数学重必刷题：数列选填含详解

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4+\2s2019/3920191E.=1010-//,ᑣ--+Ḅᨬp&()20192019A஻A.272B.4C.V2019D.27201916.ᦪᑡE4FRSÜ=2,4=6,஺,,+2-24+1+%=2,\⊤´þḄÿ2?13?120192"ᨬᜧ᦮ᦪ(᝞[1.6]=1,[—1.6]=—2)ᑣ+:+L+-----=()_4|_%La2018_A.2018B.2019C.2020D.202117.)*ᦪᑡ,%-./=2,஻(a஻+]—a஻)=a஻+l,"£N*,6789:Ḅa£[—2,2],rzwN"<=>?ᒹA2B+R-1ឤᡂFᑣGᦪtḄHIKL()A.(-co,-2]D[1,+QO)B.(-00,-2]஺[2,+00)C.(-00,-1]D[2,+00)D.[-2,2]/\18.ᦪᑡ,a“STU«„,=2sin[-1a+2n,n&N*,ᑣᦪᑡ,a“-Ḅ\60⚗^L+n()A.I860B.5100C.3720D.930

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15ঢ4=7,ᑣ஽=10%=5%=8%=4,…¼½]_bC¾¿Ḅ஻22)஻eN*4<%&½P6Ç8¸¹ᕜ¯ᦪᑡণ4=8,ᑣ஺2=4,%=2&/=1%=4,,,,,¼½]_bC¾¿Ḅ஻É2)neN\½P6Ç8¸¹ᕜ¯ᦪᑡ.Ê☢²³NÌ29)qeN*Pᦪᑡ68¸¹ᕜ¯ᦪᑡ.(1)NÍ€(23,24])qeN*PᵫᑡÏÐbᦪᑡ6C8¸¹ᕜ¯ᦪᑡফᎷuN4e(2¦2"[(k»3,ZeN*))4eN*Pᦪᑡ6Ó¸¹ᕜ¯ᦪᑡÔÕN4e(2"i,2"2],N3,ZeN*)P.O<Ꮤᦪᑣ&=Ö«2”,2ᡭᑣᦪᑡ6%8Ø¢⚗ÙÚ¸¹ᕜ¯ᦪᑡØÛbᦪᑡ4¸¹ᕜ¯ᦪᑡ«,<᜻ᦪᑣ=4+3e(2ᓺ+3,2A23]c(2ni,])Ꮤᦪ+ᵫÜbᦪᑡ4Ø¢⚗ÙÚ¸¹ᕜ¯ᦪᑡÝÛbᦪᑡ4¸¹ᕜ¯ᦪᑡ.ÞÜᡠàN6É9)qeN*Pᦪᑡ6%8¸¹ᕜ¯ᦪᑡ.á½68ᕜ¯ᦪᑡᑣªḄ¬âᔠ1,2,3,4,6.ᦑ⌱¦B.ூäå௃æ⚪f⚪Ḅᐵé¹ᢕë“ᦪᑡ6«„8ᕜ¯ᦪᑡ”Ýì_íCDqḄ¬î¬ᑡÏмïᦪðñòÐÝì¨|CDó]ô⚪ᡃö✌ᐜùúûô⚪Ḅæüᯠ±᪷þᦪᑡḄÿឋᦪᑡ⚪ᵨḄᓽ.3.Dூᑖ᪆௃2a11111rllஹ᎔ᦪ——=+!"#ᑭᵨ᪀⌼ᦪᑡ-----1=-1,q+1஺"ᵨ2a,,212gJ)ᫀ+3⚓"-55⚓

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3ᦪᑡ"ᦑB┯_;PB,1,1G72"T2"-'+1-1,1PC,a஺="an=----------z.2஻T_|__L+1z+1z+122Qfுo,•Hhi1"ᓽ/i௃"ᡠ/VlP1"ᦑc┯_;2-2,1~|_2"_2"-1+1_]τ1PD,a஺=2"an2-2,,-,+1-2-2"-1-2M-1-+2"-1Q--->0,1+ߟ—>1,GPa>1,n2"-12"-11111(1V-1m,2"—122"ஹ*,•——7—_i,;/.1+------<1+—r=1+—"ᓽ2Z,-12஻T2“12”T(2)zi-1,ᡠ1

17ᦑ⌱qD.ூtu௃tuq;ᦪᑡ9⚗6:ᵨḄqv1xᵫ஺“yS”Ḅᐵ|;9⚗6:}v2x~}v3x~}v4xᑮᦪ"᪀⌼ᦪᑡ.4.Dூᑖ᪆௃᪷8ᦪᑡ87ᦪᑡḄᐵឋ"ᔠᩩ"ᑖ᪆ᑨ@ᓽ.ூ௃q3S={q,,,…,3}ᐹᨵឋP,ᡠᡈ%¡ᨵ¢£PS&aiᵫPa”,ᦑ“¦S,§¨l=%eS,ᦑq=l}3l=q<%<…<,"ᡠ%ᦑ"ᵫSᐹᨵឋP./eSvZ=l,2,3Kஹ஻x"%m3"<@

18ᡠa5a6>a2a6=%"ᦑa5a6´s"ᵫSᐹᨵឋP."eS,%ᵫ%=a2a6=஺3a5=a}"¶=ᙠS"¸1<£<4"ᡠº=%"a2»¼a7_a6_a5_«4_«3_«2,ᡠq~----------n«"2a%a4a3a2a\bᓽq,%,,“4,a5M6,%2✌⚗31.673஺2Ḅ87ᦪᑡ.ᦑ⌱qD.ூtu௃⚪ὃÂÃᑭᵨᩩ87ᦪᑡḄᑨ@"᪷ᜧlCVÅÆᑨ@2ᔲÈᔠᩩ2⚪ᐵÉ"◤⌕ÌÍḄÎÏÐÑUÒÓÔUÒ"£PÕ⚪.5.Cூᑖ᪆௃P4ᵫᦪᑡW஺Ò3ᦪᦪᑡ"ᑣ%=sin('a)=a,Ù஺ḄÚ}PBqᵫÜᦪ/(x)=sinC|x)-x"xe(O,l),;àᦪ"ᑨ@ᓫâឋ᩽Ú"ᓽᑨ@}P஺qᵫ/(K)=sin(1.v)-x,ᑨ@஻x)Ḅ᜻Ꮤឋᓫâឋ"ᔠBèÜᦪḄᓫâឋ"ᦪᑡW.Xé2ᓫâᦪᑡ"ᓽᑨ@.ூ௃P4êᦪᑡW,X3ᦪᑡ"ᑣ4=5ë|^)=஺"஺=0ᡈ஺=±1"ᦑ4┯_}PBqêae(Q),^-ae(0,~-),a=sin(ga)"ñÜᦪ/(%)=s'n(~x)-x,x&(0,1),2)ᫀ+6⚓"-55⚓

191஺_22/(x)=-cos(-x)-l,ᵫ!ᐝ£(0,ᜧ)"᩽Útõ¸3/=—arccos—,᩽Út22227t7C22---arccos—>0"7C71ᵫ/(0)=/প=0,%>4,.71.71ᑣa—a=sin(—a)-sin(—%)>0,ᓽᨵ%>a.nnn3222TTTTᵫPa“e(0,l),-ae(0,y),ᵫBèÜᦪᓫâឋு4"(iᡠᦪᑡW஻“X2ᓫâ⌴úÜᦪ"ᦑB┯_;P஺qêaw(0,1),¦W4XḄ9⚗%,%ஹ"ᡂ"…"%(1<þ<ᑘ<…<஻1>)᪀ᡂᦪᑡ4Ḅᦪᑡ.஻=12,…9,.ᓫ⌴ᦪᑡᵫ/(x)=si#x)-x,%&/(-X)=-fix),f(x))᜻+ᦪ,00>x>1./(x)<0,-l0.0ᵨ23+ᦪḄᓫឋ%&0<“<1ᡈa<-|.ᦪᑡ”“ᓫ⌴-1<஺<0ᡈ“>1.ᦪᑡ;ᓫ⌴<.ᡠ>ᦪᑡ4.?ᓫᦪᑡᦑ஺┯Bᦑ⌱C.ூFG௃I⚪ὃLᦪᑡḄᓫឋḄᑨNO0ᵨὃL23+ᦪḄᓫឋOPᵨOᑖRSTḄᦪUVWXYZ⚪.6.Aூᑖ᪆௃᪷]^_ᦪᑡḄ`_a+ᦪb᪆cᵫ^_ᦪᑡdO`ceᐭ%&1010(4+0202())+(854+COS%+…+8502020)=1010%ᵫm3Ono_n`cḄPᵨ,pᫀr7⚓t55⚓

20uv%&COSa,+COS஺202[_j=2cos"I+2020~^0^.,+2020=S,xcoseᐭᓄ᪀⌼+ᦪ2019d2017J2015Jdg()=2020%-2cos%-COS------1-COS------FCOS------F---COS—d&g'(x)2222ᑨN%g(x))ᓫ⌴+ᦪ%&஻2=5,“1+&2)♦=",ᵫ^_ᦪᑡn⚗O`cᓽ%db.ூb௃^_ᦪᑡ“Ḅ`_)2020,஺=2020.+ᦪ/(x)=x-cosx,/(4)+/(4)+…+/(“2020)=1°1°ᑣ(4+a,H---F4020)+(COS4+COSCZH---FCOSGo)=1°1°2ᓽl()10(q+«202O)+(COS6ZI+COS«H---Fcosiz^ohlOlO©জ2«1Ki<1010,/eZ,ᵫm3ḄOno_n`cᓄ%&cosa,+cos«2021-Z2^+(2021-2/)J(2021-21”2q+(2021-2i)d+(2021-27”=cos+COS22222a.+(2021-2z)J(2021-2z)J=2cos——----------xcos----------222cos<+“20217x(2023)1cos22=2cos"1+"2020*(2°2>,cos22°"l+2°20=஻,±জᓄ%&2020m-[(«,+/020)+(஺2+஺2019)…(010+4ou)]=10102019J2017c/20154dᓽ2020m-2cosm-COS------FCOS-------FCOS----+--•••COS——=1010%ঝ2222pᫀr8⚓t55⚓

21·/\cF201912017J2015ddg(x)=2020x-2cosx-cos-------+cos---------i-cos--------+…cos—,v'L2222.ᵫd=2020.%&/\c.¹2019d2017J2015Jd~\ºg'(x)=2020+2sinx-cos--------+cos---------i-cos--------+…cos—>2020-2020=0v'L2222_,ᡠ>g(x)ᙠR¼ᓫ⌴8½)=0,¾ᵫঝ%¿g(஻?)=0,I2Jᡠ>À=Áᓽ஺1+஺2020=%,2221"02020x(^+6/2020)>O2020=-----------------------=101>ᦑ⌱ÂA.ூFG௃I⚪ὃLÃᦪᑡo+ᦪḄÄᔠPᵨ^_ᦪᑡdO`cḄPᵨm3On`co_n`cḄÄᔠPᵨᣚᐗÈdÉḄPᵨᵫÊᦪᑨN+ᦪᓫឋḄPᵨÄᔠឋËXYZ⚪.7.Cூᑖ᪆௃«aᑖ᜻ᦪOᏔᦪÍÎÏÐST᪷]4=஻ᔲᨵb%ᑨNA⌱⚗Ḅ2B«஺ᑖ᜻ᦪOᏔᦪÓᔠ⌴Ô`cÕÍÎÏÐÖᦪᑡ%Ḅᓫឋ×ÔᳮᑨNB⌱⚗Ḅ2BᑭᵨᦪUÚÛÈÜᦪᑡ%ᨵÝ%ᑨNC⌱⚗Ḅ2Bᵫᑡ«ᨵÝ%ᑨND⌱⚗Ḅ2B.Äᔠ%&ÜÓT.ூb௃«YA,Þ஺)Ꮤᦪ.a=—fl]=a,a=0ß⚪à2-2Þ஺)᜻ᦪ.&=2019+஺=aábᦑA┯«YB,Þ஻)Ꮤᦪ4=g%%>஺2,Þ%)ᓫᦪᑡᓽ)⌴<ᦪᑡâ+i=ga,¹஺”%>)᜻ᦪã.஺“+i=2019+a“&“ßäå⌴<ᦪᑡpᫀr9⚓t55⚓

22Þa)᜻ᦪ4=2019+6a>a,Þ4)ᓫᦪᑡᓽ)⌴ᦪᑡ,2]q=J4஺2>%஺“ßäå⌴ᦪᑡᦑB┯Þ))Ꮤᦪæ«Yc,a“+i=j2,2019+%,Þâ)᜻ᦪÂßçèᐸêIëìíîḄ2᦮ᦪð°f=max42019,জÞq=a)᜻ᦪ,஻=1ஹ2.4ீᡂó4=஺+2019)Ꮤᦪ444+2019K2rᡂóᎷ,஻=õ.Þö᜻ᦪᑣ;7,ÞâᏔᦪᑣâ42f,÷ø஻=õ+1.Þ%᜻ᦪᑣâM=4+2019Ꮤᦪa<21k+1ÞùᏔᦪᑣ)+1=úீ·Þã.4+i᜻ᦪᑣäå4+iÞûêᏔᦪᑣäåᓽ஻=ᦇ+1.ÓTᡂóঝÞ4=a)Ꮤᦪ,஻=1ஹ2.4<ý<ᡂóþ<2rᡂó.Ꮇ,஻=%.Þ%᜻ᦪᑣâ<ÿ
Ꮤᦪᑣ42/,஻=ᦇ+1%᜻ᦪᑣ%+,+2019Ꮤᦪa<2tk+lᏔᦪᑣ4+i᜻ᦪᑣ+1Ꮤᦪᑣ4+i10⚓@55⚓

23ᑣ5a.48,-ᔠEa,J஻eNIᨵJKLMᐗOPQEqIᨵ"STUᦑ9VᔠᦑD┯.ᦑ⌱YC.ூ\]௃_⚪ὃbᦪᑡ⌴efgḄ
ᵨ!ᔠὃbiᦪᑡḄᓫkឋm:ᐵopὃbeᳮrst2u⚪.8.Bூᑖ᪆௃yzS,,|ᐭ=Sa+2ᦪᑡE5IḄ⌴efgᑭᵨ⌴efgᑨᦪᑡ:b„FḄឋ|cV*=9ᑭᵨ_9mg‘ᒹ43-2'ᑭᵨhncஹn1/I—ஹ஻-1„1111100,h-h=bW+2¿+1ு()4Á>%>0,n+]n11b=——--—=3-272=Âᑣ9=G3“+”2ᕒ35ÇÈ5a2b=42mᡂ,nᑣ0<"£3-2V^,0<஺<3-2>/^,…0<——<3—2^2,(n>2),஺2Cn-\ᵨ£y011⚓@55⚓

241111V2+1T/L\20201ᡠ0<—+—+—+•••+——<-——1-3-2V2)<1,4b2%᝞204-,'1111ÐÑnᑣ—+——+—+••-+----=0>s203%20_9mgmÒ2f+Ð15<0,ᙠae[-2,2]"ឤᡂg(a)=xa+j?Ð15,ae[-2,2],^(-2)=X2-2X-15<0-54-------ᓽ£#2⌱⚗D,a”gm4)11(11)——<-----------ᓽ£.an6(æa)n+iூ¶µ௃#2⌱⚗A,=+xe(O,l)ᑣ/'(x)=3f-l,ᡠ“sᙠ3g"ᓫk⌴ᙠ"ᓫk⌴·+"0)=1"=1—ᕡ>0,"1)=1ᡠ஻x)«0,l)<ᫀ>12⚓@55⚓

25ᡠ54wî0,gï7î0ðï<1,ᦑA'ñ#2⌱⚗B,a-a=a^-2a+\=(a-1)(«„2+a-l)n+lnnnn2·+<1,ᡠaj+q-i>o,ᡠäீq·+/(%)="ᓫk⌴,/W%>1—mுõ,ᡠE4I⌴ᦑB'ñ9#2⌱⚗C,g(x)=%3-—X+l,X>09᧕g(x)min=g(ù)=1-ᖐ>0ö÷(%)=3/Ð1,.9.44ᡠa——+1>0,ᡠQJ—+1>ûᓽa^>—anfJn1(11ஹᡠ—>4-------41஺ᔣᡠ11111S஻=--1---F…H-->4—qa2ᦑC'ñ#2⌱⚗D,·+q=2,ᡠa“+]-/=aY-2%+1=(4Y-2”“+1>0ᡠ4+124/z(x)=/-8x+l,x>4,ᑣ᧕஻(x)>஻(4)>0,ᡠ஽஻3-8%+1>0,ᡠ஻4+1>7%ᓽ4+1>7஺஻ᫀ13⚓"55⚓

26ᡠS஻4-••—2a2an2661717—+——+-2626ᦑD┯*ᦑ⌱,Dூ./௃1⚪ὃ4Ḅ6ᦪᑡḄ9ᔠ;⚪<Ḅᐵ>6?ᔠ@ᦪḄAB᪀Dᔠ〉ḄFGHIJK⚪.10.Bூᑖ᪆௃2a,21ஹQRS@T,஺"=1,b=2(n+1),c=n(H+1)+1.ᡠ^-T•ZR[\nn2%-]2nᑭᵨ`⚗bcdSeᓽT<.ூf<௃ᵫ/(x)=ev(x+l)25(x2+2x+l),k(x)=f(x)(X2+4X+3),fi(x)=f\(x)="(N+6x+7),fi(x)=fi.'(x)(N+8x+13),fn+\(x)=fn(x)=ex[x2+2(஻+2)x+(/:+1)(n+2)+1].rs(x)(4t+bnX+Cn),•\a=\,b=2(n+1),c=n(n+1)+1.nnn2-±2c-^2n2n2wZJ2a1112a1111sI_____n________—________<_____n2__—___<________—_________v஻2c-b5n஻+l஻(஻+l)2c-bn2(஻-n-1nlttlnnᫀ14⚓"55⚓

27ᑣS2019=dl+d2+d3+...+d2OI9=1H-----7+--------1------------7223220192,1111HXd--z+•,•H----,22322019244±i.i...o1>_2411241…<1++++()++2019J-144-2019<---®1.6722324245V20181441+4+:.|223220192>i+m+"+...+~1111692222020J-720—®1.6223456120192020...S20I9ḄᨬḄ6.3ᦑ⌱,B.ூ./௃1⚪ὃ4S@ᦪᑡ[\dSeὃ4`⚗bcdὃ4keᓄ,IJK⚪.11.Bூᑖ᪆௃᪷4⌴\GᦪᑡT4W-1,O¡UO,1¡£¤¥<0,q>0ᑖ§¨©ªTqḄ«?ᔠ®T¯°Ḅ⌱⚗.ூf<௃±²S”=S,ᦑqeT,0¡U0,l¡,´5=A!-,ᦑ·¸¹Ḅ஻eN*"ᨵ"ீ&ᓽ3¾1—/¡<¥\-q\-q¿4>0,ᑣᓽq">|·¸¹Ḅ஻eN*ឤᡂÃ22ÄÅ஻>log,qqn<~,ÈÉᦑ4>0FᡂÃÊ¿4<0,ᑣ30-/¡ு1ᓽq"<|·¸¹Ḅ஻wN,ឤᡂÃÅ஻¯᜻ᦪ/¡=4ᦑq<2Ê\/max10ᫀ15⚓"55⚓

28Å஻¯Ꮤᦪ(4")2=dᦑb<[ᓽJ|mal·¸¹¯᦮ᦪ"ðᡂÃ5+1)Å஻2W0ᫀ16⚓"55⚓

29ᡠ3Å/=஺meR,9ñ஻?4—.3ᦑ⌱,Dூ./௃1⚪ó⌕ὃ4GõᦪᑡḄZ⚗öHSeöH÷øᦪḄᓫúឋᑖ§¨©FGHḄឋûIJK⚪.13.Cூᑖ᪆௃TT·(1),ᵫᦪᑡ&üᦪᦪᑡᑣ%=sin(Ea)=a,<þÿ
஺ḄTT(2),ᵫᦪ/(x)=sin(^x)—x,xe(O,l),
ᦪ᩽ᑨᓫ"ឋTT(3),ᵫ/(x)=sin(^x)-x,ᑨ᜻Ꮤឋᓫ"ឋ(ᔠ*+ᦪḄᓫ"ឋᓽ
ᑮ(..ூ12௃ᦪᑡ547894=஺a=sin(ya),n0N*&il+iTT(1)9ᦪᑡEa,,1<=ᦪᦪᑡᑣa=sin(-«)=a,22
஺=0ᡈ±1ᦑ(1)D*E;TTn(2)9஺£(0,1),HdG(0,H),22a=sin(—tz),2TTᵫᦪ/(x)=sin(—x)-x,XG(0,1),7171/r(x)=-cos(-x)-l,717122ᵫHxw(0,—),
᩽PQHR0717171ᵫ/(0)=/(l)=0,
4>4,VᫀX17⚓Z55⚓

30ᑣa-a=sin(—[)-sin(—4)>0,ᓽᨵ]>4•32TTTTᵫ_4e(0,1),-aG(0,-),nᵫ*+ᦪḄᓫ"ឋ
ᑣᦪᑡ547`aᓫ"⌴cᦪᑡᦑ(2)*E(3)9ae(0,l),de5478Ḅ9⚗%,%,%%(1<ᓃ0,%>1t/(%)<0sH1cxe0tf(x)<0u<—1tf(x)>0,vᵨ*+ᦪḄᓫ"ឋ
0<஺<1ᡈa<-1tᦪᑡ5x7ᓫ"⌴cH1<஺<0ᡈtᦪᑡ547ᓫ"⌴y.ᡠ{ᦪᑡ54,,7`aᓫ"ᦪᑡᦑ(3)*Eᦑ⌱}C.ூP௃⚪ὃᦪᑡḄᓫ"ឋḄᑨvᵨὃ*+ᦪḄᓫ"ឋ{ᑖ._⚪.14.Aூᑖ᪆௃ᑭᵨᔣḄ=+A4+4A+…Aid,Ḅᔣᙶ᪗,ᯠᒹḄ⊤¡¢ᯠ£¤¥¦ᓽ.ூ12௃ᵫ⚪§AAA-Ax.i-(k>0)`aᙠªH«PḄ¬Ạª®ᙶ᪗¯[+°ᓄ²ᙶ᪗D°4,……(k>0)`aᙠªH«PḄ¬Ạª®ᙶ᪗y³²ᙶ᪗c´.43µ4,…4A3…(k>0)`aᙠªH«PḄ¬Ạª®VᫀX18⚓Z55⚓

31ᙶ᪗y³²ᙶ᪗¶y³.·=¸+A'+¹º+…Dᡠ{a-a,+a1+a.+•■.=4-2cos60°-1-cos60°+---cos60°--cos60°+——24816,c1,11111=4-2x—1x-i---------------4——+••222232424=3-»+¼+••)b=4+"+"+•♦•=0+2sin60°-lsin60o+0+-sin60o--sin60°+0+--n48ᚖ)8----X—274A/3]ᡠ{⌱A.ூP௃⚪a½⚪¾✌ᐜÁ½ḄÃÄÅᓄᡂᡃÇÈᨵḄÉÊ2Ë.⚪ÃÄὃᔣḄᙶ᪗v¦ÌÍv¦ÎÏᜧ.15.Bூᑖ᪆௃ᐜÒÓÔ1—WÕᓄÖᡂ2s2018+*Ḅ×¢¹ᑖ᜻ᏔDØḄÙÚᵨÊ⚗2019201920195Ḅ,Û´Ḅ019ḄÜᐭÞßH᯿=1010-஻ᓽÒ஻ᵨ2⊤âᩭ,2018VᫀX19⚓Z55⚓

32201912019220191ᨬᓄÖå+H
᪷ç¬Dè¢ᡈéêᦪḄᨬë+7Ḅ/L஻,2(2019-2)ᨬ³a4ூ12௃ᵫ4,+4+1=(-1)"஻2
,஺3+஺4=-3?&+06=15-,஺2017+஽38=-2017,/.S0018=4+a>+…+஺ᑘ8=—(132+5~+…+2017~û
,ᵫ᜻ᦪö÷¢f+32+52+...+(2᝕HIp31009X(4X10092-1)êᵨ=—(F+32+52+...+20172)=3sn<᜻ᦪt,2an+a„l=~n,4+1+4,+2=(஻+1þ,+2¸¢ÿ
4+2-4=/+(஻+1)ᑣ%019஺”=20172+20/,“2017—஺2015=2015~+20162,%015—%oi3=2013~+20142%=+22
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33ᵫ)ᯠᦪ,-./0F+22+32+…+/=:1123241
,62,2018x(2018+1)x(2x2018+1)%஺19=q+1+2?+3?+…+2018?=4+---------------------------------------L6ᑣ2s2019_a2019_2s20]9%019_2(2018+“2019)—“20192s2018+஺2019201920192019201920191009X(4X10092-1)2018X(2018+1)X(2X2018+1)2x2=1009+20192019T7..2”,s2019a2019=1010—஻,201920192019-22019.2019τ12019τ20192019?2=.2019-2-A(2019-A)♦.♦%>(),᪷@ABCD0L~l2.-.2(2019-2),E+(2F20191=2Q1OnniQ2GHIG4=2019—Jl,ᓽJ1=L^~N,2(2019—/l)=O201912019220192,-----+——=-------------->--------=4A஻2(2019-2)-20192420191ᓽ-^+ḄᨬRST4,ᦑ⌱WBூYZ௃B⚪ὃ^_`⚗b.cஹcஹABCD0Ḅeᔠgᵨ,iᐸG᜻Ꮤ⚗m⚗/0Cn3ᡈὅqrCn2N⌕ᑖnu᜻ᦪ.nuᏔᦪḄvwxyz
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3416.Bூ᪆௃ூᑖ᪆௃ᐜᵫᩩ
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¡ᦪᑡ1A——®1Ḅm⚗an-22~-32-20192-/0¯ᔠ°6Ḅ±²b¡+—+L+-----ḄS஺_4__஺2018_ூ´௃Q«2-2a,+a=2,(a-a)-(a-a„)=2,H஺2%=4,n+n+nn+2n+in+l¸¹ᦪᑡ¦4,º»¬T¼4u✌⚗¼2u/ḄDᦪ¾I•414=4+2("-1)=2(஻+1),/.a”=4+(%—%)+(%—%)+L+—6i)=2+4+6+L+2஻=஻(஻+1),(H+1)2_5+1+22ᑣ=1+1=2,a+nnqn11(n+lV(஻+1ÇG஻22N0<<1,ᑣ1<1+—<2,ᑣ——®<2,ᓽ-——-=1,nna.a„2220192¸¹,+L+=2+1x2017=2019ᦑ⌱WBo7n_2OI8.ூYZ௃B⚪ὃ^ᦪᑡḄeᔠÌ⚪ὃ^DᦪᑡḄͲஹcbᦪᑡḄm⚗ஹ¼ÎÏͲÌ⚪,ὃ^ᦪᑡÐÑᦪÒ¯ᔠḄÌ⚪B⚪ḄᐵÔᙠᦪᑡm⚗Ḅb¼ÎÏͲḄᳮὃ^g×ᑖ᪆ØÙḄÌ⚪⚪஺17.Bூᑖ᪆௃a„,ia111nᐜ᪷@⚪±,Û0ÜÝᓄ}¤
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38ூ'(௃*஻=2+,஺2*+1=.42*+4ᦇ*஻=21+1,*+2=஺2*+1+41+2,345=81+2,ᦑ4+4+…+%8+4஺=(&+%)+..+(%8+஺60)=8(1+3+…+29)+3஺;l,f'M>0,X*Ovxvl,ff(x)<0,uv/(w)2/(1)=0,*.wy111%+1,zg<7>஺ᑣ4+஺2+/+஻4>4+஻2+%>ln(4+஺2+஺3);ᔠ⚪|}zg94-1,ᑣq+~+஺3+஺4=%(1+4)(1+/)40,ln(4+4+஽3)=4(1+4+/)]>ina>0,]ᓽ4+஻2+஺3+஺4<0aq2=

39ூDE௃᪀⌼ᦪ;cllm▲ᑴᦪhik.ᨵᦔ[\.᝞xNlnx+1,eA>x+l,eJ>x2+1(x20).20.Dூ(᪆௃ᵫ/("(»=/(x+y)5/(0)/(-D=/(-i)v/(-D>o.-./(o)=1}.../(x)/(-x)=f(0)=1x>஺,/(x)=1e(0,1)}f(~x)(iAiiuvᵫ/(஺ᵨ)/--=15/(44+^.)=/(0).•-«„+--=0.+|+1+4l+ana\=1~=ߟ,4=—2,஺4=1}♦T=3•ᡠA/(6013)=/(஽016)/(4oi4)=/(஺2017)}d>%f(x)=d)/(x2-w1)>%”f(x)ᙠ(-00,0)ᓫ⌴ᓽ2/(஺2013)=/(4()16)=/(—2)>/(—])=/(஺2015),⌱D.DE(1)ᵨᦪឋ¢(£R⚪,ᐜ⌕¤eᳮ(¦§ᦪ3ᐵឋ¢F©Ḅª«¬ᐸ®ᵨ[ᔣ.(2)ᙠẆ±ᦪឋ¢ᱯ³᜻Ꮤឋஹᕜ¶ஹ·ឋஹᓫ¸ឋஹᨬiஹºD,⌕<|ᵨ»ᐸPᩩ½Ḅ3¾ᐵ¿ÀᔠᱯÁlcÂÃᓄẆ±.᝞᜻ᏔឋÅÆÇÈÉʤËÃᓄᕜ¶ÅÆÇÈÉÊᜧGÃᓄᓫ¸ឋÅÆÇÍ“/"ᓽÏᦪiḄᜧGÃᓄÈÉÊᜧGᐵ¿,·ឋÅ5ᑮ·ḄÈÉÊᡠ®ᦪiᐵ¿.21.ABDூᑖ᪆௃᪷Ò⚪Ḅ⌴ᐵ¿Å5.஺21=1“2"+1-2a2«=1ÓmÅ5஺2«+2.2஺2%=2,ᵫvÅ5
aḄÔ⚗Õ~+T×ḄÔ⚗ÓmÅ⌲⚗ᑨp¤Ù.2kூ'(௃ᵫ⚪Å5a2K-஺2"|=1஺2«+1-2a2K=1,u4=1,%—%=1ᦑ஺2=4+1=2,ᡠAa2k+2~a2k+\=1a2k+\~2a2k=1ᡠAa2k+2~2a2k=?’ᫀ"25⚓$55⚓

40ᡠA/*+2+2=2(%*+2),u%+2=4T0,ᦑ஺2%+270,ᡠAÞß=2,ᡠAÕ%+2×cgᦪᑡᡠAt^+2=4x2iᓽ+=2+|.2,ᦑ%=16-2=14,ᦑAC┯.é%1=21_2_1=2*+|_3,ᦑḄ1+3=2ᡠAì"M+=2,ᓽÕ᝞T+3×(&eN*)A2gḄcgᦪᑡᦑB¤e.a2k-\+3S14=q+a>+•••+a/—6Z|+(4+1)+-஺+<1+(%+1)7=2(q+<23+4/5+%+6!g+6!j1+a”)+7=2x(2--3+2,—3+,,,+2**—3)+7=981,S=S+a=981+509=1490>1000,l5l4l5ᦑS”>1000ḄᨬG¤᦮ᦪ஻Ḅi15,ᦑD¤e.ᦑ⌱ABD.ூDE௃[\DE⚪_Ḅþᔠ⌴ᐵ¿uv◤⌕ὃ⇋᜻ᦪ⚗Ḅ⌴ᐵᏔᦪ⚗Ḅ⌴ᐵ᜜Dᔲᡂᐜὃ⇋5Ḅ.1422.ABDூᑖ᪆௃(ᵨ⌲+,-Ḅ./ᑭᵨ(SJ)ᩭ⊤78+⚗9:;<=>?@ூAB௃CDAEᵨ(sj)ᩭ⊤78+⚗ᑣI+J:3(0,1),IOJE5(0,2),6(1,2),IQJE9(0,3),10(1,3),12(2,3),ISJE17(0,4),18(1,4),20(2,4),24(3,4),ᦑAWXYZᫀI26⚓]55⚓

41CDBE°"(`)⊤7I஻⚗I஻ᑡ,ᑣ%(“e=2"-3.2",ᦑBWXY22CDCE4ᝣ1+1⊤7I”⚗I1⚗ᑣ4(e|=2஺+2"=1+2”,ᦑc┯pY22CDDE4ooI14JI9⚗ᡠs4=28+2”=1664(),ᦑDWXGoᦑ⌱EABD.ூvw௃./vwECDxyzḄ{⚪ᐵ}ᙠDᳮBᐸyzᔣ៉ḄḄᓄὃḄᓄ.23.ABCூᑖ᪆௃ᐜI+ᑡḄ⚗>ᑮI஻JḄI□ᦪ(2஻?+1)஻+=ᑨABD,ᵫI13JḄ✌⚗=ᑨC.ூAB௃I+ᑡs4✌⚗3Ḅ¡ᦪᑡᡠsI஻JḄI+ᦪ4+3("-1)=3஻+1,I+JḄ3,IOJḄ5,IQJḄ7....I¢JḄ2஻+1,ᡠsI஻JḄIᦪ3஻+1+(-1)(2஻+1)=(2m+1)n+m,ᡠsI3JI10ᑡḄᦪ(2x10+1)x3+10=73,AWXYI2JI19ᑡḄᦪ(2x19+1)x2+19=97,I6JI7ᑡḄᦪ(2x7+l)x6+7=97,BWXEI13JḄI+ᦪ3x13+1=40,2x13+1=27,ᡠs¦13ᦪḄ13x40+^^x27=2626.,CWXY2¨(2᪷+1)஻+᪷=200,>஻=ªO«=_L(W--1),¯ᯠ±B.D²WX.2m+122m+1ᦑ⌱EABC.ூvw௃ᐵ}vvwE³⚪ḄB⚪ᐵ}>ᑮI஻JḄI+ᦪ3஻+1,I஻JḄ2஻+1,I"JḄIᦪ(2m+l)஻+s,ὃ´µ¶Ḅ¡ᦪᑡḄ·ᵨ.ZᫀI27⚓]55⚓

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44-

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48¹ὃLãäᳮåæ]çè|Såæ|Sép⌴ᐵ®Ḅᮣëᣚºcd᫏⚪.27.ACDூᑖ᪆௃ᑖ᪆}0<4<1,qr}ᦪᑡ%4&$?⚗⌴)ᦪᑡíᔠ⚪pᑖ᪆}?⚗ᦪᑡ%4&Ê.2020⚗ïᜧc1ðñ2021⚗òï9c1óðqᑨÆ}ᔜ⌱⚗Ḅ?=.ூS௃ᵫ(Ú020—1),(402I-1)<஺qr°2020—1µ°2021—1ö÷“2020>1஺2020<132021V102021>1ef>],஺2020'“2021>]qr஺2020µ02021ûü,ᓽý>஺,*Èᜧc1*È9c1l,ᑣa“=qq"Tுl,þᔠ⚪p;ÿ0l,⌴ᦪᑡ0<“2021<1ᡠ%,^2021^2020=஺202]<1,ᦑB⌱⚗┯*C⌱⚗ᵫ,-.⚗ᦪᑡq"/2020⚗0ᜧ12342021⚗5061ᡠ%7^208ᦪᑡ(,":Ḅᨬᜧ=ᦑC⌱⚗D⌱⚗,%=%ஹ…AB/C=q2O2,2O21*IOU=/H>1,D⌱⚗.ᦑ⌱JACD.ூLM௃ᐵPLLMJᙠRSᦪᑡT"ḄUS᜛ḄW=XYZ✌ᐜᑖ᪆᜛Ḅ_`abcY᜛ḄW=efg⚪ḄᐵPi8jᔠl.ᩩnᑖ᪆o0<4<1,qjᔠRSᦪᑡT"Ḅᓫsᫀ431⚓v55⚓

49wឋᩭaz{|.28.ABDூᑖ᪆௃-ᵫ~S.Ḅ⚗Uᵫ=஻(஻+”oa“=n,gᐭᓃ“=:-271113%=1+bᜧ.ᵫ⚗o7ᑭᵨᦪᑡḄᓫwឋb<7-.஻+2)34ூf௃S,஻+2ᵫ⚪=——,s,஻...஻22ZS”s“|L.s=.^...3஻(஻+l)஻=1Zᡂ¡,S,,-1S“_2E1n-

50-21_2•••s„᧕da“=n,%.02020=2020ᦑA,5;~2-'a=^^=1+^=1+¦-ᯅ)11)஻ᓝ+஻+1n஻+2J22஻+1஻+23If11ஹ3=n-\--------------F------\

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52ᵫD-.5=26—5—2155(5+1)6(6+1)---------ID----------Z122S=S+20+2'+22=26-5-2+7=641815ᦑB┯ᦑ⌱JACூLM௃ᦪᑡµḄôᢈö(1)᎔ø¯JᵨRùᦪᑡஹÎä⚗úᦪஹÆឋᐵὶḄᦪᑡḄµ.(2)┯üJᵨRùᦪᑡÎRSᦪᑡḄýᦪᑡḄµ.(3)ᑖÓµJᵨþÿ
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54ᦑ⌱AC.ூ௃ᐵ»⚪ὃᦪᑡḄ¼½¾¥ᔠḄᐵ»¿4ᐙᑖᑭᵨ⚪½¾ᵫḄ⌲ÂÃÄḄ.32.BDூᑖ᪆௃ᐜ¥ᔠÅÆᩩÈᑭᵨ4=5“mÉᑮP4Ḅᐵ,ᵫP=—1ᑨÍ⌱⚗A┯ᵫ<7-1q=(>1ᑨÍBᑭᵨ1%3Î⚗Pn⚗PÏᐭÅÆPÑÒᔆ=m஻ᑨÍC┯Ôᔆ=m஺Ïᐭ0-Õ-,ᑭᵨÖ¶
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64ᵫë4+2%=
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67ᡠP$2015=4017+E-஺3=᪷+1-2=Ôm145.(0,2)-6ூᑖ᪆௃ᵫ⚪Ö*a,="+×,ᵫa>஺“ᓄ&f9*0<஺“<2,f*᜜ḄÙÚ;n+l"+2/I1A91=஻24Û*d------+—f*Ü+4+4+…+42()=mÝ------^an-\an/2%0202ᵫ§<%020<2f*4+8+4+…+4()20ḄÙÚf*᦮ᦪßḄÚ♦ூ89௃àáÖḄ஻eN*4>஺ᵫq=a%-a,ᓽa3—a-a„=0,l+ln+in+l9*a=ᵨᓛãᵫa“>0,ᡠPJ+J1+4%ுæ,n+i2w+i2ᵫᦪᑡ4⌴[ᦪᑡᑣfM>4f*1+5_4ß>%,ᓄ&f*4-2a,<0,9*()

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