2022年高考学业质量模拟监测数学试卷含答案解析

《2022年高考学业质量模拟监测数学试卷含答案解析》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。

ᙊ
ὃᩭ2022ὃᦪ⚪ᔁ⚗1.Iᔁ"#ὃ$%&'()Ḅ+,ஹ.ὃ/0ஹὃ12ᵨ456ᑏᙠ⚪ᓱ:.2.Iᔁ⌱=⚪⌱>ᫀ@#ᵨ45A⚪ᓱ:BC⚪2Ḅᫀ᪗06E#᝞◤ᦋI#ᵨJKLMN@#O⌱6ᐸQᫀ#RSᙠᔁ:.3.nᔁV⌱=⚪Wᵨ0.5Z[E⁐]^5ᙠ_C`aᜐ⚪#᝞◤ᦋI#ᵨᑜᣵef⚪.gஹᓫ⚗⌱=⚪iᜧ⚪ᐳ8m⚪#nm⚪5ᑖ#ᐳ40ᑖ.ᙠnm⚪q>Ḅrs⌱⚗t#uᨵg⚗wxᔠ⚪2⌕{Ḅ.1.|}~ᔠ/={x|X”1},~ᔠ8={x|X?+3x+2=o},ᑣ|}5=A.~B.-°°,1]C.-2,-1D.{-2,-1}2.|}a,᜛#/wsRḄ☢#a[\p=m,//=஻.ᑣᑡ⚪ᡂḄwA.¡஻஻/஻#ᑣa஻7B.¡a஻/,ᑣ/«஻஻C.¡஻¤_!_஻#ᑣa_L/D.¡a_Ly,ᑣ©_L஻ஹff-1,x<0/¬=33.|}ᦪ[x-2,x>0,°/প=a,ᑣ/=_1_21A.2B.2C.2D.2ᙊ
ὃᩭ2022ὃ•ᦪ⚪ᔁ1⚓ᐳ6⚓

14.|}´µf(x)=2ᙠ¶(1,/(I))ᜐḄᑗµḄº»¼½a,ᑣgsm-"cos-a,32sinacosa+cosa()1c33A.—B.2C.—D.—2585.tÂwtÃÄÅᦻᓄḄᴮÉ.tÂÊᑺRwÌᱥḄÎÏᔠ#Ðw᪷ÒtÌÓÔÕᑣ#Ö×ØÙÚÛ#ᵨ¡MÌᱥÓᑴÏᡂḄÌÊ#ÝÞᑮàá⊡ãஹä/åæḄ2Ḅ.tÂÄÅ,Ê“èéê”wᵫ⊡ì,Ê“ríîê”ᵫïðஹñòஹóôஹᮻᵞ₝rᕡÌÏᡂù⊡⊈,Ê“rᱥê”ᵫûᙢýஹñþஹÿஹᕡᡂᐳᕡᔠᡂḄ⊈ᑺ.“”Ḅᕡ!"ᕡ#"ᑮḄᕡ%&ᡂ“'(''ᡈ“ᱥ”Ḅᭆ᳛./1111A.35B.70C,840.1680D6.=>?@AḄB@ᚖDEF☢#ᡠᨵ@ḄJKL6,⚔NKᙠPᳫ☢R#ᑣTᳫḄ⊤☢VL/A.36WB.84Wc.132[D.18047.᝞]#D^”_/_`1abcd^/=ghஹஹ=1஺8""klmnoENpஹN5kNC,q2.^r4cḄN#ᑣ/A.12a—lC.\2a8.=>Ꮤyᦪ//X|}஻3+x=//3-xe°#3#//x=xe2,qᐵExḄᙠ750,150RᨵᨵAO᦮ᦪ#ᑣᦪ/Ḅ"./ᙊὃpᩭ2022ὃ¡¢£¤•ᦪ/¦⚪ᔁ©2⚓/ᐳ6⚓

2J__3\°τஹe2,3e2e^,2e-'B.L)D.LJ±ஹ²⚗⌱µ⚪¶·⚪ᐳ4¸⚪#¹¸⚪5ᑖ#ᐳ20ᑖ.ᙠ¹¸⚪»¼Ḅ⌱⚗#ᨵ²⚗½ᔠ⚪¾⌕À#ᐰÂ⌱ÃḄÄ5ᑖ#Âᑖ⌱ÃḄÄ2ᑖ#ᨵ⌱┯ḄÄ஺ᑖ.9.ÇÈḄ@JL1#E,F,GᑖÊL5C,CC.,84ḄN.ᑣ/A.D^஺஺cD^ᚖDB.D^4GcË☢ZEEËÎ9C.Ë☢4ÏÐÇÈᡠÄḄÐ☢☢VLP8D.NCcNGᑮË☢/£hḄÒÓn/(x)=sin(3x+0)(P,ØÙØஹ71X——10.=>yᦪḄ]ÚᐵED^4ÃÛ#ᑣ/7C(/)=--B,q//%P//஽Þ2,ᑣ7Ḅᨬ¸L3A.4517Cg(x)=sin3x+C.à//p]ÚᔣâËã12ᓫåÄᑮḄ]Ú71D.qyᦪ//“ᙠP஻”ᓫè⌴ê#ᑣ_ḄᨬᜧLì22¸£:\-'=l/aு0,bு0r11.=>4,“.ñd^a-b-ḄâஹòᯖN#ô4õö÷øL300ḄD^ᑖÊovmcñd^òúEN"#h#ûᑡᑨþÇÿḄ
ᐔA.""B.ᙊὃᩭ2022ὃ•ᦪ⚪ᔁ"3⚓ᐳ6⚓

3C.EḄ)*᳛,-6D.EḄ/012345=±8'12.;<=ᦪ/x=^~BCDᑣFᑡHIJKḄ
eA.=ᦪ/XMᙠOPQRḄSTB.=ᦪ/xUMᙠ᩽ᜧXYMᙠ᩽ZXC.[\?^<0`D23/x=^ᨵbcᨵOPd᪷D.fXeD,+8`DfXmax="noḄᨬZX42eqஹst⚪Buᜧ⚪ᐳ4Z⚪DwZ⚪5ᑖDzᑖ20ᑖ.13.{|}~/Ḅᦪ4.1cos2atana=---------=14.;<2,ᑣsin2a.15.T
1o=+/\TDᑣTPᑮ1“\y\1=°ḄᨬZ)416.fᦪᑡ"/J᦮ᦪ஻Dᨵ%+m=a“qᐸmeN”,44ᦪD4#01,ᑣᦪᑡ""
¡4ᕜ£D¡“4ᕜ£¤¥Ḅ“¦ᕜ£ឋ,¥ᦪᑡf”¦ᕜ£ឋ,¥ᦪᑡ”Ḅ¨4⚗41,1,2,3,ᕜ£44,ᕜ£¤¥43,ᑣᦪᑡªJ¨21⚗Ḅ¬4.ஹ®¯⚪Buᜧ⚪ᐳ6Z⚪Dᐳ70ᑖ.®¯ᑏ²ᦻ´µ¶ஹ·¶¸3ᡈº»¼½.17.uZ⚪zᑖ10ᑖᙠᩩ¿জ"+'"»=’Ã0,ঝெ6<ᙊὃᩭ2022ὃ•ᦪ⚪ᔁ"4⚓ᐳ6⚓

4sin-=si"ঞ2⌱\PD⊡ᐙᑮF☢Ê⚪DË̲Ê⚪®¯.ᙠA48cDÎA,B,0ḄÏᑖÐ4஺Db,c,b+c=6,a=2ἌD{A48cḄ☢Ó.ÔB᝞Ö⌱×ØPᩩ¿ᑖЮ¯Dᢥ"\P®¯Úᑖ18.uZ⚪zᑖ12ᑖ;<,¥ᦪᑡ%
⌴Ýᦪᑡ,zÞ4=32,/+%=80.1{ß,Ḅà⚗¤~á2a=log2a"Df"4ᦪᑡᓃḄ¨஻⚗ÓD·¶B1+1=1.b“c„19.uZ⚪zᑖ12ᑖç<è┵\8c஺DP4J_ë☢Z8CQ,b=î☢48co
Ïï46ḄðñDNN8C=60஺{·Bë☢PAC12"Cò8஺ó-T°,"4࠷TDfõ☢ᙊὃᩭ2022ὃ•ᦪ8

5ÎḄJᑗX
26D{ḄX.20.uZ⚪zᑖ12ᑖ÷øù¤úûüý\PþÿḄ

Ḅᩭᨵᡠᕒᙠᙽᵪᙢ1
!᤺#$ᣵ&'(ᒕ*Ḅ+,ᢥ.20123245.789+,:;52=>Ḅᓫ@Adm1(=>DEᢥ[°-8L0,[1.0,1.2,[1.2,1.4,[1.4,1.6]ᑖQ5R᦮ᳮUᑮ᝞XᡠYḄ⚣᳛ᑖ\]^X.1_Ḅ`abcdᢇ
Ḅfᙳᦪ%jk&'lR9ḄᦪmᵨoRpqḄ9r`st⊤;2Ꮇxdᢇ
ḄXz8{᝱ᑖ\”~°,ᐸ9஻Ḅ`QḄfᙳᦪx,b=0.23,bc!᤺Ḅ1002
9@pq0.88,1.57ᑁḄ1ᦪ3᝞E(dᢇ
9I4dmḄQᱯ⚣᳛sQᭆ᳛+,ᡭ2
ᐸ9ᱯḄ1ᦪQ_Ḅᭆ᳛ᓰḄᦪ.▬A"0046,+,>ᑣP஻—…<஻+b=0.6827ᙊ§¨ὃª«¬ᩭ2022¨ὃ®¯>°±²=•ᦪ⚪ᔁ¶6⚓ᐳ6⚓

6P(஻2bு0஻21.¹~⚪ºᑖ12ᑖ»¼½ᙊ஺bḄ1⚔rQ“U«ÂᯖrQF,ÄQH"I,ᐸ9oQr.1_½ᙊḄ^È2ɼrCºË3࠷=Ír8ᙠ½ᙊÎBнᙊḄ⚔r]ÑÒCQᙊÓḄᙊÔᑗrÖÄÖQÑ׫5Ḅ9r_]ÑQ8Ḅ^È.ᙊ§¨ὃª«¬ᩭ2022¨ὃ®¯>°±²=•ᦪ⚪ᔁ¶7⚓ᐳ6⚓

722.¹~⚪ºᑖ12ᑖ»¼Øᦪ/x
=e*-X.1
Ù஺=1ÚÛÜ/XḄᓫÝឋ2
ÙxNOÚfx
>-^-x3+1_aḄ;`à.ᙊ§¨ὃª«¬ᩭ2022¨ὃ®¯>°±²=ᦪὃᫀᑖ᪗1.D2.B3.A4.C5.A6.B7.B8.Bᙊ§¨ὃª«¬ᩭ2022¨ὃ®¯>°±²=•ᦪ⚪ᔁ¶8⚓ᐳ6⚓

8ár(x)=e"—Le”~8.ூç᪆௃ÙÚ/(x)=xe2,2I2JÙxe(2,3ìÚ/'(x)<0,Ùxeî0,2)Ú/'(x)>0,ᡠØᦪ஻x)ᙠxe(2,3ìᓫÝ⌴ñᙠXG(0,2ìᓫÝ⌴_3/(0)=0,஻3)=3e2>0,ò/(3+x)=/(3-x),Øᦪ/óᐵx=3õÄöᏔØᦪᡠ/(x)=஻f),ᡠ/(3+X)=/(3—X)=/(X—3),ᡠØᦪᕜ7=6,ᐵxḄjú/1x)/0)>°ᙠî750,150ìÎᨵÄûᨵHo1᦮ᦪçᓽ/(")>’ᙠî-150þ50ìÎᨵÄûᨵ1501᦮ᦪçᡠ.1ᕜᑁាᨵ
■I3\tee5,3e5᦮ᦪᔠ₝LBூ௃ᵫᦪf(x)=ex+x,!"#$f(x)%&ᙶ᪗ᡂ*+ᦪᑡḄ
.A,B,C,1&ᙶ᪗234ᜧ6ᵫ7ᦪ89ᓫ;⌴4Ḅᦪ6ᦑᵫAᑮBḄ?ᓄ᳛⌕CᵫBᑮCḄ?ᓄ᳛.EFABC9G8HFᦑজ!6ঝ┯,ᵫᵫAᑮBḄ?ᓄ᳛⌕CᵫBᑮCḄ?ᓄ᳛6ᵫL.MNOPQREABVBC,ᦑ
FTUV8*Ὺ
FT6ᵫ7EঞU!6ট!.ᦑ⌱B9.BC10.ABD11.BCDூ᪆௃`••ᡊᨴ5|,ᓽ“ghi.6஺gki.6.-.OMUPF^ᐔ;OM(FF).PF1FF)"PFE=Q62t266I/ᙊopὃhrsᩭ2022upὃvwxyz{|}•ᦪv(~⚪

9|g|=—ὡ|2,A┯6Bᨴ&,.•.tan300=—=—\FF\=2CNPFR=30°2c3I2»*»ᓽ/2=G2_/)=2ac,.•.—2e-8=0,e=5c;e=-=V3,,:.-=y/2222a,c"—3a",+.b~=c2—cT=2cr,a,Ḅ#g=±¢6D.ᦑ⌱BCD.12.ABC313.-814.4.15.V2.16.1090.15.ூ᪆௃ᵫ⚪¥6¦.§"#V=e'+x2Ḅᑗ#6ᑣV=e'+2x,«.஺¬“஺J஺®6ᑣ,~e"+2x¬®,°ᑗ#±²#N9NT=°¶·¸.Pᑮº²#NOᨬC6ᑣ->+2/=1,ᓽ/=0,|0TT|½£ᡠR.g¬°À®,ᑣ.ᑮ²#"-J-1=°ḄᨬCNOg06ᦑÁᫀg16.ூ᪆௃Ã9ᵫ⚪¥□=4,=3,1a஻+4=3a“6ᦑS,1=¬%+%+09+%3+%7+È1®+¬“2+4+%0+%4+%8®+¬%+%+«11+Ê5+Ë9®+¬%+%+Ë2+Ê6+4஺®ᙊopὃhrsᩭ2022upὃvwxyz{|}•ᦟv¬~⚪ᔁ®Î10⚓¬ᐳ6⚓®

10_1.(1-36)1-(1-35)2-(1-35)3-(1-35)----------1---------1----------1---------1-31-31-31-3=364+121+242+363=1090.4841281612=76Z"i=32Ê=3x76Zq=3Z%=3?x76Zq=3^2a,.=33x7,ýi=\i=5/=!/=9i=5;=13i=92016Zai=32ai=34x7,E1=347=326Z=•••=35tZj=243I3Z=171=13,211_05S21=Zq=7(l+3+32+3'+34)+243=+243=1090ᦑ-=>1-317.Ñ⌱জS+3¬"bHcic,ᓽ/-ÒÓ2_Ô,ÒÕ஻+஻9/=A6..........................................................................................2ᑖcos42bc2,*/=—×/€(0,%)6-3.........................................................................................5ᑖו/a2=b?+d-be=(b+c)2-3bc1஺=2«,b+c=6,6bc'=4,.....................................................................8ᑖS7ABe=—besin/=—x4xsin—=V3223.................................................................10ᑖsin=cosτ+—sin/=^^cosZ-LsinZÑ⌱ঝI6ᓄØ22,.......................2ᑖtanA=——ᓽ3,ᙊopὃhrsᩭ2022upὃvwxyz{|}•ᦪv¬~⚪ᔁ®Î11⚓¬ᐳ6⚓®

11•A—_ו••/€((),Ú)6••6................................................5ᑖ')a2=b2+c2-2bccos—=(b+c)2-bc(2+
)×6,1஺=2"6b+c=6,:.bc=4,(b+c)2-a262-(2V6)212bLe-----------------------------,2+V3—2+V3-2+Ý=24-1266S&ABC=gbcsin/=x(24-12>/i)x=693Ý......................10ᑖ.B+C.sin-----=sinJÑ⌱ঞ:2.71-A/.sin-----=sinB+C=/r—A2.................................2ᑖAcos-=2sin-cos—222A71A_x•(0/),'COSJO.AlA,ã..sin—=9/.A——222~~693.....................................5ᑖו•a2=b2-^rc2-be=(b+c)2-3bc1Q=2>/^,Z?+C=6,be=4f.....................................8ᑖ:9ABC=—besin/=—x4xsin=VJ’223...................................ioᑖ18.ூÁ௃1«*åᦪᑡæçḄPågè1,ᵫ4=32,421%+%=—+32q=80.᜛=2ᡈ9=—¬ëì®.ᡠR%=%62""=2"”.922íîᵫ6஻=log?%=஻+1,G=4=2,ᙊopὃhrsᩭ2022upὃvwxyz{|}•ᦪv¬~⚪ᔁ®Î12⚓¬ᐳ6⚓®

12஻ঝ6ᵫজঝc“=5■¬Ô.2®,°°஻.2¸6t?j-c...c஻=஻+1জ6c*c....2x2n஻=1¸6q=2=2ôõ%Q6ᦑ=6+τ),—1+—I=----+--n--=1.1nhcn4-1n+1nn19.Ã9:(1)íî0஺46¶☢48஺஺6BDu=☢4BCD,).P41BD.1ᑖ÷gN8C஺gøT6ᡠR4஺18஺62ᑖ×÷gNCIPA=A,ᡠR¶☢oZC,3ᑖD÷g8Du¶☢080,.•¶☢08Q1¶☢4c.....4ᑖ(2)¦஺§OTLPMýMT,þÿ஺T,.BQ0஺_L☢ZC,,ODA.PM,PM1☢,DT1PM,ᡠN஺")஺—஺Ḅ☢.7ᑖ?0D=2b,0M=U,AM=@,OTAP244OMPMbab!஺79ᑖ4V16a2+%2tan/஺ᵯ,=./0=2%11ᑖOT2aba-“=3:4.12ᑖb2:(1)4567஺800஻4,QP41☢/BCD,.•.001☢>3CZ?QᙊABὃDEFᩭ2022HBὃIJKLMNOP•ᦟI(R⚪ᔁ)6⚓)"M

13V>/BCD>WXYᡠ஺C_L஺஺YOQ,OC,OD>Z[\]^_ᙶ᪗b,4c0,0),d0,0),80,f,0,g,h0P10,4,.......................3ᑖ(2)i6j☢P3OḄ2ᔣL>i=(x,y,z),UULIUUUUQPB=g—A,—a,BD=(0,6b,0)m_LPB,m_LBD,q.30x=2...6=(2,0,222■Ysty=0......................5ᑖG᝞=0bz=—aj☢4஺Ḅ2ᔣL>Y=(x/,z),V>☢/Cᓽ>xOz☢Y•>=((),1,0)................................6ᑖ=☢P3QJL☢P4C........................................7ᑖIUI(2)☢OPMḄ|2ᔣL>஻=(0,1,0),j☢ᵨ஺Ḅ2ᔣL>p=(%,᜜,Z஺)ஹuun(bBb,MULUD=CD,0YQPDߟ,-----,-a224277bE2G2xo+~Y~yo~azo0X஺m3᪗)Ys<%=1P2E1,9bFb2a)/+~?ryo=03ᑖj☢஺஻஺Ḅ☢>஺Yᑣtan9=2",cos6=Y5ᙊABὃDEFᩭ2022HBὃIJKLMNOP•ᦟI(R⚪ᔁ)14⚓(ᐳ6⚓)

1420.i6(1)ᵫ⚣᳛ᑖ_(Q5+1+2+24)x02=1,i஺=0.75.....iᑖḄᙳᦪx=(0.7x0.5+0.9x1+1.1x2+1.3x0.75+1.5x0.75)x0.2=1.113ᑖ(2)ᵫ(1)Ḅᙳᦪ>1.11,ᑣ4=100x20x0.8186=1637.2஺1637(|)7ᑖ(3)ᙠ§®¯°s|Y±7L4dmḄ⚣᳛>30.75x02=015=—20ᡠ®¯ᡭµ¦Y¶§®¯°s|Y·|>ᱯ¹Ḅᭆ᳛>20.......................................8ᑖ20,—|¼⚪½Y¾ḄᡠᨵÀsÁ>0,1,2,3,…Y20,I20J............9ᑖP©1)=(9)+("1)=6ᒾ(ÆÇᡠ77»—x0.046=0.177120................................11ᑖᙊABὃDEFᩭ2022HBὃIJKLMNOP•ᦟI(R⚪ᔁ)15⚓(ᐳ6⚓)

153ᓃEC?=20x3=3ËḄᦪIÌÍ20.......................................12ᑖ-v+=1Ïa>b>0?AC\_21.i6Ï1?.••Ðᙊ஺bḄ|⚔Ò>I'ÔYb=3,ᵫ3ᨴÖ1=3,ᵫ/=஻+஺2,/=32+32=18,99r11=1ᡠÐᙊḄ×>18--9---.......................................3ᑖÏ2?:_ØÙ0>ᙊÚḄᙊÛᑗ©Ò?YᡠCP,ZB,᪷ß⚪½Y_Øà_Ø°Ḅá᳛ᙳâᙠYj_ØZ8Ḅá᳛>ãYᑣ_Øᨴ8Ḅ×>y+3=HYᓽy=H-3,.......4ᑖy=kx-3I"+1஻+1>,...............................7ᑖV>>ØòN8Ḅ§ÒYÒ”Ḅᙶ᪗>Ï°'-3?,'6k-31ᡠÒPḄᙶ᪗>12஻+1'2/+...................................8ᑖᵫ3ô=!YÒ஺Ḅᙶ᪗>஺Y°?,ᙊABὃDEFᩭ2022HBὃIJKLMNOP•ᦪIÏR⚪ᔁ?16⚓Ïᐳ6⚓?

16ᡠY_ØC஺Ḅá᳛>2Zr2+l,..................9ᑖk.———=-1V>CP_L18,ᡠ2k-6k+l...............................10ᑖ2k='᦮ᳮ2-3ã+1=0,i2ᡈø=1................................11ᑖy=-x-3_qᡠY_ØZ8Ḅ×>.2ᡈú=%-3..............................12ᑖ22.i6(1)ûQ=1üYf(x)=ex+x2—x,f\x)=ex+2x—1.................1ᦑû(—8,0))üYf\x)<0;ûX£(0,+8)f\x)>0...................2ᑖᡠ/(x)ᙠ(-00,0)ᓫ⌴ᙠ(0,+00)ᓫ⌴.................................3ᑖ(2)/()2(/+1(/42+ᑐ+1)""«1.1,1$%ᦪg(x)=(5%3-ax~+x+l)e~x(x>0),................................4ᑖ1,ᑣgr(x)=--x[x2—(2Q+3)X+4Q+2]e'x=-x(x-2a-l)(x-2)e~x........................................6ᑖজ32a+lW0,ᓽᑣ7xe(0,2)g'(x)>0.ᡠg(x)ᙠ(0,2)ᓫ⌴9g(0)=l,ᦑ7XG(0,2))g(x)>1,;<ᔠ⚪?.......................................7ᑖঝ30<2a+l<2,ᓽ—ᑣ7xe(0,2஺+1)g'(x)<07x£(2஻+1,2),gf(x)>0ᙊHIὃKLMᩭ2022OIὃPQRSTUVW•ᦪP(Y⚪ᔁ)[17⚓(ᐳ6⚓)

177XG(2,+8)g'(x)<0.ᡠg(x)ᙠ(0,2a+1),(2,+00)ᓫ⌴ᙠ(2஺+1,2)ᓫ⌴.ᵫg(0)=l,ᡠg(x)Wl7_`7g(2)=(7-4a)"24I,ᓽ•/——.47-e21ᡠ7qߟg()<1..........................................................................9ᑖxঞ32a+122,ᓽa2Lᑣg(x)ீ(gx3+x+i)er.7—p211ᵫc)ᦑᵫঝde(cd+x+i)eT«i.422ᦑ7g(x)<1..........................................................................................11ᑖ7-e2fcaḄhikl
L_L_,+8)........................................................................12ᑖ41.(2)mnoᵫ+i9eax~px+x+l—e"27x=0e020,qᯠᡂt.........................................................................4ᑖ131x—x+x+l—eτX*+2x+2—2e'7x>0,a>Z------n-------=-%22u/ஹx+2x+2—2e*/wஹxg(x)=----------;---------(X>0).....................................................................5ᑖx/ஹ(3x2+x-2ex)x2-(?+2x+2-2ev)-2xx3-2x-4-2(x-2)exnlᑣg(1)=---------------------------------------------------=--------------------------XX(X2)(x2+2x+2)—2(x-2)ex_(x-2)(x2+2x+2-2ex)a—i.............xh(x)-x1+2x+2—2ex(x>0),ᑣ஻(x)=2x+2-2e*=2(x+l—e'),..............................................................8ᑖᙊHIὃKLMᩭ2022OIὃPQRSTUVW•ᦟP(Y⚪ᔁ)[18⚓(ᐳ6⚓)

18xp(x)=x+1—e(x>0),ᑣp'(x)=l-ex<0,{9l(x)ᙠ(0,+8)cᓫ⌴ᦑ"(x)0ᨵ—+2x+2-2eஹ<0ឤᡂt...............................10ᑖᦑg(x)ᙠ(0,2)cᓫ⌴ᙠ(2,+8)cᓫ⌴.7-e217-e2g(x)max=g(2)=-y-ᦑaz5g(x)=max7-e2fcaḄhikl+8).............................................................................12ᑖᙊHIὃKLMᩭ2022OIὃPQRSTUVW•ᦟP(Y⚪ᔁ)[19⚓(ᐳ6⚓)

19ᙊHIὃKLMᩭ2022OIὃPQRSTUVW•ᦟPY⚪ᔁ[20⚓ᐳ6⚓