ᑖ᪆P(0,3)P\(3,0)P(7,4)P(8,3)R(5,0)P(1,4)ᨴ(0,3),234ᑣ*PḄᙶ᪗a6¿À¿ÁÂ&ᑣ2014+6=336......1,ᑣP==(3,0).20i4ὃ*ÄÅ⚪.£ஹ⚪20.ᵨ“ਮ”ÈÉÊË1qÌZÍ?ᨵᳮᦪaGb,ÄÈa^b=ab2+2ab+a.᝞33="32+2x1x3+1=16.(1)Ï(2)Ð3ḄÑ@(2)Òਮ3=8,ÏaḄÑ.ூ
ᫀ௃প-32@(2)a=0.ூ௃ᑖ᪆(1)ᑭᵨ⚪ḄËÈÉᓄÕ&pqᓽᑮhx@(2)ÖOᑭᵨ⚪ḄËÈÉᓄÕ&ᓽÏgaḄÑ.(1)(-2)ਮ3=-2X32+2X(-2)x3+(-2)=-32ஹ4+1.3a+1-a+1-tz+1(2)-------ਮ?=--------x3-+2x-------X3H---------=8a+8=8,2222a=0.*×]⚪ὃ`XᨵᳮᦪḄᔠ1q&ØÙÚÛ1qÜᑣa8⚪Ḅᐵk.21.ᙠ᧡Þ12ß&àá᪥ᦟäåGáæåçèÈ*ᢗê5ë&¯åᙳíîï⌱ðñò&¯ï⌱ðᢗêᓝ&ᢗ¶1ᑖ&;ᨵ¶ôᑖ&3ᑖ(õ3ᑖ)öᔠ÷&5ëᡂùúᑴᡂᩩmýp᝞¥

59åD{ᙳᦪÀᦪ|}ᔠ÷᳛ᦟäå—3—80%3.6—3.4460%2᝞ᦟḄᡂḄᳮᵫ!"#$ஹ&ᡂᦟ'Ḅᳮᵫ(!"#$3)*+,-./ᦟ0ᢗ234-ᦟ0ᡂ5ᙳᦪᜧᡂḄ9:ᦪ;<-./ᦟ0=9>ᑖ@஻ḄB.ூDEFᫀ௃1⊡ᐰ⊤MNO᪆Q2RᔠM᳛UVWXᩭZᦟᡂ,R5ᙳᦪஹ9:ᦪᩭZᦟQ3m=9ᡈm=10.ூᑖ᪆௃1᪷bᡂᩩdefgfhi5ᙳᦪஹ9:ᦪjVWᓽl;2RᔠM᳛UVWXᩭZᦟᡂR5ᙳᦪஹ9:ᦪᩭZᦟ;3᪷b4-ᦟ0ᡂ5ᙳᦪᜧᡂḄ9:ᦪfhᓽlூnO௃1⊡ᐰ⊤M᝞o:q5ᙳᦪ9:ᦪVWᔠM᳛ᦟ3.231.7680%3.643.4460%2RᔠM᳛UVWXᩭZᦟᡂR5ᙳᦪஹ9:ᦪᩭZᦟ;,ஹ+tuvl+3+3+4+5+zn3{⚪}~-------------->4,O~m>8,6(D᦮ᦪ,.,.m=9ᡈm=10.⚪ὃᩩdefgஹ9:ᦪ5ᙳᦪVW⚪}!O⚪Ḅᐵ.

6022.ᨴḄᔊ9,ᨵḄ⚪'ᵨᙠX☢᝞gᡠḄᓝ᪾);¢},ᓝ᪾£Ḅ¤ᦪaஹbஹcஹdஹk.;9ªḄ,ᦪk,᝞g«¬Foᑡ⚪«1ᔊ9¯i____ᓝ᪾$2)a+b+c+d=84,@kḄB«3!ᔲ²ᙠkḄB³~a+b+c+d=108,´µ&ᳮᵫ.——./0112345678910111213141516171819202122232425262728293031ூDEFᫀ௃112Q2k=21Q3¶ᨵ²ᙠkḄB³~a+b+c+d=108,ᳮᵫNO᪆.ூnO௃ᑖ᪆«1·¸ᑭᵨº»g⊤ᑖ᪆~i¼ᔠ⚪}Ḅ:½Q2ᑭᵨᔊ9ᦪb¾ªḄᐵ¿ÀÁ~ikḄBQ3ᑭᵨᔊ9ᦪb¾ªḄᐵ¿ÀÁᑖ᪆~iFᫀ.nO«1ᵫ⚪}l~«ᓝ᪾⚔Ãᑖqᙠ«1,2,5,6,1,8,9,12,13,14,15,16,ᐳᨵ12:½Q2ᵫ⚪}l~«;ᨬX☢a,ᨬÆÇb,ᨬÈÇc,ᨬo☢d,ᑣb=a+6,c=a+8,d=a+14,k=a+7,ᦑa+a+6+a+8+a+14=84,O~«a=14,ᑣk=21Q3¶ᨵ²ᙠkḄB³~a+b+c+d=108,ᳮᵫ«Ëa+b+c+d=108,ᑣa+a+6+a+8+a+14=108,O~«a=20,ᦑd=34>31¶ᨵᔠ⚪}ᦑ¶ᨵ²ᙠkḄB³~a+b+c+d=108.ÌÍ«⚪Î⌕ὃ,ᐗVÑḄÒᵨDE~iᔊ9ᦪb¾ªḄᐵ¿!O⚪ᐵ.23.º»«·ÓhU·ÓL5Ö×ØÙ¾ªḄÚÛ3,A,B!·ÓhXḄÞßÌC,D!·Ó12XḄÞâÌÌCᙠÌDḄÆãAB=CD=6,ä¸ACஹBDஹBC,åAABCæBCᢚè~ᑮAAIBC.᝞g11ËAiUDëᔠì᝞g2,íÇdABDC!"#íÇd"#$

612ËAiUD¶ᨵëᔠìä¸AiD,ᑣAiD஻BC¶ᨵ◤ï&ì)AiB,C,D⚔ÌḄíÇdðd×ðdḄÇñᑖqa,b,@a+b2ḄB.ூnO௃ᑖ᪆«1᪷bᢚèḄឋó~ᑮAC=CD,ᯠ3᪷bõdḄᑨßV÷lᑨøíÇdABDC!õdQ2ùú«Ë/CBD=90°,ᑣNBCA=90°,ᵫSAICB=SAABC=6,ᑣSÿAICBD=12,ᓽab=12,AᵫBAi=BA=6,᪷ᳮᑮa2+b2=36,ᯠ᪷ᐰ!"#$%NBCD=90஺,ᑣNCBA=90°,᧕BC=3,/CD=6,ᡠ12a+b3423+632..6782139:;ABDC<=;$VAB=CD,AB஻CD,/•9:;ABCDB!9:;CD...AiEDFᔠHC$.AC=CD,9:;ABDC<=;$223%1Ai,B,C,DB⚔JḄ9:;BL;᝞N1HCOPAiB,SAAICB=SAABC=7><6X3=9CSLAICBD=18,ᓽab=18,/ᙠR3BCDUC.,.a2+b2=CD2=362a+b32=a2+b2+2ab=36+36=72>%1AiCB,C,DB⚔JḄ9:;BL;᝞N2HCX2a+b32=23+632=81,...2a+b32ḄYB72ᡈ81.

62J[8\⚪ὃ_`9:;aᔠ⚪8bcde9:;ḄᑨEឋh1i!9:;ḄᑨEឋh$jkᵨᢚnḄឋhopqḄrstu.24.wxXyzᦪy=a/+3஻.-6--1-1I1II1111111A-6-5-4-3-2-1O123456v1-2-3-4-5.6_213}XyzᦪN~Ḅ

63ᦑ2.(2)$}XyzᦪḄN~ᔣC¹Brx=2,%x=2HCy¢ᑮᙠl5H,ᙳyi>y2,%ᱥrᔣC¹-Ç45Hᩩ½CAf>-l,t+l<5,\⚪ὃ_XyzᦪḄឋhCzᦪḄᨬYµ⚪qxÉC7⚪ḄᐵË<ᮣÍkᵨᡠÎxÉ7´µ⚪CÏUὃÐὃ⚪Ñ.25.ÒÓÔÕ(1)᝞N1,wxÖABC,×AABCḄUrAD,ØᑨÙaABDEaACDḄ☢ÛᜧÝᐵÞ.(2)᝞N2,ᙠ☢uᙶ᪗ÞUC^ABCḄ:BCᙠxCwxJA(2,4),B(-1,0),C(3,0),âoãJAḄäᩩr1,ᑖÖABCḄ☢ÛCᑏr1Ḅ⊤æ.aᔠkᵨ(3)᝞N3,ᙠ☢uᙶ᪗ÞUC᝞çA(1,4),B(3,2),èéᙠry=4x+20<ᔲëᙠäJC,ìr0Cាîᑖ9:;0ACBḄ☢ÛïëᙠC"#JCḄᙶ᪗$ðᨵëᙠCòóᳮᵫ.

64>=-4x+20S2N34060ூ¦o§ᫀ௃(1)SAABD=SAACD;(2)y=4x-4$(3)ITITூ67௃213᝞N1,ã/ÓZ£_L8CJE,:.-BDAE=-CDAE,22ᓽS"BD=S"CD$•••8(—1,0),C(3,0),.-.F(l,0),ôr/Ḅ⊤æB2õ+b=4k=4ö/ஹḄᙶ᪗øᐭ°ú+6=஺,7ûb=-4"

65•••r/Ḅ⊤æBy=4x-4$233᝞N3,O45ü0cJG,N3•.•r0Cាîᑖ9:;OACBḄ☢ÛCr0Cã18ḄUJCᓽGBḄUJC•••Zl,4,83,2,.G2,3,330CḄ⊤="ᑣ3=2஺,஻=5,,•0C⊤=,!ὶ40[y=-4x+20x=*$%᪆',3(1160y=TT.../ᙠ12ᩩ4Ḅ5C,ᐸᙶ᪗------.111126.᝞;1,<=10Ḅ>N@5஺AB90°ᑮ08,5/ḄGHIJKᡝMNO஺BQ*H5஺MRQḄ*H5STP0.1NPOQ=VWX஺ᨵZZ.2᝞;2,[XM஺8\5]^5P,_`Ḅ=3᝞;3,<ᡧb/08cᢚe4Xᢚfg58Ḅhi58'ាlmᙠ஺4Ḅn=Q_▢pqᑖ☢t.4᝞;4,<ᡧbW8cP0ᢚfgᢚfvḄwាlxNO04yᑗᑗ5C,[஺X=6,_5஺ᑮᢚeP஺Ḅ{|.

66ூ~ᫀ௃প90107223-7T-,3ூᑖ᪆௃1ᐜᑨX஺W5஺x5/ᔠ5Px58ᔠᓽ'2ᐜᑨ/X஺஺=60°,ᵨw=ᵨw=ᓽ'3ᐜᙠRtAS,OP\஺஺2+10ஹᔊ—102=10—஺X,஺0=10ᓛ—10,ᵨ☢tḄᓽ'.4ᐜ5Oᐵ^X஺Ḅh¢5ST஺஺\1TBஹO'CஹO'P,¤¥¦§bOCO'8M¨bᵫª«¬ᳮ_஺8,®¯_஺஺'Ḅ=°¯OM.ூ²௃1;PMNOQ*H5஺M᪗QḄ*H5´X஺W5஺x54ᔠ5Xx5BᔠµW,APOQ=90°,PQ=ylOA2+OB2=10>/2>ᦑᫀ90,102᝞;2,ST00,,5XM08Ḅ\5:.OP=^OB=^OQ.QP1OB,ZOPQ=90"OP1ᙠRt^OPQ\cosZQOP=¸*=—,ZQOP=60°,.60/rxlO10=-------=--7T;BQ18033ᵫᢚfḄឋ»'BP=BP-AB'=AB=lW,ᙠRtA5OX\஺X2+10¼—102=10—஺/½2OP=10¾

67S▢p=Sᡧb¿*2ss=ᑶ"X102_2X/0106—10=25L100S+100-4
5Oᐵ^X஺Ḅh¢5஺1ST஺஺'ஹ஺'8ஹO'CஹO'P,᝞;4,ᑣ஺0=0'ÄOO'LPQ,O'P=OP=6,5O'MᔲᡠᙠᙊḄᙊÈ.•.01=08=10,ᢚfvḄw஺8'ាlxNOOAyᑗ^C5.-.O'CIAO,:.O'CHOB,••¦§bOCO'8M¨bᙠ\9'5=V62-42=275-ᙠRt^OBO'K,OO'=JIO?+12st=2730:.OM=-00'=-x2y/30=y/30,22ᓽ஺ᑮᢚeP0Ḅ{|¯µ⚪MᙊḄÊᔠ⚪Ë⌕ὃÎᙊḄឋ»w=ᡧbḄ☢tÏÐMÑ⚪ḄᐵÒ.