2023年北京高考数学仿真卷十(含详解)

《2023年北京高考数学仿真卷十(含详解)》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。

ᜓᡊ2023ᓅὃᦪᔁ10.⌱⚪ᐳ10⚪ᑖ40ᑖ⚪4ᑖ1.4ᑖᔠ!={-2,-1,0,1},B={x\x>-i},ᑣ4n5=
A.{-2,-1}B.{0,1}C.{-1,0,1}D.{-2,-1,0,1}2.4ᑖ2+x
>=4+4%+஺2)2ᑣ4=
A.10B.20C.40D.803.4ᑖ*+,┵Ḅ/01᝞1ᡠ45+,┵Ḅ678A.24B.36C.54D.1084.4ᑖ9:;<-4•=1Ḅ=>᳛@0,ᑣᐸBC;DE@)a~h~A.y=±xB.y=±\/2xC.y=±\/3xD.y=±2x5.4ᑖᙠH☢JKᙶ᪗NxOyOJ;/ḄDE@y=Zx+l
+3,QR1,1
@ᙊ>TUJ;/VᑗḄᡠᨵᙊOYZᨬᜧḄᙊḄYZ@A.2B.2]C.4D.86.4ᑖ^_ᙠR`Ḅᗩbᦪ=@cᦪdRA2,8
,e஺=flog3
b=/log5
,052c=f(/n),ᑣa,b,cḄᜧᐵN@()A.a

1D.c

2B.ᨬ◤⌕15TJUᨵ1;Z[ᫀC.ᨬ◤⌕16TJUᨵ1;Z[ᫀD.ᨬ◤⌕15TJUᨵ2;Z[ᫀ].^_⚪ᐳ5%⚪bᑖ25ᑖS%⚪5ᑖ11.5ᑖcdeᦪ2=fᑣz2=1+z12.5ᑖcdᐭjᑖklmnC:x2-/=1Ḅsஹuᯖ33jwxxḄᚖnzlmnC{P,஺}3ᑣlmnCḄ~n[Ḅ☢.13.5ᑖᙠAABCa=2ᵨb=2,ZA=60°.ᑣ°=_____ᔳ”=______.sinC2214.5ᑖcdᱥnCV=4xᙊ£:+4=141ᓃ0ᨵ2.ᐳᯖ3ᑣ3Ḅᙶ᪗ab;ᱥnḄnᙊz{A,B,Oᙶ᪗¡3fAAOB¢££7ᑣᙊ஺Ḅ¤¥᳛e=.15.5ᑖ¨©ª«ªᔲ®ᑮ°ᯠ²ᚖḄ³´_µḄᵪ·¸}᪷ᵯnᩚ¼QḄᵯn½¾Ḅ¸_¿ÀÁÂḄÃᐝÅ⍝ḄÇÅ.ÈÉEÊËᨵOÌḄmn7᝱.ÎϸÈÉmnᙠᦪ©¸ÐÐÑÒÓ´n.Ó´nḄOᐵᳮÖᙠjஹ×Øஹᐝ©Ù[☢ᨵÚÛḄÜᵨ.ᙠាÞḄᙶ᪗ßÈàáᦪḄ⊤ãäZå/x=ᐸ°,஻èéÐᦪêᳮᦪe=2.71828…,ì{áᦪZxå²íÖîïḄ.জ᝞ña=b,áᦪfx᜻áᦪঝ᝞ñ÷ø0,/xᓫJáᦪঞ᝞ñ"0,áᦪfxûᨵé3ট᝞ñý=1,áᦪ/xḄᨬ%þ2..ÿ⚪ᐳ6⚪ᑖ85ᑖ16.13ᑖ—b=5,B=-,ᩩজஹᩩ4ঝஹᩩঞ⌱!"#$%&ᙠ()*+,-.ᑡ0⚪:

3(I)sinC;(II),A/WCḄ☢?.ᩩজtanA=2,ᩩঝ/+/-/=2E,ᩩঞF=G.17.(13ᑖ)᝞JKLMABCD-A4CQḄQ☢/WCDRST%2ḄUVWX☢4Y஺[%\WX☢ADRAQ☢^8,AA,=4,E,M,NᑖaR8C,BB,AQḄb.t(I),cdMW஻g☢GD£j(II),k☢l஺-£E-ᵨḄopq.(14ᑖ)2022st24uvwᝍ᪍ᓛ{|}~“ᓅvᝍ~”,ᙠ2022s02ᨴ04~2022s02ᨴ20ᙠᓅὶᔠRᔊ*t"vwᝍ|~ᓅᡠᨵ*⚗ᡠᨵḄ*⚗.᝞⊤R¢£¤2ᨴ52ᨴ6¥ᜩḄ§¨⊤:2022sᓅvᝍ~§¨⊤(t©᱐«¬2020s11ᨴ)2022sᓅ§®§®§®2ᨴ¯°³ᳫµ¶¸⍝º¼ᨵÀÁÃÄÅᓅÆÇÈᓫÊvwË1ͱ²¿Â¿·¥⚗··¥⚗ᵫ·µ·᪵½

4··²Î·§ᦪ5(Ð)**11*11*1166()**1*1111117ÑÒd“*”Ô⊤ÍᨵÕRΧḄÖ§jᦪ×Ô⊤ÍᨵØÙᦪÚḄΧ.19.(15ᑖ)ÛᙊC:Ý+y=l(a>b>0)ÞbP(O,1),ßà᳛%.a1b22(I),ÛᙊCḄ᪗ãV¨d(II)äå)/:y=fcv+æçÛᙊCᨵ¥#Õ[ḄèbA,B,ÍIPARP8Ié,êᦪkḄ£qì.20.(15ᑖ)íᦪ/(î)=%ð"1,g(x)=ex-ax,a&R.(I),ñ)y=/(x)ᙠb(0,f(O))ᜐḄᑗ)V¨j(II),g(x)Ḅᓫô®õj(III)äíᦪ1(x)=/(x)-g(x),ÍH.1é,,ö(x)ᙠ®õ0,+oo)*Ḅᨬq.21.(15ᑖ)øùᙠR*Ḅíᦪ᜛(x)ḄJûR"ᩩüýÕþḄñ)ᙠÿ
Q(x)ᦪ.4=/஺<4<…=6,ᐸᑖ…*
a,ᑗᑖᡂ஻(஻€N*)
τ,"M{a,b,n}=|ᑜᑖ"M{a,b,%}.(I)@A*(x)=sinx,BM{0,C2}Ḅᨬᜧ(DEF)G(II)@A9(a)<(p(b),BFHe(x)ᙠ
a,I<ᙠ“ᨬ>ᑜᑖ”M{a,6,1}Ḅᐙ⌕ᩩMNx)ᙠ
O“IᓫQ⌴S.

5ᜓᡊ2023Yᓅ[\ὃᦪ^_`ᔁb10d⌱f⚪bᐳ10⚪iᑖ40ᑖ,j⚪4ᑖd1.b4ᑖd@Alᔠn={-2,-1,0,1}8={x|x>T},u1v▲|8=bdA.{-2,-1}B.{0,1}C.{-1,0,1}D.{-2,-1,0,ூ}ᫀ௃Bூ௃HGA={-2,-1,0,1d,B={x|x>-1}8={0,1}.ᦑ⌱HB.2.b4ᑖd@Ab2+Xd5=%ᑣ'=bdA.10B.20C.40D.80ூ}ᫀ௃Cூ௃H⚗b2+xd5Ḅ1Ḅ⚗'C>22V=40X3,ᡠa,=40,ᦑ⌱HC.3
3.b4ᑖd┵Ḅ᝞ᡠ┵Ḅb

6A.24B.36C.54D.108ூ}ᫀ௃Bூ௃H᪷1¡¢£Ḅ¤ᣚH¦§'¨☢ª«'6,\'3Ḅ¬┵;᝞ᡠHᦑ⌱HB.4.b4ᑖd@AN®¯-4=1Ḅ°±᳛'ᑣᐸ³´¯µ¶'bda~h~A.y=±xB.y=±\[lxC.y=±\/3xD.y=±2xூ}ᫀ௃A29ூ௃HN®¯-4=13>0·>0dḄ°±᳛'2,¸6e=&,ᓽᨵc=abaᵫ¿2=/+/,¸662=஻2,ᓽ"=a,ᑣ³´¯µ¶'y=±x,ᦑ⌱HA.5.b4ᑖdᙠÀ☢¡Áᙶ᪗ÄxOy¡¯/Ḅµ¶'y=Abx+ld+3,b1,1d'ᙊ±9É¡¯/ÊᑗḄᡠᨵᙊËÌᨬᜧḄᙊḄËÌ'bd

7A.2B.2ÍC.4D.8ூ}ᫀ௃Bூ௃H¡¯Î=%஺+1)+3ÏÐÑ(-1,3),@AḄᙶ᪗'ᑣ"(1,1)'ᙊ±9É¡¯/ÊᑗḄᡠᨵᙊËÌᨬᜧḄᙊḄËÌ'r=\PM\=7(-1-1)2+(3-1)2=2ᦈ.ᦑ⌱HB.6.(4ᑖ)@AÐÔᙠRḄÖᦪ/(x)=x"'(஻z'Ùᦪ)ÏA(2,8),iSa=/(log3),/?=/(log5),052c=f(m),ᑣ°,b,cḄᜧᐵÄ'()A.a

8ூPQ௃QR.&5TU=x,ᑣx=A
Q9Rx=5ᡈ0YZ[\.ᦑ⌱RB.8.Y4ᑖ\bcdᱥfC:y2=2pxYpkY\\ḄᯖmnF,pqr᳛nGḄufdᱥfCvwxP,Qzm
qp
Qzmᙠ|fvḄᢗ~ᑖnM,Nzm
ᑣM7WNḄ☢nY\A82R8824T2n2T2A.-pB.---pC.-----pD.---p3333ூMᫀ௃DூPQ௃QRdᱥf஺*28஺\Ḅᯖmᙶ᪗n
஺\,ᵫ⚪9ufpQ:y=,y2=2PxὶILD
9R12x2-20/7x+3p2=0,),=3XQ9RP(3,p),஺(^^,Gp)
ᑣMN=Ep+0p=p,ᙠ&VCVF%
MNvḄ஻=p,l„146262flllᑣ"FN=]X¢0*஻=¢0.ᦑ⌱RD.Y4ᑖ\⏀¤¥+ᓻ§x¨©ᐰḄ«¬n.᪷¯°±R¤²ᕒḄ100´⊈¶%⏀·¸¹nº0,20\»
᪀ᡂ¾⏀¤¿nY«¬\
Àᑮº20,80ÂgḄᓽn⏀Ť¿,

980஻?gÇvn⏥⏀¤¿.ɤ²ᕒÊ˱¹Ḅ⏀Å
ᐸ⊈¶%Ḅ⏀·¸¹vᓣᑮË1.6Îg/ÂL,ÏᙠÐÑÊ⏀Å
Ò⊈¶%⏀·¸¹ÓÔÕÖ×20%,⌕Ú᪀ᡂ⏀¤n
ÛÜÒ×ÝY\YÞὃᦪ¯R0.84=0.41,0à=0.26,0.6=0.17,0.810=0.11\A.4ÔÕB.6ÔÕC.8ÔÕD.DÔÕூMᫀ௃DூPQ௃QR.⏀ÅÝxÔÕÅá᪀ᡂ⏀¤
160xY1-20%/<20,.-.0.8'<0.125,ᦑ⌱RO.10.Y4ᑖ\ÉåæçèḄéêåæm᝞ëìíᑖî
çèïA,B,C,஺éêåæmÉðñᔜ50êᙠóᵨôõö◤⌕øõ〈ïA,B,C,஺éêåæmḄðñú᦮n40,45,54,61,üú᦮ýþᙠwÿ
᦮1ᡂ᦮ᑣA.ᨬ◤⌕16ᨵ2"#$ᫀB.ᨬ◤⌕15ᨵ1"#$ᫀC.ᨬ◤⌕16ᨵ1"#$ᫀD.ᨬ◤⌕15ᨵ2"#$ᫀூ+ᫀ௃Aூ-.௃./᪷1⚪345ஹ஺7ᜐ9:;<ᡠ>3ᜐ@᦮5஺ᜐ@᦮11ᦑᨬ◤⌕᦮16

10;BḄ#$ᫀᨵ2"$ᫀজ/A᦮10F஺6᦮5FCᯠHCI᦮1F஺J$ᫀঝ/A᦮11FD,B᦮1FA᦮4FC,ᦑ⌱/A.O.PQ⚪ᐳ5S⚪Tᑖ25ᑖS⚪5ᑖ11.5ᑖVWXᦪz=2_,ᑣz2=1+zூ+ᫀ௃2iூ-.௃./42=2-=_”a=1-஺=1+b1+Zl+/l-lᡠ>z2=l+i2=2i,ᦑ+ᫀ/2i.12.5ᑖgWᓃiᑖjklmC:x2-p=1ḄqஹrᯖtF2vxwḄᚖmyklmCz{,Q7ᑣklmCḄ}~m$JḄ☢.ூ+ᫀ௃y=±y/3x,12ூ-.௃./klmC:Vᓃ=1Ḅ஽=1,b=6,c=2,3}~mḄ$y=±Jx=2,#y=±6,-1=±3,|J|PQ|=6,Ḅ☢gx4x6=12.ᦑ+ᫀ/y=±73x,12.13.5ᑖᙠAA8Ca=2y/l,b=2,Z4=60°,ljc=______J=.sinC

11ூ+ᫀ௃6
ᒹ3ூ-.௃./ᵫᳮ᦮ᳮ஺2-20-24=0,.c=6ᡈc=-4(),6x——qᱏᵫ¡ᳮ¢=£ᡠ>si©#=¤,Bᡠ>ᒹ¦=O=§.=sinC3721314ᦑ+ᫀ/6,.32214.5ᑖgW¨ᱥmC/V=4xª«ᙊ஺/+®•TSAbு஺ᨵ´ᐳᯖP,ᑣ{Ḅᙶ᪗ab"·;¹¨ᱥmḄºmª«ᙊyzA,B,O·ᙶ᪗»¼A4OB·½¾¿¾Àᑣ«ᙊ஺ḄÁÂ᳛e=.ூ+ᫀ௃1,0¼ÄJ222rvூ-.௃./¨ᱥmC/V=4xª«ᙊ஺/=+Å=1஻>6>0
ᨵ´ᐳᯖ{ᑣ{Ḅᙶ᪗·1,0
,ab~¨ᱥmḄºmª«ᙊyzA,87O·ᙶ᪗»¼A4O3·½¾¿¾À,ᡠ>A(-l.l),,ᡠ>4+4=1,/6=1,b1=]+"/b1222ᡠ>ÁÂ᳛/e=------τ3+751+6-2\2ᦑ+ᫀ:2

1215.(5ᑖ)ÇÈÉÊÉ·ᔲÌ3ᑮ/ÎᯠÏᚖḄÐÑJQÒḄᵪÔ_7᪷ᵯmᩚ×ḄᵯmJØÙḄ_QÚÛÜÝḄÞᐝà⍝Ḅâà.ãäåæçᨵ;èḄlmÀ᝱.êë_ãälmᙠᦪÈ_ììíîïÑm.ïÑmḄ;ᐵᳮñᙠiஹòóஹᐝȤ$☢ᨵôõḄBᵨ.ᙠាÅḄᙶ᪗øãùúᦪḄ⊤üý#>f(x)=ae'+t(ᐸa,஻ᦪᳮᦪe=2.71828…)ᦪ஻x)!"#$%Ḅ.জ᝞)a=b,+,ᦪf(x).᜻ᦪ0ঝ᝞)2<0,+,f(x).ᓫ6ᦪ0ঞ᝞)8>0,+,ᦪf(x):ᨵ<0ট᝞)>=1,+,ᦪ/(x)ḄᨬAB.2.ூDᫀ௃ঝঞூGH௃HIJa=Z?M/(x)=ae'+N*=a(e*+e-*),ᦪf(x)QR.Sf(-x)=a(e*+"*)=/(x),.♦.ᦪ/(x).Ꮤᦪ.••.জ┯X0"YᦪSy>0,y=e-*[ᦪSy>0.Ja>0ஹ6<0Mᦪf(x).YᦪJa<0ஹb>0Mᦪ/(X).[ᦪ.•.ঝ$%0-.•ab>0,:.a,b_$ᡈ_ab•.•/>()Se->஺."(x)NQd.ᦪf(x):ᨵ<0.•.ঞ$%0J஺=ᓃ=—1M/(x)=-(ex+r)„-2y/e'-e-x=-2,ᨵᨬᜧBN2,.•.ট┯XIᦑDᫀ.Iঝঞ.i.HD⚪(ᐳ6A⚪lᑖ85ᑖ)16.(13ᑖ)pqAABClu—S6=5,B=-,vᩩxজஹᩩxঝஹᩩxঞ⌱zN{|.pq}ᙠ4H!ᑡ⚪I(I)sinC0(II)AABCḄ☢.

13ᩩxজtanA=2,ᩩxঝv+c?-“2=26c,ᩩxঞ3஺=.ூDᫀ௃(I)(H)1510ூGH௃HI⌱জ(/)tanA=2,A.┦,ᡠcosA=,sinA=,55x/23sinC=sin(A+B)=sinAcosB+sin3cosA=(x--=-----210,2⌲(஻)ᵫ$QᳮasinB5/2TᡠAABCḄ☢.S=LsinC=L2ViUx5x¡¢=1502210⌱ঝ(I)b2+c2-a2=2y/5c,ᵫ£QᳮcosA+஺i22bcᦑA.┦sinA=255y/23VwᡠsinC=sin(A+B)=sinAcosB+sin8cosA=x---=-----0210<2¥»•5x----(஻)ᵫ$Qᳮ஺=§¨=—©N=2&6,sinfiV2VᡠAA8CḄ☢.S=—6f/?sinC=—x2>/10x5x^^=1502210⌱ঞ(I)36==15,ᡠc=3\/5b=5,B=—4

14[ߟ\/2375XT3ᵫ$Qᳮ——,ᡠsinC=sinBsinC510@(஻)ᵫ(/)qcosC=±-To-.c>Z?,ᡠC>8,ᦑ஺ᨵ®H,AXᒹ+BxabsinA=sin(B+C)=sin8cosC+sinCcosB=±102102..v5.2\J5ᓽHnsinA=——ᡈsinA=-----,55JsinA=MSBc=1bcsinA=1x5x3>/^x^'=",AA52252JsinA=M-5=i/jcsinA=—x5x3#>x=15.522517.13ᑖ°᝞±²³´ABCQ-AgCQḄµ☢488¶·.2Ḅ$¸¹º☢4£>£>,.»¹Sº☢A£°£°Aµ☢AB89=4E,M,Nᑖ¼8C,BBஹ,A஺Ḅ<.I°½IMN//¾☢CQE0¿II°©☢஺-GE-4Ḅ£B.2DூDᫀ௃¿I
ÀH᪆¿II°21ூGH௃¿I°½ÂIÃ"ᵨC,ME,.M,Eᑖ¼.BCḄ<,

15ᡠME//4C,RME=-BC,tb.N.AQḄ<ᡠMD=0A஺ᵫ⚪Êq44//ocSAA=£>cgc//A஺S4c=4஻ᦑMEUND&ME=NDͲ¶¹MVDE.¾Î²¶¹ᡠGMN//ED,bMNU¾☢CQE,EDu¾☢CQE,ᡠMN//¾☢CQE0(II).µ☢438$¸¹ᡠC£)_L4>b.º☢ADD.A,µ☢ABCD,Sº☢ADD.A,Cµ☢ABCD=AD,CZ)u¾☢ABCDᡠ8J.¾☢AQ°Ab஺஻u¾☢AO'Aᡠ஺J_b.º☢ADD,A.»¹ᡠAD±DDஹ,<஺.ᙶ᪗Ö<×ØÙÚÛᙶ᪗Ü£>-Ý᝞±ᡠÞᐸ஺(0,0,0),G(O,2,4),£(1,2,0),C(0,2,0),ᡠà=(0,2,4),£>£=(1,2,0),.C£>_L¾☢ᡠ஺C_L¾☢BCC4,ᦑá=(0,2,0).¾☢GEB1ḄN{âᔣä,[«-DC.-0[2y+4z=0ManÊç=(x,y,z).¾☢஺GE☢Ḅâᔣäè,ᓽén-DE=01x+2y=0êy=-2,Î=¿4,N2,1°,

16ëëiஹτr\z4DC,n—42J21ᡠcos=____=----=---------\DC\-

17\2xম21.©☢஺-Cg-gḄ¾☢íᡠ©☢£>-GE-4Ḅ£B-⏀.18.¿14ᑖ°2022ïð24ñòóᝍ᪍ᓛ÷øùúûü“ᓅþÿ
ᝍ”,ᙠ202202ᨴ04~202202ᨴ20ᙠᓅ
ὶᔠᔊ!"#$%ᝍ&ᓅ'$ᡠᨵ*⚗,-.
'$ᡠᨵḄ0⚗,.᝞⊤4562ᨴ52ᨴ69ᜩḄ;<⊤:2022ᓅᝍ;<⊤>!?᱐ABCD202011ᨴF2022ᓅ;H-.;H
;H2ᨴIJ*K*ᳫMNO⍝QRᨵTUVWXᓅYZ[ᓫ]%D^_`0a0b0ac09⚗c0c09⚗ᵫc*Mc᪵f`ccgc*00;ᦪ5>iF6

186()**1*1111117nop“*”r⊤^ᨵsg;Ḅt;Aᦪur⊤^ᨵvwᦪxḄg;.(I)(i){ᙠ9ᜩ|ᜩ}~"t;⚗,ាᑮ*K*ᳫḄᭆ᳛A(ii){ᙠ9ᜩ|ᜩ}~"g;9g;ាᙠ";HḄᭆ᳛A(II){ᙠ2ᨴ6(H)Ḅᡠᨵg;X;HḄᦪXḄᑖCᑡE(X).ூᫀ௃(I)(i)P(A)=—=—(ii)P(B)2±I63)Zf==(n1005042735ூ¤¥௃¥p(I)(i)“ᙠ9ᜩ|ᜩ}~"⚗,ាᑮ*K*ᳫ”¦§A.ᵫ⊤¨©ᙠ9ᜩ|ᜩ}~"⚗,ᐳᨵ10x10=100¬s®ᐸាᑮ*K*ᳫᐳᨵ2¬s®.ᡠ°ាᑮ*K*ᳫḄᭆ᳛P(A).10050(")“ᙠ9ᜩ|ᜩ}~"g;9g;ាᙠ";H”¦§3.ᵫ⊤¨©ᙠ9ᜩ|ᜩ}~"g;ᐳᨵ6x7=42¬s®ᐸ9g;ាᙠᓅ;Hᐳᨵ2¬s®ᙠ;Hᐳᨵ4*4=16.ᡠ°P(B)="²=³.427(II)}~´xXḄᡠᨵ¨µ5¶1,2,3.᪷¸⚪ºP(X=I)W=&,½(X=2)=CA6+GY+GCp+gj+6+12+4Ä,CH35CH3535C\-C\-C\8=P(X=3)=-Æ-35}~´xXḄᑖCᑡ:

19X123p4238353535ᦪÈE(X)=lxg+2xÊ+3X*=21.3535353522A19.(15ᑖ)Ì©ÍᙊC:>=l(a>A>0)ÑÒP(O,1),ÔÕÖ᳛5.(I)ÍᙊCḄ᪗ØA|=|P8|áâᦪᡃḄ5¶å.ூᫀ௃(I)—+/=1(II)(-æ0)4ூ¤¥௃¥p(I)ç⚪ºèé=1.c2=a2-b\ᵫ“c73¥è/=4.ஹ°2ᡠ°ÍᙊCḄ<+9=1..........(5ᑖ)4-(II)¥®1:(1)^=0áìᯠᡂï.(2)^ðñ0áজó=0áìᯠsᡂï.ঝ^.0,ᓽöñ0áᵫ÷[x+4/-4=0J(4k2+l)x2+8m/a+4m2-4=0.úÚÛ/ÝÍᙊ஺Ḅᨵ9ÞÒ,ᡠ°ü=64>22-16(442+l)(m2-l)>0.

20ᓽ4ý>*F.ÙA>%,yj,8*2%Fᑣ+=%NOiIஹI,zஹc-8k2m_2mᡠ,+%=஻%+/+2=2+[+2=4jᡠḄ.4k+14k+1m]m-4k2-1MPḄ!᳛k=4#"MPMP-4rnk-4mk4#+1%|B4|=|(8|,*"P_LAB.m-4%2-1ᡠ&P•k=k=-\-4mk4F+1/*m=—356=_"Lil9ᐭᑮ*=*4*+1>©K+1-A0,39ᓽE“8-mA0,9ᡠ8-4/>0.TJ-UkVe,I᝕K0.LMᡠN=OᦪAḄQRTU-&,W..............15ᑖ;kx+m,*4A2+ld+8_`+4_2—4=0./Z2[ᵫx~+4y-4=0cd/efᙊCḄᨵjkl=ᡠm=64m2k2-164#+lWX2-lA0mᓽ4k2+l-/n2>01.

21p&&=X),8*2=y).ᑣ/+=.]2ᵫ|PA|=|P31*=■<+(y—I)?=X2+(%-1)?•2ᓽ(%>)(᳝+ᜩ)+(v-M)(X+%-2)=0ᓽ(%>K2)(ᓰ+W)+%(x>X?)y(%+x,)+(2w-2)]=0.z{(|-஽)[(42+1)(%,+x)+2^(>7i-l)]=0.2ᵫ~K஽*2+1)(ᓰ+&)+2k(m-1)=0.ᡠ-----------+2k(m-1)=0.4k2+1ᓽk(3m+4k2+1)=0.4A-2+1/*2=0ᡈ=-|.35=—±19ᐭᑮ(1)=*4#+1-Kᓃ>0,39ᓽ(4#+1)(8-`)°,9ᡠ8-4%2>0./*-<%<0.ᡠOᦪ"ḄQRTU(-=&)..............(15ᑖ)20.(15ᑖ)ᦪ/(K)=/6*T,g(x)=e'-ax,awR.(I)y=/(x)ᙠ(0,f(0))ᜐḄᑗ(IDg(x)Ḅᓫ(HDpᦪᡝ(x)=f(x)-g(x),a..l,((x)ᙠ[0,+<»)MḄᨬR.ூᫀ௃(I)y+l=O(II)q,0=g(x)ᙠRMᓫ⌴£஺A0=g(x)ᙠ(fo,/஻a)ᑁᓫ⌴¦,

22ᙠ§/஻a,+8)ᑁᓫ⌴£(HI)-2ூ«/௃/:(I)cdf(x)=x2ex-1,ᡠf'(x)=(2x+x2)ex.ᡠ/(0)=T=f'(0)=0.ᡠy=/(x)ᙠ(0,/(0))ᜐḄᑗdy+l=0.................(3ᑖ)(II)cdg(x)=ex-ax,²³´dR,ᡠg'(x)=ex-a.................(4ᑖ)জ4,0=g=(x)>0.ᡠg(x)ᙠRMᓫ⌴£..................(6ᑖ)ঝa>0=¸g[x)=0,Jx=Ina,ᡠ஺>0=g(x)eg'(x)ᙠ(-co,+oo)MḄ»ᓄ½¾᝞À[X(-oo,/஻a)Ina(Ina,—)g'(x)—0+g(x)᩽Rᡠg(x)ᙠᑁᓫ⌴¦=ᙠ(/஻஻,+<»)ᑁᓫ⌴£.................(7ᑖ)ᵫজঝÃ=a,,0=g(x)ᙠRMᓫ⌴£.a>0=g(x)ᙠ(Yo,/஻a)ᑁᓫ⌴¦=ᙠᵫa,+8)ᑁᓫ⌴£(III)cdF(x)=/(x)—g(x),ᡠF(x)=(x2-1)ex+ar-1,

23ᡠF'(x)==+2x-1>*+a.¸᱐x)=F'(x),ᡠ஻'(Ç)==+41+1)᜛A0_________________(9ᑖ)ᡠ஻(x)ᙠ§0,+oo)Mᓫ⌴£=ᓽ(x)ᙠ§0,+8)Mᓫ⌴£.______(10ᑖ)ᡠ('(x)..F(0)=-l+a................(12ᑖ)cd4..1,ᡠ('(x)..O.................(13ᑖ)ᡠF(x)ᙠ§0,+8)Mᓫ⌴£...............(14ᑖ)ᡠF(x)..((0)=-2.............(15ᑖ)ᡠa.l=((x)ᙠ§0,+8)MḄᨬRU-2.21.(15ᑖ)²³ᙠÊMḄᦪQ(x)ḄÌÍU>ᩩÏÐÑÒḄ=IᙠÓÔM᜛(x)ÑUÕRᦪ.p஻=…×=6,ᐸᑖÙ15§“=Úᑖᡂ஻(஻eN*)k§Jß,f,ß,à=b,஻}=|ᑁ஺)-᝖GI+|*(G-ä2)1+•…+1᝖Ù-᝖”=æ᜛(x)dᐵèᑗḄ஻▤ᑜᑖḄ“ëìíî”.M{“=6,”}Q*ᨬᜧRI஻Q*ᨬR"o=æQ(x)òᙠ"ᨬóᑜᑖ"M{a,b,n].0(I)°(x)=sinx,M{0,õ=2}ḄᨬᜧRM()(Ñö÷)(II)°(a)(b),÷[Q(x)ᙠ§a,Mòᙠ"ᨬóᑜᑖ"M{a,6,1}Ḅᐙ⌕ᩩûUe(x)ᙠ§a,ÚMᓫ⌴£.ூᫀ௃(I)2(II)ü/᪆ூ«/௃/[(I)M=|Vp(0)-^(|)|+1(p(^)-(p{7T)|=2()(II)÷ÿ:
0(x)ᙠa,b]ᓫ⌴ᑣ(Textranslationfailed),ᦑ᜛(x)ᙠ,ᑗ!ᙠ“ᨬ$ᑜᑖ"M{ab.1}*9
e(x)ᙠa,8,!ᙠ“ᨬ$ᑜᑖ"M{a81},Ꮇ.Q(x)ᙠᑗ0ᓫ⌴ᑣ!ᙠ1,xea,2b],
2v%2ᑣ஺&)89/)

24ᵫI9(a)~(p(b)|„\(p(a)-᝖C)|+|9(0)EFG)|+|F஽)-9(b)|(*),JKLJ*(a)-^(x,)..01