2023年高考数学大招3找规律秒解年份题

2023年高考数学大招3找规律秒解年份题

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时间:2023-07-02

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22020202240402021Z[1ᵫ112/172+2]ᑣ20201+2++஻+(஻+1))(1+஻+1)È+1)(É+1)(஻+2)]஻+1⚗42஺=2)—+)—)+11ஹJ11A20201010¤3=2=------=-----ᦑ⌱C,20212022J(22022J2022---1011Z[2:ES2020,F2020=n,n1010_2A.2022஻+22020nB.2021-H+12020nC.2022-n+24040InD.2021-H+lS\-=,S2=+=,¥ᨵ⌱⚗c;ᔠᦑ⌱c.1+231+21+2+3221g4.¯°ᦪᑡ஻஻Ḅn⚗bS,✌⚗S+—+2=tzH..2,nnM3S஻ᑣS᝞4ÃÇ20122013201320142014C.2015

320152016Z[1ᦪᑡ%S,,+g+2=a,(஻..2),a=S-S_,nnn1.•.S“+g+2=S“-S,iᓄbS“(S-T+2)=-LS|=q=_'|,r.=$2=_*(+᦮[-ᵨᦪnËÌ[bÍᩖ.)4஻+1ᳮ-s.=--,µ-s“=-----.5”+2஺2015352014=-ZT77ᦑ⌱D.2016ÑmiAmiAஹdh2012஻-2nஹ4H2013n—1Z?[2:F2014=H,ÒljA⌱⚗µ=------,B⌱⚗µ=------2013n-\2014nÓஹ᝞M2014n2015஻+l2,_C⌱⚗µÔ77=—µ)'D⌱⚗-^7=----4=Õ=µÖ,ᜧ×-.32015H+12016n+23D;ᔠ.ᨬVØÙOPµÚg5.ᦪᑡA4B4=1,ÛÇÜ=ḄneN*Yᨵ=஻“+%+%ᑣ+---ÃÇ()4a2^20144026201540282015201320142015

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12q=11a=q+1+1=3,2114FᨵC⌱⚗Gᔠ4ᦑ⌱C.qa322.(2021᧡•ijkl)mᦪᑡA«„Bpqq=1,%q=2"(஻eN*),r5„sᦪᑡt஻⚗v,ᑣ5x2016A.220,6-1B.32௃⚚_321oo9_3C.21010_3D.{ᫀ:஻a?w+,}~1ᦪᑡA%Bpq4=%=2"wN).2!.=——=2,aa=2,2tan+\an2%=2.•ᦪᑡABḄ᜻ᦪ⚗Ꮤᦪ⚗ᑖᡂᦪᑡs2,✌⚗ᑖs1,2.ᑣS2016=(q+%+•+%015)+^10()8_12(21008-113+4++*)=37—U3.ᦑ⌱B.}~2:S,f2016=஻,2016"Ꮤᦪ,ᵨ52ஹSA.2016410080092016_J2»_.2-3=3-22-3,C.Z1-3=22*-3,.2=B3D2""°-3=2%2-3a,=1,a-a=2"(neN„),a=2,S=3,⌱⚗AஹBᔠ.ll+ln22a=2,a=4,S=9,ᨵBᔠ.3443.(2021•jkl)ᦪᑡ4Ḅ✌⚗q=l,pq4ᔣ+a“=3஻(஻eN*),ᑣḄ¢£A.2020B.3028

13C.6059D.3029{ᫀ}~1ᦪᑡ[a]Ḅ✌⚗q=l,pqa+«„=3n(»eN),a=2,ᡠ¦nn+]t2஺“+஺1=3஻-3,§«„-a,,T=3(஻eN*),ᡠ¦ᦪᑡḄᏔᦪ⚗¨©ᦪᑡ✌+|⚗s2,©sª+(130—1)x3=2+3027=3029.ᦑ⌱D.}~2:a,f2020=”,2020"Ꮤᦪ,ᵨ4ஹ4A.20203஻2020=n,B.3028=--—2,C.6059=3/1-1,D.23029———1,4=1,a“+]+=3஻,.a,=2,⌱⚗AஹDᔠ■a=2,a+a=3n,/.a=4,%=4,a+a=3n,a=5,ᨵ⌱⚗Dᔠ,2n+in3n+in4ᦑ⌱D.4.2021•᠄¬k®ᦪᑡA4Bpq:a“=2¯?)஻eN",஻ு2),r13q=1ᔩ=,%)19=3A.80753B.60545C.60585I).4036{ᫀ:%-2%T}~1ᵫ⚪´ᦪᑡA«„Bpqa„neN«,n>2),§2%_%112I¨©ᦪᑡ__1=:U1=2ᡠ¦—+—=—,ᡠ¦ᦪᑡanan-2an-\%7a2ax33

14"+s-1=ᔳ33=——.ᦑ⌱A.a"3''3஺2”9=4x2019-18075333}~2:a,39f2019=”A.¶U,DD.—80754/1-160543n-33—,D.----=-----,q=L%=Uᨵ⌱⚗Aᔠᦑ⌱A.60583H+140362n-2-35.2021•·¸k®ᦪᑡA4BḄtn⚗vsS“S”=2a„-2,ᑣa£2018A.22021B.22020C.22019D.22018{ᫀ:}~lkS“=2a”—2,ºn=\»a,=2a,-2,q=2,º஻..2»,a~S”—S._]=2a“-2-¾“t-2=2a—2a_,:.a=2a_,0.ᦪᑡAa.B¨¦2nnntnn/s✌⚗¦2sḄᦪᑡ.•.a“=2",º஻=1»¼ᡂ½,•••«„=2">«2o8=220'8-ᦑ⌱D-l}~2:ª018f2018=H,2018sᏔᦪᵨaA.22021_Z”"B22020_2"+2Q^^19_2”“D=2n,,S=2a,-2,:.º஻=1n»4=26U2,q=2,ºn=2»S^2a-2,4=4,ᨵ⌱22⚗Dᔠ,ᦑ⌱D.ஹ/Ih6.2021᧡•ÀÁÂ᪥Äk®ᦪᑡAa,,B,¼Bpq4=1,%ᑣ᝞7=201720182018201720192018

152018,2019{ᫀ2017n2018}~2:%",f2017=஻,AA.-------=-------,Bn.Ec.2018n+\2017Un201977+22018"+11,b,τ11a.=-,a+b=1,%—“,4=1—x—n2018஻+12019"+21-422ᨵ⌱⚗Aᔠᦑ⌱A.7.(2021•ÆᵪÂ᪥Äᨴὃ)᦮ᦪᑡÊ“Bpqa“+i-4T<3"+),a-a>3”"-),4=3,ᑣa=n+2n201831010-3A.23*3B.23239—3C.832018—3D.8{ᫀ:}~1:;a,+]-%<3"+),%+2“>3""--%>3"-Ëᵫᦪᑡ4s᦮ᦪᑡᦑ41=3”,ᓽ%-஺2=3',஺6U஺4=35,4U஺6=3,஺2018U“2016=3"'",ÌÊ«()IS~ai~+227(1-9,(X,8)320,9-2722019—3+37++32(,,7=—Ë<%=3,x%oi8=-----------ᦑ⌱C.1-98831010-33£'-32n3Í_33-3}~2:a20l8,f2018=஻A.-----------=-----------,B.5C.222232°"U33ᔣU332018-33"-3”1a„2~a„<3'ᵨ+)n%-%<3+-,+------Z------=-------Z-----D8888Ë6>3'ᵨU)•3n+l-1

16ᨵ⌱⚗Cᔠᦑ⌱C.8.2021•ÏᐗÑÒᦪᑡAÓBḄt஻⚗vsS,ÔÕ´Ö᦮ᦪ஻ᨵ34=W+2ᡂd.×b=loga,Ølj48nn2n00A.2017B.2016C.2015D.2014{ᫀ:3}~1:ᙠ4=)S.+2®f஻=1q=8,ÚsÔÕ´Ö᦮ᦪn,ᨵa„=—S„+2ᡂ½ᡠ¦a=—S+2ᡂ½ÛÜÝÞa-a=—a,n+in+1n+inn+xᡠ¦஺ᵨ=4§Ë”¯0,ᡠ¦ᦪᑡA%Bsᦪᑡᡠ¦a=8-4n-'=22n+l,ᡠ¦d=logM,=2஻+1,ᡠ¦b=2017,ᦑ⌱A.n1008}~2:ᓽ08f1008=72,A.2017=2஻+1,3.2016=2஻C.32015=2஻-1,஺.2014=2஻-2,a=-S„n333+2,.,.q=8,ß=logiOj=3,a=1S“+2,a=^2+2,%=+%)+2,).%=32,&=log2a2=n25,ᨵ⌱⚗Aᔠᦑ⌱A.9.2021•ààáklᦪᑡ4Ḅt஻⚗vsS.,4=ÔÕ´Ḅ஻wN"ᨵ««,,=«+2a,ᑣS*=n+i“2019A.------20202020D.------2021c20212022

171010D.TOH{ᫀ}~1:ᦪᑡA%BpqÔÕ´ḄneN,ᨵna=(/?+2)a,ᑣnn+1ᨵ஻(஻+1)q=(஻+1)("+2)a,§ᦪᑡ஻(஻+1)§Bsæᦪᑡᨵn+i஻(â+l)a஻=%+""=(n"Ëᵫ4=nyn+\j11111,12021஻(஻+1)U஻U஻+1'ᡠ¦52021=1-44T2232021202220222022⌱C.2019n-202020n-\}~2:S,f2021=஻i\.------=-------,D.-------=-----,C.20212020n-\2021n2021n1010n-\_4=ᨵ⌱⚗cᔠᦑ⌱C.2022-஻+1''1011-஻+1'τU210.(2021•᪻äÂ᪥Äᨴὃ)mS.sᦪᑡ4Ḅt஻⚗vS,,=(T)%,£,஻WN*MJS|+S2++S]()o=/A{ᫀ}~1:ᵫs=(-l)rta-4-,H€N,ºH—\»S.=—CL——,CL=----)º

18ç.2»a=S-S_=(-11)/-ci_+,ᓽnnn{n]%?=(—1)"஺஻+(—1)"஺஻U]+è7ºnsᏔᦪ»஺“U1=—ᔵ(â.2),ᡠ¦%=-êºns᜻ᦪ»61=U2”,+=(-2)1ê)+=êᡠ¦111一=-2「=.=一所以4=fᡠ¦-4=ë4=ìᡠ¦-q+4»x所L22以3,42,211-4+%=C2x^1=f11-஺99=¯1஺100=-4Z9+100=2X一•K2一929ÚsS+S+S++5=(-«,+02)+(-0,00-l23100+(——+஺|00)U(î+ï+1111(11+%)+(—஺5+஺6)++-ᓃ++42}~2:M+S2+S3++S,f100=஻,100sᏔᦪᵨS,+SIOO2=-1,S“=(—1)Zð,”N*,º஻=1»S,=-«,-1D;=)==q=U;)ºn—2»S=a—^,S—a=-,q=?º஻=4»,2222S=a---,S,=------)ºn=3»S—a——,4416316338«=--^2=06+S?=U;3ᨵA⌱⚗ᔠᦑ⌱A.11.(2021•òÑÒ)ᦪᑡA%Bpq3a+32a+33^++3"a=஻(஻eN*),ᦪᑡt2n(1ஹ-——)------Ḅt஻⚗vsóᑣ(7?ᑖô஺2஺=Iloga„loga)33n+1

19A.20211B.20202019C.20202020D.2021{ᫀ:}~13஻1+3-+3?/++3”ci3஻]+326?+3%3++3"τ=஻—1(஻..2)n2"஻=",ç.2,˺72=1»,ᨵ3õ=1=>4=)5ÛÜÝÞ3"4=1,ᓽ1¼〉ᔠ¶Ü/.an3"]1£_11-11-1-=1--—=+++——loga„loga„+n223n஻+1஻+172+133+1,12320201-T2T3^020="x3X4Xx------=—,ᦑ⌱A.20212021}~2:4ZW……I20,f2020=H,2020sᏔᦪᵨ(ᑢA.11,B.I-,c.2019n-

20------=------,D2021஻+12020n2020n2020_n,3஻]+32%+3'q++3"4=஻(-1,4-]2021-n+11+3~2=2,=—,3q+3“F+3,%=3,%=—53%+32%+3,%+34%=4,ci^——,—92781logtzlog6t3l32-------1!-------=--------1--------=—1,7)*ᨵ⌱⚗A2logs஺210g3஺36log«log«12223334ᔠᦑ⌱A.12.(2021-øÑÒ)ᦪᑡMḄt஻⚗vsS“a,=1,qᵨ+஺“=2஻+1(஻eM),(1ஹᑣᦪᑡ—Ḅt2020⚗Ḅvs

21A2020A.----2021D4040D.----20214039,2020Dg2022{ᫀ}~1ᦪᑡA4BḄt஻⚗vsS,,,ax=\,an++a„=2஻+1,ᡠ,a„+2+an+l=2n+3,ÛÜÝÞ:an+2-an=2,at=l,a2=2,ᡠ,an=n,;ùᦑ!ᡣûUüᡠ¦ᡠ¦11111111)1ᑣS]SSI223nn+1J(஻+12n"1>4040.ஹªrnn=2|1------|=------ᦑ⌱BD.“I2021)2021}~2:—+—++IUf2020=H,2020sᏔᦪ,ᵨ/0,S]S2§2020£S2A2020ný40402nA40392n-lnA.----=——R-----=——C.-------=---------,D.2021n+l2021n+12020n4041_2/1+111144=1,4+]+a=2஻+1(஻£N)o,=2,ÿ=1,——=?,---H--=3•n/ஹn2022-â+23S1S32ᨵB⌱⚗ᔠᦑ⌱B.13.2021•⚗ᦪᑡ-2—Ḅ!”⚗#$S“,63%=2஺9+3%24+3J2019;஻1“2021=2020,S=2020'ᑣ“20212020A.2019B.2020C.2021

22D.2022@ᫀ:1CD1:ᵫF3q+1=2d+3%ᡠ,᦮ᳮP3%24+3%'1312211,ᡠ,ᡠ,an(2%+3)a2a+32a“+3a4Innn2221J_J_111ᡝ-------1--------F+------+--------,ᡠ2q+32ct)+32an+3%4%,_U=VWX=Y;Z=2020,ᡠ,[\—q=2019,,$2020a\஺20216%0212020`%Z=2020,aP,%=1^CL=—2020W2b0,ᡠ,ᦑSᡈ_.ᵫF஺2021=2019,a2021=2020ஹ%021=-12஻஻+3«1,ᦑ⌱B.a=20202O2lCD2:d⚪fgDhi4ஹj,ᦑklᵨ⌱⚗0m.d⚪ᨵ3nop,ᜧrs,tuvwCD.C1ஹ14.2021x•yz{|ᦪᑡ}4~a,=1,%-4T=஻ᑣᦪᑡ—Ḅ!2019⚗#F2019A.TW404020212019202040362019@ᫀ:CD1:ᵫ4=l,a“-a,i=஻(”..2),sPa”—ciy+(%-4)+(q—a2)++—a”_])=1+2+3++஻=+ᑣ

2312=2ߟ11ᡠ,ᦪᑡḄ!2019⚗#$\an7/111111201921——+----+------------ᦑ⌱A.I22320192020202010101CD2:hᦪᑡ—Ḅ!2019⚗#2019=஻A.2019n40402(n+l)A2019n40362(»-l),1n----=——rᡈ-------------C.--------=----,D.-----=------,a=1,—1010«+]2021஻+22020n+\2019n'a,2ᨵ⌱⚗Aᔠᦑ⌱A.152021x•₢᪥{S“ᦪᑡ}q~Ḅ!஻⚗#ᦪᑡ}`,~Ḅ✌⚗4Z1=-1,4Z„=S-S,ᑣS-+1nn+]2Q2l20212021C.2021D.-2021@ᫀ:CD1:S“ᦪᑡ}4~Ḅ!n⚗#ᦪᑡ}«„~Ḅ✌⚗S.“-S,=S£M᦮ᳮP33-1=-1(vᦪ),q=Tq,+i=s“-s”+iᡠ,+1»U3.ᦑ⌱B.CD2:hS,ᡠ,—=-1ᦑ80212O2IS,2021202112021=n,A.B.C.2021=஻D.2021n2021n-202I=f,Si=-1,%=S4=SES-1=5¢⎃,⎃=-¤,ᨵB⌱⚗ᔠᦑ⌱B.

2416.(2021•¥¦W)§ᦪᑡ}4~Ḅ!஻⚗#$S.,;a+a=2"(஻eN*),ᑣS=nn+/2O2O320I1\321@ᫀ9CDi9ᵫ⚪¬s*^2020=4+%++/020=(4+%)+(/+%)++(%019+^^202())=2+2'+o1_,2019,ᦑ⌱C.1-22Q2020GG^2020.τG_4->4-C-1XoAcccc*=?==?=n=ᓝNZᓝZCD2:hS/)2o,2020=n,A.-------=-----,B.-------=-----,C.333322஺2122W+1-2¢2202,+233322=-y-,•/+%=2",.•§=4+4=2,"+*=2"2=4+4+%+4=1஺,ᨵC⌱⚗ᔠᦑ⌱C.17.(2021x•°±ᨴὃ)ᦪᑡ}4~q=2,q+|=24+2,µU%஺2஺=A.220,9-2@ᫀ:CD1:ᵫa=2a„+2,sP%+2=2(%+2),·$[=2,ᡠ,Ga+2/n+ln

25,4$✌⚗2$¸¹Ḅ¹ᦪᑡᡠ,a+2=2'1+',ᡠ,a=2202l-2.n2020ᦑ⌱C.CD2:hj02஺2020="A.22O,9-2=2n-'-2,B.22020-2=2"-2,C.2202|-2=2,,+1-2,D.22022-2=32ᔩ=2,“|=+2,%=2q+2=6,ᨵ⌱⚗Cᔠᦑ⌱C.18.2021x•»¼᪥{ᦪᑡ4q=1,½¾¬Ḅ஻eN*¿ᨵ_n.,1111஻஻+1=4+µÀJ-------H--------1---------HH-------------a\஺2஺3஻2020A2019A.------2020Â4040D.------20214042,202140382021@ᫀ9CD1:ᦪᑡ4q=1,½¾¬Ḅ஻wN*¿ᨵ4+]=4+஺“+஻,ᑣa„i~an=«+1,᦮ᳮPa-a„_!=n,-,a-a=2,ᡠ,+n2t*ᡠ,Ãci—=2+3+4++7?,1jfr,a“=1+2+n2*,ᡠ,M஻+l)1111/11111ஹ-(1ஹÄ…H----+----F•+—=21+++21ᡠ,qa2%an(223nn+\)(n+l)1111/1A4040—+——ᓝ——ᓝ+=21--------=——.ᦑ⌱B.12021J2021«1a2«3஺2020111ÇA2019n-\ÂCD2:h-+—+++,v2020—YV,A.—,B.%ja3஺2஺202020n40402n40422n+2c2021-Q'-2021-n+\40382n-2a—1,a=q+a+n,a=1+1+1=3ᨵ⌱⚗Bᔠᦑ⌱B.xn+xn22021n+\

2619.2021x•ÈÉ᪥ᨴὃᦪᑡ42஻+2%0204=2ᔩ”=kÊ`4+%+%++஺஺01920202019202120192019201820212018@ᫀ:n+CD1:-.•«1=2,a=^pan,(neN*),ᑣn+l஻+1\7Ë•jq=2"TÌÍ♦».|.2=2i(஻+l),(஻eN*);*an-2a\஻”1n-2§ᦪᑡ{4}Ḅ!n⚗#S„,.-.S„=2.2°+3-2'+4-22++2n-'-(«+1),ᑣ2S„=2-2'+3-22+4-23++2H-(«+!),WÎÏÐP3S஻=2+2i+22++2"T—2“.(஻+l)=2+2(2Tஹ'32".(஻+l),ᡠ,2-1202122°"2021+…0S„=n-2",.-.-----------------Ñ------,ᦑ⌱B.a+++஺20192019-2201920191CD2:h-------᝞-------,2019=஻A.4+஻2+஻3++஺20192020_n+l202A_n+22019_2021cp2019"-Jr2019"n''2018ߟ——1,2018஻+22(H+2)2(1+2)6,%=3\=2(2+2)Â=16,_^_=2,4=2,஻஻+]a-34}n-\஻+11+1a1+1-4+j}ᨵB⌱⚗ᔠᦑ⌱B.20.2021᧡•ÔÕ᪥{ᦪᑡ4q=1".—µ!)4+1'7“2020=

2720181B.2019C],20202021@ᫀ:CD19ᦪᑡ×,~᦮ᳮP9aaa=a,ᡠ,:n+i+nn+lnan~=ana,l\'ᦑ-ߟ--'=1+vᦪᵫFq=l,ᡠ,ᦪᑡ}4~,1«„an+l$✌⚗1$¸ØḄØᦪᑡ.ᦑ9,=1+(஻-1)=஻,ᡠ,a=ka1n2()20an2020ᦑ⌱C.CD2:h%0202020="A.—-—=—93B.2018n-22019-H^T•1111.a1nnᨵC⌱⚗ᔠᦑ⌱2020n2021n+\a+\-2nc.2L(2021•ᓭÜ᪥)ᦪᑡ}4~Ḅ!஻⚗#$5“✌⚗4=2,6S*—a\~2(஻eN),ᑣ஺2020=n+A.22019B.22020C.22021D.22022@ᫀ9CD19ᦪᑡ}4~Ḅ!n⚗#$S",✌⚗4=2,65“=4ᵨ-2,(1),Ýn..2Þ,S“T=6,32(2),(1)(2)P9a,=S,-S_=a-a,᦮ᳮPnxn+xn

28×=2vᦪᡠ,ᦪᑡ}4~,2$✌⚗2$¸¹Ḅ¹ᦪᑡ.ᡠ,,=q-2"T=2",✌⚗ᔠß⚗.ᡠ,%=2",ᑣi஺2஺=22°2°.ᦑ⌱B.CD2:ha,2020=”A.22019=2"-1,B22&o_2஻c22°2i_2"+i2020D.22022=2"+2,«,=2,5„=^+|-2,ὡ=%32,%=4ᨵB⌱⚗ᔠᦑ⌱B.22.2021᧡•åI{|ᦪᑡ}4~Ḅ!“⚗#$S,,;S.=2a“-2,q=2,ᑣa2O2O~A.2239C.2202,D.22021-2@ᫀ9CD19ᦪᑡGa/Ḅ!n⚗#$5“;S„=2a-2,ᡠ,ᦪᑡnn5„_1=2a„_-2,n..2,neN*,sPa^2a-2-C2a_-2,ᓽ2-=2,ᡠ,ᦪInnn/ᑡGa/¹ᦪᑡ✌⚗$2,¸¹$2,a“=a0i=2.2"T=2",ᡠ,n%02஺=2”ᦑ⌱B.CD2:ha,2020=஻A.22019=2,,-'B.22020=2\C.22021=2n+1,2020,D.2202,-2=2n+l-2,S„=2a„-2,a=2,S=2a-2,a=4ᨵB⌱⚗ᔠᦑt222⌱B.23.2021᧡•ç□{|§ᦪᑡ}2~Ḅ!"⚗#$5„;q=2,a+a=2"஻eN*nn+iᑣ$2020=2202஺_2A.322020+2B.3322\—2\-Z.3

29D@ᫀ:CDI9ᦪᑡ}஻஻~Ḅ!஻⚗#$s஻;é=2,஺”+%+1=2nnGN*,.-.S=a+«+a+«+2020l2342l-4101022021-2஺5+஺6+஺7+/+'+஺2019+஺2020=2+23+2++2""’=ᦑ⌱C...22020-22"-222020+22"+2CD2:hSo2o2020=஻A.-------=-----,B.-------=-----,C.333322021-22"+,-222021+2=,D.3----3-----------32”“+2=—-—,=2,a+a=T,a=0,S=2,S=2a=4,5=6,a=4,S=10,ᨵnn+i21293344C⌱⚗ᔠᦑ⌱C.

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