2022-2023学年南京市高二上期末考试数学模拟试卷及答案

《2022-2023学年南京市高二上期末考试数学模拟试卷及答案》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
ᓭὃᦪᔁ.⌱⚪ᐳ8⚪1.2020•ᱥyM5x2Ḅᯖ#ᙶ᪗&A.,0B.,0C.,0D.0,4b1242.2020•ᜩ)*ᦪ᜛=_._Ḅ/0ᜧ23x2+l2-D.3.2020•406R,ᑣ“஺89”&“;82”ḄA.ᐙᑖ>?⌕ᩩBB.?⌕>ᐙᑖᩩBC.ᐙ⌕ᩩBD.C>ᐙᑖD>?⌕ᩩB4.20214ᨴFG2010
HᩭJஹஹLḄMNᙳᕈQRSTUḄᓣWXJHMYὁஹHM3ὺḄᳮ]^ᐭ`aJbcᔜᙢMfghijḄk᧕ᦪmnopq.Qr4Mfghij2010-2019
4ᨴFḄsMtuvw᝞/ᡠzJ᪷|2010-2013
,2014-2016
J2017-2019
Ḅᦪ|ᑖ~Ty=b1x+ay=bx+a'22AAAy=bsx+a,ᑣ1⚓ᐳ29⚓

1ᡂ
yᝅAb[>b2ுb3Ja3">a2'>a1B.b2>b]>b3J@3>&2>1A44444Cb]ுb2ுb3J@3>@1>2AAAAAAD,b2ுb[ுb3Ja3ுa[ுa25.2020•ᓭᙠ/BCDᔜ45ஹBCஹCDஹᑖ~#EஹFஹGஹH,ஹG஻k#P,ᑣA.#P?ᙠ/CB.#?ᙠ3C.#P?ᙠ☢ABDᑁD.#?ᙠ☢BCDᑁ6.2020•ᗩᐶr31Ḅ/8CZ
¡8஺¢ᢚJbc☢¡Z-8஺-CḄ☢¡Ḅᜧ3¥L,E,ᑖ~&¦/C§8஺Ḅ¨#Jᑣ©•ªḄ«33A.[-1,0]B.[-1,-i-]C.,0]D.[—i,-i-]7.2020•®¯᪥±²ᜧᑭᦪ´ᦾ¶·᜿1770¹1250
,Hᐢ»¼½3¾J¿ᐭ“ᐢ»ᦪᑡ”Áᓽ1,1,2,3,5,8,13,21,34,55,89,144,233,.ᙠÃ▭ÅÆgJÇÈÉᩏ᝞᫥ÉJÌÍ₝JÏÐÑÒḄÓᦪា&ᦾ¶·᜿ᦪᑡgḄᦪJᦾ¶·᜿ᦪᑡᙠᱥᳮÕᓄÒ⚞ØDᨵḼÛÜcÝᵨ.ßàᦾ¶·᜿ᦪᑡá“”âãäÁå=1,஻2=1஺஻+2=஺஻+1+çJ஻2+஺3+஻5+஺7+49+…+஺59=Jᑣ/=A.2020B.2021C.59D.608.2020•®¯᪥±ßàé>0,>>0,ë9x+y=l,ᑣìJḄᨬ«&xyA.10B.12C.14D.162⚓ᐳ29⚓

2.È⌱⚪ᐳ4⚪9.2020•ᐜr*ᦪ£6=B$2÷øḄ/0ᔜ#Ḅùᙶ᪗úᑮüᩭḄ4ýJþᙶ᪗Rÿ
ᐸᔣᑮᦪy=gxḄᑣᦪgxḄ3A."=7ᐔB.2Lc.X=2TTD.X=
V=3310.2020-•ᓭ0123456789:ᙢᙳᒴḄ>☢ᑖA᪗ᨵ1,2,3,4ḄG>☢HIJ.KLMN=OPI9>☢HᔣQḄI☢RSᏔᦪU;LM8=OPX9>☢HᔣQḄI☢RS᜻ᦪU;C=O89>☢HᔣQḄI☢ᡈὅ45RS᜻ᦪᡈὅ45RSᏔᦪU.]RQᑡ_`:A.P(4)=P(8)=P(C)dB.P{AB)=P(AC)=P(BC)CP(ABC)=4;oDP(A)P(B)P(C)4,oᐸfGgḄA.AB.BC.CD.D11.2020-•hij᪥l12mᓱoஹqrsẆuvx-1x-2x-3=xy,ᐵyz9⊤|Ḅ}~ᨵQᑡ_`ᐸfGgḄᨵA.}~ᐵyyB.}~ᐵyC.}~vP▲D.}~ᨵᨵ9Ḅஹᙶ᪗s᦮ᦪx12.2021•j᪥lḄᡃḄᜧᙳᑮ4Ḅ¡,ᐸfPfḄᔜ9£s☢¤Ḽ¦ᜧḄ⃩ᦈ©ª.2020«7ᨴ®¯°±²ᡃ³«ᑁµᦪ¶᝞ᡠ|¹1ºᑁᜧ»¼2ºPfᔜ£»¼.½Qᐵyᡃ³«µᦪ¶Ḅ_`GgḄP3⚓ᐳ29⚓

32A.ᙠPf“ᢇÃÄŔǓÈÉ”ḄÊËÌÃ4“ᐸÍÎÏ”ḄÊËÐÑᢝB.Ó“ÔÕÃᖪÏÎÏ”Ê˺15000×ᐗᑣ“Ùᙢ”Ê˺40000×ᐗC.Ó“ÈÉ”Ê˺42000×ᐗᑣPÊ˺262500×ᐗD.Ó“ÈÉ”Ê˺42000×ᐗᑣPIÊ˺45000×ᐗ.ÚÛ⚪ᐳ4Ý⚪13.2020-•Þßj12IᐗXJàá2F-3X+1W0Ḅâãº.14.2020-•Þßj12äåᦪ/x
=sin2x,ᑣᦪḄº.15.2020-•ᓭ012Ꮇ3⌕ὃéêëìḄ500íîïq᝘Ḅñòóᔲõ᪗Sö800îq᝘f÷ø60îù£úû,ᑭᵨþÿᦪ⊤᪵ᐜ800᝘ᢥ000,001,-1799᝞ᦪ⊤78ᑡḄᦪᔣ!"ᑏ$ᨬᐜ&'Ḅ3᝘Ḅ.)*☢᤺-ᦪ⊤7.9/844217533157245506887704744767217633502583921206764⚓ᐳ29⚓

4630163785916955667199810507175128673580744395238793321123429786456078252420744381551001342996602795416.)2020=•?@A᪥CDE/᝞FᙠHIJ1ḄKLM-48105OPE,FᑖTUH2CஹḄOPPUY☢BCCiBiᑁ]P)^_`/a/1P஻d☢NEF,PgḄhiIjJ.klmgnd☢ᡠᡂqḄKᑗsḄsuU.17.)2020=•vwADE/xyzᔠ4={x*-4x+3W0},B=,a“xe/”U“xEB”Ḅ⌕ᐙᑖᩩ$᝞*ᩩজ{x|a-iWxWa}ঝ{x|aWx

520.2020%•ᓭ()*“,-ᩩ/01ᑭ345678”:Ḽ2021<4<=>Ḅ᦬@ᡃBC1980

61;¼᜜§¨ᙳ¬ᔠᐸ§n⚗▬qᡷ◀.435¾Ḅn⚗▬qᡷ◀᪗Àb^tu1000ᐗ/ᨴ᝕ᦟyd°1000ᐗ/ᨴ{|ὁ62000ᐗ/ᨴ~.Ꮇľ¾ᦈᐭḄ/TὅÆÇCÈÉn⚗▬qᡷ◀Ê⚜¦Ḅ¾¾ᦈᐭḄ/TὅḄ6ᙳᨴᦈᐭËbᐸ6ᨴᦈᐭ.᪷Í᪵ϦÐÑḄÒÓÔÕ᝞Ö⚪^(1)¾¾ᦈᐭḄ)ὅ2021<ᨴ3ḄᡠᨵÚÛᐸᭆ᳛.(2)᪷Í43ᫀ¦2021<1ᨴÝÞ¢¯ᨴ¾¾ᦈᐭḄὅᔜᨴàḄ3²zá2019<Ḅᨴᦈᐭâ2221.(2020%•ãäå᪥)*)çèéᙊCḄìb"î=],aQ(2,0)Vñò423éᙊàó4B,õ¸éᙊḄö⚔a.(1)ø^PA1.PB-,(2)|Dúõ5|Ḅᨬᜧü.22.(2011%•ýþ)*)ÿ┵ᑓ1.☢/8C஺☢ᨵ18=1,AP=V2ZBAD^120°,EPC.(I)ZC_L☢BED%(II)&'☢(E-48-CḄ,☢(Ḅ-./.07⚓ᐳ29⚓

72022-202334ᓭ678'9:;ὃ=ᦪ3?@=ᔁὃᫀ⚪᪆B.⌱D⚪Fᐳ8G⚪H1.F2020J•LMN:;HOᱥQR=ST2ḄᯖVᙶ᪗YFH3A.ᔁ0HB.᧡0HC.,0HD.F0,ூὃ௃OᱥQḄឋ[.ூ⚪௃᦮]^_%`ᔠb%ᙊ┵dQḄefஹឋ[hij%ᦪ3kl.ூᑖ᪆௃mOᱥQḄijᓄᡂ᪗pijqr&sᯖVᙶ᪗.ூuv௃uOᱥQx=S/yz/=3y,3ᡠ~ᯖVᙶ᪗F0,3H,4ᦑ⌱D.ூ௃⚪ὃOᱥQḄ᪗pḄᓄᵫ᪗pij&ᯖVᙶ᪗ḄibẠ⚪.2.F2020•ᜩHᦪy=BBḄᜧHx2+lA.2-D.08⚓ᐳ29⚓

8ூὃV௃ᦪḄhḄᣚ.ூ⚪௃l⚪ᦪ^_%ᦪᔠb%ᦪḄឋ[ᵨ%_.ூᑖ᪆௃᪷ᦪḄ᜻Ꮤឋ¡ᦪ/Ḅ¢£ᓽyᑨ¦.ூuv௃uᦪx=4^•Ḅef¨©ᦪªRᐵV®¯x2+lᦪy=/(x)=-^—,ᑣ/(-x)ᑣᦪN=/(X)᜻ᦪx2+lx2+lᦑ᣸◀C,D,·x¸0¹y=f(x)¸0,ᦑ᣸◀8,ᦑ⌱A.ூVº௃⚪ὃxᦪḄ»¼Ạ⚪.3.(2020J•LMN:;)½“6R,ᑣ“”¸ᧇ”Y“¸2”Ḅ()A.ᐙᑖÄÅ⌕ᩩÈB,Å⌕ÄᐙᑖᩩÈC.ᐙ⌕ᩩÈD.ÉÄᐙᑖÊÄÅ⌕ᩩÈூὃV௃ᐙᑖᩩÈஹÅ⌕ᩩÈஹᐙ⌕ᩩÈ.ூ⚪௃l⚪%Ëᓄ^_%efb%᧕ÍÎ%ᦪ3kl.ூᑖ᪆௃&uBᐗ'ÐÑÒÓÔᔠᐙᑖÅ⌕ᩩÈḄᑨezvᫀ.ூuv௃uᵫ¸2,z“Ö×ᔊᡈ஺¸2,ᓽᵫ஺ு~ᔊyz¸2,ÛÜÑBeᡂÝᦑ%¸ß”Y“и2”ḄᐙᑖÄÅ⌕ᩩÈ.ᦑ⌱A.ூVº௃⚪ὃxᐙᑖÅ⌕ᩩÈḄᑨeὃBᐗ'ÐÑÒÓḄubẠ⚪.4.(2021Fᨴâ?@)ã20104~ᩭBஹ'ஹåQḄæçᙳᕈêÑëjìḄ9ᓣîï~æðὁஹ~æὺḄᳮôõᐭ÷øùzᔜᙢæüýþÿḄ
᧕ᦪ.Z2010-20194ᨴḄ!᝞#ᡠ%&᪷(2010-2013,2014-2016,2017-2019Ḅᦪ(ᑖ./01234567:1x+apy=bx+a'22AAAy=bx+a,ᑣ()33D9⚓ᐳ29⚓

9ᡂ
yᝅAbGுb2ுb3&a3^>a2">a1B,b2>b]>b3&23>@2>a[A44444Cbj^>b^>b,@3>@[>S223AAAAAAD,b2ுb[ுb3&a3ுa[ுa2ூὃW௃4ឋ1256.ூZ⚪௃᦮]^_`aᔠc`ᭆ᳛f!`ghiᳮ.ூᑖ᪆௃1234ᑖlᙠᦣW#▬p&ᵫbraḄstuvwᔠ#xᑖ᪆ᓽzᑨ|.ூ}~௃}1234ᑖlᙠᦣW#▬p&b⊤%1234Ḅ᳛&⊤%1234ᙠyḄ&ᵫ⚪uz&2010-2013&yxḄ&2014-2016&yxḄ&2017-2019&yxḄ&ᦑb[>b2>b3,ᵫ#z&a3>a2>a/ᦑ⌱A.ூW௃⚪ὃ1256Ḅᳮ}rᵨ&}⚪Ḅᐵ}1256ḄbraḄstuv&ᓽb⊤%1234Ḅ᳛&⊤%1234ᙠVḄ.5.2020•ᓭ¢£¤¥ᙠ¦§¨©ª/8C஺ᔜ©/8ஹBCஹCDஹᑖ.¯WEஹFஹGஹH,²34EFஹGHµ
¶W·&ᑣ¥D10⚓ᐳ29⚓

10A.W·¸ᙠ34/CB.W·¸ᙠ3480C.WP¸ᙠ☢ABDᑁD.WP¸ᙠ☢BCDᑁூὃW௃☢Ḅ¼ឋ½¾i¿.ூZ⚪௃ᦪªwᔠ`aᔠc`¦§ÀÁᐵÂfÃ`ghiᳮ.ூᑖ᪆௃᪷(ᳮ᝞ÄÅÆ☢ᨵÈÆᐳW&ÉÊËÌÍᨵᐸÏᐳW&ÐÑÒᐳWḄÓᔠÈᩩÕÑÆᐳWḄ34&Özᑨ×w¿.ூ}~௃}Ø#᝞ÙPÚÛE·Ü¶ÈÆ☢&G&ܶÝÈÆ☢&ÐEFrG”ßµ
¶W·&ᡠà·ᙠÅ☢Ḅ
4&ÚÛNCÅ☢Ḅ
4&ᡠàW·¸ᙠ34/C.ᦑ⌱A.ூW௃⚪â⌕ὃ☢Ḅ¼ឋ½&}⚪Ḅᐵᳮ}ᳮ3,äåὃæçḄiᳮßè&ܶ¼Ạ⚪.6.2020•ᗩᐶìí¥©îÛ1Ḅï5ªN8CDðñò48஺óᢚ&õö÷☢ò4-8஺-CḄ☢òḄᜧùÛú&E,Fᑖ.4ûè஺r8஺ḄüW&ᑣý•Ḅ¯þ3
A.[-1.0]B.[-1,1]C.[J-,0]D.[A,1]ூὃ௃☢ᔣᦪḄឋᐸ!"#☢$Ḅ☢$%&.ூ'⚪௃)!⚪*ᦪ+,ᔠ*.ᔠ&*ᭆ᳛12)*345ᳮ.ூᑖ᪆௃59:;•==B0+0E•C0+0F=B0-CO^BO-0F+0E-CO+0E-OFD11⚓ᐳ29⚓

11=-ᵫHI%:J•KḄL.ூMN௃M*᝞PQBE-BC=BO+OE•CO+OF=CO+BO-OF+OE-CO+0E-OF=0-(OB-OF+OE-OC)+0=-(OB-OF+OE-OC).,•,QB=OD=^1],\'OC=OA=J^,#☢$A-BD-CḄ☢$ḄᜧU
V,23.••0E-0Ce[l,1],42.'.BE-CFe[-1.V].4ᦑ⌱:B.ூZ௃[⚪ὃ\ᔣḄᦪḄ]LḄ%&Qὃ\_`ᔣᙶ᪗!&ᑣஹᔣḄᦪᐵfghẠjkQὃ\5ᳮlmInQop᫏⚪.7.2020r•stu᪥wxyzᜧᑭᦪ|}ᦾ᜿17701250
,ᐢ
Qᐭ“ᐢᦪᑡ”*ᓽ1,1,2,3,5,8,13,21,34,55,89,144,233,.ᙠ▭pQᩏ᝞᫥Q₝QgḄᦪាoᦾ᜿ᦪᑡpḄᦪQᦾ᜿ᦪᑡᙠᱥᳮᓄ|g⚞£¤ᨵḼ§¨©ªᵨ.¬jᦾ᜿ᦪᑡ”¯°±*²=1,஺2=1a+2—an+\+a>´஺2+஺3+஺5+஻7+஺9_|-----"l59=akµ¶J·=nnA.2020B.2021C.59D.60ூὃ௃ᦪᑡ⌴5¹.ூ'⚪௃ºᓄ»¼"½¾&"ᑡஹ⌴¿ᦪᑡ1ᦪ|¿À&"ᦪ|!.ூᑖ᪆௃ᵫ஺1=42=1,a+2=a+l+an«6N*
,Á©஺2+஺3+஺5+஺7+஺9+…+"59="60=ÂQnnÃK%:ÄḄL.D12⚓ᐳ29⚓

12ூMN௃M*Nᦾ᜿ᦪᑡÅƯ°±:஺1=42=1Qa+2=an+i+a(஻WN*),nn/.02+43+05+47+09+'',+஺59=஺4+஺5+஺7+஻9+,,+஺59=46+஻7+஺9+…+஻59=••=஺58+஺59=஻60=dkᑣÈ=60,ᦑ⌱*D.ூZ௃[⚪ὃ\ᦪᑡ⌴5¹ḄªᵨQj0=42=1ÈQÉʪᵨÆ+2=Æ+ËÆ஻WN*
oMÌÍ⚪ḄᐵÎQὃ\34»ÏIn15ᳮ!InQÐÑp᫏⚪.8.2020r•stu᪥wxy¬jx>0,y>0,Ò9x+y=l,ᑣV+•1ḄᨬULoxyA.10B.12C.14D.16ூὃ௃h[Ôg¹ᐸªᵨ.ூ'⚪௃)!⚪"Ôg¹ḄM&ªᵨ.ூᑖ᪆௃᪷Öx>0,y>0,Á×9x+y=lØᐭx+yªᵨh[Ôg¹ᓽÁ.ூMN௃M*.”>0,Ù>0,Ò9x+y=l,—9x+y
—4-^
=10+—^2L=^6+10=16,xyxyxyÚÒÛÚV⁐Ò9x+y=lᓽxÝQy=”gÞxy12'4ᦑ⌱*D.ூZ௃[⚪ὃ\h[Ôg¹ḄªᵨQMÌḄᐵÎo×9x+y=lßàØᣚQMÌḄâ&oh[Ôg¹&Qoã᧕⚪.#.⌱⚪ᐳ4U⚪9.2020r•åæuxyᐜ×èᦪ£&
F஺$2ê$ḄPëìᔜḄîᙶ᪗ïðᑮòᩭḄ4ôQõᙶ᪗ÔöQ÷×ᐸᔣøùV©ᑮèᦪy=gx
ḄPëQᑣèᦪgx
Ḅ3úûüâýÁIoA.12LB.2Lc.X=2TID.X=0Y=Y=33D13⚓ᐳ29⚓

13ூὃ௃èᦪy=Asin(cox+cp)Ḅᣚ.ூ⚪௃ᓄᔠᦪḄ!ឋ#ᦪ$ᑖ᪆.ூᑖ᪆௃ᵫ⚪(ᑭᵨᦪy=Zsin(3x+௃=•••ᐜAᦪf(x)=cos(2xf)ḄDᔜFḄGᙶ᪗JKᑮMᩭḄ4P3Qᙶ᪗R3S9y=cos(^-2L)Ḅ23WAᐸᔣZ[\]9ᑮᦪy=g(x)=cos(i-2L)Ḅ.3266`ga),bc9g(X)=-1,fᨬhi3ᦑfᦪg(X)Ḅk33ᩩ67mno3ᦑ44pbq=r3c9g(X)=1,fᨬᜧi3ᦑX=Nfᦪg(X)Ḅkᩩ67mno3ᦑ33B4pbx=2mc9g(x)=-v3Rwᨬi3ᦑx=2nRwg(x)Ḅkᩩ67mno3ᦑ2C┯zbx=0,c9g(x)=v3Rwᨬi3ᦑx=0Rwg(x)Ḅkᩩ67mno3ᦑD2┯z3ᦑ⌱AB.ூF~௃⚪⌕ὃᦪy=/sin(3x+(p)Ḅᣚ12345ᦪḄḄ67ឋ3`Ạ⚪.10.(2020•ᓭ)#ᙢᙳᒴḄ☢ᑖ᪗ᨵ1,2,3,4Ḅ4☢k./=¡k☢ᔣ¢Ḅk☢:£Ꮤᦪ¥;8=¡¨☢ᔣ¢Ḅk☢:£᜻ᦪ¥;C=☢ᔣ¢Ḅk☢ᡈὅ:£᜻ᦪᡈὅ:£Ꮤᦪ¥.¬:¢ᑡ®A.PCA)=P(B)=P(C)B.PCAB)=P(AC)=P(BC)Cp(ABC)=r8°P(A)P(B)P(C)4-oᐸ³4pḄw()A.AB.BC.CD.D¡14⚓ᐳ29⚓

14ூὃF௃¶·¸¹º¶·¸¹Ḅᭆ᳛½¾¿.ூ⚪௃noÀÁᭆ᳛!ÂÃᦪÄÅÆ.ூᑖ᪆௃ᑖc:Ç(4)=2=r3P(B)=.2=1,P(C)=1x—424222222Wᵫ4,B,Cw¶·¸¹3/ஹBஹCRw·Ê3Ëc:;Ì.ூ=>௃=#ᙢᙳᒴḄ☢ᑖ᪗ᨵ132,3,4Ḅ4☢k./=¡k☢ᔣ¢Ḅk☢:£Ꮤᦪ¥,ᑣÇ(4)=2=r3428=¡¨☢ᔣ¢Ḅk☢:£᜻ᦪ¥,ᑣÇ(8)=2=r342C=☢ᔣ¢Ḅk☢ᡈὅ:£᜻ᦪᡈὅ:£Ꮤᦪ¥,ᑣÇ(C)=).P(A)=P(B)=P(C),ᦑN4p,)A,B,Cw¶·¸¹33Ç(4B)=P(/C)=P(BC)=-Îᦑ84224p••1ஹBஹCRw·Ê,psgc)=2-^4p3ᦑc┯z;8VP(A)=P(B)=P(C)=A,AP(A)P(B)P(C)4,ᦑ஺4p.2oᦑ⌱ABD.ூF~௃⚪ὃᭆ᳛Ḅc3ὃ¶·¸¹ᭆ᳛½¾¿ஹ·Êᭆ᳛Ѿ¿ÒẠÓÔ3ὃÅÆc=ËÕ3wẠ⚪.11.(2020•Ö×Ø᪥Ú)ÛᓱÝஹÞßàẆâãno(x-1)(x-2)(x-3)=xy,ᐵ`åno⊤çḄèéᨵ¢ᑡ®3ᐸ³4pḄᨵ()A.êèéRᐵ`ym67B.êèéᐵ`MF67C.êèéRëã¡▲D.êèéDᨵíîᨵFḄGஹQᙶ᪗àw᦮ᦪxூὃF௃èé!no.ூ⚪௃noᓄᙊ┵èéḄÀÁஹឋ#!noòóôᳮ.ூᑖ᪆௃ö-X÷øX,SᑨúÕwᔲ4pö-X÷øX,÷øy,ᓽSᑨú8wᔲ4pýx<0,y<03(x-1)(x-2)(x-3)<0,xy>0,þᯠ
ᡂᓽᑨ15⚓ᐳ29⚓

15Cᔲ᪷⚪(-1,24)(1,0)(2,0)(3,0),ᑨ஺ᔲூ$%௃$'()(x,y),-.(x-1)(x-2)(x-3)=012-x34x,ᑮ(x+1)(x+2)(x+3)—xy,
ᦋ8ᦑᐵ;y<=>ᦑ/2734x,-v34Bᑮ(x+1)(x+2)(x+3)=-xy,
ᦋ8ᦑᐵ;CD=>ᦑ8┯GHxீ0,y<0K(x-1)(x-2)(x-3)<0,xy>0,Lᯠ
ᡂᡠ2O-.PQRS▲ᦑC.x=-1y=24,ᓽ(-1,24)〉ᔠ⚪Wᳮ(1,0)(2,0)(3,0)〉ᔠ⚪ᦑ஺┯Gᦑ⌱'AC.ூDZ௃[⚪ὃ]-.^
=>ឋ`;aẠ⚪.12.(2021•efg᪥ijk)lmnopqḄstᡃvḄRᜧxyᙳ{ᑮW
|Ḅ}~,ᐸ0Rxy0Ḅᔜy☢ḼᜧḄ⃩ᦈ.20207ᨴvsᡃv1vᑁPᦪ᝞ᡠ'1,vᑁRᜧxy2,Rxy0ᔜy.2ᐵ;ᡃv1PᦪḄḄ()16⚓ᐳ29⚓

162A.ᙠRxy0“ᢇs£¤¥y”^“§¨y”Ḅtx©ª«£W“ᐸ¬®y”Ḅtx©ªa[ᢝ°B.±“²³£ᖪ®®y”tx©ª,15000µᐗᑣ“¸ᙢxy”tx©ª,40000µᐗC.±“§¨y”tx©ª,42000µᐗᑣRxytx©ª,262500µᐗD.±“§¨y”tx©ª,42000µᐗᑣºxytx©ª,45000µᐗூὃD௃⚣᳛ᑖ¾¿ÀᓫḄᔠqÂᳮ.ூÃ⚪௃Ä⚪᦮ÆÇÈÉᔠÂᳮ£ÊËÌÍÂᳮ.ூᑖ᪆௃᪷20Rxy0ᔜyᓽᑨ⌱⚗“8┯GCÐÑᔠ10vᑁRᜧxyÄÒ⌱⚗஺┯G.ூ$%௃$'=;⌱⚗1ᙠRxy0“ᢇs£¤¥y”^“§¨y”Ḅtx©ª«£ᡠᓰ,16%+16%=32%,“ᐸ¬®y”Ḅtx©ªᓰ32%,ᡠ2“ᢇs£¤¥y”^“§¨y”Ḅtx©ª«£W“ᐸ¬®y”Ḅtx©ªa[ᢝ°ᦑ⌱⚗4=;⌱⚗8'±“²³£ᖪ®®y”tx©ª,15000µᐗÔ,“²³£ᖪ®®17⚓ᐳ29⚓

17y”tx©ªᓰ6%,ᡠ2Rxytx©ª,×ᚆÙ=250000µᐗ6%ÛÔ,“¸ᙢxy”tx©ªᓰ13%,ᡠ2“¸ᙢxy”tx©ª,13%X250000=32500µᐗᦑ⌱⚗8┯G=;⌱⚗C'±“§¨y”tx©ª,42000µᐗÔ,“§¨y”tx©ªᓰ16%,ᡠ2Rxytx©ª,Ýᓛ1=262500µᐗᦑ⌱⚗C16%=;⌱⚗஺'±“§¨y”tx©ª,42000µᐗÔ,“§¨y”tx©ªᓰ16%,ᡠ2Rxytx©ª,ßà•=262500µᐗÛÔ,Rxytx©ªᓰ57%,16%ºxytx©ªᓰ6%,ᡠ2ºxytx©ª,átâX6%Q27631µᐗᡠ2⌱57%⚗஺┯Gᦑ⌱'AC.ூDZ௃[⚪ä⌕ὃ]ÀᓫḄᔠqÂᳮὃ]Ḅæᵨὃ]ètḄᦪᑖ᪆£ᦪᜐᳮêaẠ⚪.R.ëì⚪íᐳ4î⚪ï13.í2020ð•ñògóôïºᐗõö÷ø2?-3xôW0Ḅ$û,[ý11.2ூὃD௃ºᐗõö÷øþᐸæᵨ.ூÃ⚪௃ÿᓄ
Ḅᵨᦪ.ூᑖ᪆௃ᓄ2x-1Q-1<0,%&'ᓽ).ூ*௃+2f-3x+lW0)ᓄ2x-lx-1W0,12WxWl,2ᡠ4Ḅ'[261].2ᦑ*ᫀ+1].ூ:;௃<⚪ὃ?@AᐗCDḄEᵨF⚪6GHẠ⚪.14.2020K•MNOPQRSTᦪ/x=sin2x,ᑣ[TᦪḄ\]^_`x'+k€ZAூὃ:௃efTᦪḄ᜻Ꮤឋj\]ឋ.ூk⚪௃lᓄ
mᔠopTᦪḄqrEឋsᦪtᑖ᪆.ூᑖ᪆௃ᵫ⚪vᑭᵨefTᦪḄqrḄ\]ឋ61&xy.z18⚓ᐳ29⚓

18ூ*௃+\}Tᦪ/x=sin2x,~2¥=1+3-6k€Z,%1x=K2L+26ᦑ[TᦪḄ\]^_`x=K2L+26z,2424ᦑ*ᫀ+X=©L+26kez.24ூ:;௃<⚪⌕ὃ?efTᦪḄqrḄ\]ឋ6}HẠ⚪.15.2020K•ᓭPQᎷ⌕ὃḄ500᝘ḄoGᔲ᪗6¡800᝘£¤¥60§¨©ª,ᑭᵨ«¬ᦪ⊤¤¥᪵<¯,ᐜ±800᝘ᢥ000,001,-1799§¨µ¶6᝞¸¡«¬ᦪ⊤z7¨z8ᑡḄᦪº»ᔣ½¾6¿ÀÁDᑏ&ᨬᐜ©ÄḄ3᝘Ḅµ¶331ஹ572ஹ455.Æ☢᤺¥@«¬ᦪ⊤z7¨Éz9¨844217533157245506887704744767217633502583921206766301637859169556671998105071751286735807443952387933211234297864560782524207443815510013429966027954ூὃ:௃Êᓫ«¬¤᪵.ூk⚪௃\
ᭆ᳛EÎÏᦪtᑖ᪆.ூᑖ᪆௃ᙠᡠÑḄ«¬ᦪ⊤£Òᑮz7¨z8ᑡḄᦪº»ᔣ½¾6Ò&ÔᔠᩩÖḄᦪtᓽ).ூ*௃+ᑭᵨ«¬ᦪ⊤¤¥G᪵<ᦪt6Òᑮz7¨z8ᑡḄᦪº»ᔣ½¾6zA×ÔᔠᩩÖḄG331,zC×ᦪG572,zo×ᦪG455.ᦑ*ᫀ+331,572,455.ூ:;௃<⚪ὃ?@«¬ᦪ⊤ḄᵨF⚪6ᙠ«¬ᦪ⊤£Ø×ᦪ&ᙠØ×ÙÚḄᭆ᳛GA᪵Ḅ6GHẠ⚪.16.2020K•ÛÜO᪥ÞPQ᝞q6ᙠßà1Ḅe_á/8CD-ä8C1D1£6:E,FᑖæGß5CஹḄ£:6PGè☢BCCiBiᑁA:ëìí6îäP஻ð☢:Ḅñòàó—õ_.÷øäùEð☢8C081ᡠᡂpḄeᑗüḄ¥üþG12,2z19⚓ᐳ29⚓

19ூὃ:௃÷øEð☢ᡠᡂḄp.ூk⚪௃ᦪÿᔠᦪᔠᐵᳮᦪ.ூᑖ᪆௃ᑖ88i!81C1Ḅ%&"!N,()*/!AiN,MN,BC\,NE,,-MN஻1☢NiN஻1☢AEF,7ᑮ1☢*MN஻1☢ZEF,ᵫ;7&PḄ=>?@7MN,AB-&Ḅ=>ḄCDEF@*P1☢ᡠᡂIḄJᑗLḄLN.ூOP௃O᝞R!ᑖ8S!81clḄ%&N,()*V!A\N,MN,BCi,NE,,:M,N,E,Wᑖ?ᐸᡠᙠḄ%&!).MN//BC\,EF//BC\,).MN//EF,1☢AE[!EFu;☢4EF,.MN஻1☢/EF,')AA\//NE,44i=NE,...^_/EN/i`1a^_!).A\N//AE,")A\NCD`AW=J_BC=p.2r2•.,&WḄ=>?@kMN,48i_L1☢BCC/i,F@A\P1☢BCCBᡠᡂIḄJᑗL`4BiAPᑮBiḄvw!x஺?MNḄ%&!ᑣMO=NO=p!2*ᔣ=1,Wᑮ8iḄḄᨬᜧL`M8I=N8I=!2F@*P1☢BCCBᡠᡂIḄJᑗLḄᨬ*L`ᓝ=2,~2IBiḄḄᨬ*L`8iO=J2_2=,20⚓ᐳ29⚓

20F@11P1☢BCCiBiᡠᡂIḄJᑗLḄᨬᜧL`4=2&.V2"T...F@*W1☢BCgBiᡠᡂIḄJᑗLḄLN?[2,2].ᦑPᫀ`p[2,2&].2ூ&௃⚪ὃ%&Ḅ=>EF@1☢ᡠᡂḄI!ὃBO!?%᫏⚪.^.OP⚪ᐳ6*⚪17.2020•¡¢£¤¥¦§ᔠ/={*2-4x+3W0},B=,¯“XCN”?“³8”Ḅj⌕µᐙᑖᩩ¸!¹-᝞º»¼ᩩ¸জ{x|a-KW4}ঝ{x|a«a+2}ঞJ^+3}ÅÆ%Ç⌱h¼⊡ᐙᑮÊ@n.¯Ë⚪%Ḅ஺Ìᙠ!B-஺ḄLN;ூὃ&௃ᐙᑖᩩ¸ஹj⌕ᩩ¸ஹᐙ⌕ᩩ¸.ூÏ⚪௃ÐᓄÒÓÐᓄÔ᧕ᳮ.ூᑖ᪆௃B-§ᔠ/,ᑭᵨᐙᑖᩩ¸j⌕ᩩ¸ḄØÙ!ᑖᑨÛ-Ü»¼⌱⚗%ḄN8Ḅᐵ!ᯠßᑭᵨ§ᔠàá§ḄØÙᑡ-µãä!BOᓽæ.ூOP௃O¯çজè`4={x|f-4x+3W0}=[l,3],B={x\a-¯“x€/”?“x€B”Ḅj⌕µᐙᑖᩩ¸!ᑣᨵì4ᡠíî-1>1,O72!W3,1a<3ᦑ஺ḄLN`[2,3]¯çঝè`ð=ñ/-᪗+3ó0}=[1,3],8={X|VIWXW4+3},¯“XE4”?“XWB”Ḅj⌕µᐙᑖᩩ¸!21⚓ᐳ29⚓

21ᑣᨵ8,/,ᡠífa>l,O7஺=1,;ô4=8,ᦑõO!ᦑµÌᙠöᦪ஺la+2<3¯çঞè`“=3ø-4ù+3<0}=[1,3],8={x|aWxWa+2},¯“ᙠ”?“x€B”Ḅj⌕µᐙᑖᩩ¸!ᑣᨵ8$/,ᡠíî,µãäûõO!ᦑµÌᙠöᦪa.1ü+3<3ூ&௃⚪ὃᐙᑖᩩ¸j⌕ᩩ¸Ḅýᵨஹ§ᔠàá§ᐵḄýᵨ!O⚪Ḅᐵþ?Üᐙᑖᩩ¸j⌕ᩩ¸Ðᓄ`§ᔠvḄᐵ.18.(2020•)Ḅᶭ◤⌕!"#Ḅ$%.'%Ḅ()*ᡂ,-1800ᐗ2"#xᓟ5◤6ᢗᐭᡂ,-C(x).<(#=>?40ᓟ5AC(x)=A2+10X(0ᐗ).<(#=>FG40ᓟ5AC(x)X=31x+⎀.-420(0ᐗ).2ᓟ5ᖪ%LM-300ᐗᙠOPQR!"#Ḅ%xSᐰULV.(1)ᑏX(ᑭZA(X)(0ᐗ)ᐵG(#=X(ᓟ5)Ḅ\ᦪ^᪆`a(2)R!b*c'%ᡠeᑭZḄ10%ᵨᩭᣎj■Oᱥm.<(#=-noᓟ5Aᙠpq%Ḅ"#ᡠeᑭZᨬᜧt'Auᣎjno0ᐗḄᱥmvtூὃy௃᪷|}▭⚪⌱\ᦪ.ூ⚪௃ᑖaᔠa\ᦪḄឋᵨaᦪ.ூᑖ᪆௃(1)L(x)=30x-C(x)-180,ᐭC(x)Ḅ^᪆`ᓽua(2)ᑖ040x+2xX(2)জ<0

22ºgx=x+^WᑣX¼4OAg¾x¿ᙠÀ40,+8¿Áᓫ¥⌴Ãxg¾X¿Å"=g¾40¿=60,).L¾x¿=-60+240=180,maxÁᡠÊL¾x¿"5=1800ᐗ'AuÌᣎjḄᱥmv-180X10%=180ᐗᦑ<("#40ᓟ5AᑭZᨬᜧ'Auᣎj180ᐗᱥmv.ூyÎ௃,⚪ὃÏ\ᦪḄ}▭ᵨÐ⌕ÑᑖÒ\ᦪḄᵨஹÔÕ\ᦪ¢£\ᦪḄÖ×ØឋὃÏ"ḄÙÚÛᳮSÝSÝÞG᫏⚪.19.¾2020•ᓭâ¿ᨵäå-1,2,3ḄæçFᳫäå-1,2,3,4ḄéêëìcæêFᳫ⌲êîïḄðᐭéêëìஹ2çᳫḄðñòóôõ.¾1¿æçFᳫាᙠêëìḄᭆ᳛a¾2¿æçFᳫᙠæê>ùḄëìúûoᨵêᳫḄäåØᡠᙠëìäå>ùḄᭆ᳛.ூὃy௃òóôõü5òóôõü5Ḅᭆ᳛ý`.ூ⚪௃þÿ
ᭆ᳛ᦪ.ூᑖ᪆௃1“ᳫាᙠ!”#$%&ᑭᵨ*ᐺᭆ,-./ᳫាᙠ!Ḅᭆ᳛.2“ាᨵᳫḄ343456”#$%8,“ᳫḄ34Ḅ3456”#$%C,ᑣ“:;ᨵᳫḄ34ᡠᙠ3456”#$%=B+C.>ᵫBCABCᵫD-./ᳫᙠ56ḄCE:;ᨵᳫḄ34ᡠᙠ3456Ḅᭆ᳛.ூFG௃F=1“ᳫាᙠ!”#$%2“ាᨵᳫḄ343456”#$%3,“ᳫḄ34Ḅ3456”#$%C,ᑣ“:;ᨵᳫḄ34ᡠᙠ3456”#$%=B+C.6(1+2)X311PB='---=—,8CAB,364U23⚓ᐳ29⚓

23ᦑPB+C=PB+PCAZ[•646416ூ]^௃_⚪ὃbᭆ᳛Ḅ.Cὃb*ᐺᭆ,ஹAB$%ᭆ᳛defghẠjkCὃb.F-lCmhẠ⚪.20.2020o•ᓭqrs“tuᩩwxyᑭCz{|}~”CḼ2021{Ḅ᦬Cᡃ1980ᩭClᨬᜧḄ}ᡠzzᦋ☩:2019ᩭᢵᜧᵨ.z{|⌕ᑁᒹ¢=1z£¤]#5000ᐗ2§ᨴ©ªzᡠ«¬z=ᦈᐭ-z£¤]-¯⚗▬dᡷ◀3¯⚗▬dᡷ◀ᒹ¢´µஹ᝕ᦟ¸¹º»ὁ}g.{½z|¾¿§ᨴ©ªzᡠ«¬zÀÁᐸéḄz᳛⊤᝞⊤:½zz᳛⊤z£¤]3500ᐗ{zz᳛⊤z£¤]5000ᐗÇzÈᦪᔁᨴ©ªzᡠz᳛ʧᨴ©ªzᡠz᳛Ê«¬z=ᦈ«¬z=ᦈᐭz£¤]ᐭz£¤]-¯⚗▬dᡷ◀15ËÌ1500ᐗÍ35ËÌ3000ᐗÍ3ᑖᑖ2ËÌ1500ᐗ:10ËÌ3000ᐗ:104500ᐗÍᑖ12000ᐗÍᑖ3ËÌ4500ᐗ:20ËÌ12000ᐗ:209000ᐗḄÍᑖ25000ᐗḄÍᑖ4ËÌ9000ᐗ:25ËÌ25000ᐗ:2535000ᐗḄÍᑖ35000ᐗḄÍᑖ5ËÌ35000ᐗ:30ËÌ35000ᐗ:3055000ᐗÍᑖ55000ᐗÍᑖ….ÏÐÑÒÓ1000Ô6ᦈᐭÕÈḄ/TØÙὅḄÛᐵuᧇCÞᑖ᪆C⚜àáâ2021Ḅ}ᙳᨴᦈᐭ24000ᐗ.uᧇä⊤åCáâᙳæᔠ´µ¯⚗ᡷ◀6èCáâ§U24⚓ᐳ29⚓

24}:éᨵæᔠ᝕ᦟ¸ᡷ◀ḄêCëEáâì!í5æᔠ᝕ᦟ¸ᡷ◀î5æᔠº»ὁ}ᡷ◀ஹæᔠ᝕ᦟ¸ᡷ◀ï5æᔠº»ὁ}ᡷ◀ஹæᔠº»ὁ}ᡷ◀ï5æᔠ᝕ᦟ¸ᡷ◀ஹᓽæᔠ᝕ᦟ¸ᡷ◀îæᔠº»ὁ}ᡷ◀Ḅ}ᦪìñm2=1=1=1;D᜜Cáâᙳ5æᔠᐸá¯⚗▬dᡷ◀.{z|¾¿ôÓḄ¯⚗▬dᡷ◀᪗ö#=´µ1000ᐗ/ᨴC᝕ᦟ¸§ê1000ᐗ/ᨴCº»ὁ}2000ᐗ/ᨴg.ᎷôÓôᦈᐭÕÈḄ/7ØÙὅùúûü¯⚗▬dᡷ◀Cý⚜àḄôÓôᦈᐭÕÈḄ/7ØÙὅḄ}ᙳᨴᦈᐭþ#ᐸ}ᨴᦈᐭ.᪷᪵Ḅ᝞⚪1ᦈᐭḄᔉὅ2021"ᨴ$%&Ḅᡠᨵ)*+ᐸᭆ᳛.2᪷12%&3ᫀ2021"1ᨴ56789:%ᨴᦈᐭḄ஻ὅᔜᨴ:$=Ḅ%&>?@A82019"ḄᨴᦈᐭCூὃF௃ᭆ᳛ḄHᵨ.ூJ⚪௃KᦪMNOPMᭆ᳛QRMSTUᳮMᦪWXYMᦪWZ[.ூᑖ᪆௃1᪷⚪^_`Ḅabᑖcdefᢥ᯿ᩩj^Ḅ[klᑖm`ᨴ$%&ᓽ)M2[odpqḄrᨴH$%&stuᯠwᑡ`yzlᓽ){ᑮ}ᫀ.ூ}௃1ᵫ⚪yᔠ᝕ᦟᡷ◀yᔠὁᡷ◀ஹᔠ᝕ᦟᡷ◀yᔠὁᡷ◀ஹᔠὁᡷ◀yᔠ᝕ᦟᡷ◀ஹᓽᔠ᝕ᦟᡷ◀ᔠὁᡷ◀Ḅᦪ>2111,জyᔠ᝕ᦟᡷ◀yᔠὁᡷ◀ḄrᨴH&ᡠ{s24000-5000-1000=18000,ᨴ$%&X=3000X0.3+9000X0.1+6000X0.2=2190,ᐸᭆ᳛2,5ঝᔠ᝕ᦟᡷ◀yᔠὁᡷ◀ḄrᨴH&ᡠ{s24000-5000-1000-1000=17000,ᨴ$%&X=3000X0.03+9000X0.1+5000X0.2=1990,ᐸᭆ᳛¥5ঞᔠὁᡷ◀yᔠ᝕ᦟᡷ◀ḄrᨴH&ᡠ{s24000-5000-1000-2000=16000,ᨴ$%&X=3000X0.03+9000X0.1+4000X0.2=1790,ᐸᭆ᳛L5¨25⚓ᐳ29⚓

25টᔠ᝕ᦟᡷ◀ᔠὁᡷ◀ḄrᨴH&ᡠ{s24000-5000-1000-1000-2000=15000,ᨴ$%&%=3000X0.03+9000X0.1+3000X0.2=1590,ᐸᭆ᳛¥M52ᙠ2pqᦈᐭ▤Ḅ/7ὅrᨴH&ᡠ{s24000-3500=20500,ᦑᨴ$%&1500X0.03+3000X0.1+4500X0.2+11500X0.25=4120,ᦑ1pqrᨴ:$%&4120-1950=2170,±78x%ᨴᦈᐭ▤Ḅ“ὅᔜᨴ:$=Ḅ%&>?@A82019"Ḅᨴᦈᐭᑣ2170x24000,x€N,{x·12x€N,ᡠ¸7812%ᨴᦈᐭ▤Ḅὅᔜᨴ:$=Ḅ%&>?@A82019"Ḅᨴᦈᐭ.ூF¹௃⚪ὃº»R¼½ḄHᵨ¾+»ᭆ᳛Ḅ⚪ḄᐵÀÁÂḄᳮ⚪ÃÂḄÄÅ⊤Ç^Ḅᦪab.2221.2020È•ÊËÌ᪥ÎÏмÑᙊCḄ3ÔÕ-q=18FQZ,0ÙÚÛ423QÑᙊ=Ü4B,PÑᙊḄÞ⚔F.1àPA1PB2|¸â|ã8|Ḅᨬᜧæ.ூὃF௃ÑᙊḄឋèÚÛQÑᙊḄéᔠ.ூJ⚪௃KᦪMéᔠPMᙊ┵ëÛ^ḄᨬæQí⚪MᦪWZ[.ூᑖ᪆௃1±`ÚÛḄ3Ô¸+F42Ḅᙶ᪗ðQÑᙊ3ÔὶòᑭᵨôõNᳮ`ᔣ÷RI,ã8Ḅᦪ÷úᓄüᓽ)M2`FPᑮÚÛ*8Ḅþÿ
ᑭᵨ☢⊤ᡃ8Ḅᐵᑭᵨᦪᨬᜧᓽ.ூ!௃#$1&'(#)*+48Ḅ-./0=2.2,A$xi8&B$%2»J2&<26⚓ᐳ29⚓

26Xὶ@-.ீ92BCx᦮ᳮF#(2+஻a)>2@1ᐳ2=0,X*y,■3y9I421ᡠRஹ[+y2=-----4m2-'yiy2=-----32?122223(2+m)9(2+m)W/PAPE=Cxi-2,y\)•(X2-2,y2)=X]X2-2(xi+x2)+yi^2+4$XYZ&$my[Z&-22$y+A]-F^IJ?2+4=(1+஻)3v4zx16^y-ym(y+y)-t^-1212=(l+w2)X•+c•X—4:0,9(2+m2)33(2+m2)9ᡠRR_LP8d2
efᑮ*+Ḅhi/d=J3y1+m2AB=yi1+m2'^(y+y)2-4yy=41212ᵫ☢F#|R4||P8|=Ml•♦=m/=2+ᑓ2>2,om$0,qᑣsft_2v+᝞x-2$n-z&2{ᡠR|஻=0}.\PA\,\PB\K,-32,,nax29ᡠRR||P8|Ḅᨬᜧ/~.9ூe௃⚪ὃ*+ᙊḄᐵḄᔠᵨᑮᔣḄᙶ᪗RᣚᐗᨬḄ⚪ὃḄtᳮ᫏⚪.22.2011¡•¢£¤¥&l¦┵P-Z8CDR☢/8C஺©☢Z8CO/ª«¬ᨵ8=1,AP=V2-ZBAD^12O°,EPCஹ.I
'(#47_1☢8£஺dII
®☢¯E-AB-CḄ°☢¯Ḅ±.<27⚓ᐳ29⚓

27Dூὃe௃*+°☢ᚖ*d®☢¯Ḅ°☢¯.ூ³⚪௃´⚪d'(⚪.ூᑖ᪆௃$/&W/ª«Ḅ¸¯+¹ºᚖ*ᡠRoᵫ»%7Ḅ+FᑮEO//PA,¼ᔠ/☢N8C஺ᡠREO_L☢Z8C஺½¾4C_LE0.ᨬ¿᪷Á*+°☢ᚖ*ḄᑨÃÃᳮFᑮ/C,☢8EZ
d$//&R//Äe4Dஹ4Pᡠᙠ*+ᑖÆ/yÇஹzÇÈ@᝞Éᡠᙶ᪗ᑣFᑮ/ஹBஹCஹEᔜeḄᙶ᪗½¾FᑮᔣABஹACஹAEḄᙶ᪗ᯠ¿ᑭᵨᚖ*ᔣᦪ/ÌḄ-ᑖÆ°☢N8Et°☢Z8CḄÍÎᔣ¼ᔠÏÐᔣḄᜳ¯Ò´ÓÔḄᜳ¯Ḅ±.ᨬ¿᪷Á⚪Õ®☢¯E-N8-CÖ┦®☢¯Fᑮ®☢¯E--C°☢¯Ḅ±/±ØÎᔣᜳ¯±ḄÙ¸.ூ!௃#$1&)஺/©☢Z8COḄÚÛÜE0,#©☢/ª«/஺ᜟ&Eஹ0ᑖÆÖPCஹÞḄeJ.EO//PAßdà_1_☢/8஺஺).EOV^ABCD')ACa.^ABCD,).AC±EOO,)BDஹE0Ö°☢BEDᑁḄØᩩºã*+/7_1_☢BED6ᑖ&II
R//ÄeADஹ/Pᡠᙠ*+ᑖÆ/yÇஹzÇÈ@᝞Éᡠᙶ᪗ᑣFA$0,0,0&,B$äᔁ,0&,C$æ0&,Eç,è,é&••ê=ä3O
,᪗=çëé&,AC=-y->஺&*ᑖ&<28⚓ᐳ29⚓

28)ni=xi,y[,Z[
Ö°☢4BEÍÎᔣ.^•+y],$ì&+zjO=O'yi=«xiri],AB=x]ᵫ,,F1R®1.'Q"ri],AE=x]í+yjW+zi•h°Zi--TxiᡠRîxi=i,y[=«,Z]=i^F\=$1,a.___.W/RI_L°☢N8C,ᡠRᔣPAᓽ/°☢Z8CḄÍÎᔣ)PA=n2=O,0,SK10ᑖ&.>_ñ©ᙶV33<..cosஹnn,/τ1=f~=τ-------=~~~♦Jg1J1+3+1••ò᪷Á⚪Õó#®☢¯E-/B-CÖ┦®☢¯ᐸ±|cos<஻i“2>1=ᗗ®☢¯E-/B-CḄ°☢¯Ḅ±/õ.$12ᑖ&11ூe௃⚪ö©☢/ª«Íᩩ÷¦ᚖ*©☢Ḅl¦┵'(+☢ᚖ*
¬®☢¯ᡠᡂ¯Ḅ±[Ḽúὃ+☢ᚖ*ḄᑨÃឋütᵨÏÐᔣ°☢ÐḄᜳ¯Ḅóýe᫏⚪.<29⚓ᐳ29⚓