2019-2020学年江苏省高二（下）期末数学试卷（附答案详解）

《2019-2020学年江苏省高二（下）期末数学试卷（附答案详解）》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。

2019-2020
ḕ╋ᦪᔁ1.ᔠ4={x\x2<4,xGZ},B={x|-4?5A.-B.-7TC.7TD.-7T2333.X6R,ᑣ“2|21”G“H2-4%+3>0”A.ᐙᑖNO⌕ᩩRB.O⌕NᐙᑖᩩRC.ᐙᑖO⌕ᩩRD.SNᐙᑖTNO⌕ᩩR4.Uᐳᨵ3000XY7Zᵨᑖ\]᪵Ḅ_`a=᪥Y]c1def550Ḅ᪵h7ᐸ
j]20k7l
j]10k7ᑣ=᪥
jYkᦪ5A.800B.600C.1200D.10005../a=2~n,b-InTT,c=21n2,ᑣḄᜧrᐵt5()A.a

1C.ÍÎ_ÏÂᜧ7⊤Æ·ឋ¹º_»ÉᔠᦔËÂÌD.x=7£,y=ᑣ²(x,y)Ñᙠ·ឋ¹º_»y=bx+aÔ11../¦ᦪ/(x)=sin(wx+w)(3>0,\(p\<×Ḅᨬryᕜ5Ú7ÛᔣÝÞᔁdᓫàáâᑮḄ¦ᦪ5Ꮤ¦ᦪ7ᑣᑡ¼`┯åḄᨵ()A./(x)ᐵ²æ,0)ÁçB.ᐵè·x=gÁç1Z6c.f(x)ᙠë-ìíᓫî⌴ðD.f(x)ᙠᡈ7òᓫî⌴ó12../yᦪx,yôõö+2y=2,ᑣ—+*øùḄc¬5()A.1B.2C.3D.413.tana=ë,tan(a+0)=5ᑣtanj?=.14.2019
10ᨴ20ý7þÿ
ὶᜧ15⚗“
ὶ⚞ᐜᢈᡂ”ᐸᨵ5⚗ᡂᙳᱏ⚞ᑖ"#$#%ឋ'()ᘤᱏ“+,920”ஹ1$ᜧ2”☢ᔣ5ᵨ789'Ḅ;᪀=ᔠᜩ@ᱏ”ஹ“ᱯBCᐰEFGHᱏ”ஹIJKLMA/ᱏ“Pᐗ270”ஹSᮣP"Versa/E〉\]^_`ab”cdᨵ1e2fgh15⚗“
ὶ⚞ᐜᢈᡂ”ᑖ"i⌱3⚗lmn,ᙠᐸ1⚗⌱q$#%ឋ'()ᘤᱏ“r,920”Ḅᩩtu⌱vḄ3⚗wxᨵ2⚗ᱏ⚞Ḅᭆ᳛#.15.|}~ᦪ/(x)=ln(l-|x|)+ᔁ,ᑣ/(x)>f(2x-1)Ḅn#.16.|}ᙠRḄ᜻~ᦪ/'(%)/1(x+ᐔ)=-/(x),x€0,§¡f(x)=VLᑣ/(1ᐔ)=>£¤(x-=1ᙠ¥¦§ᐔ,3ᐔ¨ᡠᨵḄªᦪn«¬#17.}~ᦪ/'(%)=Asintox+V5Acosa>x(4>0,3>0),ᐸ³ᑖ´µ᝞´ᡠ·.(1)¸A¬3Ḅ¹º(2)¸~ᦪy=/(x)ᙠ0,¼Ḅᓫ¾¿¥¦.18.A4BCÃA,B,CᡠÄḄÅᑖ"#a,b,c.ÆÇ—ÉSsinA-SsinBb+c(1)¸cost?Ḅ¹:(2)Æ4=C,¸sinBḄ¹.Ì2⚓ᐳ14⚓

219.|}~ᦪ/'(x)=Inx—ax2.(1)a=l¡.জ¸/(x)ᙠ(1J(1))ᜐḄᑗÒ£¤cঝ¸/Q)Ḅ᩽¹Õ.(2)Æf(x)஺ឤᡂظ஻ḄÚ¹Ü.20.#Ý%fÞᦔàáâãäl§ᢇæḄfÞçᜓ#nçᜓfÞÞéḄêëìíᑖ"gæஹîçᜓᡠfÞḄÞéᔜð@ñÚ100tÞélmêëòóᡠᨵÞéêëᢣ᪗¹ᙳᙠ(15,45
öᑁøêëᢣ᪗¹ᜧ30ḄÞé#ùêé,êëᢣ᪗¹ᙠ(15,30
ḄÞé#ᔠúé.îçᜓᡠfÞḄÞéêëᢣ᪗¹᝞⚣᳛ᑖü£´ᡠ·æçᜓᡠfÞḄÞéêëᢣ᪗¹᝞⚣ᦪᑖ⊤ᡠ·.êëᢣ᪗⚣ᦪ(15,20]2(20,25]8(25,30]20(30,35]30(35,40]25(40,45]15ᔠ]100(1)þᑖÿτ
ஹᵨᜓᡠḄḄ᳛.(2)᳛⊝ᜓឋḄ⌕ᢣ᪗᳛ᜓḄឋ.᪷"#$%⊤ᦪ"(ᑏ*☢ᑡὶ⊤(ᓫ012)4ᑨ6ᔲᨵ95%Ḅ9:;(3)ᵨ⚣᳛=>ᭆ᳛@ᜓᡠḄABCDE32ᐸAᦪGX2HXḄᑖJᑡKᦪLMN.

3P᳛/RS21.#$Vᦪ/'(x)=—(2a+l)x+2lnx.(1)_a>0bHVᦪ/(x)Ḅᓫcdef(2)_a=0bg1/஺)<2j%-4(ᐸA0GnᯠpᦪḄqᦪ).22.rs▾Guvrwxy◤⌕{|⊈~ᔲG□ឋᨵn(neN*)⊈~᪵ᨵ*w{|1জ⌲{|◤⌕{|஻fঝᔠ{|ᐸk(keN*)k>2)⊈~᪵ᩈᑖE᪵ᔠᙠ{|.{|G▢ឋḄ⊈~ᐰG▢ឋ¡k⊈~᪵¢⌕{|£¤¥᝞{|G□ឋG¥§k⊈~¨©ª«G□ឋ£⌕p¬⌲{|®bz⊈~Ḅ{|ᦪ°ᐳGk+1.Ꮇᙠ³´{|Ḅ⊈~᪵Aµ᪵Ḅ{|□ឋ¶▢ឋ·¸¹Ḅµ᪵□ឋḄᭆ᳛Gp(0

4èᫀêë᪆1.ூèᫀ௃Dூë᪆௃ë1X2<4,XEZ,.-->4=(-2,-1,0,1,2).ACiB={-2,-1,0,1}.ᦑ⌱1D.ᐜHõᔠ4,öõᔠBEøõᓽ×.⚪û⌕ὃvõᔠḄøõÍüýÑþẠ⚪.2.ூᫀ௃Bூ᪆௃ᡧḄR,ᵫᡧ☢=ᵨ=?R=2,3603603ᡠᡧḄ!"/=$=%=?,1801803ᦑ⌱B.ᵫᡧ☢()S=☊,R,-ᵨ!"()1=$ᓽ,!".0⚪1⌕ὃ45ᡧḄ☢()!"()Ḅ-ᵨ678Ạ⚪.3.ூᫀ௃Bூ᪆௃ᵫ|%—2|21%s1ᡈ@23,ᵫM-4x+3>0x<1ᡈ%>3,ᡠ|x-2|>1H/-4x+3>0ḄI⌕JᐙᑖᩩNᦑ⌱B.✌ᐜ,QRJS)T᪷VᐙᑖI⌕ᩩNḄWXᓽᑨZ.0⚪ὃ45JS)Ḅ[\ᐙᑖI⌕ᩩNḄᑨZ678Ạ⚪.4.ூᫀ௃Cூ᪆௃]ᵨᑖ^_᪵Ḅa[bc᪥efg_h1Rij50Ḅ᪵0ᐸgmnop_20qmrop_10qᑣmtop_50-20-10=20qᦑc᪥mtopefqᦪ3000xv=1200.ᦑ⌱C.᪷VwxᩩNyᔠᑖ^_᪵ḄWXᓽ,.0⚪1⌕ὃ4ᑖ^_᪵Ḅ-ᵨ678Ạ⚪.5.ூᫀ௃A

5ூ᪆௃0

6n4))==0.24,ᦑ⌱B.ᵫwx᝱ᑖḄTᵫ᝱ᑖḄឋ,P(0<<<2).0⚪ὃ4᝱ᑖḄᱯ\ᡠ⊤¢Ḅ£Xὃ4᝱ᑖgQRj“¥஺Ḅ-ᵨὃ4Ḅឋ678Ạ⚪.7.ூᫀ௃Bூ᪆௃§cᡧḄ/•¨©CO.n-------ᵫ⚪£CC=150(¨)஺஺=100(¨)NCDO=2;^6஺'ᙠC஺஺g஺஺2+஺஺2-2஺஺஺஺8560°=஺஺2,*ᓽ1502+1002-2x150x100x|r2,r=506(¨).ᦑ⌱B.©OC,ᵫCD஻04xZCD஺=60஺ᵫ¯°WᳮᑮOCḄ"³.0⚪1⌕ὃ4ᵨ¯°Wᳮ,r´µ"Ḅᐵ·H᪀⌼r´ºᑭᵨ¯°Wᳮ678Ạ⚪.8.ூᫀ௃Aூ᪆௃ᵫ⚪x/(x)=^x4—jx2+mx+n(xG/?),ᑣ((x)=x3-3x+m,§/i(x)=7—3%+m,xG.R,ᑣh'(x)=3/—3,»6⚓ᐳ14⚓

7'hh'(x)=3x2—3=0,%[=—1,%2=1ᑣ¿À<—1ᡈ%>1Âh(x)>0|¿n1V%V1Â,Å'(%)V0,ᡠÅಘᙠÇÈ(n8,-1),(1,+8)Êᓫ⌴Ì|ᙠÇÈ(n1,1)Êᓫ⌴Í,Îᦪf(x)ᨵ᩽ᜧÒÓÔ°ᗠ)2×ὶn2ீ…ÛÜ஻᦮ᦪᡠmḄÒ1.ᦑ⌱A./(%)ßà,á/'(%)=x3-3%4-m,᪀⌼âᦪh(%)=%3-3%4-m,%6/?,ᑭᵨáᦪẆåᦪh(x)Ḅᓫឋyᔠ⚪£xᦪ/'(x)ᨵ᩽ᜧÒᑣ,JS)æyᔠ஻᦮ᦪᓽçyè.0⚪ὃ4ᑭᵨáᦪẆåᦪḄᓫឋ¥᩽ÒbÛ,éᦪÒ᪀⌼âᦪæᑭᵨáᦪ,çᓫÇÈH⚪Ḅᐵ·ὃ4êᓄìí¥ᵨ67g᫏⚪.9.ூᫀ௃ACDூ᪆௃7A,/(%)=Inòᵫó>0,@1,ᓽf(x)ḄWXô(-8,-l)U(l,+8),ᐵ7÷/(-X)=11151ù=Inú=Tnü=-/(x),ᦑ/'(x)᜻ᦪþᔠ⚪£|7B,7(x)=2W,R,/(-%)=/(%),ᦑ/(x)Ꮤᦪᔠ⚪;C,/(%)=0ḄR,!/(-%)=-/(%),ᡠ#/(%)$᜻ᦪᔠ⚪&'f(x)=)Ḅ(-8,0)U(0,+8),ᐵ./02—1!/■(—X)=4=5=-f(x),ᦑ/(x)᜻ᦪᔠ⚪.2—11—2ᦑ⌱8ACD.ᵫ᜻ᦪḄ⌲⚗ᑨ=ᓽ?.@⚪A⌕ὃDᦪ᜻ᏔឋḄᑨ=ὃDFGHᳮJ'KLẠ⚪.10.ூPᫀ௃ABDூS᪆௃ூᑖ᪆௃@⚪ὃDVWឋXᐵYᦪḄXᐵᢣᦪḄ[\]Ḅ^_`Ḅ#a᪵@cdefg_hḄᐵYKLẠ⚪.ᑭᵨWឋXᐵYᦪḄᑨ=⌱⚗4ᑭᵨXᐵᢣᦪḄ[ᑨ=⌱⚗8&ᑭᵨ\]Ḅ^_`Ḅᑨ=⌱⚗C&ᵫ᪵@cdefg_hḄᐵYᑨ=⌱⚗D.ூSP௃S8ᵫWឋXᐵYᦪḄ?mn•Ḅpq|r|tuv1wxyz{|}ḄWឋXᐵឋt~ᦑ⌱⚗A&

8ᵨXᐵᢣᦪR2ᩭfgᦔR2tᜧḄᔠᦔtᦑ⌱⚗8&ᔠᦔḄ$ᵫ\]Ḅ^_`ᩭḄ\]Ḅ^_`tᜧᔠᦔt],ᦑ⌱⚗C┯8᪵@cdᙠWឋfg_hᦑ⌱⚗஺.ᦑ⌱8ABD.11.ூPᫀ௃ABDூS᪆௃S8/(%)Ḅᨬᕜᡠ#3=ἠ=2,ᡠ#/(x)=sin(2x+w),£¤ᔣ¦^§3yᓫ©ª«ᑮy=sin(2x-=+s)Ꮤᦪᡠ#-m+w=g+k7r(kez),|0|,ᵫC⌱⚗?mf(x)ᙠᨬÍ]ᓫÈ⌴Êᦑ஺┯.ᦑ⌱8ABD.ᵫᕜÎÏ3,Ðᵫ^§ªᏔᦪÎÏÑÒÓ?«f(x)S᪆ÔÐᵫÕᦪḄឋÖ⌲⚗ᑨ=ᓽ?«S.@⚪A⌕ὃD×ØᦪS᪆ÔḄᦪ£¤Ḅ|ᣚÕᦪḄ£¤eឋÖὃDÚÛÎSJ'Kc᫏⚪.12.ூPᫀ௃CDூS᪆௃S8ᦪx,yÝÞx+2y=2,ᡠ#x+2(y+l)=4,ᡠ#3+ß=à+2+ßáâxy+1xy+112=%+—+2(y—1)H------%"y+i12~x+y+1121=(x+7+l)[x+2(y+1)]X4=äå+æ+ä▣=+5)=2,4ஹxy+1'4kyjxy+1J4n!ènéâ2=ᓛᓽë=£,y=äw“=”ᡂïxy+13J3ᡠ#ïL+òḄᨬq8óḄ?Jôq$3`4.xy+14õ8⚓ᐳ14⚓

9ᦑ⌱8CD.ᵫ⚪øï1+ßᓄä+_,ᑭᵨᩩü`L@ÇÔᓽ?ÎÏóḄᨬqÒÓ«xy+1xy+1ÏPᫀ.@⚪ὃDVL@ÇÔḄýᵨþ⚪ÿὃ
ᓄᓄ᫏⚪.13.ூᫀூ᪆௃tana=1,tan(a+0)=%11tan(a+0)—tana1•••tan£—tan[(a+/?)-«]=--------------------,——--"IA-.1+tan(a+£)tana-/஻?71+2X3ᦑᫀ56S85(a+0)-a,ᯠ:ᑭᵨ=>?ḄAᑗCᦪEFᓄG:Htan(a+0)ItanaḄJKᐭᓽNOPJ.Q⚪ὃ
RSᮣUVᵨ=>I?ḄAᑗCᦪEFᓄGOJ.W⚪ḄᐵYᑭᵨ/?=(a+£)-aZ[8ᣚ]^_Ạ⚪.14.ூᫀ௃gூ᪆௃᪷d⚪e15⚗“ijkὶm⚞ᐜpᢈᡂs”ᐸ5⚗5vᱏ⚞x,10ᱏ5yvᱏ⚞xᐸ“z{920”}]^vᱏ⚞x.~⌱PḄ3⚗ᐸ1⚗⌱5ឋᘤvᱏ“{920”5A,ᑣᐳᨵ=%=91~ᙠ⌱P1⚗5“{920”Ḅᩩ⌱PḄ3⚗ᨵ2⚗]^vᱏ⚞x5Bᑣᐳᨵn(B)=C,o+Cl=46ᡠᙠ⌱P1⚗5“{920”Ḅᩩ⌱PḄ3⚗ᨵ2⚗]^vᱏ⚞xḄᭆ᳛5£=n(A)91ᦑᫀ5ᵫ⚪N¥15⚗“ijkὶm⚞ᐜpᢈᡂsᐸ5⚗5vᱏ⚞x10ᱏ5yvᱏ⚞x~⌱PḄ3⚗ᐸ1⚗“{920”5A᪷d¦ᔠḄV¨ᓽNOP©4),~ᙠ⌱P1⚗5“{920”Ḅᩩ⌱PḄ3⚗ᨵ2⚗]^vᱏ⚞x5B,ªPn(B),ᨬ:᪷dᩩᭆ᳛Ḅ¬¨ᓽN.W⚪ὃ
ᩩᭆ᳛ḄOI¦ᔠᦪḄVᵨI¬¨ᳮᩩᭆ᳛Ḅ¯°I¬¨EF⚪ḄᐵYὃ
RS⚪ᑖ᪆²I¬¨².15.ூᫀ௃(0,9

10ூ᪆௃ᵫ⚪eCᦪ/஺)=111(1´µ|)+·Ḅ¯°x5(´1,1),ᐵ^¸¹º»¼ᵫ/'(-X)=ln(l-I-x|)+1+d=ln(l—|x|)+Á=/(%)ᡠ/(x)5ᏔCᦪÃx20ÄCᦪ/(x)=ln(l-x)+ÅÆ5Cᦪy=ln(l-x)Iy=Áᙠ(0,1)ÈÉ5ᓫË⌴ÍCᦪᡠf(x)ᙠÏ0,1)ÈᓫË⌴Íᑣ/(x)ᙠ(´1,0)ÈᓫË⌴Ð-1<%<1¼Æ5/(x)>/(2x-1),ᡠ,-1<2>—1<1,ª0<%

11ᨵ4ᐵX=7Tᓽᦪ.⚪⌕ὃᦪ᜻Ꮤឋᕜ#ឋὃᦪ$Ḅ&'(Ḅ)ᦪ*⚪Ḅ+ᓄὃ-./012᫏⚪.17.ூ5ᫀ௃8(1)ᵫᦪ;<=0=2,=f(x)=2sino)x+275cos3X=4sin(

12⚪ὃmḄᵨ*⚪ὃm-./02᫏⚪.19.ூ5ᫀ௃8(1)জQ=1/(%)=Inx-x2,wQ(0,+8),/()=82x=/প=-1,/প=-1ᡠSᦪ/()ᙠ(1,/(1))ᜐḄᑗ'(Qy+l=-(x-l),ᓽx+y=0.ঝD(஺)>0,=0¦ᦪ/Xx)ᙠ¨,+8)LᓫW⌴©ᡠSf(x)ᙠx=/«=᩽ᜧ$᩽ᜧ$᩽®$.(2)¯f(x)<0ឤᡂ±²Inx-ax2<0,ᡠSa2´ឤᡂ±X2ᓽQ-¶)max,¸g(x)=º7ஹ_x-2x

13x_l-21nx9½=Dg'(x)=o=x=V^ᡠSxG(0,5/7),g'(x)>0,g(x)ᓫW⌴XxG(Ã,+oo)g'(x)<0,g(x)ᓫW⌴©ᡠSX=Äᦪ«=ᨬᜧ$g(x)max=/ᓽa2ÆᡠS஻Ḅ«$ÉQJ,+8).ூ᪆௃(1)জᑭᵨÊᦪḄËÌÍᑗ'(.ঝᑭᵨÊᦪᑨÏᦪḄᓫWឋ᪷Ñ᩽$Ḅw.(2)Òl+ᓄQa>ឤᡂ±ᓽa>Ó)maxᑭᵨÊᦪᦪg(x)=ºḄᨬᜧ$,ᓽ=b5ᫀ.⚪ὃÊᦪḄÔᔠᵨ⚪2◤⌕ᳮ×ØÙ12᫏⚪.20.ூ5ᫀ௃8পÚÛܸᜓᡠÞßḄßàḄáâà᳛Qញåx100%=70%,ÚÛæ¸ᜓᡠÞßḄßàḄáâà᳛Q5x(0.06+0.03+0.02)x100%=55%.(2)⊡ᐙê᦮Ḅ2x2ᑡὶ⊤᝞ïᡠðñáâàáâàᔠÛܸᜓßà3070100æ¸ᜓßà4555100ᔠÛ7512520012⚓ᐳ14⚓

14d=2óó::õ⃬=4.8>3.841,Mᨵ95%Ḅ÷øùQ“ßàâûü)ܸᜓᨵᐵ”.(3)ᵫ(1)
ܸᜓᡠÞßḄáâà᳛Q0.7,þXḄᡠᨵ/«$Q0,1,2,3,•••P(X=0)=Cj,X(1-0.7)3x0.7°=0.027,P(X=1)=ÿx(1-0.7)2X0.71=0.189,P(X=2)=Cfx(1-0.7)1X0.72=0.441,P(X=3)=ᡈx(1-0.7)°x0.73=0.343.•XḄᑖᑡX0123p0.0270.1890.4410.343ᦪE(X)=0x0.027+1x0.189+2x0.441+3x0.343=2.1.ூ᪆௃(1)ᵫ⚣ᦪᑖ⊤(30,45
Ḅ⚣ᦪ◀100,ᓽᜓḄ!"#᳛%ᵫ⚣᳛ᑖ&'((30,45
Ḅ⚣᳛/*+,*+ᓽ-ᜓḄ!"#᳛%(2)ᐜ/ᑏ2x2ᑡὶ⊤᪷3K2Ḅ4567ᐸ9:;<=▬⊤?Ḅᦪ3@ABCᓽDEᑨG%(3)ᵫ(1)ᜓᡠIJḄ!"#᳛0.7,KXḄᡠᨵMN;0,1,2,3,ᯠP᪷3Q⚗ᑖSᭆ᳛Ḅ'5⌲VSEWXXḄN;ᡠBYḄᭆ᳛ᓽZᑖᑡ@KSZᦪ.\⚪ὃ_⚣᳛ᑖ&'(ஹ⚣ᦪᑖ⊤ஹabឋdeஹQ⚗ᑖஹfᦣhijklḄᑖᑡmᦪnopὃ_IBᦪ3Ḅᑖ᪆=ᜐᳮMstuvẠ⚪.21.ூxᫀ௃(1)ᵫ⚪z{ᦪḄ|}~(0,+8),r(x)=ax-(2a+1)+-=2-(2a+i)+2=(),7vyzXXXজa=f'(x)>0ឤᡂbᦑf(x)Ḅᓫ⌴(0,+8),ঝ00,ᙠ(2,f'(x)<0,Ḅᓫ⌴(0,2),*,+8),ᓫ⌴(2,ঞa>ᙠ(0,>(2,+8),f(x)>0,ᙠe,2),f(%)<0,.•./Q)Ḅᓫ⌴(0,*,(2,+00),ᓫ⌴,2)%(2)a=0ᵫ/(%)<2e*—x-4,◤e">Inx+2,¡g(X)=ex—Inx—2,%>0,•••g'(x)=¢V5g'(Xo)=0,£=-(00,g(x)ᓫ

15⌴Q¤=Eg(x)NZ¦VḄ᩽¨;©ªᨬ¨;••g(x)Ḅᨬ¨;ªgQo)=ex°-lnx-2=/-InᜧV2=^+%-2>0ᡂb00ᦑ/(%)<2e*-x-4ᡂb.ூ᪆௃(1)ᑭᵨ¯ᦪB஺ᑖ°±²³ᑖ´SE{ᦪ/(%)Ḅᓫ%(2)a=0ᵫ/(x)<2ex—%—4,◤e">Inx+2,¡g(x)=ex-Inx—2,%>0,ᑭᵨ¯ᦪSE{ᦪg(X)Ḅᨬ¨;g(%o),Eg(&)>0,ᦑ/(%)<2ex-%-4ᡂb.\⚪µ⌕ὃ_·ᑭᵨ¯ᦪẆ¹{ᦪḄᓫឋm᩽;ª?᫏⚪.22.ூxᫀ௃(1)»ា½¾¿3ÀdeÁMÂ□ឋ᪵\ᐰÆdeEᩭAÈÉᑣP(4)=ᐰËᕒ=஺%(2)জ᪷3⚪zE(G)=k,$ḄM;1,k+1,ᑣP(§2=1)=(1-p%P&=k+l)=l-(l-p)k,ᡠE(A)=(1-P)k+(*+1)[1-(1-P)fc]=k+l-k(l-p)k,ᵫE(G)=E(A)8/c=k+1-k(l—p/,ᡠp=1-(9(kN*ÏÐ>2)%eঝᵫup=1-ᑣE&2)=k+l-keV,ᡠk+1—keZ0,4f(X)=Inx-ᑣ1(x)=_%=n஺>0),xe(0,4)f(x)>0,/(Ò)ᙠ(0,4)Óᓫ⌴%x6(4,+8)f(x)<0,f(x)ᙠ(4,+8)Óᓫ⌴,aaÔ/(8)=ln8-2=31n2-2>0,/(9)=lng9--=21n3--<0,44ᡠkḄᨬᜧ;8.ூ᪆௃(1)ᑭᵨ᣸ᑡ*ᔠ×ØᐺᭆhḄᭆ᳛45Sᓽ%(2)জÚ|ÛḄM;1Ð+1ᑖ´SEᐸBYḄᭆ᳛SEE(%)ᑭᵨE(A)=E(A)ᓽSEPᐵukḄ{ᦪᐵÝ5P=f(k)ᑏE|}~ᓽ%ঝSEp=1-eWE&)Ḅ;ᵫ⚪zᑡEÞnᐵÝ᪀⌼{ᦪ/(x)=Inx-¡ᑭᵨ¯ᦪẆ¹ᐸឋ"ᓽZᑮxᫀ.\⚪ὃ_·ᭆ᳛ã⚪ḄS×fᦣhijkl×ᐸᑖᑡmfᦣhijklḄS=Yᵨä×·ᑭᵨ¯ᦪẆ¹{ᦪឋ"ὃ_·åæçᳮMs=è7Mstu?᫏⚪.é14⚓ᐳ14⚓