2022年新高考重难点汇编重难点汇总（解析版）

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144C.¯±²dᔜ⚗¹ᦪºqM64,»Ija=3D.±²d¬⚗¹ᦪᨬᜧM¼4⚗ூᫀ௃ADூᑖ᪆௃ᑏ.¬⚗±²Ḅ*⚗¾4m⌱⚗¿Àᑖ᪆(_IY(-1ூDE௃A⌱⚗\'஺=2GT=CI(2x)6-r-x”=(-ifQ26-x,ᐸdᔆM᦮ᦪÇ04"6,Èr+l\76--r=0,E-\r=4,ÉG(-1)'CI26T=15x4=60,ᦑ³ᦪ⚗M60IA\B⌱⚗\"C(axñ=(-l)'CIa6TÊᐸdM᦮ᦪÇ஺ËÌ3333F=0G6—=6,F஻=2G6—r=3,,Fr=4G6—r=0,,F=6G6—r=-3ÎÏf2222ᨵᳮ⚗⌕Ñᦑᨵ4⚗ᦑB┯0IC⌱⚗\È(
-9)dḄx=l-\(&-1f=64,ᡠOa=3ᡈ஺=-1,ᦑC┯0ID⌱⚗\±²ᐳᨵ7⚗ᨬdÔ⚗¬⚗¹ᦪᨬᜧᨬdÔM¼4⚗ᡠO±²d¬⚗¹ᦪᨬᜧM¼4⚗Dᦑ⌱\AD12.(2021•ᐰÖ•×Ø⚜Ú)᝞Û⍝X«ÝÞᑣßᡠà.ḄáâãM“åáâæXḄᡠᨵ)ç,MX1,x.........x„,Çp(x,)>0(i=l,2,…,஻)Ip(x)=l,XḄ“åáâ”M2r=l/(x,>-10gp(x,.).éêm¥¢Ḅëì¯AM“í.îm2”8M“ïË.îm5"2CM“.îḄmᦪºq}Ꮤᦪ“ᑣ()A.Fp(±)=lG“åáâஹ”/(ᓰ)=0B.Fp(xJ>p(X2)>0G/(x,)>/(x)2C.CḄ“åáâ”/(C)=lD.AḄ“åáâ”/(4)ᜧò8Ḅ“åáâ”(8)ூᫀ௃ACDூᑖ᪆௃᪷ô⚪dᩩᵫ¾ᦪõ)-AI᪷ô¾ᦪöᦪḄᓫøឋ)-B┯I᪷ôúᐺᭆüḄᭆ᳛Ñ.(0,-ᑮ/(C),ᓽ)ᑨCI᪷ôúᐺᭆüḄᭆ᳛ᑖzÑ.ABÝÞḄᭆ᳛-./(ভ/(B),ᓽ)ᑨD.ூDE௃A⌱⚗Fp(x,)=lGZ(x,.)=-logl=0,ᓽAI2B⌱⚗LM¾ᦪöᦪy=bgzX}öᦪᡠOy=TogzX}öᦪILÉFp(xJ>p(X2)>0G

145-kg2PxJ<-Iog2Pz
,ᓽ/2+4,2+6.3+1,3+3,3+5,4+2,II,4+6,5+115+3,5+5,1O16+2,6+4,6+6ᐳ18
KljPC=—,ᡠ/C=-log2PC=l,ᦑC!362D⌱⚗$A“%&2”,ᡠᒹḄ
ᨵ:2,1
,2,3,2,4,2,5,2,6,1,2,3,2,4,2,5,2,6,2ᐳ10
B“()&5”,ᡠᒹḄ
ᨵ:5,1
,5,2,5,3,5,4,5,5,5,6,1,5,2,5,3,5,4,5,6,5ᐳ11
ᡠ*/=-=.$PB=/,ᑣ1ভ1345ᓽD!;ᦑ⌱ACD.3618368ஹ:;⚪13.2021•ᓅ?@ABCDEF᪥HI8JCK2008L?MN▭PQERS⃩UV$IPᙠXYZL[\]^_$`ᙠabcdefghCijḼelm⌕Ḅo⁐.rs2009L(2016LIPS⃩t[uᦪḄᢚwsssCḄᦪxᙳzL12ᨴ31eḄ|}~.᪷xrᑡ~C$ᡠᨵ!~Ḅ—জ2015L&L,IPS⃩[uᦪX0.5[ঝ2013Lᑮ2016LIPS⃩[uᙳ᳛ᜧ2010ᑮ2013IPS⃩[uᙳ᳛ঞK2010L(2016L$IPS⃩[uᦪᨬḄ&L2014LটK2010L(2016L$IPS⃩[uᦪ⌲L⌴用白月照HH理,ூᫀ௃ঝঞ

146ூᑖ᪆௃᪷xᦪxᢚws$ᑖ¢£¤ᑨ¦ᓽ§.ூ¨©௃জª2014,2015L°±Ḅ²ᙶ᪗µ¶2-1.5=0.5,ᦑজ┯¹ঝºw»¼2013Lᑮ2016L¿ºwÀ᳛Áᜧ$ᦑঝ!ঞ2013Lᑮ2014L¿²ᙶ᪗µᨬᜧ$ᦑঞ!টªÂòᙶ᪗µᔲ⌲LÅ$ÆᯠÈ$ᨵᨵÉ$ᦑট┯¹ᦑÊᫀঝঞ.14.2021•ÌÍ•ÎF&CI8JCÏ᪥ÐÑᐺÓᵫ7⁚×Øᡂ$ὃ⇋᦮Ýᦔ$°⁚×jßᨵ᝞r⌕á⁚×ᵬãä᣸ᙠæ8ç$è⁚×éஹêãä᣸ᙠ&ë$ᑣì᣸íᫀᐳᨵî.ᵨᦪðñÊூÊᫀ௃624ூᑖ᪆௃òᵬḄçó$ôéêᣊöᙠ&ë$ñ&ᐗø᣸ᑡ᣸ᑡᓽ§á©.ூ¨©௃ùᵬᙠ✌ç$éêᣊö$ûᵫ᣸ᑡ$ᐳᨵüý=240ùᵬᙠAþç$éêᣊö$✌çÈÿ
ᐳᨵ4/=192ᵬᙠ
ᣊᑖ

ᐳᨵ+!=192"#ᐳᨵ240+192+192=624.ᦑ(ᫀ#624.15.2022•+,•-.⚜01202127ᨴ156!ᐳ78ᡂ:100ᕜ2<=ᡠᙠḄ@᪥BᜓDEFGHIJ#KLḄ“@NON᰿8᰿!”RSTUVW.XVWFᐳὃZḄRS\ᨵ10✌ᵫ_7ᨴ@ὃ`a,c#dW⌱fḄ<=gᨵhi@jᐰlRSmno᦮@qrᐸ6Ḅ8✌.uO<=o᦮@qḄRSᡂvTwḄᭆ᳛#0.9,gᨵo᦮@qḄRSᡂvTwḄᭆ᳛#04zWFᐳὃZ10{R|}{R|⌱~ḄRSᙳὃZ\ᑁḄRSὃZRSḄᭆ᳛ᙳ}✌RSᙳHὃZ.O}(F{R|10ᑖ(┯ᡷᑖ.<=ᑖXᑖᑣx>201=___________ᵨ“Ḅ⊤1Ex1b41ூ(ᫀ௃1-80ூᑖ᪆௃ᵫ⚪¢£¤}{R|(Ḅᭆ᳛#g,ᯠ¦<=§(10{R|(Ḅ¨ᦪ#y,ᑣª~,ᯠ¦ᵫ¬⚗ᑖ®ḄO¯(ᫀ.89244ூ°±௃ᵫ⚪¢}{R|(Ḅᭆ᳛#ᜓ²²1=³<=§(10{R|(Ḅ¨ᦪ#y,ᑣª~810,µ1ᡠHpxz2o1=i-py=i1-pa=o1=iyµ»-¤=12

147"#E(y)=10xg=8,ᡠH£(x)=10E(y)=80ᦑ(ᫀ#½M8016.(2021•¿À•Á□¬6-.⚜0)ÄᑡÆÇÈÉḄজËᦪy=/(l+x)Ëᦪy=/(l-x)ᐵ_ÍÎx=lÏঝÑ4BஹCÒ:,ᑣP(᝞"C)=P(/)P(B)P(C)ঞÖ×d=l(xeCᐸ6C#ᦪØ)Ḅ±Ø#{1}®\ABC,ÙAḄ᜜ÙᑖÎÛ8cḄÜÝÎ_Þ஺ᑣ{=àACCDঠâãᨬ<¬åÇH-æy=c*ç.ᔠFéᦪêhOy=c/ãÞG3)ডâãᨬ<¬åÇH-æy=c*ç.ᔠFéᦪêh#ìí¤§îÖ×z=lny,ïᐸðᣚ¦ᑮÎឋÖ×z=0.3x+4,ᑣc,ôḄõᑖö/÷0.3.ঢOÞ42,1)1(3,2),஺#ùÞᑣᔣûÖᙠᔣûüwḄᢗþḄᦪû#8ÿ13ூᫀ௃টডঢூᑖ᪆௃ᵨᦪஹᭆ᳛ஹᦪஹஹឋஹᔣᑖ7⚪ᑨ!Ꮇᓽ$.ூ&௃'জ)ᦪy=/(i+x)*y=/(i-x)ᐵ'-x=o..ᦑজ┯1;'ঝ)P(ABC)=P(Z)P(8)P(C)ᡂ5Ḅ78ᩩ:;“AஹBஹC<=>5"@AᵫAஹBஹ஺DD>5EFGHAஹBஹC<=>5.ᦑঝ┯1;'ঞ)J=l(xeC)ḄᨵM)%=1,x=N+Pj,QᳮSᦑঞ┯1;2222'ট)ᙠV@ᵫWXYᳮGZ=[Ἥ@ᙠ]48V@ᵫWXYᳮGBDsin/BAD^஺sin/HOCsin/ADBABACABBDnn`⚪asin/BAD=sinZ.CAD=CDsinZ.CADsinZ.CADᡠc=A'7CCDᦑটWe;'ঠ)gz=lny,ᑣ2=i+111஺@ᵫᨬklmnᳮz=Ax+lncopq,z),A_]—2=Q(111%+111%+—+ᔊ”)y+ᦑঠ┯1zn'ড)gz=l”,ᑣ2=i+111஺@`⚪a$|=0.3,lnc=4ᓽc=/.ᦑডWe;

148,ஹQ@ஹOAOB885/13'ঢ)0/1=2,1,08=3,2,ᑣᙠḄᢗ=A=E~.ᦑঢWe.ᦑᫀ)টডঢ.ூp௃1ᦪ”XVxeR,ᨵ/a+x=71-x,ᑣᦪ/*Ḅᐵ'x=a.)2ᦪy=/a+x*y=/a-x,ὅᐵ'x=0V¢..£ஹ⚪17.2021•¥¦ḕ¨©VªQ«2020¬᧡ᜩ¯Ḽ±²Ḅᨵᦔ´ᑴ@¶Mª·¸¹º᪥¼ª½.¾¿Àª·Á⚶ÃḄÄÅ᣸ÇÃÈ@ª᪥Éᚪ˼ÌÍÎ@ÏᜩVᓤÑ8ÒAஹ8DÔᝅ⚶ÏÖÏ×ØF21⌱ÚᐸVQÔ@ÜoÝÞᑖ᪆ßà)ª·áQᜩ⌱ÚAâᝅ⚶Ḅᭆ᳛ãஹ⌱Ú8âᝅ⚶Ḅᭆ᳛§.A137Qᜩ⌱Ú¾Aâᝅ⚶áᜩ⌱ÚAâᝅ⚶Ḅᭆ᳛:ஹ⌱Ú8ᝅ⚶Ḅᭆ᳛=z7Qᜩ⌱ÚBâᝅ⚶á44ᜩ⌱ÚAâᝅ⚶Ḅᭆ᳛3ஹ⌱Ú8âᝅ⚶Ḅᭆ᳛è;᝞êë.ìíîªá஻ᜩ⌱ÚAâᝅ⚶Ḅᭆ᳛¨P”.1ðñᦪᑡóô;õᦪᑡ@ö÷ᦪᑡó£ùḄú⚗üýz2ì¶MíþÿḄ3ᙠᜩ⌱Aᝅ⚶ḄᦪX,XḄᑖᑡ£X3!"#$%Ḅᦟ$'.┐*+,-Ḅ./01*23ᨴ5᪥78-ᑭᵨ;<=>?@AὅCDE/*ᐸGᨵ20K-LMᐰOᑖPᝅ⚶.᝞RST7U*᝞VW᣸ᑖPAஹ8ᝅ⚶ḄḄᦪᕖ*\]ᳮᵫ.ூaᫀ௃Ie]fg᪆*ᓃj2ᑖᑡfg᪆*13Aᝅ⚶Ḅ8*8ᝅ⚶Ḅ12ᳮᵫfg᪆.ூᑖ᪆௃1l⚪0nop=ᓃ'+1-ᓃx,᪷w⌴yᐵ{ᓽ}e]~ᓃ-Tᦪᑡ*ᑭᵨᦪᑡ⚗n~ᓃ-|⚗*ᓽ}n~2Ḅ⚗2l⚪0nᜩ⌱Aஹ5ᝅ⚶Ḅᭆ᳛*ᑡXḄ}*ᔠ⚗ᑖnᑖᑡᦪ3ᵫ~£Ḅ⚗n”*᪷wᦪᓽ}nᑖPAஹBᝅ⚶ḄḄᦪ.11212ஹூg௃1l⚪0*ᑣw=—w224f2141¡஻=1<*}n6-¤=¥*ᦪᑡ-¦T✌⚗R-1Ḅᦪᑡ.ᓃ¨3©1•

1492
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=CG
ᐔ=0,1,2,3
,..XḄᑖᑡX01238421P279927^£,X
=0XA1X-+2X-+3X—=1.+2799273
ᵫ1
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151I>ᦈᐭA0II>ᦈᐭA0R&ᵬ3060902090110R&50150200êë“2(30X90-20X60)2X200200/;WY-------------------=——°6.061<6.635,50x150x90x11033ÙÔᨵ99%Ḅ\]^=“n>ᦈᐭA0aᨵᐵ.(2)জᡠ"#Ḅ200Ḅᨴ⚣᳛ᑖ⊤᝞4:ᨴ/[2000,3000)[3000,4000)[4000,5000)[5000,6000)[6000,7000)[7000,8000)ᐗᦪ203644504010⚣᳛0.10.180.220.250.20.05ᡠó஻=2500x0.1+3500x0.18+4500x0.22+5500x0.25+6500x0.2+7500x0.05=4920.£=ô200ḄᨴX᝱ᑖN(஻,MOO),ᡠócr=1400,Ù஻-2b=4920-2800=2120.£=E«Ḅᨴ=2500ᐗ஻-2cr=2120,ᡠóE«9¯÷,”Ḅø.ঝᵫজ©"=4920,ª«Ḅᨴ=2500ᐗ:;4920ᐗᡠóª«À»¸ᱥᑶÙ)ÀÁḄ»〈RÃÄúḄã=200,300,400,500,600,ᑣP(r=300)=C^x1xl=l,P(r=400)=-xl+C±xlxl=—3322618P(y=500)=C'x-xi=l,2369p(r=600)=-x-=—6636

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,ᑣÑÒÓÔXḄᙳÛ~10,AQ<ÑÒÓÔXḄ^Ü~100,᪗éÜ~10,BQ<ᵫQ᝱ᑖÙḄGëឋÐ"P`X>10b=<,CQ1,DQ.ᦑ⌱[ACD10.2021•ᐰí•qr⚜tbᨵ@᪵ïᦪ§a"ðb"`X2,%b,…"ᵫñ@᪵ïᦪ§ᑮḄóôõö^°~"=3x+&,ᑣ`bA.ᡠᨵ᪵ï÷ᙠóôõö᜛=ú+3û"ᑣ᪵ïḄüᐵ}ᦪ=1B.x'=,_/=2ð"ᑣj/=6x'+஻`i=1/=1C.᪵ïᦪ§`X2,%bḄþÜ~f,ᑣÿᨵ᪵ᦪḄTD.A?1,ᑣ/=+0Ḅ⚜ூᫀ௃BDூᑖ᪆௃ᵫ!"#$%᪵&'ᔠ$%)ᐵ+ᦪḄᐵ+ᑨ-A.ᵫ᪵/0ᙠ!"#$2ᑨ-B.᪷ஹ)ᐵᢣᦪḄ6▭89ᑨ-CஹD.ூ:;௃ᡠᨵ᪵&=ᙠ!">?/=@+&2BC᪵ᦪᕈE)ᐵFB)ᐵ+ᦪr=l,C᪵ᦪᕈG)ᐵFB)ᐵ+ᦪ/*=-1BA┯J.1n11n1ii!">?K=L+&MN᪵&Ḅ/0OBᑓBᐸ/R=—Bx,=—x',T=—»,=-VBᡠX2y=£x±£+a,n஻஻nnᓽy'=^'+[BBE\.᪵ᦪḄ]^-_Bᐸ`᪵ᦪḄaḄᜧcdMᯠὶ+BC┯J.g1,hi!j>?y=k+0Ḅ'ᔠᦔm]BᡠXK=n+oḄ⚜BDE\.ᦑ⌱sBD.11.2021,ᐰuᐰu•w'⚜xyz1+2x
+l+2x?+...+z]+2{”=a+ax+ax2+[••+ax"nwN*,q=42,0t2nᑣ}ᑡ/E\ḄzyA.4=6B.a“_|=192C.=1092D.^-iyza,=-6i=0i=]ூᫀ௃ACூᑖ᪆௃ᵨaB᪷⚗Ḅ⚗BᔠᦪḄឋ⌲ᑨ-ᓽ{.ூ:;௃⚗஺+2””Ḅ⚗sR="ñ.z2xY=C.BB

165(l+2x)+(l+2x)~+…+(l+2x)”=a()+ax+ax2+•••+axn(஻eN")}2n4=42,ᡠX2(1+2+…+஻)=42,2ᙠ=42n஻=6ᡈw=7.x=0,{%=6,ᡠXAE\.{%=%=r+Cফ=224,ᡠXBE\;6x=l,{Zq=3+32+…+36=1092,ᡠXCE\.?=0¢(l+2x)+(l+2x)'+…+(l+2x)6=40+஻/+஻2£2+…+¥£6U¦§¨FB2[1+2(1+2%)+3(1+2^2+...+6(1+2£)[=6+2%"-+6஻69Bx=-l,{£(-1)'X=-2(1-2+3-4+5-6)=6,ᡠXDE\.ᦑ⌱sAC./=1ூ&ª௃ᐵ«&ªsᵨ;⚪Ḅᐵ«.12.(2022ᐰu•R⚪®¯)}ᑡ°⚪/BE\Ḅ°⚪()A.±²³´µ¶·¸8(஻,0,¹º)=30,஺(»=20,ᑣp=sB.¼½ᦪ/Ḅ¾¿ᦪ=À2¨¿ÁᦪÂB#ឤµsC.ij´µ¶J·¸E᝱ᑖÆN(0,l),TÇ>l)=p,ᑣP(_l1)=p,ᑣT(J<-l)=p,ᡠXT=ᦑCE\;2P(X=k)C,V0.8A-O.210-*W4஺°-");áM4â,ã2eZ,ᡠXk=8,P(X=k+\)~C,V-0,8*-1-0.2"-*K4(li)>[55ᡠXCX=8FBᭆ᳛ᨬᜧBᦑDiE\.ᦑ⌱sBCDRஹäå⚪13.(2021•æᓅèé•w)É/êë;êìḄᦪêê¯íîBᙠ3000ïêì/³´ðñ200ïBòóôõ200ïêìḄÉËᦪêὃ÷ᡂùBᑮë᪵Ḅ⚣᳛ᑖÆ>#üB᪷⚣᳛ᑖÆ>#üBýxõ3000ï

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190ḄᱥCᙠpᜐḄᑗᙊᑗᑗ!"X$%஺'(ᙊḄ)ᩩPNᑗN"x$%7,.IFQHEPI,45”Ḅᨬ89.ூ<ᫀ௃ⅉூᑖ᪆௃B=஺,ᑖ᪆Ctan"H,IᔠK᪷MᱥḄNOឋQ⊤SC|U|ḄVW,ᓽYZ[ᨬ89.TTூ\]௃ᵫ⚪HBN஺=6,|஺|=|aᡠzZQPF=/TPF=6,4PTF=ᐔ-39<Û0<9",sin3,=sin2஻+᜛=sin20cos0+cos29sin஺=2sin0cos0cos0+cos20-sin2=3sin0-4sin30BP5,K|=n|,%?+/஺22ᱥ▲Ḅqᦪ]᪆sy=26,y'=xTᡠntane=7<6,/>ὡ,|PT}ᵫ~ᳮ:sin(3஺)sin஺/+1ne1sineH+1j+1(sin2+cos20^+tan26)sin303sin0-4sin303-4sin203cos20-sin203-tan26>23/4=>-j=,/«>0,|+427*,++321ஹ+32]□஺='136ImJ361Nm]9஻?=16[.ᦑ<ᫀHy15.2022•£¤•¥¦⚜¨©ª«ᙊGHE+ᱏ=1,®¯C,:ᱏ-°=1±mn16251.«ᙊḄ²⚔C,«ᙊ²ᨵ48¶·A4C5¹ᑖºn஺»ஹC¼½⚔ḄῪ¼½¿½Àᑣ«ᙊGḄÂÃ᳛¹;2GGÆᨵ""UU஻ÇÈÉ.ூ<ᫀ௃⌭^0

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2242.(2021•yz•Ë┱ÍᦟÏÐÑẆJ▾b~)ᦪᨵÉᨵvÊR?ᑣÓᦪ4Ḅ()A.4B.2C.-2D.-4ூᫀ௃Cூᑖ᪆௃,Õᔠᩩ×ᑡØÙÓᦪÚḄ.ூÆ௃Û,ᑣ/.ᦪg(x)=ex+e"+/cos஺xᏔᦪᦑᦪg(x)=ex+e~x+4cos஺xḄ:;ᐵ=|@A,äᦪḄ:;ᐵ=x=0@Aᦪ/(x)Ḅ:;ᐵ=x=2@A,7TX71Ûᦪf(x)=ex-2+e-2+sinᨵÉᨵvÊR?,A~T~~67TX71ᦪ/(x)=el+e-2+/sin~T~~6I|.AIIᦑ⌱:C.3.(2021•yzð•b~)³¶?||ñòóḄᩩᑗᑣ()C.D.ூᫀ௃Cூᑖ᪆௃ôᑗ?,¾ᑗ,ᡠñᑣI|+g(x)=:+lnx-l:;ᨵÊö?,LM÷eᵫᓫ)ឋGøᔠ⚪i£IIe,ᵫùᦪᑨû||Ḅᓫ)ឋñᨬ,ᦪüÕᔠᓽ.ᵫy=lnxuj■□ᑣᑗூÆ௃ôᑗ?(%,%),(/Jo)ᙠᑗᡠlnxo-b=—(X஺஻)ᡠ6=#+111%-1,()(a,6)+,-y=lnxḄ0ᩩᑗᑣb=—+lnx0-1ᨵ04X஺5g(x)=?+lnx-l,+ឤᡂ>?;g(x)=£+lnx-lᙠᓫB⌴D,8aVO;,

2256=g+111%-1EF4ᡠ“SOIJᔠ⚪M,X஺8஺>0;ᵫ+||Qᵫ+RSI;ᡠg(x)=(+lnx-lV||ᓫB⌴W,ᙠ||ᓫB⌴D,ᡠ8□XYZ□;g(x)=£+lnx-lXY[RS)\8xXYZ+8;g(x)=2+lnx-lXY[T8\ᡠ(᜛=bag(x)=£+lnx-lbcᨵ0de+"1ᓽ|ᡠ()(஺,6)+,-y=lnxḄ0ᩩᑗᑣ0,ᑣ|wᦪR}ᙠyz஺"~wᦪ''.ᦪᦪF(I|Ḅdᦪ,wᦪ“X)ᙠyz(a,6)“~wᦪ”ᑣIߟIḄᨬᜧ()A.4B.3C.2D.1ூᫀ௃Aூᑖ᪆௃ᵫ⚪5M|41,ᙠᨵឤᡂ>ᓄ--wᦪᙠIIឤᡂ>xḄ,¡¢£b-aḄᨬᜧ.—ூ¤4௃ᵫ⚪5,ᑣM¥41,ᙠ(஺/)ᨵឤᡂ>¦h(m)=-mx+x2-6<0®-l,,+-2ḄXḄµ()—A.B.C.D.ூᫀ௃Aூᑖ᪆௃ᐜ᪀⌼¹wᦪ||º){»¼ᔠᩩ½+ᑨ¿À”%>0;||,8||;ᨬÁᑖÂÃ4IÄÅ+Æᫀ.

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2289.(2021•!ᓭ#•$%▤'())+,-ᦪ./஻l-x)=/(l+x),8xw[l,+8)<=/(x)=d,ᑣ()A./(0)=0B.CDEḄFᦪ஺=HᨵC.஻l+x)JᏔ-ᦪD.MN/(x+l)<஻3)ḄQJ(-1,3)ூᫀ௃BCூᑖ᪆௃ᵫCVឋXᑨZA,ᵫᓫ\ឋ]ᔠ_`MNXᑨZB,ᵫ-ᦪab᜻ᏔឋḄCVឋXᑨZC,ᵫᓫ\ឋXᑨZDூ௃ᵫ⚪EX,=Cd⌱⚗A,fJ஻l-x)=/(l+x),ᡠh-ᦪ/(x)ᐵdijx=lCV=ᑣ஻0)=஻2)=8,ᦑ⌱⚗A┯noCd⌱⚗B,fJxe[l,+8)<=-ᦪ/(x)=Yᓫ\⌴s=ta+=8tv8஺=2/(-x),ᑣg(x)஻x)Ḅᓫ\ឋ¢C./(X)ᙠ0,yᓫ\⌴sD./(X)ᨵtᨵ¤ூᫀ௃ACDூᑖ᪆௃ᑭᵨ/(X)Ḅ§¨=ᑮ/'(0)>0,«¬ᙠ{-o,0),¯/''(/)=0,]ᔠ-ᦪ᩽Ḅ°±ᓽXᑨZ⌱⚗A,²g(x)Ḅ᪆N=ᯠ´ᑭᵨ¨ᦪẆ¶ᐸᓫ\ឋᓽXᑨZ⌱⚗6,ᑭᵨ-ᦪᓫ\ឋḄ]¹ᓽXᑨZ⌱⚗C.ᑭᵨ-ᦪ/5)Ḅ᩽ᓽXᑨZ⌱⚗஺.ூ௃ᵫ⚪,=,rW=2x+cosx,/V)=2-sinx>0,ᡠh/'(x)=2x+cosxᙠRᓫ\⌴s=8x=0<=/À=1>0o8x=-g<=/{-1)=-1+COS1<()=ᡠhᙠÀ(o=°)=¯/'(%)=°=ᡠh-ᦪ/஺)=/+Çᙠ(-<»6)ᓫ\⌴É=ᙠ(%,Ê)ᓫ\⌴s=ᡠh/(x)ᨵtᨵ᩽=ᦑA11()

229ofJf(-x)=x2-sinx,ᡠhg(x)=/(%)•/(-x)=x4-sin2x,Wg'(x)=4x3-2sinxcosx=4x3-sin2x,ᡠhg'(0)=0,ᦑg(')Ḅ᩽J0,ᡠhg(x)Ḅᓫ\ឋ¢=ᦑB┯noJTTTfJ)==.rH_y=sinxᙠ0,-Hᓫ\⌴s=ᡠh/(x)=/+sinxᙠ0,-ᓫ\⌴s=ᦑCofJf(x)ᨵtᨵ᩽%,€(-o,()Ít/(0)=0,ᡠh“X)ᙠ(YO,X஺)Î(஺,+8)ᔜᨵ=ᡠh஻x)ᨵtᨵ¤=ᦑD.ᦑ⌱ACD.11.(2021•ÐÑᜧÓ•$%Ô)+,-ᦪ/(x)=QJ_+inN=ᑣᑡḄ()A.-ᦪy=/(x)ḄØÙᐵdyÚCV=tᙠÛÜ(o,+8)ᓫ\⌴sB.-ᦪy=/(x)ḄØÙᐵdyÚCV=tᙠÛÜ(0,+8)ᓫ\C.-ᦪy=/(x)ᙠÛÜ(0,o)ᑁᙠD,-ᦪy=/(x)ᙠÛÜᑁᙠூᫀ௃ADூᑖ᪆௃஻x)=eஹ+J-2+ln|x|,ᯠ´XᑨZᐸ᜻Ꮤឋ=ᑭᵨ¨ᦪXᑨZ/ß)ᙠ(0,+s)Ḅᓫ\ឋ=ᵫ/(g)ஹ/পḄáxâᙠ°ᳮXᑨZCD.ூ௃fJ஻ᑗ=å4+1æ|=᮱+92+1I=ᐸ°±êJëoᡠh/(-x)="+=-2+ln|M=/(x),ᓽ஻x)Ꮤ-ᦪ=ᐸØÙᐵdNÚCVo8x>0<=/(x)=e'+J-2+lnx,/0)=/-5+>0,ᡠh/()ᙠÛÜ(0,+“)ᓫ\⌴sofJ/($)=y/s+—^=—2+In—=->fe—2+-^=—In2<0,=----2+1>0oᡠhᵫᙠ°ᳮX=-ᦪy=/(x)ᙠÛÜ(o=1)ᑁᙠ=ᙠ(0,o)ᑁñoᦑ⌱AD12.(2021òᓄ•$%▤'())-ᦪ/(x)=«-+ln+xx>0=ᑣᑡõ]¹Ḅ()-cosx,x<0A.-ᦪ஻x)Ḅᓫ\⌴ÉÛÜßö1)B.-ᦪf(x)Ḅêß1,+8)C.-ᦪy=஻x)-xᨵtvᨵ¤D.CDE¤¢MḄFᦪ÷=ᓰ=ù/(ú)=/(£),ᑣᓰ+%>2ூᫀ௃BCD

230ூᑖ᪆௃ᑖx>0x40ᑭᵨ¨ᦪẆ¶-ᦪḄᓫ\ឋXᑨZAoᵫᑖ'-ᦪḄê²/(x)ḄêXᑨZBoᑖx>0x40ᑭᵨ¨ᦪẆ¶-ᦪḄ=«¬ᑮ/(x)ḄᦪXᑨZCoᵫ-ᦪḄᓫ\ឋᐜᑨZ0<%<1<%=ý"(x)=/(x)-/(2-x)(0/(2-x)=÷]ᔠᓫ\ឋᓽXᑨZD—+lnx,x>0\1i\11x-1ூ௃-ᦪ/(x)==x,x>0<=/(x)=—+lnx,J(x)=7+—=——/z\ᐭXXᐭ-cosx,x<00l"r(x)>0,ᦪ“X)ᙠ(1,+8)$ᓫ⌴%"/(x)>/(l)=1.x40"஻X)=-COSXᙠ,-,0.$ᓫ"/(0)=-1,ᦑᦪ/(X)ᙠ,00.,(0,1)$ᓫ"ᦑA┯.x>0"/(x)=—+lnx^l,x40"-1W/(x)=-cosxW1,xஹ+lnx,x>0Ḅ9:;,.ᦈ)"ᦑB=.ᦑᦪ/(x)h-cosx,x<0—+lnx-x,x>0/ஹ@A>ᦪg(x)=/(x)-x="x,xWO"g(x)=-cosx-x,g(x)=sinx-l<0,-cosx-xx<097tg(x)=-cosx-xᙠ(-8,0.ᓫ⌴"g(o)=-l,g~2ᦑx40CᙠDEḄFeEH0,^(xo)=-c0sxo-xo=024x>0"g(x)=-+lnx-x,11,x2-x+\xgW=---i=—1”7+g(x)=g+lnx-xᙠ(0,+s)ᓫ⌴"JKᨵgপ=0,ᦑx>0g(x)CᙠDEḄENOP,—+lnx-x,x>0ᦑg(x)=/(x)-x="X,ᨵJKᨵQNOP"ᦑc=.-cosx-x,x<0=RSQNTUVḄWXᦪᓰ"Z"/([)=/(஽)"x>0"஻x)=g+lnx,r(x)=-g+g=*0l"r(x)>0,ᦪf(x)ᙠ(1,+8)ᓫ⌴%_0<`ᦪf(x)=஻x)-/(2-g)(0

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234ᡠ&oᔠn¦ᨵ¨ᦪ©ª᦮ᦪxoX//(/)<“ᦑs¢£⚪¬.஺<1,ᵫ.¦~஻(x)=axᙠ4{4®¯¢£ᩩ¥Ḅ᦮ᦪ°±ᨵ-112_±_n----011r11,1,,e21ᡠ&¢£ᩩ¥Ḅ஺Ḅ^_ᦑ6ᫀki=e=-=—geLe2et-1-0e--20-0ne²ஹx6⚪17.(2021•³´•ᜧ¶·¸B¹DEºB)»¦Kᦪ/(x)=cos%+ax2.(1)~஻h/(x)Ḅ¼Kᦪ/(x)ᙠq%3Ḅ½ªᦪ8(2)Rᐵ¿xḄstucos(2sinx)+"2jc244/1X)ᙠÀ3ឤᡂrhÃᦪ஺Ḅ[\^.ூ6ᫀ௃(I)3ª(2)[1,+8)ூᑖ᪆௃(1)oᔠÄ▤¼ᦪஹ½SᙠឋÆᳮᩭh/¼Kᦪ/'(X)ᙠ3Ḅ½ªᦪ.(2)ᑭᵨᣚᐗÍÎÏ⚪Ðᓄ஺32/4°(1-Ò)Ó[-1ÕឤᡂrÖf×ØᑖÙÚÛoᔠᑖÜÝᦪÍஹ¼ᦪh/஺Ḅ[\^.(1)/(x)=x-sin2x,"(0)=0,ᡠ&x=0_/'(x)Ḅª½.4-g(^)=-^-sin2j;^0

235/'(X)_᜻Kᦪᡠ&/'(X)ᙠæç3èSᙠU½%.23/'(X)ᙠ-3ᨵ3ª½.(2)stucosQsinxHa?—4qf(x)ᙠR3ឤᡂrᓽstucos(2sinx)4acosïឤᡂr.fsinx=feð-l,lñ,ᑣtò¿stucos2Ta(l-»)……(*)ឤᡂrজR/=ñ,ᓽ/=±1stu(*)÷ᯠᡂraeRccq2/ঝRstu(*)tò¿1-rJW)=úû•(-let<1),஻প_ᏔKᦪ~04/<1/(/)='c°s2-(ð)sin2fñ.1-f(1-Z2)2f0(/)=£cos2f-(l-7)sin2«0Wf<1),ᑣ“«)=(2/l)cos2f,0«<1,•.•“1=0,d=0,0<q

236-34x<-2ᡈ00,20,+>c2ÃÄRVxe9-3,3,஻(x)>0ᡂ6ᓽÈ*)>0,HIɺᙠ9-3,3%ᓫ'⌴+,3Q273927/U)„=/(-3)=/«=/(3)=3e3--,ᡠ2?ᦪᙠ/3,3ḄGÄ9ÏÐ,3Ñ-».mimMezzenz(2)ᵫ(1)g(x)=ex-^x2+3x+l,^_Rg0d>0,ᓽ9(x)ᙠ(-8,0)%ᓫ'⌴),ᙠ(0,m)%ᓫ'⌴+,ᑣ᜛(x)min=*(0)=4>0,ᓽg'(x)>0,ÃÄRg(x)ᙠR%ᓫ'⌴+,¹F(x)=g(x)+g(-x)=e*+e'x-x2+2,^_RF'(x)=ex-e'r-2x,¹G(x)=e'-e'v-2x,ᑣG'(x)=e*+e--222Je'•b-2=஺×x=0dTᓽᨵG(x)ᙠR%ᓫ'⌴+¿G(0)=0,ᓽx<0dF'(x)=G(x)<0,x>0d,Ù'(x)=G(x)>0,HIÙ(x)ᙠ(7,0)ᓫ'⌴)ᙠ(0,+8)%ᓫ'⌴+,F(x)=F(0)=4,ÃÄRVxeR,g(x)+g(-x)N4,mjnᵫÚ+஽20R᳝2-ᓰÃÄRg(X1)2g(-%)og(X1)+g(Þ2)2g(£)+g(-X2)24,ᡠ2ᓰ+920dg(xj+g(x2)*4ᡂ6.ூZ[௃àá°±ឤᡂ6â⚪ãäå°±°æçᓄ᪀⌼?ᦪé?ᦪḄឋ²Änêâ⚪Ḅᐵì.19.(2021•op╋o•wxyt)?ᦪ஻x)=lnx,g(x)=kx2-2x(keR).(1)îy=/(x)ᙠx=lᜐḄᑗòóÄy=g(x)Ḅᑗò^ZḄG(2)îxe(0,+8),/(x)Vg(x)ឤᡂ6?^§Ḅᨬõ᦮ᦪG.ஹQூᫀ௃(1)-(2)74ூᑖ᪆௃(1)ᐜᵨ_ᦪa^RN=/(x)ᙠx=1ᜐḄᑗòé᪷úy=/(x)ᙠx=1ᜐḄᑗòóÄy=g(x)Ḅᑗò,ãᑗòûüýy=g(x)ὶ6,ᑭᵨᑨ
:(2)஻=g(x)-“X)=-2x-InX,Xe(0,+8),஻x)4g(x)ឤᡂ!ᓄ#$22+ᙶ&xe(0,+oo)ឤᡂᑭᵨ*ᦪ.XX(1).#/ᦪ/(x)=1nx,ᡠ23x)=Lᑣ31)=1,/প=0,X\y=x-\ᡠ2y=/(x)ᙠx=lᜐḄᑗ=>?#y=x-l,ᵫ1=A2_2CDE2-3x+I=09.#y=/(x)ᙠX=1ᜐḄᑗ=GHy=g(x)Ḅᑗ=ᡠ2A=9-4«=o,D

237(2)%(x)=g(x)-/(x)=Ax2-2x-lnx,.#xe(0,+oo),/(x)Vg(x)ឤᡂ,ஹ2Inx.ஹj.q,N/ஹ2Inx.2l-21nxl-21nx-2xᡠ2—+—&xeZ(A0,+8)ឤᡂ9(X)=—+FnOx=—P+——R—=-----s-------rXXXXXXX2(x)=l-21nx-2x,ᑣ/(x)=-ஹ-2<0,ᡠ2r(x)ᙠ(0,+s)S⌴UVW(1)=-1<0,,{X)=1+2-j>0,ᡠ2YᙠZ€(,1),ᨵW])=0,ᓽ”(*=0,.#9(x)ᙠ(0%)⌴aᙠ(X஺,+8)S⌴Uᡠ29(x)4*(xo)=2+cX஺d0/\2l-2x110V-2/=0,ᡠ2஺($)=—+2=—+5~>d0ZXQ᳝)ZXQy=1+7^7ᵫ][1,1],Dᡠ2e(x)2*2X|X2>r.eூᫀ௃z1wᓫ~aHz,+8w,ᓫ~UHz0,%
2
᪆ூᑖ᪆௃z1
{஺=0|-/'x
=lnx+2,ᔠ*ᦪᑨ/ᦪᓫ~ᓽR2
.#,஽H/ᦪx.lnx,-axf+x,=0,xlnx-ax}+x=Q,ᑖD஺=᝛'+'=^+,2221^2^^2x=t
t>2,᪀⌼lnxWz
,¤ᣚᡂᐵ§fḄ/ᦪ⊤©
ªz஺«¬"প®ᨬk¯°D.2Xl(1){”=0|/(x)=xlnx+x,./(x)=lnx+2,_T(x)>0Dx>4,±(x)<0D0cxe[,.•/(X)Ḅᓫ~aH(5,+8),ᓫ~UH(0,2)(2)/(X)ᨵ,rl/lijx^nx,-axf+x,=0,xlnx-ax]+x=Q,Da='”+^~=᝞2+2.222It^2*/x>2x,>0,/=´«>2),ᑣ+—=µ)+—,DInX]=--1,2X[X]tx/X|t-\{i¶\iiHnz.1/\τ,Imit

238t,(E+l)lmOniijlllux?=In(¸J=In/+Inxj=~-],In(¹d2)=lnV|+Inxj=-__1H------_1=------j-----2.v(7+1)In/.—2Inz+/—Mz')=TPP2(“Fᑣ/=_________L"17”1)2S(/)=-2hU+f-R(f>2),!)IIJ^(/)=-|+ll=^^l+>0,

2393ᙠ(2,+8)Sᓫ~⌴ae(t)>0(2)=5-21n2>0..•"'(0=’?>0,ᑣªপᙠ(2,+½)Sᓫ~⌴a888.,./?(/)>A(2)=3ln2-2=In,ᓽ>In^,xx>—r.{2eee21.(2021o¾¿À•qrÁÂ)Ã/ᦪ/(x)=e*-x2+mln(x+2)-2.(1)X{Å=0|஻x)>0ᙠX€(2,+8)SÆᡂR(2)XÇÈÉ#Êk/ᦪ/(x)ÆYᙠ.ூᫀ௃(1)᪆R(2)᪆Rூᑖ᪆௃(1){$=0|/(=/-᱄-2,ÌÍ*᪷Ï*ᦪÐÑᑨÒ/ᦪḄᓫ~ឋÔ°DÈR(2)ᵫ⚪y=Ö◤ØÈm#Êk/ᦪ/(x)ÆÙÚᑮkᵫYᙠÜᳮᓽDÈ.(1){m=0|,/(x)=e*—x?—2,f(x)=e'—2x,/"(x)=e*—2,{xe(2,+8)|,/"(x)=eஹ-2>0ឤᡂ,ᓽ/'(x)ᓫa,V32)=e2-4>஺ᑣ/'(x)>32)>0ឤᡂᓽ஻x)ᓫaV/(2)=e2-6>஺ᑣf(x)>஻2)>0.(2)ᵫ⚪y/(-l)=e-'-3<0,{Å20|/(2)=e2-6+mln4>0ឤᡂᵫYᙠÜᳮy/ᦪ/(x)ÆYᙠR{É<0|/(x)=_2x+—%,/"(x)=e-2-gᓟ᧕y]()ᓫa,/"প=e-2-£>0,ᑣ/'(X)ᙠ½,+8)Sᓫa᪷Ï/(X)Ḅ᪆
,Yᙠxeå%,E),ç/”(x)>0,ᓫa,᪷Ï/(x)Ḅ᪆
Yᙠf+s,ç஻Ç)>0,ᵫYᙠÜᳮy/ᦪ/")ÆYᙠR22.(2021•ᐰê•qὃì⚪)xy஺>0"1,/ᦪ/■(x)=\(x>0).(1){"2|/Ḅᓫ~îa(2)ï=y=/("Zð=y=lᨵñᨵò஺ḄÚkô.ூᫀ௃(1)(0,ÌõSᓫ~⌴aRåÌ,+8õSᓫ~⌴UX(2)(l,e)u(e,+oo).\ln2JåIn2Jூᑖ᪆௃(1)D/ᦪḄ*/ᦪᑭᵨ*/ᦪḄZ/ᦪḄᓫ~ឋḄᐵøᓽDᑮ/ᦪḄᓫ~ឋX(2)ᑭᵨᢣᦪ&ᦪḄúûᑣ2ï=N=/(x)Zð=ý=1ᨵñᨵòþÿᓄ

240=ᨵḄᦪ᪷ᓽV=g(x)yᨵᑭᵨ"#ᦪẆ%g(x)Ḅᓫ'ឋ,*+ᔠg(x)Ḅ-./0᩽▲3ᑖ᪆g(x)Ḅ6789:ᑮ0<>0,TfV,/x<0,m2m2m2.•.#ᦪ/'(X)ᙠ(o,nopᓫ'⌴rstn,+81pᓫ'⌴xsIln2J|_In2J(2)/(x)=^-=1<=>«v=x"oxlna=alnxo=ᑣ■#ᦪg(x)=@^ᑣg'(x)=U^,axaxxcg'(x)=o,:X=e,ᙠ(O,e)ᑁg'(x)>0.g(x)ᓫ'⌴rsᙠ(e,+a>)pg'(x)<0.g(x)ᓫ'⌴xg(x)"w.r=g(e)=gg(l)=஺T*+8Vg(x)0,ᡠy=஻x)y=iᨵᨵᓽy=g(x)e=:ᨵḄᐙᑖ⌕ᩩD0<£<1,BᓽD0

241A.B.C.]D.ூÄᫀ௃Dூᑖ᪆௃ᵫ#ᦪḄ᜻ᏔឋÂ᣸◀AஹB,+ᔠ"ᦪᑨÌ#ᦪḄᓫ'ឋÂᑨÌC,ᓽÂ:Q.ூPQ௃ÍÎ-A,,Ï#ᦪÐ᜻ÐᏔ#ᦪ#ᦪ67Ñ᣸◀AÍB,᣸◀BÍC,V,,67Ñ᣸◀C.ᦑ⌱ÓD.2.2021•Ôᓭ•¾f▤×ØÙÚ#ᦪḄxÛÜDÝÚD•ÞA.ூÄᫀ௃Cூᑖ᪆௃¡:,᪷Ix#ᦪᨵ¡xÛÜᓽÂ.ூPQ௃ᵫ⚪à,cßÚ<0,:t],ᑣ,ᦑᦑX1ḄxÛÜDᦑ⌱ÓC3.2021•âãᥤå敾f▤×ØÙÚḄᦪ᪷çè#ᦪ/X1Ḅ“êë”.᝞í#ᦪḄ“êë”î1,ïð஺ḄK3MDÝÚA.B.C.ூÄᫀ௃Bூᑖ᪆௃᪷Iñòª£⚪ᓄ¡x>0/ᡠᙠÛÜᑭᵨ"ᦪẆ%ᓫ'ឋ+ᔠ/óᙠឋñᳮᑨÌ“êë”஻ḄK3M.ூPQ௃ᵫ⚪,,ᑣḄ᪷în|Ḅ“êë”,

242õö(x)=lnx—+2x>0,ᓽÞḄ/g(x)Ḅ“êë”nᓽö(x)ᓫ'⌴r,᪷I/óᙠឋñᳮÁÓö(x)Ḅ/ᙠ(s1)ᑁ,••.g(x)Ḅ“êë”MDᓽ0ḄK3M(s1).ᦑ⌱ÓB4.(2021•½ù•¾fúû)ü0,õ¬ý<0ᙠx>0Vឤᡂ
ᑣkḄᨬᜧ()A.eB.eln3C.logjeD.3ூᫀ௃Bூᑖ᪆௃⚪
!"ᓄ,%&'()*ᦪḄ,-./|1)*ᦪ
&23Ḅ45ᐵ789II;<,ᑣ=>?@;x>0ឤᡂ
ᯠGᑖHIᦪJKLᫀᓽO.ூ[\௃ᵫ⚪,;x>0ឤᡂ.P᧕ᑨS
*ᦪy=log(fcr)^=—3k_,,*ᦪᓫa⌴c
ᡠe7^,
ᓽkḄᨬᜧ|fᦑ⌱:B.5.(2021•kᓭmnofpqrspt▤vwx)*ᦪ/(x)Ḅ,-z^{

;||ᑣ!eJ/(x)>e
+lḄ\()A.B.C.ᡈx>l}D.{x|x<-lᡈூᫀ௃Aூᑖ᪆௃᪀⌼*ᦪᔠᩩOg'(x)>0ឤᡂ,Og(x)RḄ*ᦪ,ᵫ
&!"ᣚ
᪷ᓫaឋᓽOJ\.ூ[\௃᪀⌼*ᦪg(x)=eJ/(x)-e",ᡠeg(x)=e*./(x)-e
RḄc*ᦪ.

243ᡠe!"ᓄIᓽgx
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\x>0.ᡠe!Ḅ\|,ᦑ⌱A.6.2021•kᓅ¡•pt▤vwx¢£ᑭ|ᙠ¦§||ាᨵ3ª«ᦪ᪷,ᑣ«ᦪ□Ḅ¯^°¢A'lτB'lτC-lτD-|τூLᫀ௃Aூᑖ᪆௃ᑭᵨ²ᦪJ³|(||Ḅᑗ9Ḅµ᳛,ᔠ4·OJḄ¯.ூ[\௃
89(¸ᓽGḄ¯^¹᝕⌱A7.2021•ᐰ¼•pὃ¾⚪¢¿||,||,.ᑣ°¢A.||C.ூᫀ௃Bᑖ᪆Àᑭᵨ;ᦪḄÁÂÃ_ᦪ*ᦪḄᓫaឋÄ;a,hḄᜧÅÆKᑨ,
;•7ac,bcḄᜧÅᐵÇ,

2440.01ᣚᡂX,ᑖÈ᪀⌼*ᦪ,ᑭᵨ²ᦪᑖ᪆ᐸᙠ0ḄÊËᒹÍ0.01ḄÎůᑁḄᓫaឋ
ᔠ/(0)=0,g(0)=0ᓽOK஺Ñc,6ÑcḄᜧÅᐵÇ.ூ[\௃ᡠ:Ò☢ÔÎ□Õ{ḄᜧÅᐵÇ.Ö/(x)=21n(l+x)-J1+4X+1,ᑣᵫ7ᡠe×00_,ᡠe|ᓽ*ᦪ||f0,+oo)ᓫa⌴
ᡠe.ᓽ
ᓽb0,/(x)ᙠᙠ!ூ#ᫀ௃Cூᑖ᪆௃()*⌲,-⌱⚗.⌱⚗A,ᑭᵨ3ᦪḄ5678ᑨ:ᓽ<=⌱⚗B,>?ᑗ@ᑗA>?BCᑏEᑗFG=⌱⚗C>?3ᦪ@EHᦪ᩽Iᑨ:᩽K=⌱⚗D,>?᪀⌼HᦪN!O⚪Qᓄᑨ:HᦪS(TUḄVO⚪.ூWX௃Y⌱⚗A,“=-1,ឤᡂ]ᡠ_/(x)

245ᙠ`0,+00cᓫ⌴dᦑ⌱⚗Aghi;Y⌱⚗B,a=-1/`xc=ev-sinx.||,ᦑᑗ,ᡠ_ᑗB᳛,ᦑ(FGx},ᓽᑗFGxOᦑ⌱⚗Bghi=Y⌱⚗C,°=1,ᡂ]ᡠ_||ᓫ⌴d,|ᦑ/'`Xcᙠ᩽gᑣ,ᓽ,ᡠ_᩽ᦑ⌱⚗Chi;Y⌱⚗D,Y,,T,ᨵ᩽FY
xw`-,0cYᩩḄa0ᙳᨵ!ᦑ⌱⚗Dghi=ᦑ⌱xCூ௃3HᦪᵨḄᵨḄQᓄF*x
ᑭᵨ3ᦪẆHᦪḄᓫឋᓄgCឤᡂ]O⚪.ᑖSᦪᔠ¡¢Ḅ£ᵨ=T
HᦪḄ!ஹgC-¥QᓄHᦪḄᓫឋஹ᩽`ᨬcO⚪ᜐᳮ.Tஹ¨⌱⚪9.2021•ª«¬•®¯▤±²³c´Hᦪ/3=2/-"`஺¹0cᙠ`$c»ᨵᨬᜧᑣ“Ḅ½<¾`cA.-6B.-5C.-3D.—2ூᫀ௃ABூᑖ᪆௃@3Âᑮ3HᦪÄÅHᦪḄᓫÆÇÂᑮHᦪḄ᩽ᜧ᪷É⚪ÂᑮXÂ#ᫀ.ூWX௃/`Xc=-axc,ᑣ/'`xc=6x?-2᝖=6Ì`1-¯cÍ`0,+“cr`xc0,Hᦪᓫ⌴d=xe1*01Ð/'`xc¹0,Hᦪᓫ⌴.f`xcᙠx=ᜐ½᩽ᜧ/Ò=4.Hᦪ஻xc=2/-ax2s¹0cᙠÕÖ?c»ᨵᨬᜧ

246ᦑᔜ,Ø/ÙÚ/(ÛÜᓽÝJ-a(Þj,XÂaÒ_4.ᦑ⌱xAB.x2ex,x1IX᪷ᑣðᑡ⌱⚗hiḄ
()A.(0,0)
Hᦪ“éḄ!B.%£(0,1),XG(1,3),ô/&)>/(/)22e2eC.x=-2
/(x)Ḅ᩽ᜧD.஽Ḅ½K
(Ò¯÷øù)e82ூᫀ௃BCூᑖ᪆௃@EHᦪ3ᦪᑭᵨ3ᦪ@EHᦪḄᓫឋûEHᦪüýᦪᔠᓽ<ᑨ:þë⌱⚗.ூWX௃x0,/(x)ᓫ⌴xe(-2,0)
/'(x)<0,/(x)ᓫ⌴/(-2)=4/(0)=0"#W1
,/(x)=4>ᑣ/'(x)=eஹ(:-2),exxxe(l,2)
(x)<0,஻x)ᓫ⌴xe(2,ᑁ)
((x)>0,/(x)ᓫ⌴/প=e,஻2)=),/(x"0ឤᡂ,-./ᦪ12᝞4)5A,ᵫ/ᦪ12890:/ᦪ஻x)Ḅ<=ᦑA┯@"5B,ᵫ189/B«0D),/(E%),ᦑ*e(0,l),xe(l,3),I/J)>/5),ᦑBLM;25C,ᵫ189x=-2:“X)Ḅ᩽ᜧS=ᦑCLM"5D,UV"(x)1-2Wx)=0(aeR)YZ[/(x)=0ᡈ/(x)=2஺

247]189/(X)=0ᨵ1_`ᦪ᪷x=0ᡠcUV[/(x)F-2#(x)=0(«eR)ᨵd_eY`᪷YZ7/B=2a42ᨵ1_f<`᪷ᑣᵫ189geJᡈ஺ுe,ᦑD┯@.ᦑ⌱)BC.e4H.(2021lᓅ•ogpq)rs/ᦪ/(x)=lnx-t2,4ᑡvwᡂ,Ḅ:()x-1A./ᦪ/(x)ᙠyz{ᑁ|᩽SB./ᦪ“X)ᙠ=4(2,/(2))ᜐḄᑗUVy=|x+ln2-8C./ᦪ/(x)ᙠyz{ᑁᨵᨵ_<=D./ᦪ“X)ᙠyz{ᑁᨵd_<=᳝xq=12)ூᫀ௃ABDூᑖ᪆௃.yz{/ᦪ8ᑨA"ᑭᵨᦪḄz8ᑨB"ᑭᵨ/ᦪᓫឋc<=ᙠឋyᳮ8ᑨC"᪷⌱⚗C8ᑨD.ூ௃A,/ᦪ/(x)=lnx—yz{0,1U1,+8),/(x)=)--,\,'=-+~-r>0,2X-1X(x-1)X(x-1)/(x)ᙠ(0,1)(1,”0)Eᓫ⌴ᑣ/ᦪ/(X)ᙠyz{ᑁ|᩽SᦑALM"B]?,ᑣ/'বᓝ¢ᔛX/(2)=ln2-|±|=-3ln2,+/ᦪ/(x)ᙠ=Z(2J(2))ᜐḄᑗUVN+3-ln2=g(x-2)ᓽy=gx+ln2-8,ᦑBLM"C,,/(x)ᙠ(1,+8)Eᓫ⌴,¥஻e)=in”W=l—W=Y<0,e-1e-1e-1/6)=111/-¦!^=2--=g¦^ு0,ᡠc/ᦪ/(X)ᙠ(e,/)ᙠ/I/(Xo)=lnxo-©[=0,J_+i¥ᓽ/p-]=ln-!-y—=-llnx-^1']=-/(^o)=°.oeX஺e%Ix-ljx(joX஺ᓽ,/ᦪ/(X)Ḅ_<=ᡠc/ᦪf(x)ᙠyz{ᑁᨵd_<=ᦑC┯@.xo1D,ᵫ⌱⚗C89᳝=//2=—ᡠc᳝*X2=1ᦑDLM.ᦑ⌱)ABD%xex,x<\12.(2021•«¬ḕ«®᜜°±²᪥og▤µ¶·)rs/ᦪᓻ¹᮱F/ᦪg(x¹Ẇx)4ᑡ⌱⚗LM—,x>1Ḅ:()A.=(0,0):/ᦪ/(x)Ḅ<=

248B.3%1e(O,l),xe(1,3),I/(᳝)¼(½)2C./ᦪ/(x)ḄS{[-eT,+8)D.¿ᐵ[xḄUV[g(x)F-2ag(x)=0ᨵd_eÃYḄ`ᦪ᪷ᑣ`ᦪaḄÄSÆ:(Ç■ÉU(),+<»)ூÌᫀ௃BCூᑖ᪆௃ᑭᵨ/ᦪḄ<=ᑨA,ᑭᵨ/ᦪḄᓫឋᨬSᑨ⌱⚗BC"ᑭᵨ/ᦪḄᓫឋ/ᦪḄ᩽Sᑨ⌱⚗D.ூ௃5[⌱⚗A,0:/ᦪ/(x)Ḅ<=<=e:_=ᡠcA┯@"5[⌱⚗B,x0,஻x)ᓫ⌴ᡠc0l
¹;ᑣl3
r(x)>0,/(ᑗᓫ⌴ᡠclீx<3
/(x)

249x2ex,x<1,>=g(x)Ḅ12Ûy=2aᨵ_Ý=x*0,ᑣg(x)=l.9Xßᓄ
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250ᑣgü-xý=-güxý,ᡠc/ᦪgüxý᜻/ᦪxVO
ï"=Jl+r-xᵫ[/ᦪ%=7T7P""2=-xᙠü-8,0ÿᙳᦪᦑᦪ"=Ji77-xᙠY°0ᦪᦪN=ln"ᙠ0,+8ᦪᦑᦪgxᙠ7,0ᦪᡠ"ᦪgxᙠ#0,+8ᦪᦪgxᙠ$%&ᑣgxᙠRᦪLlj/2x-l+/4-x2+2>0qJWg2x-l+g4-x2>0,ᓽgf-42X-1,&PX2-2X-3>0,45x<-1ᡈx>3.ᦑ:ᫀ3.14.2021•>?@A•BCDEFGᦪ/x=xlnx+Hm/ᨵKL᩽NOᑣPᦪQḄSNUூᫀ௃-1,0ூᑖ᪆௃Zᦪ/x=xlnx+gax2ᨵKL᩽NO\ᓄ/'x=0ᨵKL_`a᪷cdᑭᵨᑖghᦪi5ᑮk=-lᓲ.nop=-qE">0,y=m,r◤tt=-uvw᜛=kᨵKLyO.ᑭᵨzᦪẆ|“t=-1^11,@>0Ḅᓫឋ᩽NᓽmḄSNU.ூ4௃/3=111+3k2Ḅ0,+00,/஺=1+1+"⌕ᦪ/3=_¥111¥+HkᨵKL᩽NOr◤/'x=oᨵKL_`a᪷ᵨᙠᓰḄKy=/xḄᓫឋᙠX2ḄKy=/xḄᓫឋ.ᵫlnx+l+Qx=05k=n'+1.Xn/7x=n<+l,x>0,y=m,⌕ᦪ/x=xlnx+Hmx2ᨵKL᩽NOr◤/?=-q¢■wN=kᨵKLyO.஻'x=¥n"t=¥>05lHnᑗ=¥<05<0+ª§xr+oo©y-0H¬஻=-qwN="?Ḅ®¯᝞®

251ᡠ"-YwOᓽPᦪ”ḄSNU(-1,0).ᦑ:ᫀ<(-1,0)ூO¶௃ᑭᵨzᦪẆ|·O¸⚪<(1)º·OḄLᦪ¸⚪<ᑭᵨᦪ»¼ᔠḄ¾iᑨÀyOLᦪ᝞ÁᦪÂÃᩖᵨzᦪGź᩽NOwᓫÆÇȺᐸᜧË®ÌH(2)ÍÎḄᨵ4¸⚪ÏÐᑨÀÐᔲÒᙠ·OḄ¸⚪hÓᑖg\ᓄᦪḄN¸⚪ᜐᳮ."Ö×᪀⌼ᦪg(x)ḄÍiZ¸⚪\ᓄẆ|᪀⌼Ḅᦪg(x)Ḅ·O¸⚪H(3)ᑭᵨzᦪẆ|ᦪ·OᡈÍÎ᪷ÖÚᨵCÛÜÝ<জᑭᵨᨬNᡈ᩽NẆ|Hঝᑭᵨᦪ»¼ᔠÜáẆ|<ঞ᪀⌼ãäᦪẆ|_/ஹInx.-In215.(2021•ç?•BC▤éêë)ìíîïḄðxe(w,+oo),§*<ò©óᨵôᓃ,ᑣ“2ḄᨬöNÐ.ூ:ᫀ௃2#ᑖ᪆÷øô>>2Ó»ù2<)1Ḻ+2,n/(t=öûᑭᵨ/(üᙠ(ýᱥ)ÐX-xxxX,x''X2t22⌴
ᦪ.ூ௃ᵫ⚪0<᳝<ᡠ%-<0,Inx.-Inx,2,..ஹஹx,Inx,+2x,lnx,+2ᑣ-------->-----#$%*'(lnx-lnx)>2(x-x),ᓽ---------<<--------,1221Xj-XxxXjx2122./(x)=Wn+2,ᑣ12>u><,ᡠ஻x)ᙠ(6,+8)89⌴
ᦪ,ᡠ/'(x)=T>0ᡂ>x>2ᡠᑗ22,ᦑmḄᨬDE92,ᦑFᫀH2I10

2521[xeR_,/(x+4)=2/(x),ᑣ[xe]3,5k_/(x)=2/(x-4),ᑣ[xe]3,5k_
ᦪ/(x)}ᵫ[_Ḅᙶ᪗oᙶ᪗H2ᓽ}
ᦪ/(x)ᙠ]7,5k_Ḅ
ᦪ᝞ᡠ[=0_/(x)=஻?x=0ᙠhi]0,5k8ាᨵSnopḄqᦪ¡ᔠ⚪¢[wxO_,[xe]O,lk_/'(x)=eᙠxe]O,lk8H
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ᦪ/(x)=J-x2+ax+l.(1)/(x)ḄᓫÓឋ¢(2)ÔÕy=஻x)§ᙶ᪗ÖḄᑗÕªÔÕy=/(x)Ḅ×ᐳḄᙶ᪗.ூᫀ௃পFᫀÚ᪆¢(2)(lM+1)(-1,-1-஺).ூᑖ᪆௃(1)✌ᐜÝ
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ᦪḄ᪆Þ}/'(x)=3/-2x+a,Ý
ᦪḄᑨéÞê=4-12஻[ê=4-12a40,azg_/'(x)NOj(x)ᙠRîïᓫÓ⌴[A=4-12a>O.a<¢_/'(x)=OḄHᓰ=ᓃóô=ᓃõö'1—J1—3aஹ[XE-CO,---_/'(X)>OJ(X)ᓫÓ⌴¢\7[xe1ᓃûôᓃû}_/'(x)<0J(x)ᓫÓ⌴ü¢[xe3-Iý_'/'(x)ுO,/(x)ᓫÓ⌴¢²8}[_/(x)ᙠR8ᓫÓ⌴|..•,[1—J1—3஺1+—3a]ஹ“1-J]—3஺1+J]-3a_/(3)ᙠ[-8,---------J[---------,+8)ᓫ⌴ᙠ---------,---------ᓫ⌴.(2)ᵫ⚪#$%&/(Xo)=K-x,+aXo+l,/'(%)=3X,-2%+஺ᑣᑗ2345&y-(x,-x&+g)+l)=(3x&-2xo+a)(x-Xo),ᑗ28ᙶ᪗;<ᑣ&0-(ᱏ-?&+3>+1)=(3ᱏ-2%+4)(0-B0),᦮ᳮ$%&2x,-x,-l=0,ᓽ&F-1G2%+/+1)=0,H%&3=1ᑣ/(%)=/(1)=1-1+4+1=0+1/'(%)=/'প=1+஺ᑗ2345:V=(a+l)x,4f(x)=xi-x2+ax+1Kx3-x2+ax+\=(a+l)x,ᓄM%Y-x2-x+i=0,ᵫPᑗ<ḄRᙶ᪗1SᯠUV34ḄW᪷.•.(x-1)UY-x2-x+lḄWYZ,...V34$[ᑖHYZ5(41G/-1)=0,H%%=1,%=-1=]^_2,=/(x)8ᙶ᪗;<Ḅᑗ2`_2y=/(x)Ḅaᐳ<Ḅᙶ᪗5(1M+1)d(-1-1-eூ

254⌕{#ᐸ|ᨵWᦪ᪷UḄᑗ<ḄRᙶ᪗᪵¡᧕8ᑖHYZW᪷.34£ὃ¤¥⚪|Ḅ¦§w⚪Sអ©ª«¡᧕¬ᑮᐸ|W᪷ᯠᙠ8ᑖHYZḄ3®ᐸ¯Ḅ᪷.18.(2021°±ᓄ²•£▤´µ¶)·uᦪ஻x)=eஹ-ax.(1)uᦪ஻x)Ḅᓫº»,(2)¼uᦪg(x)=/(x)-1x2-1a2,½xNOg(x)*0ឤᡂᦪ஺ḄÃÄÆ.ூÇᫀ௃পÇᫀ§H᪆(2)-0WaW2-ln2ூᑖ᪆௃(D᪷“ᑖᑭᵨnᦪuᦪḄᓫº»,(2)ᓄMg(x),ᑭᵨnᦪg'(x)mi„=g'(0)=l-aᑖᑖÏg(x)minÐg('"F஺Hᓽ$.(1)f(x)=ex-ax,/'(x)=e*-a.avof'(x)>0,/(x)=e"-“xᙠÓ^ᓫ⌴.”>0Ð/'(x)=e*-a=0,%x=lna.xlna/'(x)>0,/(x)ᙠ(lna,+<»)^ᓫ⌴ᦑᨌ0/(x)Ḅᓫ⌴º»UR,a>0/(x)Ḅᓫ⌴º»U(-8,Ina),ᓫ⌴º»U(Ina,+8).(2)g(x)=/(x)--^x2-^a2=ex-ax-^x2-^a2,g'(x)=ex-x-a,g"(x)=ex-l,Vx>0,Þg"(x)=e-1*0,g'(x)ᙠß0,+s)^ᓫ⌴,g'(x),=g,(O)=l-6f.mn1-aNO,ᓽaVl,g'(x)F=l-a^0,g(x)ᙠã+য^ᓫ⌴mnᑣg(x)min=gãMl-ga,Oæg'(x)mM=I-a<0,3x>0,g'(A-)=-x-a=O,ᓽa=e'஺—x஺ᡈe'஺=a+x(),00o0cx,g(x)<0,g(x)ᙠ(0,%)^ᓫ⌴x>x()g(x)>0,g(x)ᙠ^ᓫ⌴ëg(x)min=g(x°)=*--(x+a)'=ex0--(eVo)-=-ex°(2-e~ᡝ0,2..,.0

25519.(2021•òᓅ•£ô|)uᦪ/(x)=lnx+x2-2ax.(1)½஻x)õᙠᓫ⌴º»ᦪ஺ḄÃÄÆ,(2)½y=/(x)ᨵöW᩽Ä<£ù&/(x,)+./(x)<-3-ln2.2ூÇᫀ௃(1)”>0;(2)§ûH.ூᑖ᪆௃(1)᪷⚪#üᔠr")=g+2x-2a<0ᨵHtᦪᑖþᓽ$H,(2)᪷⚪#üᔠᐗ
᪷Ḅᑖ⊤஽+2,஺Ḅᵨ஺⊤+ᓽ.(1)᪷$⚪&/'(x)=++2x-2a,.//(x)0ᙠᓫ3⌴567ᡠ9/''(x)=:+2x-2a<0ᨵᓽ>+2x?<2a,./x>0,ᡠ91+2x22ஹpW=20,DEFDx=12GHIᡂKx2.L2a>20ᓽa>M.(2)NO+᪷$⚪&P/'(x)=—+2x-2a=0,ᓽ2--2"+1=0A=4a2-8>0./N=/(x)ᨵWXYZ᩽\]ᓰX2,ᡠ9-X1+X2=a>0,a>-Y`=a>0/(%,)+/(x)=Inxx+xa+xa-2a(᳝+x)=Inxx+(᳝+x-2xx-2a(x,+x)2t22t22t22=ln-+a2-l-2a2=-a2-l-ln2,2./a>gᡠ9-/-l-ln2<-3-ln2,ᦑ+20.(2021•klᦻn•opqr)stuᦪ/(x)=(x-஻i)lnxᙠx=eᜐḄᑗ|`}|2x-y+2=0M.(1)”?Ḅ\Lᑗ|a(2)NO+/(x)0tYHᡂKaDxe(l,+<»)GPg(x)=e*+cosx-l-xlnx,ᑭᵨᦪg(x)ᙠ஺m)ᓫ3⌴ᑮg(x)>g(l)=O,ᵫL.

256(1)v/"(x)=lnx+l--,.,./r(e)=2--,xe•஻x)ᙠx=eᜐḄᑗ|`}|2x-y+2=0Mᓽᑗ|᳛/2,=2=2,+M=0,/(x)=xlnx,/(c)=e,eᡠᑗ|/:y-e=2(x-e)ᓽ2%-y-e=0af(2)⌕N/(x)0,cosx>0,ᓽe*+cosx-l>0,/.xInx<+cosx-1;ঝD§£(1,+8)GPg(x)=e"+cosx-l-xlnx,:.g,(x)=ex-sinx-lnx-1,gw(x)=er-cosx--,Dy>1Gex>ef-IWcosxWl,0<—<1,/.ex—cosx—>0,ᓽg"(x)>஺1xx•g'(x)ᙠ(l,+8)ᓫ3⌴.•.g'(x)>g'(l)=e-sinl—l>0,•g(x)ᙠ(l,+8)ᓫ3⌴g(x)>8প=e+cosl-1>0,ᓽxlnx0ឤᡂKᑮᡠN.21.(2021•klᦻnopqr)stuᦪ/(x)=2"-L-lnx(aeZ).X(1)uᦪ/(x)Ḅ᩽\a(2)Âg(x)="g,ÃÄVxe(L+co)Åᨵ/(x)1),uᦪÊ(x)ḄᨬÈ\ᓽᫀ.XX1—Y(1)+uᦪ"X)ḄÁË/(0,+8),./(*)=¥PÌx)=o,x=l,XD/'(x)>0G0<%<1+D/'(x)<0GX>1,ᡠ9uᦪ“X)ᙠxe(0,1)ᓫ3⌴ᙠxe(1,+oo)ᓫ3⌴5,

257ᡠ9/(x)Ḅ᩽ᜧ\/"1)=2“-1,Ç᩽È\;(2)+ᵫ⚪&t2a---lnx<^^,ᓽ2“<3+lnx+ÐÄVxe(l,+oo)ឤᡂK,XXXXÒÐஹ3[lnx[ஹஹ311-lnxx-lnx-2PÊ(x)=-+lnx+—z(x>l),ᑣ|(11|Ê'*)=¥¥+-+——=----z——rXXXXXX1Y¥]PÙx)=x-lnx-2(x>l),ᑣ“(ᙳ=1¥±=:>0,ᡠ9஻(x)ᙠxe(l,+8)ᓫ3⌴XXÜ./஻(3)=1-Ý3<0,7(4)=2-21112>0,ᡠ9ᙠ(3,4)ᑁà0ᙠ%,áâ(%)=0,1Dxe஺,/)GA(x)<0,F(x)<0,ᡠ9Ê(x)ᙠxe(l,Xo)ᓫ3⌴5aDx€(Xo+8)G/i(x)>0,F(x)>0,ᡠ9Ê(x)ᙠxe(/,+<»)ᓫ3⌴aᡠ9Ê(x)min=b(Xo)=3+lnXo+g'3x—2]./஻(%)=%-æ/¥2=0,ᓽIn/=%-2,ᡠ9ç(§)஻/(è0)=—+x-2+----=x+---1,%«3,4),00X஺xoxo./Ê(X஺)ᙠX°e(3,4)ᓫ3⌴ᡠ9ÊÜ./aeZ,ᡠ92aW2,ᡠ9ᡠ9aḄᨬᜧ\/1.ூ]௃®⚪ὃ²ìᑭᵨᦪuᦪḄᓫ367ஹ᩽\íᨬ\°⚪îὃ²ìYHឤᡂK°⚪ὃ²ìïðḄᦪ$ᑖ᪆ñâòóñâôõöᜧ஺22.(2021•ᜩø¥rop▤úûü)stuᦪ/(x)=e'-mxᨵWXYZḄý]᳝x,E/2(x-l)(3)X]+x,>3---.mூᫀ௃(1)®+8)(2)%&'᪆(3)%&'᪆ூᑖ᪆௃(1)*+⚪-./01᜛=456ᦪg(x)=9Ḅ;<ᨵ>?@ABCḄDBEFg(x)ḄX;

258{⚪eB01᜛=|56ᦪg(x)=2Ḅ;<ᨵ>?@ABX}g'(x)=e'(x,-l),xlBg'(x)>0,x'ᑣ6ᦪg(x)ᙠ(-8,0),(0,1)ᓫ\⌴Bᙠ(1,+8)ᓫ\⌴^BX<0Bg(x)+00,g(1)=e,ᐸ₝;᝞,ᵫ;0,S஻(x)=(x+l)lnx-2Cr-l),ᓽxe[l,+e)B"(x)20ᡂB11Y__1P஻(x)=lnx+--1,|(x)=lnx+-1,ᑣM(x)=—20ᙠxe[l,+s)ឤᡂBXXᡠa|(x)=lnx+B-lᙠxe[l,+s)ᓫ\⌴^Bᡠaxe[l,+s)Bm(x)=Inx+--1>/n(l)=0,ᓽ'(x)20ᙠxe[l,+e)ឤᡂBᡠa/z(x)=(x+l)lnx-2(x-l)ᙠxe[l,+o?)ᓫ\⌴^Bᦑ/z(x)2஺(1)=0,ᡠa(x+l)lnx-2(x-l)20ᡂ.ᓽx+1(3)ᵫ(2),xw(O£)B"(x)<0,C3ᙠxw(0,1)ᓫ\⌴Bᡠa□(x)=lnx+'-lுCপ=0,xᓽ“(X)>0,ᡠah(x)=(X+1)InX-2(x-1)ᙠX€(0,1)ᓫ\⌴^Bᡠah(x)

259m+2x-2,2222x2-x)2+x-x.^x-x)ln/n+2(x¯᳝)BHPx+1..Jn/w+2,ᓽ/+x.lnm+\,22r2122v⌕³+F-3-£,ᓽ´7+1..3-,¶◤lnm+£..2,mmm

260idF(w)=lnw+—,ᑣº(஻?)=^--==M,᧕º(»)ᙠ(&”)ᓫ\⌴^,ஹ'mzwm~m2.F(m)..F()=2,ᓽK.e