2022-2023学年湖南省岳阳市岳阳县高三上学期入学考试数学试题（解析版）

《2022-2023学年湖南省岳阳市岳阳县高三上学期入学考试数学试题（解析版）》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
ᐭὃᦪஹᓫ⌱⚪⚪5ᑖᐳ40ᑖ.1,ᔠ{=2—},8="”$=A.-1,1
B.{—1}C.{—1,1
}D.{-1,1}2.%&'()'=cos9+isin᜛,-ᯠ/ᦪḄ1ᦪeஹ2ᦪᓫ3iஹ45ᦪὶ7ᙠ9ᐙᑖ;<=ᦪḄ>?@ABC“ᦪEḄᜩ᫑“HIᦪzJKei"+i
.z=i,ᑣ|z|=
5A.—B.1C.J2D.223.aeR,ᑣ“a>6”M“6>36”ḄA.ᐙᑖNO⌕ᩩRB.O⌕NᐙᑖᩩRCᐙ⌕ᩩRD.TNᐙᑖUNO⌕ᩩR4.V32ᝍXYᵱ[\]73'^_`Eabcdᢕ\166'^f\198'^gᡂi364'^ḄᡂiCEj\]klmno⌼qḄrstu.᪷wxyᑜᑖḄᨬᜧ;]d}\]ᡂiᩭ\]ḄgXᕒḄ;]ᨵḄᐵ7᝞C;`\]Xᕒ;]ᐵ7Ḅᢚ☢EᨬXᕒ;]>\]Ḅᐵ7ḄM\]XᕒḄ;]\]ᐵ7ᢚ\]/'^430-----4103903701350•330/310/2902702505060708090100110120Xᕒ;]/'^

1A.y=m\[x4-n(m>0)B.y=mx+n(¢>0)C.y=mx14-n(m>0)D.y=max+n(m>0,¦awl)5.5ᦪ/(x)Ḅ¬CR,7(°+2)CᏔ5ᦪ/(2x+l)C᜻5ᦪᑣ()A.µᡫ஺B./(-1)=0C./ফ=0D./(4)=06.»¼ᱥ)2=4xḄᯖ¿ÀÁ¼ᱥÃA(xi,yi),Bgy2)Æ¿᝞Ç¢+È=6,ÉÊ|AB|=()A.6B.8C.9D.107.ᦪᑡÏ%ÑJKq+3a,+…+2஻-1஺“=2஻ᑣᦪᑡḄÖ10⚗>M2/2+1A.—B.—C.—D.—212321232x—1,x<18.5ᦪ஻x=,ᑣÚÛ//%=1᪷ÜᦪCᑍ>1A.3B.5C.7D.9Þஹß⌱⚪àᑖá/2ᑖᐰ/5ᑖᐳ20ᑖ.9.ᑡã⚪EäåḄMA.HÁæ☢ᨵÆÜ'ᐳ¿ᑣÁᙠæ☢ᑁB.᝞ÇÆᩩè☢ÁEḄᩩÜæ☢æéᑣêᩩÁëæ☢ìÂC.HÁ/æ☢aæéᑣ/æ☢aᑁḄÁæéᡈè☢D.Hæ☢a஻æ☢4Áaua,Á஻u/?,ᑣa஻b10.5ᦪñAsin3x+0,3>o,|Ḅàᑖö᝞÷ë5ᦪḄöᔣxùúÚᔣæû᜛Ü26ᓫ3l,ᡠýþ¿Ḅÿᙶ᪗ᩭ2ᙶ᪗ᑮᦪ_/uḄ.ᑡḄ21B../("?)=&O

271C.)*y=/(x)-./0=1+5(467)71D.8|X1—X2|<3ᑣl/UD—B2)|<411.8DEF(0,+8)Ḅᦪ/(x)ḄJᦪ/'(%)MNO,'(x)+l>0,Q/(1)=1,ᑣᑡRᡂTḄ()A.஻e)>0B./g)<2C.Vxe(l,e),/(x)>0D,᳝e(l,e),/(x)_/([)+2<012.“ᑁᔁ”ᢣ"aᦻᓄdefᑮᨬhḄi᝱klmnᨵpqrDᩭ1nᨵpqstḄi᝱uvwxᙢᙠᑁ{|}~ᩖḄ᰿ᦪḄᵫᑮᦪRḄ*.ᝅḄᔜiḄ⚔ᑮ*Ḅᫀᐹq[ᙠ1ḄiABC஺R¢ḄᑁEFGH,Q£/BEG15஺[¦iEFGHḄᑁiMNPQ,Q£NFMN=15஺®¯°±²iᡂ▢´{ᑖḄᫀ᝞ᡠ¸.¹º"iḄ¼(ᐸRº1iABC஺Ḅº2iEFGHḄḄ=EE,…)º஻¿ÀÁÀi(▢´{ᑖ)Ḅ☢ÃS.(ᐸRº1¿ÀÁÀiAEHḄ☢ÃS-º2¿ÀÁÀiEQMḄ☢Ã⎃…)ᑣ()A.ᦪᑡÇ4ÈÉÊÁḄËÊᦪᑡc.ᦪᑡÇ%ÈÉÊ2ḄËÊᦪᑡD.ᦪᑡমÈḄÔ஻⚗ÖÁஹÎÏ⚪(Ñ⚪5ᑖᐳ15ᑖ.)13.×3ØᓅÚÛᝍÝÞßὅᐰ{ᑖâᑮã᪵åæஹç⍝éå2⚗ê°±ëìÑØÞßὅvᑖâᑮ"⚗êÑ⚗êíîᑖâ"ØÞßὅᑣᵬஹðñØÞßὅᑖâᙠ"òḄᭆ᳛.14.ᙊöᙠ¿*y=-x+1÷Qø¿*x+y—2=0ùᑗ(1,1)ḄᙊḄû

3i215.8ᦪ/஺=3/+/"§ᙠþÿ
஺+5ᙠᨬᑣᦪ஺Ḅ.16.ᙊ”Ḅx-2—5cose2+y—5sin62=l8e/?,ᙊCḄX—22+V=4,2ᙊM3456P8ᙊCḄ9ᩩᑗᨵRSᩩTUজcosB=-§Yঝb+c=2^⚦1=",Z[☢RSᩩTI⌱^9SᩩT_`RJaᙠ.19SᩩTIbᨵজᔩdefᳮᵫY2iᢣkl9SᩩTmnAABCḄ☢o.18.pqᦪᑡ,st1uvq=1,…[4+2,“᜻ᦪᏔᦪ1}ᡈ=%,ᑏk4,ᡭmnᦪᑡs2Ḅ⚗Y2ns4Ḅ20⚗.19.ᙠC┵Q-ABC஺I☢ABC஺aAO=2,QO=QA=6,QC=3.1fU☢☢ABC஺Y2n☢J3—Q஺—AḄ☢JḄ.20.ᖪ├ᨵ9S᥎ᝄ¢A¢ᑁᨵ5S“1”¤ᳫ9S“2”¤ᳫRS“3”¤ᳫஹCS¦¤ᳫB¢ᑁᨵ§S“1”¤ᳫ§S“2”¤ᳫ¨©᥎ᝄª«¬¨®¯°±²u100ᐗᨵ5©A¢ᑁ᥎ᝄ´µ°±²u3ᐗᨵ5©8¢ᑁ᥎ᝄ´µ᥎`ᨵᦪ¶ḄᳫᑣIᝄ“1”¤ᳫᝄ50ᐗ“2”¤ᳫᝄ2ᐗ“3”¤ᳫᝄ5ᐗ᥎`¦¤ᳫᑣ·ᨵᝄ¸.1¹º»®¯°±²X½[᝱ᑖ¿N150,625,ᜩᨵMXX®¯iû°±²Xᓫ:ᐗᙠÆÇ100,150]ᑁmIᝄḄÉᦪ.ÊËÇᐭ᦮ᦪ

4▬UX~N4cr,ᑣ5b=1஺>8>0Ḅíஹî⚔6ðîᯖ66PCḄ563PFាôᚖöᑖ<÷஺8஺ᙶ᪗ú6ûðüý.1nìᙊCḄY22Fö

52023$%&'()*ᐭ)ὃ-ᦪ)/ஹᓫ⌱⚪(56⚪5ᑖᐳ40ᑖ.)1.:;<ᔠ>{«2=-21},=E=F,ᑣH5=()A.(T,l)B.{-1}C.{(—1,1)}D.{-1,1}ூRᫀ௃CூU᪆௃y=-2x-lூᑖ᪆௃UYZ[12\]ᙶ᪗ᓽaU.y=xy=-2%—1X--1ூbU௃ᵫdᡠgAn3={(_i/)},171ᦑ⌱nC.2.opqreM=cos8+isin஺yzᯠ|ᦪḄ}ᦪeஹ~ᦪᓫiஹᦪὶᙠ/ᐙᑖᦪ)Ḅ“ᦪ)Ḅᜩ᫑“ᦪz(e'"+i).z=i,ᑣ|z|=()A.—B.1C.J2D.22ூRᫀ௃AூU᪆௃ூᑖ᪆௃ᵫ:;a\y(*+i)-z=iᑭᵨᦪᦪrḄ◀¡¢ᓄ¤¥ᔠᦪ¦Ḅ§¢qrU.ூbU௃Unᵫ=cose+isin஺\d”=cos4+isin«T=-li(-l-i)II.ᑣᵫ(*+i)-z=i,\z=¬------1(-l+i)(-l-i)22ᦑ⌱nA.3.:;adR,ᑣ6”°“4>36”Ḅ()A,ᐙᑖ²⌕ᩩµB.²⌕ᐙᑖᩩµC.ᐙ⌕ᩩµD.¶ᐙᑖ·²⌕ᩩµ

6ூRᫀ௃AூU᪆௃ூᑖ᪆௃ᵫᐙᑖᩩµஹ²⌕ᩩµḄ¸¹ᑨ»ᓽa\U.ூbU௃ᵫ⚪¼a>6,ᑣ/>36,ᦑᐙᑖឋᡂ¿«/>36ᑣa>6ᡈ஺<-6,ÂÃa>6,ᦑ²⌕ឋᡂ¿«ᡠg“a>6”°“/>36”Ḅᐙᑖ²⌕ᩩµ.ᦑ⌱nA.4.Ä32$ᝍ¡ÆᵱÈÉÊ73qÌ'ÍÎÏÐÑgᢕÉ166qÌÓÉ198qÌÕᡂÖ364qÌḄᡂÖ×ÉÊØÙ/ÚÛ⌼ÝḄÞßàá.᪷ã[äᑜᑖḄᨬᜧÊgèÉÊᡂÖᩭêÉÊḄÕëìí¡îᕒḄÊᨵ/¸Ḅᐵ᝞óôõÎöÉÊëìí¡îᕒÊ÷øᐵḄᢚóú☢¦ûᨬüýþ¡îᕒÊÉÊëì÷øḄᐵḄ°ÉÊ¡îᕒḄÊíÉÊëìᐵᢚó
ᕒ/A.y=m>Jx+n(m>0)B.y=mx+n(m>0)C.y-mx1+nCm>0)D.y-max+n(>0,஻>0awl)ூᫀ௃Aூ᪆௃ூᑖ᪆௃᪷ᦪy=x,y=Gy=y=2\y=1Ḅ"#ᱯ%ᑨ'.(2)

7ூ*௃ᙠ,-ᙶ᪗0123ᦪy=X,y=y[x,y=x2,y=2,y=(gjᙠ7-#▲Ḅ"#)᝞"ᡠ;<ᵫᦪ"#)᪷ᢚ?"@A)ᨬCDEFGᕒIJKLJMNOPḄᐵ0ḄRy=+஻(TU0),ᦑ⌱

8A.6B.8C.9D.10ூᫀ௃Bூ᪆௃ூᑖ᪆௃ᵫᱥ?Ḅᯖ)ᵫ.ூ*௃w^?4Bᯖ(1,0),ᡠm|4B|=M+X2+P=6+2=8.ᦑ⌱

9ூ*௃¶4=/(@»´µ/(4)=1.(1)¼஻<1¯)ᑣ=r஻[=1¿(2)¼஻>1¯)ᑣ/(஻)=|ln(஻-1)|=1,ᓽIn(஻-1)=±1)ru=l+-,w=l+e.23᝞Ä"ᡠ;ᦪᑡD.ᦪᑡS,ḄA"⚗DூFᫀ௃BDூH᪆௃ூᑖ᪆௃JᵨLMNᳮஹ54Qᦪtanl50=2-SᑮUVWA/X'Ḅ()ᐵZᓽ\]AஹC^_ᑏa4Ḅb⚗=cdeS,,b⚗=cᓽ]BஹD^.ூfH௃ᵫ⚪$‘""j=ᑣAH/rᓽtanl50=t=2-3»23\ᓽ=AH=ᓃ56ᦑὡ=Bn;66621212

13,•SW]£|ᦑp5+…+s“q.1+…+q[1r(|)t,Dn.ᦑ⌱wBDஹ⚪(⚪5ᑖᐳ15ᑖ.)13.x3yᓅ{|ᝍ~ὅᐰᑖᑮ᪵ஹ⍝2'⚗yὅᑖᑮr'⚗'⚗ᑖryὅᑣᵬஹXyὅᑖᙠrḄᭆ᳛.ூFᫀ௃-3ூH᪆௃ூᑖ᪆௃ᔠ]ᩩᑖea¡ᦪDᵬXyὅᑖᙠrḄᦪᯠ/ᑭᵨ¤ᐺᭆ¦Ḅᭆ᳛=cᓽ\eH.ூfH௃ᵫ⚪§\]¡ᦪCCwὡ=6,ᵬஹXyὅᑖᙠrḄᦪ2,(ᓽᵬ¨ᑖᑮ᪵ᡈ⍝)ᦑᵫ¤ᐺᭆ¦Ḅᭆ᳛=c\]ᡠeᭆ᳛0=2=1.63ᦑFᫀw—.314.ᙊ¬ᙠ3y=-x+l®¯3x+y-2=0°ᑗ²³(1,1)ḄᙊḄW<12ூH᪆௃ூᑖ᪆௃Ꮇ$ᙊ¬ᙶ᪗ᑭᵨᑗ³\᪀⌼Weᙊ¬ᙶ᪗dnN¹ºᵫUᑮᙊḄW.ூfH௃$ᡠeᙊḄᙊ¬(஺ߟa+1),ᑣᙊ¬¯(1,1)¼¯3x+y-2=0ᚖ3—a+1—1]-----------=1,Hw஻=—,•.ᙊ¬஺r12

14ᦑFᫀw(x-)=•i215.jQᦪ=§ᙠÅÆ3,0+5)®ÊᙠᨬpÌᑣÍᦪaḄÏÌÑ<ூFᫀ௃[-3,0)ூH᪆௃ூᑖ᪆௃ᵫ⚪§eÓ/(x)=/+2x=x(x+2)nNQᦪḄᓫÖឋØdaQᦪḄÙᵫÚeÍᦪaḄÏÌÑ.ூfH௃ᵫ⚪§/(x)—x2+2x—x(x+2),ᦑf(x)ᙠ(-8,-2),(0,+8)®<ÝQᦪᙠ(-2,0)®<ÞQᦪx=0ᡈX--3ᑣᔠÚ\]—"34a<0[a+5>0Hf-310)ᦑ⌱C.ூ³â௃⚪ὃäÓᦪḄåᔠJᵨæçèéḄêëì²᫏⚪.

1516.ᙊMḄW(X-2-5COS6)2+(v-5sin^)2=l(^e/?),ᙊCḄW(x-2î+y2=4,Vᙊ஻®ï§r³Pᙊ஺ḄXᩩᑗFEஹPFᑗ³ᑖEஹFᑣð.ñḄᨬpÌ.ூFᫀ௃6ூH᪆௃ூᑖ᪆௃$NCPE=a\aNEPE=2a,ᑭᵨ54QᦪḄNòóæô☢ᔣöᦪö7ḄNò\a÷.d=|N+--12,ᑭᵨᙊḄøùឋúe|NîḄÏÌÑᔠûLQᦪḄᓫÖឋ\ed•ᓽḄᨬpÌ.(fH௃$NCPE=a,ᑣNEPF=2a,PEᵫᑗ)Nᳮ\|dHüᖪ=ὊÿCOS(7——PC
•=•cos2a=|.(2cos2a_1)=

16ᙊMḄᙶ᪗2+5cos6,5sin3,ᑣỏ|=^2+5cos^-2
2+5sin^
2=5,ᵫ|ỏ1W▬1,ᓽ4446,ᑣ16K!"36,3?ᵫ#$%ᦪḄᓫ(ឋ*+%ᦪy=x+^-12ᙠ-.16,36/ᓫ(⌴1,2_____32M=162+
.
4ᨬ6716+^--12=6.16ᦑ9ᫀ;6.ூ=>௃@⚪ὃCD☢ᔣGᦪGHḄᨬ7+I2JὃCK#$%ᦪᓫ(ឋḄLᵨ+ὃCNOPQ+RSTU⚪.VஹX9⚪217.ᙠAA8cT+“+b,c[\A,B,஺ᡠ_Ḅ`+asinC=s/3c-cosA>ᨵcdᩩf;জcos8=-§hঝb+c=25⚦1=ᮞij/☢cdᩩfT⌱lmdᩩf+nc\opᙠ.1qmdᩩfTPᨵজᔩstᳮᵫh2
vᢣxymdᩩf+z{AABCḄ☢H.ூ9ᫀ௃1
~Pᨵজ+ᳮᵫX᪆h2
P⌱lঝঞ+J.2ூX᪆௃ூᑖ᪆௃1q᪷ᳮᵫasinC=JGc-cosA+sinAsinC=6sinCeosA+XA=g+ᩩfTᨵজ+cosB=-<-++ᑣ=,ᐔ!4=gh32V332
P⌱lঝঞ+ᵫᳮ6=/+஺2/JC+ᵫb+c=2g+bc=2,ᓽX.ூX௃পasinC=>/3ccosA>ᵫᳮsinAsinC=6sinCeosA.sinCH0,/.sinA=Gcos>,:cosAH0,tanA=G.,.,4€0,ᐔq+h.4=.ᎷmdᩩfTᨵজ+ᑣx.᝞:

17211(2TI\VcosB=¡——;.Be\,7i,£2A+3+Cᐔ+322I3)(2)P⌱lঝঞ.:A=,•ᵫᳮ/=/+஺2-3ccosA+ᓽ6=஺2+02-6
/?+c=20=++be=2be=2Jz?=V3+1b=y/3-l,Xᡈᡠ¦5cpᙠ,\c=/3-lC=5/3+1S"c§csinAJx2x^=¨©"c2222,q<³஻+1,µ᜻ᦪ+18.ª*ᦪᑡ¬®¯e'±²+2,¶Ꮤᦪ1q¹a=a,ᑏx¶+b,z{ᦪᑡdḄ»⚗½¾;2n22
{4ḄÀ20⚗.ூ9ᫀ௃(1)4=2,4=5,Á=3஻-1h(2)300.ூX᪆௃ூᑖ᪆௃1
Â;ᵫ⚪ÃÄᔠ⌴ᐵǾÈᦪᑡḄᱯÊ+ᯠÌ{ᐸ»⚗½¾ᓽ;2
Â;ᑖÎ{+ÄᔠUÏᦪᑡÀ஻⚗½¾ᓽ{ᦪᑡḄÀ20⚗.ூX௃X;1
Â!ூᨬÐX௃;Ñᯠ2஻Ꮤᦪ+ᑣ஺2"+1=஺2.+2,஺2"+2=஺2஻+1+1+ᡠ¦஺2"+2=஺2"+3+ᓽ2+|+3+Ò4=஽=%+1=2+ᡠ¦2[¦2✌⚗+3½ÏḄUÏᦪᑡ+S[a=2J=5J=3஻-1.Â!:᜻ᏔᑖÕÖ×ᵫ⚪Ã*4=1,஺2=2,஺3=4,ᡠ¦஽=஺2=2,᜜=4=4+1=5.ᵫ஺ᔣ4=1஻᜻ᦪqÙ4ᔣ=2஻Ꮤᦪq*,

18ᦪᑡjÚ⚗Û+஻᜻ᦪ+ᑣᐸÌ⚗ÜÝÞ⚗ḄÏ1,஻Ꮤᦪ+ᑣᐸÌ⚗ÜÝÞ⚗Ï2.ᡠ¦4+2-4=3(஻eN*),ᑣÁ-b+(n-l)x3=3n-l.AÂc!:ëìÂᵫ⚪Ã*ᦪᑡ¬íq=1,஺2=4+?+ᵞ-(஻eN*).3(»ᡠ¦ò=%-1-------=1+1=2,1-1223(-1)33(-1)2b)=%=%+5———=஺3+1=஺)4~-H———F1=%+2+1=2+3=5,ᑣ±=஺2n=(஺2஻஺2“1)+(஽2஻—1஽2஻2)+…+(஺2-")+஻]=1+2+1+2+…+2+1+4=஻x1+2(஻-1)+1=3²-1.ᡠ¦a=2J=5,ᦪᑡûîḄ»⚗½¾b„=3n-\.(2)[Â]:᜻ᏔᑖÕÖ×5=a+a+aH—+a=(a+a+aH—a)+(a+a+^z+•••+6Z)20x232Qt35i924620=(Z?j-1+Z?2—1+4]+,•,+b[°—1)+4+z+&+•••+b[0(VMXIO_=2XIO=3OO2:ᑖᵫ⚪!"ᦪᑡ%%'()4=1,a=a_+1,a=a+2,2n2nt2n+l2nᡠ+a2n+l=a2n+2=«„-1+3•2ᡠ+ᦪᑡ%"“'Ḅ᜻ᦪ⚗4+15✌⚗73589Ḅ:9ᦪᑡ;<ᳮ7ᵫ஺2.+2=%@+1=஺2“+3"ᦪᑡ%A'ḄᏔᦪ⚗4+25✌⚗73589Ḅ:9ᦪCIE.FGᦪᑡ%4'ḄH20⚗5I10x910x9520=(41|++%■!---1■69)+(K+஺4+஺6+--1-஺20)=10x1+x3+10x2+x3=300.22

19ூ᦮RST௃(1)Iᵫ⚪!VW2ḄឋY5ᨬ[Ḅ\]ᨬ^Ḅ_;Iᑭᵨ⌴cᐵefᑖgVW᜻Ꮤhijk7ᯠmᑭᵨ⌴cᐵefnoᦪᑡḄឋY;pIᑏrᦪᑡ%%'Ḅs⚗8f7ᯠmtuᦪᑡ%஻'Ḅs⚗8f74iwuᮣyḄ\].(2)Iᵫs⚗8fᑖ᜻ᏔḄjk_H஻⚗4iz{Ḅ;Iᑖ4z|ḄᦪᑡḄi7}ᔠ:9ᦪᑡH஻⚗8fᑖḄ4i┯Ḅ⌱.19.ᙠ┵஺ABC஺7☢ABC஺474஺=2,஺஺=஺4=,஺஺=3.Q(1)I☢QAD_L☢A8C஺;(2)☢-A☢Ḅ.2ூᫀ௃(1)|_᪆;(2)ூ_᪆௃ூᑖ᪆௃(1)ḄS5஺7QO,CO,QOJ•☢ABC஺7FGᑮ☢QA஺J•☢ABCZX(2)ᙠ☢ABC0ᑁ7¡஺¢077/8,L.BCMTᑣOT_LA஺7¤᝞¦ᡠ§Ḅ¨©ᙶ᪗e7r☢QA஺ஹ☢8QQḄᔣ®m☢Ḅ.Q

20(1)ADḄS5஺7QQCO.¯5QA=Q஺7OA=OD,ᑣQO7A£7GAO=2,Q4=«,ᦑ°஺=7^=2.ᙠA3CD7¯545=2,ᦑ஺0=17ᦑC0=O,¯5QC=3,ᦑ஺஺²=QO-+0C27ᦑAQOC5³p´Q஺70C,¯5஺CC|AD=஺7ᦑQO,☢ABCD,¯5QOu☢QA0,ᦑ☢QAO_L☢A5CD.(2)ᙠ☢ABCOᑁ7¡஺¢O77/CD,LBCMTᑣOT_LAO,}ᔠ(1)ḄQO,☢ABC஺7ᦑ¤᝞¦ᡠ§Ḅ¨©ᙶ᪗e.ᑣ஺(0,1,0),஺(0,0,2),8(2,-1,0),ᦑµ=(-2,1,2),¶=(-2,2,0).·☢QBDḄᔣ®3=(x,y,z),n-BQ=Q—2x+y+2z=01ᑣº_ᓽº--c7x=l,ᑣy=l,z=,n-BD=Q[-2x+2y=02ᦑ"=LL;).\L)G☢QADḄᔣ®5m=(1,0,0),ᦑcos(¼½=¾=]1x2

212☢5-Q஺-AḄ☢5┦7ᦑᐸ5;.20.ÄᖪÆÇÈ├yÊ7ᨵhÌ᥎ᝄÏ7AÏᑁᨵÌ“1”Ñᳫ7hÌ“2”Ñᳫ7pÌ“3”ÑᳫஹÌÓÑᳫ78ÏᑁᨵÕÌ“1”Ñᳫ7ÕÌ“2”Ñᳫ7Ö×᥎ᝄmØÙ7ÖÚÛÜÝÞß(100ᐗᨵ×AÏᑁ᥎ᝄáâ7ÝÞß(300ᐗᨵ×8Ïᑁ᥎ᝄáâ7᥎ᨵᦪãḄᳫᑣᝄ7“1”Ñᳫᝄ50ᐗ7“2”Ñᳫᝄ2()ᐗ7“3”Ñᳫᝄ5ᐗ7᥎ÓÑᳫᑣäᨵᝄå.(1)æçè7ÛÜÝÞßXêF᝱ᑖìN(150,625),Äᜩᨵ1000ÚÛÜ7ïðèÝÞßX(ᓫÚ:ᐗ)ᙠò©(100,150ᑁóᝄḄôᦪ.(}õöÕᐭ᦮ᦪ)▬IX~N(4,cr),ᑣP(஻-cr9?⌱A678ᡠCᝄDḄEFGHᜧ.ூKᫀ௃(1)&ᝄḄ'ᦪO2286'.(2)ᑖ,ᑡQR᪆.(3)?⌱78;ᡠCᝄDḄEFGHᜧ.ூR᪆௃ூTR௃ᑖ᪆9(1)U⚪WC஻=150,4=625,Ccr=25,/01Xᙠ[\(100,15()]ᑁḄᨵAᑁ᥎ᝄ!"#&ᝄ᳛20.6,'ᦪO10(X)xP(4—2b

22'&&ᝄ'ᦪgJi;⚗ᑖ,5(3,0.6),P('=)=^஺60.4,(4=0,1,2,3)ᦑḄᑖ,ᑡ20123Q5427P0.064ᡈ---0.288ᡈ36
0.432ᡈ---0.216ᡈ---125125125(3)A᥎ᡠCᝄDḄEF250x0.1+20x0.2+5x0.3=10.5B᥎ᡠCᝄDḄEF250x0.5+20x0.5=3578ᡠCᝄDḄEFG23x10.5=31.5,78;ᡠCᝄDḄEFG235,ᡠ|?⌱78;ᡠCᝄDḄEFGHᜧ9$Rᦣ!ḄᦪsEFḄ9জ“ᑨG”#ᓽᑨ!ḄᡠᨵdG|eGᡠ⊤ḄW:ঝ“$ᭆ᳛”#ᓽᑭᵨ᣸ᑡ£ᔠஹ¦§8ஹᭆ᳛vw(¨QḄᨵ©ᐺᭆvwஹ«¬ᭆvwஹ®¯°Ḅᭆ᳛±8vwஹ²³¯°Ḅᭆ᳛vw|´³¯°Ḅᭆ᳛vwµ)#$x!eG¶Ḅᭆ᳛:ঞ“ᑏᑖ,ᑡ”#ᓽᢥº¼wᑏxᑖ,ᑡ#½¾Wᵨᑖ,ᑡḄឋÀÁÂᡠ$Ḅᑖ,ᑡᡈ¯°Ḅᭆ᳛ÃᔲÅÆ:ট“$EF”#ᑭᵨᦣ!ḄᦪsEFḄÈ$EF.´ÉÊË▭>⚪&Ḅ!#᝞ÎÏÈÐgi¨QḄᐺᑖ,(᝞;⚗ᑖ,XÑ8(஻,஻))#ᑣÓ!ḄEFdÔÕᑭᵨ?6ᐺᑖ,ḄEFvw(E(X)=஻p)$C.ÖÓ#×ØÙ¨QḄᐺᑖ,ḄEFvw#d±ÚR⚪ÛÜ.21.ÝÞßᦪ/(x)=ix-lnx-a(aeR).(1)$ßᦪF(x)Ḅ᩽G:(2)áxe,2|¶#ßᦪF(x)ᨵ5ãäḄå#$Ëᦪ஻ḄGæ.ூKᫀ௃(1)áa,()¶#ç᩽G:á஺0¶#ᨵ᩽èGl—a+lna,ç᩽ᜧG:(2)[ln2,l)u(l,2In2].ூR᪆௃ூᑖ᪆௃(1)´ßᦪ$é#´êᦪ஻ᑖëìí{#$CßᦪḄᓫï[\#zᔠᓫïឋ$CßᦪḄ᩽G:(2)ᵫ(1)dÞ##á6,0¶#ᑭᵨᓫïឋCxãd#ᦑá஺ñ0¶#ᑭᵨßᦪḄᓫïឋᑖëìí{ᑡxãµw£$CzÎ.

23ூTR௃R91ᵫ⚪WÞ#f%=«--=^—!-Xñ0,XXᡠ|áx0¶#rxôo,ᡠ|“Xᙠ0,+/ö⌴ø#ç᩽G;áa>0¶#ü/'(x)>0nx>!#ᡠ|ᙠm⌴⌴,ᡠx=,ᑮ᩽/])=l-a+lna,᩽ᜧ,a4,0᩽;a!".ᑣx=Lᨵ᩽/'=l-a+lna,᩽ᜧ.a\aj!2"ᵫপ+,@0/!X"ᙠ!0,+8"ᓫ2⌴,ᡠ3456789:ᔠ⚪=>a!"/!x"ᙠ⌴[@+8"⌴A,!ᓽa.2,ᑣ/!x"ᙠ>,2ᓫ2⌴34ᨵ5678D9:ᔠ⚪=;a22g,2ᓫ2⌴34ᨵ5678D9:ᔠ⚪=;A5..2,ᓽ0

243Pkាpᚖrsᑖtu08(0Zᙶ᪗y8)z{|}.(1)~aᙊCḄ>(2)kḄrt/CN8A8஺=*+(Q,M,N89ᐳt)~0MQN☢ḄY.22ூᫀ௃(I)|+ᓃ=143(2)(0,3]ூ᪆௃h23ூᑖ᪆௃(1)᪷PFsᑖ஺8Sa=2c,x=cᐭ~¢£-=±,¥ᔠ/ᓝ஺2~¢ᫀ.a2(2)§rt/ḄZ@x=my+\,ὶ©rtªaᙊḄ«¬MNḄ8ZE,᪀°±Ḅᔣ³ᐵµ¶·஺MQNZs¸«¬☢S=2x>x|0P|xE—%|=¼5ᑗᝅᵨÀÁÂᳮ¢s=ÅᑬÇ«¬ᙳ9ÉÊ~¢ᨬ.3/+4ூÌ1Í௃ᵫ⚪=+,F(c,0),B(a,0),••.PFាpᚖrsᑖtuOB,...a=2c,22»2QX=c,ᐭ;•+==1S@y=±—,aba.b2_3••---—ߟ)a2a=2c(-a=o2஻23\5=—,STb=6,a22>22C=1a~=b22•••aᙊcḄZ@—+^=1.43ூÌ2Í௃ᵫ⚪=+,rt/ḄÔ᳛9Z0,§rt/ḄZ@x^my+\,

25§¼!Ö×"N!W%

222+ᓃ=1ὶ©Ø43ÙÚxS@!3஻+4"Û+6Ü-9=0,x=ivy+1Ý=36ᶭ+36!3ᶭ+4"0,-6m-9.7+%=#*'§MNḄ8ZE,ᑣß=ß+ß=2à.•MNá0஺âãsᑖ0MQNZs¸,Ss¸OMQV=2S&0MN2xgx|0F|xä_%|=æ5%|36M36=\(/+%)2_4>ç=(3m2+4)23¼+4126n2+13m2+4____c_121_12(,>nQt="TIN1ᑣfs¸0MQL3/+]_3j+1(n1qy=3Z+-=3/+°ᙠè+oo)ᓫ2⌴,tt\)t3t+-0

26