2023学年上海闵行区高考数学倒计时模拟卷含解析

《2023学年上海闵行区高考数学倒计时模拟卷含解析》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。

2023
ὃᦪᔁ⚗1.ὃᔁ⚪ᓱ.2.⚪!Ḅ#$ஹ&ὃ'(ᵨ0.5*+,⁐./Ḅ0123ᑏᙠᔁ6⚪ᓱḄ789:.3,;<᪶>?ὃᕒᙠ⚪ᓱAᡠCDḄᩩFṹAḄ#$ஹ&ὃ'(HIJᔲLM.4.O⌱Q⚪Rᵨ2BS2⚪ᓱA>T⌱⚗ḄU᪾WXஹW,Y᝞◤ᦋ]ᵨ^_`abc⌱Wᐸeᫀ.Og⌱Q⚪Rᵨ05*+,⁐./Ḅ012ᙠ⚪ᓱAḄᢣ89:Oᙠᐸe9:Oijᦔ.5.᝞◤OlRᵨ2BS2mஹᑏnopᩩஹM(qRr,ஹrs.ஹ⌱Q⚪t⚪ᐳ12v⚪wv⚪5ᑖᐳ60ᑖ஺ᙠwv⚪z{Ḅ|}⌱⚗~ᨵ⚗JMᔠ⚪⌕Ḅ஺1.ᐭḄpᑖp1"=21+52=2%-1”045ᑣ4|"|ḄᨬvA.5+In2B.5-ln2C.3+In2D.3-In22.r“&ᢄ”ᜧ¢ᐶḄ“~¤¥”¦ᜧ§⍧ᵬஹªஹ«ஹ¬ஹ®9¯°rAஹBஹC±}²³Ḅ´Ẇ¶Ow}³·¸¹1IºᵬஹªI»8¹¯}²³ᑣ¼¯Ḅ§⍧UᫀᐳᨵA.24B.36C.483.¢ᦪ1=33½ᦪᓫ9ᑣq)1-1A.3B.272C.2D.04.¿⚪p3ro>2,ᱏ8>0,ÁÂT7()A.3x>2,X3-8<0B.VX>2,X3-8<000C.<2,X3-8<0D.VX<2,X3-8<005.ὡÆ2ᑖÇp஺t0-1=1a>0/ு0ḄÉஹÊᯖÌὡḄp/HÇpCḄÉஹÊÎᑖ——.ÐÑ|4A8Ó8=0,n=1"ᑣÇpCḄÔÕ᳛\AF2\5A.V13B.4C.2D.66.ᙠ$1+J$2x+13×ØÙ~ḄÚᦪ⚗A.1B.2C.3D.77.AABC~ᑁÜᡠ>TḄÝÞßa,4c,Ó2a=0+l,c=஺"ᑣAABCḄ☢á

1A.B.6C.373D.2â8.ãᦪ/x=sin3+஺0ðᑣñò|}ót4জ0=3ঝ8=ঞ/õ=öট,0ãᦪ/xḄ}>ð~Õᐸ~ᡠᨵùúóḄû(JA.জঝঞB.জঞটC.জঝটD.ঝঞট9.ᙠ☢Üᙶ᪗þ~Al,2ÿ
஺⌮┐90஺ᑮ
8,08xᡠᡂḄᨬa,ᑣcosa2A/5A/56n2ARA.---------B.-------CD.555510.!y=-2xḄ"#a,$%|sin2aḄ'%(4443A.-B.))C.±-D.--5555ii.*+A,-.ᐳ01A2a"8,-.ᐳ31ᵨ,6,ᮞ289ᙠ);2<◤⌕?@ABCᐸEᑖGᩭ2IJKLAB)1-.2ABMN9O2ᑮABP21A,-.ᡈὅABP318,-.2ABST2ᑣU)JABP8,-.2UVJABPA,-.Ḅᭆ᳛%(1323A.—B.—C.—D.—2551012.ᵬஹ[ஹ\ஹ]6^_`ᑭᵨᨣᎷdefghijᜧlm26nᔜpqhEḄrstuஹᓟw᭣yஹz{᪍ஹ}~᩟6ᜧh
Ḅ)2Ih
q)n.*+জᵬNᙠ}~᩟2Nᙠrstuঝ[Nᙠz{᪍2Nᙠ}~᩟
ঞ“\ᙠ}~᩟
''"ᵬᙠz᪍”Ḅᐙᑖᩩ1ট]Nᙠrstu2Nᙠ}~᩟
.!2ᑣdeᓟw᭣yh
Ḅ_`%(A.ᵬB.[C.\D.TVஹ⚪⚪ᐳ4⚪2I⚪5ᑖ2ᐳ20ᑖ஺2213.*+ᙊ+"=1Ḅᯖ
¢2
Pᙠᙊ£ᙠxḄ¤2!¥PEḄ
ᙠ
஺ᙊ¦2|஺¢|§Ḅᙊ2ᑣ¢bḄ#᳛.14.*+x±2y=0¨©Ḅª«¬@
4,1,ᑣª«Ḅ᪗¯¤°.

215.᝞²³ᱥ)
A(4,m)ᑮ¯Ḅµ¶6,·¸¹=.16.*+ºᦪ/(x)=log2X,ᙠE¼:,2KL½)ᦪ¤,ᑣ¾¿Ḅᭆ᳛.3ஹÀÁ⚪ᐳ70ᑖ஺ÀÁÂᑏPᦻÅÆÇஹÈÇ@°ᡈÉÊËÌ஺17.(12ᑖ)*+ÎᦪᑡÐ%Ò,ᐸÓÎ4>1,£ÔÕ4+%=12,%Ö%Ḅ×⚗1.(1)ÙᦪᑡÐ%ÒḄ?⚗ÓÚ(II)!b=na,TᦪᑡÐᒹÒḄÜn⚗Ö2Ù¾T„-n-2n+l+14=0ᡂÝḄ᦮ᦪ஻Ḅ'.nnn(ᐔஹG[%=>/6COSC918.(12ᑖ)*+«Gpsin\0+-=ÖG\ᔆ(9áᦪ).
஺᩽
2xḄ\6J2[y=j2sine᩽2ãÝ᩽ᙶ᪗å2£0æᙶ᪗å½ç_Ḅèéᓫ^.(1)Ù«GḄᙶ᪗¤°ÖḄ¤°ᓄ᩽ᙶ᪗¤°(2)Gx"yì"2N0
2£¥MNḄ
P.!íOPG"஺2ìP"஺0
2Ùp"Q0
¼Ḅµ¶.19.(12ᑖ)*+ºᦪ/(x)=xlnx+x,g(x)=W.(1)!NÚ/(ïðñ4¹òឤᡂÝ2Ù஺Ḅᨬ'(2)ÈÇ/(x)+l-x>g(x).(3)¤°/(_)g(x)=xḄô᪷ö.÷¢(x)=E!øᙠù2e(l,-Hx)),X)/2,0),û
NÔÕ|üý|+|NS|=4"i,
P¥Ḅ
2³ᱥC/=2᪷)(஻2>0)
4Ḅþᙶ᪗"2OA-OS=6y/6.(1)Ùû
PḄÿ
Ḅ᪗ᱥCḄ᪗(2)ᱥ஺Ḅ஺"_LOQ,ᑨ+ᾓᔲ!,"#$%,'()ᳮᵫ.(1[x=nx=[-m2L(12ᑖ)ᙠ01ᙶ᪗34!04Ḅ5ᦪ",85ᦪ)!04Ḅ5ᦪ஺஻(5y=K(m-1)y=2+—

3ᦪ)"NOP4,4ḄRSTU"VᦇXᓄZ"SUḄ[\]^Pc(1)_^PcḄ`abc:(2)dᙶ᪗gST᩽S"XijkliT᩽imnopḄᓫrstuv᩽ᙶ᪗w"xyPzḄ᩽ᙶ᪗bcTe=a(Q..O),tana=g[o2.l15ὃ>ᫀஹ⌱⚪⚪ᐳ12⚪"⚪5ᑖ"ᐳ60ᑖ஺ᙠ⚪Ḅ¡¢⌱⚗¤"¥ᨵ⚗]§ᔠ⚪©⌕_Ḅ஺ூ¬᪆௃xOPT¯=஺(஺>0),4(°,±)8(%,%)"ᵨ”⊤´*,¶"_4|AB|,·/(a)="+2—lna,ᑭᵨ¹ᦪ_ᓫº᩽ஹᨬ"ᓽ½_41ABiḄᨬ.ூ¾¬௃¬xOPT>=஺3>0),4>1"±)8(¿2"%)"ᑣlna=2᳝+1,.•.᳝=g(lna-l),Ã஽ÅÆ/=2%-1,ÇÈ41ABi=4(/_᳝)=4J-glna—l)-2^a2+2-lna),2/-1(V21(É1x/■(஻)=/+2—Ma,ᑣ((Ë=Ì~ᦪ/(a)ᙠ0,—Îᓫ⌴Ð"ᙠ—,+ooÎᓫ⌴Ñ"a22

4ᡠB4MMmm=2/(a)min=2/ᱛ=5+In2k27ᦑ⌱GA.ூI௃K⚪ὃMNᦪOPḄQᵨG"ᓫTUVW᩽ஹᨬ!ὃMᓄ\᦮ᳮḄQ^_`!ab"NbcᦪḄᨬdᐵf!gh4᫏⚪.2.Bூ᪆௃᪷k⚪l!ᨵnoᑖpᫀ!3:1:1,q2:2:1,ᯠsᔜuᐰ᣸ᑡ!y"W.ூ௃zᢥ᯿3:1:1}~ᑖp!ᑣᨵC:A:=18o%Ḅᫀzᢥ᯿2:2:1}~ᑖp!ᑣᨵC:▀=18o%Ḅᫀ.ᦑᐳᨵ36o%Ḅ⍧ᫀ!ᦑ⌱GB.ூI௃K⚪ὃM᣸ᑡᔠஹᦪᦻᓄ!ὃMᦪ_`Bᑖ!gh4᫏⚪.3.Dூ᪆௃ᑭᵨᦪᦪḄ◀Q^ᓄ\"z,ᯠs0ᑭᵨᦪḄ".ூ௃,2i2/(1+/).ᡠBz==a!ᦑ⌱GD.ூI௃¡⚪ὃMḄᨵᐵᦪḄ¢⚪!£ᑮḄOPᨵᦪḄ◀Q^!ᦪḄᐳ᪋ᦪ!ᦪḄ!gh¦Ạ⚪.4.Bூ᪆௃ᑭᵨᱯ©ª⚪Ḅᔲᑖ᪆>.ூ௃

5Ö⚪PH\>2,x:-8>0,ÇÈ-1P]VX>2,X3-8W0.ᦑ⌱B.ூSØ௃⚪Ù⌕ὃÛᱯÝÖ⚪Ḅᔲß"àᙠὃÛáâãäåḄᳮ¬çèéê"ëìíẠ⚪.5.Aூ¬᪆௃ᵫðñᵨ=4x,ᵫòð|Aó=5x,|AB|=3x,ôᑭᵨõ^PḄßö½ᵨ"⊤´|Aὡ|,|4ᨴ|,ᵨùúßᳮð஺¿•Ḅûü"ýÃðþÿ᳛.ூ௃I4■.■ABB^=O,AB^0,BF\0,ZABF=9()஺..,.=4x,ᑣ|A=5x,|A@=3x.2Nᵨ5|AFj|=/,,#|Aᕜ%"ὡ|=6|—*=2«,ᓽ5x-/=(3x+f)-4x=2a,#/=3a,x=a,.\BF^=Aa]BF\=\AE\+\AF\=6a,ᵫ32+42=567#86a92+84“92=82c92,2°⇟>>?@ABḄDE᳛0=?=G.c=ᦑ⌱A.ூJK௃L⚪ὃOP@ABḄDE᳛>⚪ᐵRSᵫᔣUᦪUWX0#Yᚖ[ᐵ\>ᑭᵨ@ABḄ^_`@ABaḄJA8ᑮᯖJḄeDfᵨ஺⊤hYᩭ>jGkᵫlm^ᳮopdcḄᐵ\.6.Dூ᪆௃PY82x+193uv⚗xḄyᦪ⚗z{KḄ⚗>}⚪#஺ூ௃2x+193uv⚗xḄyᦪ⚗z{XḄ⚗ᑖX

6ீপ3(2x)°=1,C](2x)'xl2=6x,ᡠ11+£|(2X+1)3uvxḄyᦪ⚗XIxl+Jx6x=7.ᦑ⌱DூJK௃L⚪⌕ὃO⚗^ᳮxuvḄ⚗zᓄ>ὃO>Ạ⚪஺7.Aூ᪆௃ᵫ^ᳮ#1+>¡ᔠ2a=b+l#”>b,kᑭᵨ☢Wᓽ.ூ௃ᵫ^ᳮ>#7=஺2+஻%2"§஺=/+2%">ᵫ<,#1/?[2a=h+l[b=3GDIc1஻,ᔆ1o2«3«/TT93Mse=5absinC=—x2x3x]>=———•ᦑ⌱A.ூJK௃L⚪ὃOᑭᵨ^ᳮ²³´>ὃOµ¶ḄL>S%⍝¸᧕⚪.8.Bூ᪆௃✌ᐜ᪷¾²³¿ᦪḄÀÁÂᑣ⊤hYg(x),k᪷¾ÈÉឋPYஹjGÖ×#;ூ௃ᵫ⚪Ä#g(x)=sin[o(x-?)+e.7T9=sincoxa!+p,\3>ᐔ,Û—69+᜛=KjTTH--TT.•ß42ᎸáeZ9,•••f(x)Æg(x)Ḅ4Çfᐵx=ÈÉ,4—co—co+p=hᐔ+"1432.#Ê=(%i—Ì)Í(4>&wz),ᓽÑ9=384—22984>&wZ9,•0/(x)=sin(3x—(Ò/(Ó=sin----k—,/æ]=0>64J2U2J

7...জঞটab!ঝ┯±.ᦑ⌱GBூI௃K⚪ὃM²1cᦪḄឋ´Ḅµᵨ!²1cᦪḄ¶ᣚ¸ᑣ!gh¦Ạ⚪.9.Aூ᪆௃¹00Q4ºx»a¼»ᡠᡂḄᨬda1ᵫ¾l1Ḅ²1cᦪḄ¿ÀB"sin"Ḅ!Á⚪ᨵQ4_LOB/!|a=Â+90',ᑭᵨÃNᓽÀᑮ>ᫀ.ூÅ௃᝞Ç!¹00஺4ºx»a¼»ᡠᡂḄᨬda1᜛??Z5ÉA8l,2ᙠ1ḄÊË!ᡠBsin1=7,-2.=—^ߟÁ⚪ᨵᑣa=£+90°,2ᡠBcosa=cos(1+90°)=sin/?=-§%ᦑ⌱:AூI௃K⚪ὃM²1cᦪḄ¿ÃN!gh¦Ạ⚪.10.Bூ᪆௃᪷k⚪lÀGtana=-2,ᡠ"ÍᑭᵨqÎ1ḄaÏcᦪᓄ\!yᑭᵨ1²1cᦪVḄ¦Kᐵ3Ïᓄᑗs,Ñtana=-2ᐭÓ^ᓽÀ"Ô.ூÅ௃ᵫh0y=-2xḄÕÖ1a,ᡠBtana=-2,

8.cc.2sinacosa2tana-2x24ᑣsin2a=2sinacosa=——---------—=——-------=-----——=——sin"«+cos,-atarra+1(-2)+15ᦑ>ᫀ⌱BூI௃K⚪ὃMqÎ1ḄaÏcᦪ!1²1cᦪVḄ¦Kᐵ3!B0ÕÖ1ºÖ᳛ØVḄᐵ3!ÙÚÛÜK⚪Ḅᐵf.11.Dூ᪆௃᪷kᑖÝÓᦪÞᳮ!ᵫßᐺᭆâᭆ᳛ÀãäåæÔBçḄᭆ᳛!%èéêëìãqäåæÔAçḄᭆ᳛!ᓽÀ.ூÅ௃Açᐳní4,A2,8çᐳ²í4>îâᱏ!3ᑣãäåæÔ5çḄᭆ᳛W;21%èéêëì!ᒕó4íç!ᑣãqäåæÔAçḄᭆ᳛=42313ᦑãäåæÔ8ç!ãqäåæÔAçḄᭆ᳛=ᦑ⌱GD.ூI௃K⚪ὃMᑖÝôÓᦪÞᳮḄµᵨ!ßᐺᭆâᭆ᳛Ó^Ḅµᵨ!gh¦Ạ⚪.12.Dூ᪆௃᪷kõö÷ᳮ}~ᑨ.ூÅ௃ᵫজঝটÀOᵬùúû%ᙠüß᩟þ!ÿᨵ
᩟ᵫঞᨵᵬ᪍ᵫটᓟ᭣ᓟ᭣Ḅ".ᦑ⌱&D.ூ(௃*⚪ὃ-./0ᳮ23./0ᳮḄ45"6⚪7Ạ.9ஹ;<⚪&*⚪ᐳ4>⚪?>⚪5ᑖᐳ20ᑖ஺13.V15

9ூ᪆௃¡ᔠ4´éê>ᑭᵨ²³´xëB^ᳮ>ìBíîᵨᙶ᪗⊤hᡂᙊḄóô>õöᙊóôὶpø%ùP.ᑭᵨᯖúûz²³´xëB^ᳮ>ᑣüXýþ.ூ௃óÿ1ᵫ⚪QF|=|0M|=c=2,ᵫᳮὡ|=21|=4,Px,y
x-2>+V=16,22ὶ+ᓃ=195321x==TPᙠᙊ"#ᙠx$Ḅ",22Z'$(P'ᡠ+kpF=•C=2,2ᯖ./012ᵨ᪆1ᵫ⚪I஺6|=|OW|=c=2,ᵫᳮ▬|=2|OM|=4,ᓽa—%=4n%=zc(O/lC]---------(Pᡠ+9PF=d"-=\/—2ூ>௃@⚪A⌕ὃDᙊḄ᪗FஹᙊḄHIឋKஹLMᙊḄNᐵPᑭᵨᦪSTᔠVWXY᪆HIZ⚪Ḅ[⌕⌶/.

10ூ᪆௃^_`a2—46=d1,fᐭ(4,1),jkᑮYᫀ.ூn௃^_op`x±2y=0,ᑣ^_`X2-4/=2,fᐭ(4,1),ᑣ2=12.ᦑ^_`4—£=1.123ᦑYᫀ`Z_£i=123ூ>௃@⚪ὃD|᪷~op(^_^_`f-4y2=%X⚪Ḅᐵ.15.±4>/2ூ᪆௃ᐜ(ᱥy2=2pxḄFᯠ᪷~4(4,஻)ᑮFḄ`6,ᑡ4+=6,L(T.ூn௃ᱥy2=2PxḄF`x=-gᵫ⚪4+"=6,p=4.2•••A(4,m)ᙠᱥ)2=2Px+,in2=2x4x4>***m=+4>/2ᦑYᫀ`±4&.ூ>௃@⚪A⌕ὃDᱥḄẠ⚪.ூ᪆௃⚪ᑖ᪆/(x)=log2xN0+xNl,ᡠ+ᙠ¦§¨g,2"©/(x)NOḄ¬`¨1,2,ᡠ+©/(M0Ḅc2-12ᭆ᳛`L—1-3,Z—2ὃ@⚪A⌕ὃDM²³ᨵᐵḄHIᭆµḄᭆ᳛jk.

11¶HIᭆµ〉ᵨ¸¹ᑗᙳᒴᑖ½ḄZ⚪ᒹ¿“²³”ஹ“³”ஹ“☢Ä”ஹ"ÅÄ'’ÇÈ⌕(ᭆ᳛ÉÊËḄ"̓ͳ”⌕¹Î.ÏஹY⚪ᐳ70ᑖ஺Y2ᑏᦻÓÔÕஹÖÕ×ᡈÙkÚÛ஺17.(I)q=2".(n)஻=3.ூ᪆௃(I)ᵫÇÜᦪᑡ⚗ឋKÞÇËᦪᑡḄß⚗01✌⚗Þ0Ëᡠ(ß⚗01d(11)2==2"ᵫᦪᑡḄ┯âã,(Þ7.ᡠ(ä.ூn௃(I)ÇËᦪᑡ{%},ᐸ0Ë4>1,#èé஺2+ê=12,êÞëḄÇÜ⚗X1()ᓽᨵ%q+q?=12,20=4+/=%=q=2a=2"n(U)ᵫ(I):b"=nan=n-2”ᑣ7d=12+2-22+323+…+஻.2"27d=1-22+2-23+3-24+---+W-2,,+,âã-T=2+22+23+---+2,,-«-2/,+|=2^-2^-.2"+'n"1-2ᓄî<=2+(஻-1>2§7d,-n-2fl+,+14=0,ᓽ`16—21=0஻=3ூ>௃@⚪ὃDÇËᦪᑡḄß⚗01Þ(Þ01ḄïᵨὃDᦪᑡḄ┯âã,(Þ+ðVWÞïkñò᫏⚪.18.(1)x+=p~=----—d(2)1.)l+2sin2^ூ᪆௃(DᑭᵨôõḄÞÂ01Tᔠ᩽ᙶ᪗ᓄ`LÂᙶ᪗Ḅ01ᓽ(_GḄLÂᙶ᪗dᐜᑏ_GḄøßùᑭᵨ01ᓄî`᩽ᙶ᪗ᓽ;

12(2)ᐜ(ḄLÂᙶ᪗~û(PḄLÂᙶ᪗ýᐸþᓄ`᩽ᙶ᪗ὶ_GC?Ḅ᩽ᙶ᪗ᓽRQḄ᩽ᙶ᪗ᑣ.ூ௃=᦮ᳮ'᜛cose+Gpsine=J^,(1)Cj᜛sin஺+#ᑭᵨ23ᐸ56ᙶ᪗'ᑍ+6y=Gx=V6cos(pr2v2ᔆḄ<='>+ᓃ=1,yT2sm(p62ᑭᵨ23ᐸ᩽ᙶ᪗'஺ஹBC(2)ᵫ(1)GḄ56ᙶ᪗'X+Fy=6,ᦑH᧕M(6,0),N(0,l),CJj.A.P...OPḄ᩽ᙶ᪗'஺=2I22J6P6=Qᐭ0S“+U)=VW=1,X᧡).6P6=JQᐭ"[=2,QU-6l+2sin20IPQ1=|᜛2-1=1ᓽP,஺_Ḅ'Lூb௃d⚪ὃg᩽ᙶ᪗h56ᙶ᪗i_Ḅjᓄlmnᦪjᓄ'<=pmᙠ᩽ᙶ᪗rsi_ḄtuᔠwẠ⚪.19.(1)-(2)z{|᪆(3)z{|᪆eூ᪆௃(1)ᵫ⚪{(=জᑭᵨᦪMHᙠ1)ᓫ⌴C(2)3jᓄ'lnx+'>!f(x)=lnx+L(=ᑭᵨᦪᓫឋᓽᑮᫀxexe

13(3)ᵫ⚪In/,C¢3jᓄ'/(%)±2,ᓄ»n"+l«a.exexᦇ(¿=ᑏ°Aa)1Onx+l),Â'xNl,ᡠp%1,lnx+121.ᡠpK(x)VO,A(x)ᙠÅ,ᱥ)ᓫ⌴Z(x)“প=.ᡠp஺ḄᨬXÊ'eJQ(2)⌕z/(x)+l—x>g(x),BPxlnx+1>—(x>0).ο◀pXlnx+Ð>].xeÒf(x)=lnx+‘ÔÕ|,(x)=L--ᙠ(0,1)*x)<0,ᡠpX)ᙠ(o,l)ᓫ⌴.ᙠ(1,”)tf(x)>0,ᡠpf(x)ᙠ(I,”)ᓫ⌴µᡠpf(x)2f(l)=l.Ò/Ù)4’Â'()ᙠ(஺)ÜÝᦪ’ᡠp஻(஻(஺)“ᡠpᓽ/(x)+l-x>g(x).(3)z{“g(x)=xᙠÞ_(1+8)Ḅà᪷'X஺ᓽlnx0=9,⌕zF(X)2)äᓽ⌕zã(F)ீã(2᳝)_᳝).201æ1cx<᳝)çF(x)=xlnx,Fr(x)=14-lnx>0,ÂCF(x)ᙠ(1,᳝))ᓫ⌴µ.

14æXுXoçFêxë=^,9êxë==ìêë,ÂCíXëᙠêî,Ùëᓫ⌴.Â'᳝Gêl,Xoë,ᡠp2Xêë—%ï/⌕zãêFëìãê2᳝ëFë.ᓽ⌕zxjnᑁñR0Y-Y®òóë=xlnx---ô1ìxìx.0Â'1õ=-^,ᡠp/111%=öÔiJ஻7êXoë=XolnXo—R=O./êxë=l+lnx+=1+111%+/^÷”.\/C1XQ~Xe2Ao-x^ZAO~XÒ஻ê/ë=?,஻D!=.,æreêo,lëçnêrëï0./€ê1ᦈëç஻'ê஺ì0,ᦑ஻Wmax=g-ü஻ê/ëï0,ᦑ0ì஻ê஺ì],Â'2x0-xïl,ᡠpìý—ì0.Âþ¯êxëï0,ᓽÿxᙠ1,ᓫ⌴.ᡠ஻2%ᑴ0=0,ᓽX|InX|2?,.ᦑFX!"᳝$%&'.2ூ)*௃,⚪ὃ/0ᦪḄᓫឋஹᨬ6ஹ0ᦪឤᡂ9:⚪;ὃ/<ᦪḄ=ᵨ;?ᓄAB;᪀⌼0ᦪẆFᓫឋ;GHI⚪.220.1JKWḄ᪗NOPQR+ஹ2=1.TᱥKCḄ᪗NOPQ/=26y.2Z[᪆ூ[᪆௃1ᵫ⚪^|PFi|+|Pg|=bJc=2de|f!2|,ᑨhi)!ḄjkWlmᙊ;ᑏpmᙊḄ᪗NOP;᪷rs☢2ᔣvᦪvwxyz)AᙠTᱥK|pTᱥKCḄ᪗NOP}2~p)!Ḅᙶ᪗;⊤p)Nz஺Ḅᙶ᪗;᪷r⚪|p;+7Ḅ6;ᓽᑨhlᔲᡂ9.|OP\OQ\-

15ூ[௃
1ᵫ⚪^P61=
1,ᜐᵨ=]ᡠ|ᑴ+|!ᕜ=c}=26ᵨ,i)PḄjkWlᱏ;Qᯖ)Ḅmᙊ,^2஺=2d;2c=2;ᡠJKWḄ᪗NOPQ—+/=].3ᡠ0•=%ᓱ,3¢;0=3EE=6#,ᡠ£=2A/3}Q)A26;6ᙠTᱥK஺;ᡠm=¤,ᡠTᱥKCḄ᪗NOPQ%2=2%.2~PXp,%,Qx஺;$¥ᵫ⚪^OP_LOQ,ᡠ¦q_§k=0,ᓽ4=¨
%/0,1111.;------7+-----7=F——7+—5-------3+2©ᡠ|OP|2IOQI2ª+«3y^3="22\;ᡠ36+¬3+1ᡠ®T+¯°Q±6;²±6QLூ)*௃

16*⚪ὃ-ᙊ┵GHḄ45IឋKḄLᵨN⚪ὃ-OᱥHḄQRឋKSᙠGHUḄVᣚXὃ-0ᳮIYZ[\"]᫏⚪.ஹ_821.(1)x+(y—1)-=l(x`0)}(2)—ூ6᪆௃(1)bcdHᓄfghijklᦪᓽopGHCḄghijC43(2)q஺Ḅdrᙶ᪗uᙶ᪗f(pcosa,psma){p>஺),opsina=y,cosa=—;VᐭGHCo6.ூz6௃X(1)dH6Ḅghijfy={|x)dH/,Ḅghijfy—2=:KὶdHIJijklᦪGHCḄghijfy(y-2)=-X2᦮ᳮ/+(,_1)2=1(\0).(2)qQḄdrᙶ᪗uᙶ᪗f(pcosa,᜛sina)(p>0),4(A43ᵫtana=0,X᳝2X

17~ᒹ=t(fுl),?ᓄQ0ᦪ1(஺=1$,$21ÏḄᨬ6;ᓽÐp'Ñ.1%tÒ⚪[᪆(1)ᵫ⚪&;0ᦪf(x)Ḅ±ÓÔQ(0,+Õ);3*(x)=a(l+lnx),QJKf(x)ᙠ)(l,fপ)ᜐḄᑗKOPQy=x-l,஻♦প=a=l,ᡠ1τ[&a=l,b=0./(I)=alnl+b=0,×.2(x)=l+lnx=0,&x=;;e§0Ø;h'(x)>0,f(x)ᙠÙÚ(5,+a)]ᑁᓫ⌴.ᡠ0ᦪf(x)Ḅᓫ⌴ÜÙÚQ(0;);ᓫ⌴ÙÚQ(2)ᵫ(1)&;g(x)=f")+l=lnx+LXXᵫg(xJ=g(X2)(X]0.2X]X?X]X?X]/X-X.-XXX.ßX)⌕'/+4>2,◤'(X]+X2)x—?^>21n-9;ᓽ'$9$$L>21n-,X]X?X[X[XX]2~á=ᑣ⌕'-%>21nã;äåH't-->21nt(t>l).X[X]xx,t2i]2riæ×u(t)=t------21nt,ᑣu'প=1+—7—=1—>0,tஹ;t2tu(l)=0,ᓽt-1>21nt,ᦑX]+X2>2.