数学重难点必刷题：不等式选填

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ᑵ⚪⌱ஹᓫ⌱⚪1.08a48,᪷0ᦪ"yja2+b2-ab-ᡂḄᩩᑣᦪ!Ḅ"#%&()ஹ_5iV135°D.(73,2)A.B.(1,.c.----------724'2472.567ᦪ/(x):;<জ>?@0᳝஽Cᨵ,(*)ߟ,(/)0Gঝ7ᦪX]—x2y=/(%+2)ḄOPᐵRS(-2,0)>U.ᦪ4*:;f(cr+2b)<-f(-b1-2a),Ḅ"#%Y(ᑣVaw-,1X,)2a+b2A.B.C.D.[2,4]8524'29Z3.\6஺ஹbeR,^>?@_ு0ᙳᨵ(lnx-a)(x-Z?)(x-a-Z?)NO,ᑣ()A.6f<0,h<0B.a<0,b>0C.஺:>0,b<0D.஻>0,h>04.klmaln(x+l)—/+2%2oᙠqr(o,+8)ᑁḄtuvᨵ^wᨵ᦮ᦪᑣᦪ஺Ḅ"#%&()932932A.B.21n2ln521n2'ln59329C.D.-----------,+002ln2'hi52In25.\60a{ᑣ|ᑡ~Ḅ&()eA.᪗B.᪗C.ு᪗᪗D.ᙳk~6.\67ᦪ/(x)=%2+2x+a(x<0),SA(%J(xj)ஹ%,஻%))Y7ᦪ/(%)OPS^Aஹ8SḄᑗᚖ᳝஽ᑣX2-%Ḅᨬ#Y()

113A.1B.-c.•—227.\6ᙠ(0,+Ḅ7ᦪ/(x):;r(x)+2/(x)=g((1¥?@~ᦪa,6Cᨵ/-)A.(ߟ2,—1)B.(—oo,—1)C.f—1,—jD.f0>—8.aeR,klmx2+-+X2--+24%-8ឤᡂ¨,ᑣᦪaḄ"#%&Xx)A.[-2,12]B.[-2,10]C.[-4,4]D.T,ফ9.\6ᦪ%,©2%ª:;+=1«+=1,᳝஽+%¬=°ᑣ+y-2|+¯+ª2|Ḅᨬᜧ#Y()A.8B.20C.4D.6ᐵRxḄklm±+6+,2²G6|24ឤᡂ¨ᑣᦪ஺Ḅ"#%&()10.A.8,1]B.[-1ZC.[-l,+oo)D.(-oo,-l]U[l,+°°)\67ᦪ/(x):;e'(/'(x)+2஻x))=´>?@~ᦪ11.Cᨵy-gµ¶·+¶3+¸ᑣxḄ"#%&()a~e~64/8A.B.F஺)C.(0,1)D.(l,+«))12.\67ᦪy=3+j3x+9Ḅᨬᜧ#YMᨬ#Ym,ᑣ—Ḅ#Y()M1»6A.B.-Vx•---Dº422r-24(c~+1)+c+2,,„13.(¾¿)\6ay[c>2Z?>0ᑣa-+----À-----+Ḅᨬ#&()b(a&—2b)2c2+2A.8A/2B.16C.873D.17

214.7ᦪ“Â=ᔳ+Ä-a(aeR),Åy=Æ(e&Çᯠ>ᦪḄÉᦪ)xe+1ÊᙠS(%Y)ËÌ/(/(%))=%,ᑣaḄ"#%&()A.(-oo,0]B.(0,e]C.^-oo,-1D.[0,+8)*W),(-1<<1)x15.7ᦪ/(%)={12>+1I--J>?@Ḅme[-3,2],Ñᨵ--(x3+3x),(x<-1sKx>1)/(mx-l)+fx>0ឤᡂ¨ᑣxḄ"#%&()A.(µ|)B.(-1,2)C.(ߟ/-1)D.(-2.3)16.7ᦪ/(x)=ln(Vx2+1-x),a,b:;klm/(a?-2a)+/(2b-b2)<0,ᑣVISaW4X2a-bḄᨬᜧ#Y()A.1B.10C.5D.817.ᐵRXḄklm᮱(a+l)X-Z720(eYÇᯠ>ᦪḄÉᦪ)ᙠRឤᡂ¨ᑣ(a+1)ᓃḄᨬᜧ#Y()1e€A.e+1B.€H—C.-D.22418.7ᦪ஻ᑘ=ᓰ-2Ú²ᙠqr[-2,4]ḄᡠᨵÜSÝÞlR()A.2B.6C.8D.102x*—xx019.7ᦪ/(x)=<.ஹ…^ᐵRXḄàá/(Â=â,(â6ã)ាᨵ3k-x*+2x,x>0.Ḅᦪ᪷å;,çᑣèè©3Ḅ"#%&éêA.(-L0)B.(-l+x)C.(0.1)D.(-1,0)520.\67ᦪy=/éxê&ëYRḄᏔ7ᦪ.Vx>0X|siíîKxK(C/(%)=]42ᐵRxḄàá"(x)f+4(x)+b=0(a/eR),6+1(x>l)ᨵ^wᨵ6k.ᦪ᪷ᑣᦪaḄ"#%&é)

35995995A.B.(--,-1)C.(--D.(--,-l)244244221.SuA={(x,y)|x2+y2Q,BCM8cMᢚ᪀ᡂ┵᝞ঝᑣ$ᑡ&'()Ḅᨵ()A..T08c12ᑣᙠ45MC67ᙠ289:PO஻>☢M4TB.@xe(g2)DᑣᙠEᢚFG1H7ᙠIJKLMN>☢MW_L>☢ABC஺C..92“ᙠ>☢ABC஺ᑁḄUVWᙠ45A£>6ᑣZD[┵Ḅ\]ᨬᜧ`01D..x=l,c@2Mᙠ>☢ABCOᑁḄUV2஻Wᙠ456D┵M—Ḅ᜜fᳫhijᑁᑗᳫhiḄl`0:+3—+2223..nᦪ“22,ᑣ$ᑡHpq1rsᡂtḄu()A.(஺+1w>(஺+2xB.log(a+l)>log(a+2)afl+1,/Iஹ஺+1,/Cஹ4+2c.log,(«+l)<——D.log(«+2)<——-(fl+]aa+\

4|log(x+l)|,Jt:>-l224.ᦪ/=<.ᐵxḄG/x=஻?ᨵJHpn᪷2(A+2)\x<-lX],஽x,xx,0C.4+%>—1D.X+logmV2Ḅᨬ¡`01025.£(nᦪx,y,zMN2'=3'=62,¨I()xyzA.x+y=zB.xz+yz=xyC.D.xy>4z2923626.©᦮ᦪ«[x]=HFxḄᨬᜧ᦮ᦪ᝞[1.2]=1,[2]=2,[—1.2]=—2.®$ᐵ“©᦮ᦪ”Ḅឋ±²³()Ḅᨵ(A.[3x]=3[x]+2B.Vx,yeA,[x¶[y],ᑣC.Vx,yeH,[x+y]<[x]+[.v]D.VxeR,[X]+x+g=[2x]27.¹ᦪ/Xsº»1¼½ḄX],%᳝A%,ᨵ᝞$@஻X=lgXD6³1()Ḅ¿ÀuA./᳝+Á=/•/஽B./(Æ52)=/(Ç)+/(±)C/x,-/x2>0DJ(xJ+஻X2)■᳝-ÁÅ28.£ᦪ஻É=Wr/-3,y=/'xu“XḄÊᦪ$ᑡ()ḄuA.ᦪy=/%ᙠËÌ0,+ḄuÍᦪB.@X€YO,0Dᦪy=/xḄᨬᜧ`ur1C.y=/xÎ/xᨵ2JÏ2D.¡ߟ=229.UABC1BC=2,8c6Ḅ14AD=2,ᑣ$ᑡ&'()ḄᨵA.0s`B.AC2+AB2^IQ4C.-

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2C.CᡂḄ☢ᜧ4D.V+y23=16%2y2#$⊤&ḄCᙠ()*▲,(-*▲31.᝞/ᡠ&1)2345678ᨬ:ḄP<Ḅ5=2h஻1@P

63E.|}3x+44bḄាSb—a=433.(⌱)ᑡᑨ¤BḄ=()A.kᦪ"x)=[ᙠ¦§ᑁ=okᦪB.g(x)᜻kᦪ1ᑣ)¦ᨵg(O)=OC.yzx>0,y>0,¬'+'=1,®¯+y>m±+²ឤᡂ´1ᑣµᦪ”Ḅ·¸%y=(-4/)_12—QX—5(X(])D.yz/(1)=¼/ஹᙠ(fo,y)8=¿kᦪ1ᑣ஺Ḅ·¸=[-3,-2]-ஹÀÁ⚪34.1a,6Sµᦪ1¬lVa«3,2

7x—2v39.®µᦪx1yØÙ2f+ô—y2=i,ᑣ5/_2᩟]2,Ḅᨬᜧ¸Söஹ÷Á⚪40.᝞/1ᙠÓÊᙶ᪗øxOyÈ1

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,4x2+y2Ḅᨬ

9ὃᫀ1.cூᑖ᪆௃ᵫ⚪µ1<⁐<4,µ·t=W(l0,·x=!',y_Ja?+b2-ab#z=mVab#x2-y2-)2-\/a2+b2-ab2=(a-b)2<0,2-ab-a”4,ᑣ2m<4#ᓽm<2ÐᫀÒ1⚓#Ô55⚓

10Õk=Ji+2G(2,j,µ24+=2ᦈ—3—k,ᵫy=2-Jk2—3—kḄÁᦪ
y'=/:k-1=2k/J/Vk2-3Vk2-3ᵫ2Jk2_3#ᓽᦪy
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11(y-x)[y-(2x)]40|1᝞▢ᑖᵫឋ!ᑜ#$%#?'(x,y)((0,0)-0=1111xுe஺k
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12XA⌱⚗
avO,/?vOᑣa+bvZ?0;ᑣ஺+/?0,Q+Iஹb>e"ᙳ'ᦪজe"=b,ᑣff)~,
00-/(I஺ឤᡂsᑣ஻᝞3ᡠe=b>0ᡠn
avO,b>0ஹa+b«O,஻=e">0
x>0'/("஺ឤᡂs;XC⌱⚗
஺>0,6v0ᑣᓃ<஺+ᓃজa+bWO,ᑣ
Ovxv,/(x)<0,|ᔠ}⚪~;ঝ
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a+஻0,ᑣ/(x)<஺|ᔠ}⚪~C⌱⚗┯kXD⌱⚗
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13জ
na+b,/|Q^t=rmn{b,a+b,ea],
0g(x)ᙠÎ(0,+8)ᑁḄFÑ\ᨵÓᨵÔZ᦮ᦪ¾ᔠØ%ËNÙᦪaḄÚÍÜ.ூeF௃Å=ᦪf(x)=aln(x+l),g(x)=x3-2x2,Þ'g'(x)=3x2-4x,ᡠng'(x)=0,“4.•.%=0ᡈx=—,34Þ'0cx<§gf(x)<0,4ᡈx<0g'(x)>0,g(0)=g(2)=0,ᐸØ᝞3±ᫀ5⚓55⚓

14
a,,0/(x)>g(x)ãäZ᦮ᦪ᪷k"(3)>gব
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15>?0<4

16hABCa=3,b=±,ᑣLna=e2.
_3[-lnb=e3.
-2[,ee~baᐸBea2.718,᧕,lna>'lnb,ᑣ]ுba!ᡠ^>>>7ᦑ⌱aAூbc௃d⚪ὃfghiḄឋlmnᱯoᑨpq⚪.6.Aூᑖ᪆௃ᐜtAᦪ/uX[Ḅvᦪr
x=2x+2,ᵫ⚪./u2%+2[u2±+2=-1,]஽Cgyz?g[—u2%+2[+u2஽+2[],᪷}ᙳghit(ᓽ.ூ'(௃:/
x=%2+2x+a
x<஺[../'ux=2x+2VXj02x-x=—[ߟ
2%+2[+2X+2]2u2%+2[]u2x2+2[=1,2]231Cu2%+2[=2&+2=1,ᓽ=-ὡ%2=-ὡhᡂX2-Ḅᨬ?1.ᦑ⌱aAூbc௃#ᫀL7⚓N55⚓

17d⚪ὃfvᦪḄ.Qᙳghipq⚪.7.Bூᑖ᪆௃᪷}dhit-4+ᡈᨬC=/(£),ghiᓄ?(ghi4஻e-64a242,2e2/(g)C|)Q,b>0,,+-+~~—Hab)>—T==/(—),2224h-e64a~442abe2,2e2஺=»¼/=2Jghᡂ.2\2eஹ2ᡠtghiᓄ?/(j-|),2y/X2yJx᜛'(x)=0,x=g,஺(È>00g,X=(p(x)᩽ᜧᓽ?ᨬᜧ?JfC2g()=-2ef(1)=0,e(x)<0,/'")<0,#ᫀL8⚓N55⚓

18/(x)ᙠ(0+8)¸¹AᦪfhÎ,ᦑ⌱:Bூbc௃d⚪ὃfdghitᨬὃfᑭᵨAᦪḄᓫGឋ(ghi(⚪ḄᐵÒ¸᪀⌼AᦪᑭᵨvᦪẆÔAᦪḄᓫGឋpq⚪.8.Dூᑖ᪆௃ᵫ⚪./+3+«2-_1+8..(4-஺)Õឤᡂ×Øx>0,Ù<(),Úᵨdghi,XXᨬÛÜᑮᡠtß.ூ'(௃X~4—1+1—+CIX..A-X—8ឤᡂ,XX2ᓽ?ᔆH—1+1x-----H8..(4-a)xឤᡂ,XX1τI18%>04—6,X+3+X----2+CḄᨬ,x~11XX1II18ᵨa118=2TᵫX+â+X—C-+-JS',x+—+x---+—X211x2XX2ᔆXXä=2ᨬ8,ᓽᨵ4Cå,8,ᑣ஺,C4x<04C஺..Cæ%+4ᵨä--VCçèḄᨬᜧ,XXX11QQIQᵫCXH—71+|C%—7—J®-2x-2.2x--=8Mxxxx\x³=-2ᨬᜧ-8,ᓽᨵ4—஺...C8,ᑣ612,!12.ᦑ⌱ூbc௃#ᫀL9⚓N55⚓

19d⚪é⌕ὃfghiឤᡂë⚪Ḅ(ìí.Úᵨîᦪᑖïðᑖñ×ØòóQdghiḄ4ᵨ.ᙠὃfôõḄᓄòóஹᑖñ×ØòóðÚö÷¶.9.Dூᑖ᪆௃¿bAuù,ú[,8u஽,Q[᪷}ᩩ/bABᙳᙠᓫüᙊ!᳝ä2+ÿ%=0ᵫᔣᦪᡈ᳛᪗ᐸ!ᑮ#$Ḅ&'()ᨵᐵ.ூ./௃143456,53496:+=1,>+=[,xx+yy=0,y2l2.•.43ᙳᙠᙊ/+2=1HI1A3ḄK!Cᑣ!CᑮN!Ḅ&'}?---,2.!஺ᙠᙊx?+y2=:H1ᑮ#$x+y—2=0Ḅ&'ᑖU4&,4,W+yߟ2|+,+%-Z=ᢈ"-Iᙶ+]-2|6=^0+46=2ᡣ,"max=&+c=,|᳝+B-2|+H+%g2|W2i•=6•ூ!k௃lᫀn10⚓p55⚓

20ᑭᵨᦪsᔠuvwᦪḄᓽ᪀⌼{ᦪ|}~᪗Ḅ!ᑮ#$&'()Ḅ.10.Bூᑖ᪆௃ᑖ/.ூ./௃ஹnta+ya~+24—u—yj+242,ஹ(1)xN——-------ᡈxW——-------x-ax-6>0>22+6+,2_᝖ߟ6|24f>4,+6+,2—᝖ߟN4ឤᡂ9◤>2rஹ¢a>-\=>22ar+6—3/gax—6624ᓽx2-2ax-8<0.(i)x=0/g2G:g8<0ª“ឤᡂ(11)0<¬<——--------2X4f-2ax—8<0ឤᡂᓽci>----ឤᡂ2x..Q+A/Cᔆ+248஻¯/°ஹ1RRᡠ¥஺(---------------------,—M/±஺(g1,4Q+J/+24(Ill)——2-------

21x4x2—2ax—S<0ឤᡂᓽa4----ឤᡂ2xer..,.a—y/a2+2484"/¸Sᡠ¥a4-----------------7,/±aW14a—yja2+24¹Hºᦪ஺Ḅ»½¾[-1Àூ!k௃Á⚪ὃÄÅÆᦪḄÇÈឤᡂ.ÅÆᦪḄÇÈឤᡂÉÊᨵËÌÍÎ1ஹ᪷ÐÇÈÑᦪḄឋÓÔᓄÖ:2ஹᑖ'ÆᦪÔᓄÑᦪᨬ.11.Dூ/᪆௃ᵫ⚪±e2xf\x)+2e2"(x)=,ᡠ¥[e2'f(x)]'=y/xexÙg(x)=e2"(x);./(x)=Ü?g'(x)=&'eU./'(X)==&ÇÞX),Vh(x)=2g(x)ee஻'(%)=(«")'-2g(x)=(eᔆ+>/xex)-2>J~xex(1-2à᮱2y/x2y/xᡠ¥xe[(),-],"(x)>0,¯(x)ᓫä⌴æxe[L+8)ᔢh'(x)<0,Zi(x)ᓫä⌴ê.22Aì-2gg)=[eJ2ᔩ=îߟï=0ᡠ¥ë(X)maxᡠ¥/'(x)W0,ᡠ¥ᙠ[0,+A)Hᓫä⌴ê.ðì31ab+ñ+òaeó2ôab_1(Iö4=8÷¯2=ø»)aeSb8v8abe8g2ªe-3v-2v-l>02Ù஻(x)=3'-2•'-1,u(x)¾gùæÑᦪ஻*)=3'-2*-1>஻পᡠ¥x>l.ᦑ⌱D.!kÎÁ⚪Ḅþ!ᙠÿ⌕
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22ᙠ!"Ẇ#$%&'(ᵨ᪀⌼ᦪ*ᑏ,-.⊤0,%&1ᳮ,3ᨎ.12.Bூ᪆௃U=G[0,2])l-x>0ᵫ?@—3<%<1CᦪḄDEF.GVIJx@3%+9>0v=J3X+9,(VG[0,2A/T|)'3M2+V2=12,—+—=bMNCOᙊḄQᑖ᝞TMᡠV.y=3஻+u,ᓽ!\412u=-3஻+y,ᵫM^_1,`ayᙠbAᜐe@ᨬghᙠiOᙊjᑗḄb5ᜐe@ᨬᜧh.v=-3u4-ynAo0,26q,ᦑᨬghC᪷=3x0+26=.ὶu

23ூb௃⚪⌕ὃᨵ᪷Ḅᦪ᪵ᨬᜧhᨬgh.ᐜᵨᣚᐗᦪᦋᑏᡂCᦪḄ{y=3஻+u.ᯠᑭᵨ"uḄᐵ¤@ᑮ“§Ḅ^¨F⚪©^¨FCOᙊᙠª▲ḄQᑖ.ᯠᑭᵨV=-3"+y,ᵨ`aḄᨬᜧhᨬghᩭᦪḄᨬᜧhᨬgh.13.Dூ?᪆௃3®j/*c+22A)2c2+2_2+8(£?+1)c+c+2¯°)+2c2+2>^+--³´——,+µ஺+2(2*=a/-2*)·+("«-ᒼ’2c”2G2½g¾=&+£«N2)¿ᦪnÁ/Â=g(2)=1724(c2+1)C3+c+2=>61H-----7--------------rH-----------------2b(a&-2b)2c+2ᫀ14⚓55⚓

2417,ᦑ⌱D.14.Cூ?᪆௃ÄCᐜÅ%^^^Æ:“ÈÉு஺ᡠË஻஻x))=xᙠ(0,eÍÎCIXv*1Xᨵ?L_1YZÄC+],—(X?+♦=[——g——+->0,(᧕ÔxNlnr+l)ᡠËᦪ/(X)ᙠ(0,+8)Îᓫ⌴¿,ÄÙᵫ/(/(x))=x@/(x)=xᙠ(0,e]Îᨵ?ᓽ

25x/Û1,1-lor——,xe(0,e]ÄCa=——>0=>6!€-00,-⌱C.xx15.Aூ?᪆௃ÄCÞß=àá,âã(%)3+3(-CÍ=ä(᮱+3ᑗᡠËᦪ/'(X)CDEFRÎ᜻ᦪ½ÄCéê=ë-3,ᡠËᦪ/(x)CDEFRÎìᦪÄÙ#í{f(mx-1)4-/(%)>0=f(mx-1)>—/(x)=f(mx-1)>/(—x)=>mx—1<-%,înïᙠÅâäÅஹ=0Zf(x)=ln(Vx2+1-%)=-ln(V%2+1+%)Cᓫìᦪôf(0)=0ᡠËf(%)CRÎìᦪÄÙf(M-2a)+f(2b-62)<0»/(a2-2a)<-/(2b-b2)=/(a2-2a)-2b+ft2«(a-l)2>(b-l)2[\yM,?

26HIJKLᜧUDᓄᓫ0ឋGHIV"XᓽZᦪ2ḄᜧUDᓄJKLᜧUᐵ<-.ឋG[ᑮ]^-.ḄJKLᡠ-ᦪ2ᐵ<.17.Cூ௃`஻x)=e*-(a+l)x—ᓃ,m◤/(x)2஺ᓽG.='(x)=e*-(a+l).ua+lWO,minxᦪឤᜧz3ᦪᓫ0⌴|}ᨵᨬU2.u஺+1>0ᦪᙠ(-8n(a+l))⌴,ᙠ(ln(a+l),+o>)⌴|ᨬU2/(ln(a+l)),ᓽ(a+l)-(a+l)ln(a+l)2b,]a+1[(a+l)~1—ln(a+l)2Z?(a+l),`f=a+l,g(r)=r2(l-lnf)(t>0),,(neg'")=r(l-21nf),`g«)=o,[”e5,[᩽ᜧ2ge2.ᡠ(a+lgḄIJ2ᨬᜧ22.24⚪⌕ὃᦪ8xᦪḄ¡¢ὃᦪḄᓫ0ឋஹ᩽2ஹᨬ2Ḅ£¤ὃᓄ¥8DᓄḄᦪ¦§¨¤©zª⚪.ᵫz⚪¬⌕£^®B¯ឤᡂ±ᡃ³᪀⌼^ᦪ£ᐸᨬU2ᐸᨬU2ᜧz3ᓽG.ᙠᓄ¶·¸¹⌕56Zº¡ᩩ:»ᡂ⌕£Ḅ(஺+1)ᓃḄ¼¯.18.Cூ᪆௃½⚪ᑖ᪆ÀÁᦪy=—1—8y=2sinÄxḄÅÆ᝞ÅᵫzÇ]^ᦪḄÅÆÈᐵz1%4(1,0)-.ÊË̳ḄÍ4Îᐵz4(1,0)-.ᵫÅơ̳ᙠ1,4JᨵÐ^Í4ÊËᙠ-2,1ÎᨵÐ^Í4-4ḄÑᙶ᪗Ô2,ᡠ/(x)ᙠ-2,4Ḅᡠᨵ34Ô2x4=8,ᦑ⌱C.NᫀP16⚓R55⚓

27ூÙÚ4ᨒ௃⚪ὃᦪḄ34⚪⚪ḄᐵÝ'ᦪ34DᓄᦪÅÆḄÍ4,ÞßᑭᵨᦪÅÆḄ-.ឋ34]]»-̳Ḅ2,á᪷ãÅÆäᦪḄᕜ,ឋ8ᓫ0ឋåæÁᙠçæèéᑁ34Ḅ^ᦪᨬë£[=ì.19.D2x2-xx<08fx
=,ï.+2x,x>0ᦪy=mḄÅூ᪆௃½⚪ᑖ᪆ᙠíᙶ᪗<ᑁîÁᦪÆ᝞ðÅᡠñ:ᵫÅG¡u0äó1¸äôC&ᨵõ^®BḄH᪷®ö÷ø஽øúᡠ᳝<0,0Vü2<%3ü2+%3=22ý+úᡠ0ü2ü3
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28ᡠ3<%
2%3<0ᦑ⌱D.ὃ1ஹᑖᦪ2ஹᦪḄ3ஹ.20.CḄ!"᝞$,&ᐵ(*Ḅ"+,]2+4+,+6=0,2,bCRᨵ&6ᨵ6789ᦪ᪷,x2+ax+b=0Ḅ=᪷ᑖ>?@=:,1ᓽ—

29{+x,yw,+/<1},LMP={+x,ᑘ+XTw++y-lw2<1},z{bᔠPᡠ⊤jḄkl|}~{klḄ☢(bᔠMᡠ⊤jḄklᑖ᪆bᔠAஹ3⊤jḄklஹyᐭ/+LM+—஽w2++%w241ᑖ᪆LMbᔠMᡠ⊤jḄkl☢᪷ᭆḄᭆ᳛L}~{qᫀ.ூ௃=᳝+1,y=y+l,M<,[y=y-iᵫ(+XwWA,ᑣ+ᡠ+x—lj++y—]w2<1,ᡠP=J+x,yw|+%-lw2++y-lw2

30(A,μAT0cḄμÐÑ(N,ÓÔDP_MN`ᨵbcஹ;(B,ADḄÖ”⊤j{MH=\lMT2-HT2=\]3-x2×ØÙe(G2)Ô,ÞᓽL(C,ᑭᵨáV=x2xxxj3—Y,ãäåᨬçᓽL(D,⌕å᜜êᳫ£¤ᑁᑗᳫ£¤í᜜êᙊḄᙊ¹îᑁêᙊ£¤?r=-Il—V3+V2+3ᓽLz{ñç.ூ௃(A,᝞!μAT஺஺ḄμÐÑ(N,ᑣ☢A7MC☢ᵨ஺C(N)=MN.ÓÔDP_MN`ᨵbe,ᑣ஺P☢ATMóÑᦑA┯õ;(B,ADḄÖ”öêMHᑣN☢MAD±☢ABCD,ᑣᨵMH=^MT2-HT2=\j3-x2Ùxe(6,2)ÔÞᡠᙠùᢚûÖWᙠü7ýþÿ
☢
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31C,ᵫ⚪☢☢ABCO,ᵫBᡠj7=4*2*4*'3%2='|/2342«2JX+_—#$%#9=3-2,ᓽx=X5'(ᡂ*.ᦑC;2D,ᵫ⚪☢M40_LffljABCD,$MH=%-.IIAHB,/012324ᡠM—5☢᜜7ᙊḄᙊ:0;<ᡠR=\,ᵫ'=>?@Aᑁ7ᙊCD.r=,ᦑ3=⌭±1I2JᦑD.6+(+3r2ᦑ⌱LBCD.ூ

32⌼lᦪ஻x)=F@ᑨᐸᙠXG(e,+w)Ḅᓫឋᓽᑨln(a+l)ln(a+2)⌱⚗BLᑭᵨᣚ5efL10ga(஻+l)>10ga+[3+2)O—J---->—~~~",Inaln(a+l)'uln2(a+l)>lna/n(a+2),ᑭᵨhPi'f£,¤¥ᔠ§¨?ᓽᑨூ©ª௃«஻X)=Wᑣ/'("=¯<0ᙠX€(3,+8)ឤᡂ*ᡠlᦪ஻X)=?ᙠxG(e,+co)ᓫ⌴·⌱⚗AL-.ᡠ(a+l)"+2>(a+2)fl+1o(a+2)ln(a+l)>(a+l)ln(a+2),unHTg_ugspln(a+l)In(a+2),~_ln(a+l)ln(a+2)ᓽti'f'u=----L----L-ra>.1஺+1<஺+2,ᡠcriu=----L----L,஺+1Q+2Q+1Q+2QÁA(a+l)"2>(a+2)"i,ᦑ⌱⚗A,zÃa+1ln(«+l)a+\ln(a+l)Ina⌱⚗CLlog”(a+1)<——o—----<——0=-----<——,a

33aaa+1aᵫlᦪ஻x)=Æᙠ(e,+8)ᓫ⌴·ᡠ/(4)<஻3),ᓽᜐ<2,x43Eஹ,ln421n2In2,ln2ln3ÉÊh(a4-)Inaτ…஽L…ஹÎ-.——Ï=—ᡠ<—Ð஺=2,ᑣÑ———ᦑ⌱⚗C┯Ó;44223a+1aÔÕ./cஹa+2ln(a+2)a+2ln(a+2)ln(a+l).⌱⚗DLlog(a+2)<----<=>—7—~Ù<-----——L,Ú⌱tt+1"Ma+1ln(a+l)a+1+2a+\a⚗A[Üᦑ⌱⚗D.ln(a+l)ln(a+2)⌱⚗BÑog“(a+l)>k>g"a+2)o*>5,-./2,ᡠ'uIn?(a+1)>lna-ln(a+2),-.lnaÑn(a+2)<+2)lna+ln(a+2)TI-ln(a2+2a)-|Fln(a2+2a+l)~|miL-.-------------2-----------------------=1/(a+1),222ஹ,ᫀ22⚓55⚓

34ᡠi'flog,,(«+1)>log(«+2)ᡂ*ᦑ⌱⚗Ba+lᦑ⌱LABDூ

35=2}%+2~2+——1X+8>22}x,+2~2----1X+8=10,77V/2}᳝+2~2Vஹ/2}ᑁ+2h]5HH2}᳝+2hX5ZᡂᦑD⌱⚗.2}%+2/ᵫ#$BC10g2}As+l~=-10g2}X4+l~11log,}X,+1~+log,}x4+1~=0,}A+1>}%+1~=1,z+l-1,ᵫ|log2}x+l~|=l}x>-l~,Sx=1ᡈ=-u,x=3ᡈx=-஺,ᵫ|log2}x+l~|=2}x>—l~,S431ᡠVXWᨴߟߟ,1vA<39+—1——54*3+z=4+T=4}W+1~W+1>24}x+l~—l--5=-l®.3V%3+11c4}x+l~x+1''422ᡠVজḄᡂᓽ4A+%>-1ᦑC⌱⚗.ᦑ⌱ACDxᫀz24⚓|55⚓

36ூ௃ᨵᐵ,-Ḅ᪷ஹᦪḄ⚪Bὃ⇋£ᔠ#$ᩭ.ஹᨬᨵᐵḄ⚪Bὃ⇋ᑭᵨᩭ.25.BCDூᑖ᪆௃c2*=3ு=6==ᑣ1BSx=log2ty=log1,z=log1,36111ᑭᵨLᦪḄᣚ¬®¯x+yBᑨ±⌱⚗A,²³X+X=—lᔲBᑨ±⌱⚗B,ᵫxyz*=J1Lµ¶21g2<31g3<61g6Bᑨᜐ⌱⚗C,ᑭᵨBᑨ±⌱⚗D,aalga¸oBS⌱⚗.ூ௃c2*=3>,=6'=fᑣ/>1BSx=log2=log1,z=log1,36IgfIIgfIg2+lg3L*⌱⚗Ax+y=log21+log31=lg2lg3Ig2-lg3Ig2-lg3xᫀz25⚓|55⚓

372=¹º%+k2ᑣlg6»@Ih¼¼ᡠVx+yxz,ᦑ⌱⚗A1g6Ig2.lg3Ig6Ig2-lg3lg6;x+y1111L*⌱⚗Bᵫxz+yz=AyBS——=XᓽX+X=X,xyzxyzX1+—1=--1--+---1-1g21g31¾c,¿lg6=-2—+-2—=——(1g2+1g3)=-^ߟ=log,6=xylog-log3fIgf\gtIgrIgrz“111ᡠVX+X=—,ᓽxz+yz=jqyᦑ⌱⚗B;xyzlog/¼Igl’»@2Á3lg36lg6'ᡠVÂுÃுp'L*⌱⚗Caalga»@-0,ᡠVÄுᘤுÆ,ᓽBுÇுÈ£'Êᦑ236⌱⚗C;lgrIgr(lghL*⌱⚗DAy=logZ+logZ=T•—23lg2lg3Ig2xlg324z2=4(logZ)26lg2+lg3"|=ឤÌ»@Ig2/lg3ᡠVᡂ,»@Ig2xlg3<2414—ᡠVYYÍᖪ‘ᓽᡠVÐÍ4z2,᪷Ñ“ᡈ”Ó⚪ḄឋÕBC⌱⚗D.ᦑ⌱BCDூ௃ᐵÖ⚪⚪ḄᐵÖlc2'=3'=6:=/ᑣ/Í1BSx=log2fy=logz,3z=log1,×ᑭᵨLᦪḄدឋÕVÙᣚ¬ᓄÛÜX6⌱⚗ḄÝÞᑭᵨ6Zßᔲᡂ.26.ABDxᫀz26⚓|55⚓

38ூᑖ᪆௃Bàᱯᑨ±AC,ᑭᵨឋÕÙà᦮ᦪḄÞâãᳮBᑨ±BD.ூ௃%=1.7Z[3æ]=[5,1]=5,3[x]+2=3[l.7]+2=3xl+2=5,ᦑA;º[x]=[y],è[x]=[y]=஻neZ,ᑣ஻Wx<஻+1,+**•x—y<(M4-1)—n=1,%—yு஻—(஻+1)=—1,íoy|

39!B,Q/(x/A2)=lg(X|A2)=lgX|+lg/=/(xJ+/(w),ᦑBPQ;!C,Q/(x)=lgxᙠSTᓫ*⌴VA.../(X)ߟ/(/)>0,ᦑcPQ;Xj—x2!D,QX],%2>0(%஺஽)Aᑭᵨ+,`=)>lgJa,b/(%)+/(஽)=lgXI+lg%2=1g(ᑁ஽)=lgi,ᑣ/ᵨgு/(ᑁ)+/(஽)~2ߟ2-—T~2ᦑD┯Diᦑ⌱kBCூlm௃ᐵollmk,⚪ὃrs⚪ḄtᎷᑨ&Aὃr!ᦪ(ᦪḄឋAὃr+,ḄvᵨAw,⚪Ḅᐵolxy!ᦪzᓄ|᪷AᓽḄ1^=lgJR,ᑭᵨ!ᦪḄ#$ᔠ+,FᫀAᩩAὃr$AT᫏⚪.28.ACூᑖ᪆௃ᑭᵨᦪ(ᦪᓫ*ឋḄᐵᑨ&A⌱⚗ḄPD;ᑭᵨ+,ᑨ&B⌱⚗ḄPDiᑖX<0X>0ᑖ᪆g(x)=/(/(x)Ḅᓫ*ឋAᔠlᙠᳮᑨ&C⌱⚗ḄPDiᑖX<0%>0¡¢$/'(%)/'(£),ᑨ&D⌱⚗ḄPD.ூ.௃!A⌱⚗A¥Xு஺¦A஻x)=x—4ߟ3,r(x)=l+3>0,ᡠ¬A(ᦪ>=/(x)XXᙠ®(0,+8)xV(ᦪAA⌱⚗PQi!B⌱⚗A¥x<0¦A/ஹ(x)=—x----322x).—)—3=—1,¥°±¥²=-1¦A³ᡂµAᡠ¬A(ᦪy=/(x)ᙠ®(-8,0)·Ḅᨬ¹ºx1,B⌱⚗┯D;FᫀH28⚓AJ55⚓

40!C⌱⚗A¼g(x)=/(x)-f(x),¥xு0¦A/(%)=¾3,/'(x)=l+3Ag(x)=/(¿)/'(x)=--^--4,ᑣg'(x)=1+3+4>0,xxxx~xxÀ¦(ᦪy=g(x)ᙠ®(0,+“)·ᓫ*⌴VAÂg(l)<0,g(5)>0,ᑣg(lுgG)@ᡠ¬A(ᦪy=g(x)ᙠ®(0,+”)·ᨵ°ÇᨵÈli¥<0¦A/(%)=_%_@_3,=g(x)=/(x)-/,(x)=-x---3+l--^=-x----y-2,gA(x)=-l+-V+N,XXXXXX„஻/ஹ262(x+3)n¥x<—3¦Ag'(x)>0,¥3஺Ag(-1)<0,ᑣg(—2>g(—l)<0,ᡠ¬A(ᦪy=g(x)ᙠ®(Y0,0)·ᨵ°ÇᨵÈl.Ò·ᡠÓA(ᦪÔ=/(Õ/'(·ᨵÈlAc⌱⚗PQ;!D⌱⚗A¥>0¦A/(=1+4A¥x<0¦AÖ(=41,XXᡠ¬¥1<0¦Aᐝ>0,ᑣ/'(=1+ᔆ==1+i7,(T*ᓽ¥x<0¦A/'(•¥)/'(Ý)Þ(ß1)(@+1)=-2/2,D⌱⚗┯D.FᫀH29⚓AJ55⚓

41ᦑ⌱kAC.ூlm௃,⚪ὃrᦪḄvᵨA¦àὃr(ᦪᨬºḄAὃrᑖ᪆á⚪wá⚪ḄAT⚪.29.ABDூᑖ᪆௃AᑭᵨᔣäḄåÏæçᔣäḄᦪäèé#$ᓽAB᪷êëìᳮçíḄî⊡#$ᓽºACᑭᵨëìᳮç+,COSAóᓽAD᪷êëìᳮç+,cosN&LDḄᨬ¹ºᓽ.ூ.௃!A,QABAC=\AD+DB\\AD-DB\=AD-DB=4-1=3,|ºAAPQi!B,QcosZADC=-cosZADB/.AC2+AB2=AD2+DC2-2AD-DC-cosZADC+AD2+DB2-2AD•DBcosZADB=2AD2+DB2+DC2=2x22+1+1=10AᦑBPQiA2-42hc-42!C,ᵫëìᳮç+,cosA=ø3~~->=1--1¥°±¥஺=c2bc2bcbe,ஹi212cosA.iஹ4ACCOSA21-------=1-------ax¦A⁚ᡂb5AᵫA⌱⚗`becosA=3,33AcosA3cosANg,ᦑC┯Di!D,cosZBAD=ø+2=£1±2>ᐸ%=c=6,ᡂ,4c4c4c2NfiMXNABDᡠN5A£>e0,%lcosNBADNo,ᡠḄᨬᜧ)30°,D⌱⚗./.221ᫀ330⚓555⚓

42ᦑ⌱7ABDூ9:௃<⚪>⌕ὃABᔣDḄᦪDFGHIJKᳮM0,ᡠxy▲3jh{▲ᑨw஺.ூ௃7x=0y=3kᐭYZC,uᡂᡠYZCᙠ3j▲]9^,ஹᔊᵫYZḄឋu9ḄḄ9MTA⌱⚗¡◤⌕ὃ⇋YZᙠ3j▲ᑁ\]Ḅ᦮9ᓽu,1,1,1,2h2,1kᐭYZ஺Ḅnos¥uNᡂᡠYZCᙠ3j▲ᑁN\]¦§᦮9_¨ᔠYZḄឋuYZC¡\]᦮90,0,ᓽA┯«xTB⌱⚗V+y2..2xyx>0,y>0,1ᫀ331⚓555⚓

43ᡠ,ᓃjjᡠ+,2)3=16/y2“16X(x<))=4(/+y1)2'ᡠ/+>2,,4,ᓽ8./xTC⌱⚗஺ᙊ92Ḅᙊ஺Ḅ☢F4¶·ᯠYZ஺ᡂḄḄ☢F¹Tᙊ஺Ḅ☢FᓽC┯«xT஺⌱⚗>0,ᡠxy▲3jh{▲ᓽ஺./.ᦑ⌱:BD.ூ9:௃<⚪ὃAYZḄ»¼no½¾ᱯÀ9kᐭÁஹᙳ)NOஹᙊḄ☢FÃ9ᨵjKḄÅᔠឋὃAÆÇᮣÉGᵨÃhnÁḄQR.31.ACூᑖ᪆௃ᐜÊËḄᐵÍpv=/(“),ᑨwᓫÏឋxᑡËÑ/ᐵT*ḄÓᦪ_Ôᓄ"#ḄOØuᑨwBxᑭᵨ“#xḄᐵÍ1⊤ÚvḄÓᦪuÊᨬ¹)xÜÝfj3u~/3Ḅᜧ¹.ூ௃u=Jx?+4+x,v=Jx?+4—X'•*,Jr+4----,x=24-ᵫ⚪á஻u=4,u=—ᙠ(0,+8)åæÓᦪA./.uBj=WE&+12s±="Z+îj^^,᦮ᳮð15f=a+4v+36,B┯«x3565101AI].i£C.ᵫAஹBð15=஻+—+3622/஻j+36=44,஻=jᓽ஻=4ôuuu1ᫀ332⚓555⚓

44____3ᵫyx2+4+%=4,ðx=]=1.5C./x5c27582V5710V5-21V500-V441c*anoD.x=4/=ùj+-,t-3=-....=-------=----------->0.r>3,D35351515┯.ᦑ⌱7AC.ூ9:௃<⚪ὃAÓᦪúûḄüᵨ⚪ý]þᐭÿᦪ
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