GCT数学真题至真题超全解析

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2004GCTᐭὃᦪẠ⚪25⚪⚪4ᑖᑖ100ᑖὃ45ᑖ1.ᙠᩩ3600mḄ!"#$ᵯ&ᩚ◞40m)*᢬,-ᙷ஺0ᦋ2◞60m$᪷ᵯ&ᩚᑣ◤⌕78᢬ᙷ9:ᙷḄ-ᦪᑖ;<=
oA.50940B.40950C.60930D.309602.?᪥ᨵBC᝕EF᪥BGF4HᑣIᒕ20HKFLBF8HᑣMᨵNKOPQ᪥ᨵ᝕ERSḄGᦪ2=஺A.4B.5C.6D.73.ᵬஹVWXₐZ[=7\]^ᔠ`ᑴᡂ•XᡂdₐᵬXₐe50ᐗVXe40ᐗ0ᵬXₐghi10%,VXₐgLj10%kᡂdₐḄgា,mnᢝpqᑣ!r=஺A.1s1B.5s4C.4s5D.5s64.tS“=1—2+3—4+…+=—1
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,vwJS2004+S2005=஺A.2B.1C.0D.-15.ᙠᩩhxyA,B,Cᑖ;[80ஹ70ஹ50km/hḄz{ᒴz}~xyAᵬᔣVy8,y஺VyAᔣ}ᵬ⌶yAyB⍗2hkyC⍗OPᵬஹVW"=஺A.2010kmB.2005kmC.1690kmD.1950km6.*2஻2+2008஻+3=092+200+2=0,vlj=஺A.3a—2b=0B.2a—3b=0C.3஻+2Z?=0D.2a+3b=07.ᦪa,6cᙠᦪhḄ᝞Lᡠbac------------•---e-----•------->Ox஺2)ᑣᦪk+஻|—R—H+|"d+c=()oA.—3a+2cB.—ci—cib—2cC.ci—2bD.3a8.ta,b,cᙳ2ᦪ^ߟ<—<—,ᑣ()஺a+bb+cc+aA.c

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2y17.ï(p,sinp)y=sinxḄᑗEFᑗyᡠᡂḄ☢4,=஻ᡠᡂḄ☢ᑣ()஺A.lim———=-B.lim——=-C.lim———=—D.lim———=1P-o+A+&3p_o+4+A22f+4+43P->O+4+A218.᝞/012ᡂ3Ḅ4()஺A.ᙠ(83,0);IKLln3-xln(3+x)C.ᙠA0,+8);BCln3-x>ln(3+x)D.ᙠ[0,+8);BCln3-Jvln(3+x)19.E/(ᐗ)OPQᦪSJU/(xsinx)sinjtdv=1,ᑣJY/(Rsinx)xcosRdx=()஺A.0B.1C.-1D.n20.᝞\]ᱥy=(&T)/`a(b-x)(&>0)xᡠ᪀ᡂḄ;c☢ᑖ4efgᑖᑣ()஺A.4hAD.i%ḄᜧlᐵnbḄᦪoᨵᐵABa\\a\2a\3-2%]—2a]2—2஻i321.E஻21a22%w0ᑣqᑡ2-2a21—2஻22—2஺23=()°a3\஻32஻33—2஻3182%2ߟ2%3

3A.8MB.2MC.-2MD.-8M22.tᔣva,BXឋyᐵ,zᔣvẆ262kM34+aឋ}ᐵ~ijQ)oA.3B.2C.-2D.-300ஹq10ஹ23.E4=0203=i22C=AB\ᑣ▣C-3q2ᑡḄᐗ03)13,4)oJ]_3A.B.C.D.3221-2224.E▣A=-26x,▤▣5/0,SA5=O,ᑣ஺30-6A.x=-8,KB)=lB.x=-8,KB)=2C.x=8,r(B)=lD.x=8,r(B)=2100ஹ25./ᑡ▣▣010}Ḅ▣4஺002Jk<1or110ஹ<10P<110ஹA.021B.021c.010D.010N01,001J1002,<002>

42004GCTᐭὃᦪẠ⚪ὃ¡ᫀ£᪆1.ூ¡ᫀ௃Dூ£᪆௃§◞40m᢬ᙷḄᦪU3600^40+1=91§◞60m᢬ᙷḄᦪvU3600+60+1=61ᵫ4060Ḅᨬl¯°ᦪ120,±²᢬³´ḄᙷḄᦪvU3600-120+1=31µ¶◤⌕³¹᢬ᙷḄᦪvU61-31=30ºᙷḄᦪvU91-31=60ᦑ⌱D஺2.ூ¡ᫀ௃Cூ£᪆௃EF᪥ᨵ᝕¿ÀÁxBᑣᨵ.+20>8(8"g^[4x+20<8x3.ூ¡ᫀ௃Cூ£᪆௃ÄÅᓄÇᡂÈÄ5°É+402ᐗx+y஻ஹÊᡃ/I/ᓱÍTH*Î8*150(1+10%)x+40(1—10%)y—ÄÅᓄÐᡂÈı⊤0--------------------------ᐔx+yÓÔÇÕᡂÈÄÖᢝ0Å5—=55--3^x+yx+y£Ø5x=4y,Øx:y=4:54.ூ¡ᫀ௃Bn,("Ꮤᦪ)ூ£᪆௃S“=l-2+3-4+…+(J)--+(-1)"-'«(n᜻ᦪ)2§2004=-10025_20(^-1+(-1)20042005=-1002+2005=10032005=µâᓃ$2004+åæ=—1002+1003=15.ூ¡ᫀ௃Dூ£᪆௃EA,B}⍗ÐᡠᵨÐBéᑣA,C}⍗ᡠᵨÐB(r+2)h,ᨵ(70+80)t=(80+50)(r+2)=>/=13h,µ¶ᵬஹfíîï(70+80)x13=1950km6.ூ¡ᫀ௃Bூ£᪆௃2a2+2008"3=0=>4ð+2008x2«+6=0

53b2+200ò+2=0=9/+2008x3ó6=0ঝ2জ-ঝØ(2a-3b)(2a+3/7)+2008(2a-36)=0(2a-3b)(2a+3b+2008)=02a-3b=0ᡈ2a+3b+2008=07.ூᫀ௃Aூ᪆௃ᵫ\±²b0,µ¶a+Z?<0,b-a<0,a-c<0t^-H\a+b\-\b-a\+\a-c\+c=-a-b+b-a-(a-c)+c=-3a+2c8.ூᫀ௃Aca■ᑐbc.a.b.A£᪆ù----<----<----=----+1<----+1<----+I=>b+cC+Qa+bb+cc+aa+Z?+ca+b+ca+b+c-------<-------<-------a+bb+ca+cµ஻ஹbஹcᙳûᦪᦑ஻+b>b+c>஻+c,h>a>c9.ூᫀ௃Dூ᪆௃ü⚪ý±²U11.A22sma=i-------------------=smp===—J=JIM,7(-D2+22V522h—181cosa=/=—i=cosp-,=—j=#+22V55/(-I)2+22Msin(a+/?)=sinacos/+cosasin/?=x()+1/=110.ூᫀ௃cூ᪆௃3ḄᨵC#=6%&'(ḄᨵC)=56%(ᵫ+,-Ḅᳫ,ᦑ1,AQ,ᦑ3Ḅᭆ᳛69=2஺562811.ூᫀ௃Cூ;<᪆௃AF=FE=ED=CBnNA=NFEA,NEFB=NEDA,NDCE=NDEC,NB=/CDBᵫ?;@ឋBC#ZEFB=2ZAZEFB+ZA=ZCED=>ZCED=3ZA--ZCED=n-2ZB2'ENC=5&CZA+ZB=-212.ூᫀ௃Cூ᪆௃HAB=a,BC=b,ᑣS=a஻ᵫLAOE,LAHB,PL8GCR,SῪU;?;@&C\AH\=^~a\AE\=y/2b\BG\=--b\HE\=\AE\-\AH\=y/2h--a\HG\=\HB\-\BG\=^a-^-b

6'EVW@EFG”,Z[@&ᦑ\]=^-_&ᓽᨵ“j31o2A=ah=-b2=>h2=-S23A1K[@ᵨG//=|HGf=:"b2=஻2=xSS28831213.ூeᫀ௃Bூg᪆௃᝞ijkC40m=)|4-|⁐pq(஺+r)=£t1A/MBz)=)|48HA£)kina=|"ysinai3A"oc=51AqiA஺pinp=-ysm/35ysina+3ysinp=15sinxᙠLACOPL48஺|ᵫ}~ᳮ#=\AB^+\AD(_21ABi|4O|cosa=52+)2-2x53'cosa|DC|2=\AC(+|AO_2bqi401cosJ3=32+y2-2x3ycos0E஺,8cḄ|&ᦑ5ycosa-3ycos/=8ঝᵫজ2+ঝ2᦮ᳮ34)7-30y2cos(a8)=225sin2x+64(a+/7=x)(15cosx-y2)2=(17-y2)22y2=17-15cosxᵫxe(0,n),Cl

72x(0a<2)ூg᪆௃ᵫjC/(x)=19~4X+2(x,2)-3x+6(oO+4+A218.ூeᫀ௃Bூg᪆௃xeo=>R+323nln(3+x)21n3nln(3+x)21n3rº3a<0&ᨵ3>3+x,ln3>ln(3+x),ln3-x>ln(3+x),ᦑ⌱B19.ூeᫀ௃Cூg᪆௃E(xsinx)'=sinx+xcosx,ÈÁ(sinx+xcosx)(ir=[xsinx]^=0JoᦑJJ/(xsinx)sinxdx+J#/(xsinx)xcosxdx=0j^/(xsinx)xcoardx=-120.ூeᫀ௃Bூg᪆௃᝞jᡠÎ#ᨵÏy=(V2-1)x2=x^b-x)Ðx=0ᡈff\V2-l)x2iv=^?%=?@A1=J஺3120

8bA=[AxCb-x)dx=—bx2JTb2—¯bÕ223422=ᒹ)b"ᒹBL)b?243121212ᡠ13/3A.+A=[Z\(fo-x)dx=—fe3--Z73=—/?3s**Jo236ᡠ4=&,,ᦑ⌱B஺21.ூᫀ௃Dᦑ⌱D஺22.ூᫀ௃D(᪆௃Xi(a+)B)+X[(2ᓡ()+3(34+a)=0(xj+x3)a+(2x1+2x2)P+(h2+3M)A=0+x=03ᵫa,P2■ឋᐵ,2ᑁ+2.%=0=k=-3kx+3/=0223.ூᫀ௃BᵫC=ABlᡠC7'=(AB=0ஹ0C-'=BA'

9ᦑ⌱B஺24.ூᫀ௃Aa2ூg᪆௃H8=Ûbb2}JlC2C3>EAB=O,8M,ᦑᨵa=2k=2cl}a-2bl+2c=0-2}lb,=2k=2c,1<-2a+6h+KJ=On&6]]C[=k3%—6(?1=00x=-8r220ஹ(I20ஹᦑk³B=220n0001(J100J0>r(B)=lᦑ⌱A஺25.ூᫀ௃Cூ᪆௃᪷ÝᐵᭆÞkCC6Zßeᫀ஺

102005àGCTᐭâãὃåᦪâæẠèéå⚪25⚪&¼⚪4ᑖ&ëᑖ100ᑖ&ὃåì45ᑖíî(1--)(1--)(1--)(1--)23456789I.Ḅï,ð)o0.1+0.2+0.3+0.4+0.5+0.6+0.7+0.8+0.922C.2D.ñA.—B.-819222.Hp6Zᦪ&ᑣ/+஻/-99=()oA.(x-9)(x-ll)B.(x+9)(x-lDC.(x-9)(x+lDD.(x+9)(x+lD3.ᙠVW@A8CQ|;AC,BDᚖUÏ+஺&òAC=30,3஺=36,ᑣVW@48C஺Ḅ☢ô6ðî஺A.1080B.840C.720D.5404.õ⚗÷¤8°ᵨ35ᜩùᡂûᐰ÷¤ýḄ:‘᝞
6’ᡂᒕḄ◤⌕Ḅᜩᦪ
oA.18B.35C.40D.605.x-y=5z-y=10,ᑣx?+_/+/-yz-^x=஺A.50B.75C.100D.1056.2005"#ᡃ%ᵬḕ(ᐰ%(Ḅc%,ᐸ+,-.ᓰ%ᑁ+,-.Ḅd%;1ḕ(ᐰ%(Ḅe%,ᐸ+,-.ᓰ%ᑁ+,-.Ḅ/%,ᑣ2005"ᵬḕᙳ+,-.D1ḕᙳ+,-.EF)oAcdccec.ᡈD.HA.—B.efdfdecf7.Iᦪz=l—i
2ḄJK=()oA.4B.2V2C.2D.V28.MNOPḄQ0Rᦪa,b,cᡂBSᦪᑡ#UV,c,bាᡂBFᦪᑡ#ᑣXBCb()oA.4B.2C.-4D.-29.789᦮ᦪ#ᐸ;<ᦪḄ=>ᦪ?4Ḅᭆ᳛BC஺A.0.1B.0.2C.0.3D.0.410.ᙊ┵[\ᘤᵬD^ᳫ[\ᘤ1#`aḄb(ᙊḄcdDeḄfg᝞hᡠjᓫ>:dm
,mᵨᵬ\ᘤ8opq1\ᘤ#ᑣrV⌕pos஺A.6B.8C.12D.16

1111.ᙠvABCz#AB=10,AC=8,BC=6,|C}~CᑮABḄcdᙊ,ᙊDA8ᨵᐳ},ACCM,IBCJN,ᑣMNBC()oA.3-B.4-C.7-D.13-4523COS0=a+\IJcos(e+"Ḅ.()o12.஺<0,2aA1cLA.--B.C•D.—22213.,¡F¢£ᦪy=9h¥¦Ḅ}#|Pᑖ©ªᙶ᪗Ḅ;®¯#OxXCOyCMᑣAMPNḄ☢³()஺A.y/2B.1C.—D.—2414.´ᙊḄᙊµ¶(6,¸)#ᙊDᙶ᪗CA(0,-4)ஹB(0,-12)ª}#ᑣ¶ᑮᙶ᪗º}Ḅ()஺A.2V13B.8C.10D.107215.|tane|#l,mᙊ(x+cosO)2+(y+sine)2=lḄᙊµᙠÃHÄ▲#ᑣ</cos஺-ÆsinO+2=0Ḅh[()»A.ÈɯB.ÊᙊC.Ëᱥ¯D.c¯16.´£ᦪ/(x)ḄÍÎÏ[0,1],ᑣ£ᦪg(x)=-x,/(sinᐔx)+Jl+x•/(I+cosᐔx)ḄÍÎÏ()oA.|x|^lB.OWxWlC.W<0.5D.0.5WxWl17.£ᦪÖx)=——×——ᙠ(-8,+00)¦ᨵ()஺A.1ᩩÙcÚÛ¯#1ᩩo;ÚÛ¯B.1ᩩÙcÚÛ¯#2ᩩo;ÚÛ¯C.2ᩩÙcÚÛ¯#1ᩩo;ÚÛ¯D.2ᩩÙcÚÛ¯#2ᩩo;ÚÛ¯18.´/(/)ᙠ}x=0ᜐÝÞ#/(¦)=஽"=1,2,3à),ᑣ/'(0)=()஺nnA.0B.1C.2D.319.m/(x)Ḅã▤Þᦪåæ#lim/஻(x)=l,ᑣé7êëᦪa,ìᨵ

12lim[ff(x+a)-/Xx)]=()஺A.aB.1C.0D.af\a)20.´x"nx/Xx)Ḅ•º£ᦪ#ᑣNͳᑖí¶(x)d.v=()஺21A.—x3

13x+—x3+CB.2x-x2Inx+C39C.x2

14x+x2+CD.3x2lnx+x24-C21.´åæ£ᦪy=/(x)ᙠ0,aᑁîïᓫð⌴#/(0)=0,/(a)=a,mg(x)/1(x)Ḅ¡£ᦪ#llò(/(x)+g(x))dx=()oJ0.0g(x)dxaa*a)ḄA.%%B.a?ava4C.a?avayD.(3-in23.´4=201,ᑣAḄéXCᱯô.2Ḅᱯôᔣö()o-1aஹ0rA.oB.-iC.1D.i-10#24.X஻÷ᓫ>ᑡᔣö#*T*Ḅùú#ûᓫ>ü▣#m6=ᡭ1ᑣG2BC(A.GB.±GC.1D.abc25.´mb,c<——2x+4=0ḄM᪷ᑣᑡbaḄ()஺ahA.1B.0C.-1D.-2

152005GCTᐭὃᦪẠ⚪ὃᫀ᪆1.ூᫀ௃Aூ᪆௃#$%&'()⚪*ᨵ,-஺11238-291=_________________2349__________________-=-96(0.1+0.9)+(0.2+0.8)+(0.3+0.7)+(0.4+0.6)+0.5-812ᦑA>?@ᫀ஺2.ூᫀ௃Cூ᪆௃)⚪BCᩭ*EᩖᨵGHᦪIᙠK᝞MᡃOPᵨRSTᳮV⚪WXᓫZ[,]>p>?ᦪᦑ_᪷ab>cᦪᦑC>?@ᫀ஺3.ூᫀ௃Dூ᪆௃]>AC8஺ᡠfAKMBCO=AMBC+=gAC.°B+]=-ACCOB+OD)=1ACB£)=-x30x36=540222ᦑD>?@ᫀ஺4.ூᫀ௃Cூ᪆௃᪷n⚪op◤xᜩsᡂ஺ᑣᨵu1x=40ᦑ⌱Co5.ூᫀ௃Bூ᪆௃ᵫyHz''=5®nz-x=5ঞ1z-y=10ঝজஹঝஹঞḄ_ᑖᓽ஺2(/+y2+z2)-2(xy+yz+zx)=150ᡠfx2+y2+z2-+”-zx=75ᦑ⌱B஺6.ூᫀ௃Dூ᪆௃)⚪pᐰ>a,ᑁ>ᓃ஺ᑣ⚪oᨵᵬḕᙳ>¡¢,£ḕ>¤"ᦑ¦ὅḄ¨>᝕஺c%-ae°/o-acf

16)ª⚪W«¬GHḄᎷp¢ᩭV⚪'(WfXᓄ᧕[஺°±¢ᫀ>D஺7.ூᫀ௃Cூ᪆௃ᵫEᦪḄឋ³´=|zf஺ᦑµ=|l-if=¶
2=2ᦑ⌱C஺8.ூᫀ௃Aூ᪆௃)⚪fᢥ¸ᡈᢥ¨º»ᦪp¢ᩭ¼᪷nឋ³½¾¿ÀᯠÂÃ஺ÄÅᡃOÆÇᑭᵨ¸É⚗u2b=a+cজ¨É⚗c2=abঝὶÌজঝu4b2+a2-5ab=0ঞ_ÍÎ◀°ᓽ'5Ð+4=0টÀᯠ@=4ᡈÒ=1ÓÔÕÖhbᦑ⌱A஺9.ூᫀ௃Bூ᪆௃ÀᯠÄ×ᦪØ«ᵫᦪÙ09¿ᔠᡂḄ஺ᐸÉᦪḄÜÝᦪ>4ḄÞᨵᦪÙ2b8஺ᦑᐸᭆ᳛>2=¤=0.2105ᦑ⌱B஺10.ூᫀ௃Bூ᪆௃)⚪á³W«¨âᵬஹ£_ãᘤḄåæ஺Vpp=——)2-1z32V=---K-l3z£23ᦑç«èḄ8éᓽêëìᐭ8íᫀ>B஺11.ூᫀ௃Bூ᪆௃✌ᐜᢥ⚪oðñÀᯠABC>ÆòºòóᐸÉNC=90஺±M,N>ᙊõ_öᦑ÷஻஺%>Æòºòóᵫᙊfúûឋ³HMNᓽ>)ᙊḄÆüᓽCQᑮ”ḄþÿᓽBᫀ஺12.ூᫀ௃Aூ᪆௃⚪⌕ᢥcos6+ᡃᱯ•6!⌱#⚪Ḅᨬ&'(஺)a=-1,ᑣcos6=-l,sin=0o

17ᡠcos(^+—)=cos0-cos--sin-sin—=----6662ᦑ⌱Ao13.ூᫀ௃Cூ᪆௃᝞AᡠBC)D(x,G0XᑣSAPMN=-PN-PM=—x-ߟߟ=——22x2ᦑ⌱C஺14.ூᫀ௃Cூ᪆௃᝞AᡠBᵫᚖLMᳮCOAM=4஺ᦑM0=8MP=6ᡠOP=10஺ᦑ⌱C஺15.ூᫀ௃Bூ᪆௃ᵫx2cos6-y2sine+2=0XYZ22-2_____£^ᓺ22sin஺cos஺^_x+cos஺`+_y+sin8>=1,ᙊc_-cosa-sin஺ᙠfg▲஺ᡠcos6<0,sin8>0஺ᦑjᙊ⌱B஺16.ூᫀ௃D1+/201-x^Oூ᪆௃lmOCZ=><0W/W1nO.5Wxீl0WsinᐔIW10<1+COS7L¥y1Lwxw122ᦑ⌱D஺17.ூᫀ௃Dூ᪆௃zlim/(A|)=8,lim/(x)=ooXTIX->2ᦑx=l,x=2}ᩩ஺1lim/JO=lim-.......=lim-=1XT++<®[32lim/_x=lim-..-----=-1XffX+9X-3x+2ᦑ=±12ᩩ஺ᦑ⌱D஺

1818.ூᫀ௃Cூ᪆௃/(-)=-,^-=t,n=-nnntᡠ/(02rᓽ/(x)=2xᵫᦪMᙠ0ᜐCn1-7G)—/(°)1-2x—0஺ᓽD(0)=hm-----------=lim------=2io%-0xᦑ⌱C஺19.ூᫀ௃Aூ᪆௃lim/'(x+a)-/'(x)]=limZ(-v+tf)(-v),f"(^)=a=alimaXT+OOL¡XT+CC(1+஻)—xXTXOᦑ⌱Ao20.ூᫀ௃Cூ᪆௃ᵫ⚪£/(x)=(x2|nxy=2xlnx+xজ^JV'(x)dx=Jxd/(x)=4(x)-J7(x)dx©জªᐭ¬ª=-J(2xlnx+x)dx=xf(x)-jlnxdx2-Jxdx=xf(x)-lnx-x2+Jxdx-Jxdx=x2

19x+x1+Cᦑ⌱C஺21.ூᫀ௃Bூ᪆௃⚪᝞ᑭᵨ°ᑖ²³ᦪ©¬ªXY´µ¶ᩖ஺ᡃᵨᦪY¸ᔠᵫ⚪£º)ᙠ»0,C¼ᓫ¾/(0)=0,(“)=஻஺ᦑC)Ag᝞AᡠB஺ᑣJÀ»Áx)+g(x“dX=JÀf(x)dX+JÀg(x)dXg(x)/(x)Ḅ²³ᦪᦑ¬ª=J|"(x)dx+J|g(y)dyᵫªCÄŬªÆǼ}ÈAYÉÊËᡂAYḄ☢°ᓽÎÏaḄÐÑYḄ☢°/ᓽD(Ò஺ᦑ⌱B஺22.ூᫀ௃D(᪆௃)A=(a2,aa)v4<0-110ஹ0à110ஹ<0-110ஹ2-1-1020-2010-10—>—->1-10110-110001J-10T,*00-2À<0000;Óᯠ᩽ᜧឋØᐵÚ4,2,%ᡈa?,Ý,4ÞCᡠ⌱D஺23.ூᫀ௃D

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35A.0.920B.0.935C.0.950D.0.99610.67Ḅ8ᦪ஺9:ᙳ<=>?f_3x=l,ᑣE+GḄH7I'abA.-18B.18C.36D.-3611.48M=ᳫO7ᑖP8QRSTUVQWḄᔜOYZ[⌕]U&^TUW]UḄ_^ᦪP'(oA.288B.240C.120D.4812.#-1ᡈ#-2,1=c+/_ឤᡂ,ᑣ()஺ᑍ+3/+2x+1x+2A.m=—2n=3B.m=—3,n=lC.m=2n=—3D.j=3,n=—2ff13.klm8ᦪa,b,opqrsta,᝞wab,᝞wayb஺೙b=!a<8b=b,᝞wa2D.ᙠx=lḄ·¸'º1(Wf'x(Mis.½WḄ¾ᩩÀᑖtজf'x(,ঝr>a(df,ঞƽt(dtḄ,ᢥJஹ3JxÊ᣸Ì9Wᡠ᪗β'x(,y'x(,%'x(ḄkÐᐵÒ'(஺2

36A.ᨴ(6),y2(x),y3(x)B.yj(x),y3(x),P(᜜C.y(x),y/x),y(x)D.y(x),y(x),yCx)3232{---------------y=ji(x)------------().....................y=>(x)319.ªÖᦪ/(x)×Ø/(0)=1,Ù(&hu)=xᑣ/(1)=()foA.2-e~'B.\-e~'C.1+e-1D.120.Ày=x+▲~Ḅ9ᓫßᙊx2+/=l~ḄYZḄᨬXàáâPd,ãIJ()஺A.d=\B.de(0,1)C.d=y/2D.d€(l,V2)1r3x_2t_,.ᓝMi/./•/ஹ~r(e—1)d/,xw0_j.ç1ஹè,~21.¯Öᦪ/(%)=1%3Joᙠ1=0éêa,x=0ᑣ.=()oA.-9B.-3C.0H10ஹ22.4*4=011Ḅñòó▣஺¯¾▤ó▣X<=A*X=A,ᑣXḄì3SḄSᔣJobð()oB.(121)C.(1g1A.(211)D.11x101SöUG1x123.10øùGWḄúᦪ⚗P()o1X101XA.4B.2C.1D.0

37'31-2ஹ24.19-1ó▣A=-t-1tḄᱯýHᑣf=()ó▣A×kþᓄ஺41-3)A.2B.1C.0D.-1
1aஹ25.4=01-1,b=(—1—1a)Tfᑣa=()AX4஺A.1B.2C.-1D.-2

382007GCTᐭὃᦪẠ⚪ὃᫀ᪆1.ூᫀ௃Dூ᪆௃ᑖ#$12-22+32-42+52-62+72-82+92-102=-3-7-1l-15-19=-x52x(-3-19)=-554ᑖ5678✌⚗$20=1,<=$2Ḅ?=ᦪᑡABCD1x0-28)=225஺1—2⚪FG?H=IJ=-1ᦑL⌱D஺255512.ூᫀ௃Bூ᪆௃OḄᔠᦪ$2x2x2x2=24=16,Qᓽ#Sᦪ$168஺TUVᓽ$WSᔠXYTZUVᓽ$[S0஺ᦑ\]ᫀ$B஺3.ூᫀ௃Cூ᪆௃yjx+y-2>0,|x+2y\>04aJx+y-2+d+2e,|=0,ᑣᨵCd=4,ᦑL⌱c஺b=-24.ூᫀ௃Bூ᪆௃ijkLḄlmnop?qrkLḄlmsop?஺ᑣijᡈqrlm☢v=p?஺ᓽ2="ᡈ2=xyX${48|lmḄ☢ve,C1=20,ᦑL⌱B஺12x15x5.ூᫀ௃Aூ᪆௃/?=12-4=8cm,/=12-2=10cm,ᑣḄn☢ᙊ2/=J/?2=6cm,ᓽr=3cm஺Ḅv$Dᐔ஻=32X8K=72K,ᦑL⌱Ao6.ூᫀ௃Cூ᪆௃$s=W,ᡠ_=NysZe஺AᑮBv᜜ᵬ◤ᵨ30min,◤ᵨ40min,¢lj¤/v=40/30=4/3஺=ᵬ¥U¦5min§BᵬU¦¨fᑖª«¬ip®/U=¯=4/3,ᑣE5,ᦑL⌱C஺7.ூᫀ௃Aூ²³᪆´ᙠRt/\ABFFAB=2CD¶4BF=30°,ᑣBF=———=¹i=—CD4cosZABFcos303

39aᙠFNBFE=45°,BE=BF-smZBFE=CD4ᙠºZYBECFZBC£=60°,34QCOC£=-^-7=—CD4ᙠaÁCUEFtanZCD£=—=-^----=—,ᦑL⌱A஺sin603CDCD38.ூᫀ௃Bூ᪆௃Æᦪz-i+i2+i2-i+i2-i2+i2-i2-i+i2-i2-i2+i2-i2-i2-i=i-]-J+1+Z-1-J=-1,ᑣ|z+i|=|-1+i\=7(-O2+l2=V2,ᦑL⌱B஺9.ூᫀ௃Dூ᪆௃ÉÊ4$“ᐸF78ÍÎᘤ¦UÐÑ”ÉÊB$“Ó78ÍÎᘤ¦UÐÑ”,ᑣP(A)=0.95,P(8)=0.92஺ÉÊAஹBÖᨵ78¦×ḄkØÉÊ$Ù8ᙳZ¦×ÛÉÊḄᭆ᳛$D1-[1-P(A)][1-P(B)]=1-(1-0.95)X(1-0.92)=0.996,ᦑL⌱D஺10.ூᫀ௃Dூ᪆௃aஹb6?-3rM=0ḄÙ8Z?ß᪷ᵫâãäᳮCd+”=3஺[ab=-\b2a2a3+b3(a+h)[a2-ab+b2](a+b)[(a+b)2-3ab]3x[32-3x(-1)]---1---=====—36,ᦋéabah-----------ah------------------ab-----------------1⌱D஺X⚪ZêAU“b,ëᑭᵨ᪷íᦪḄᐵíï$ðñ᧕ó஺11.ூᫀ௃Cூ᪆௃48ôõᳫ÷?ᑖ$8ᑣø6ôõᳫ÷஺øᑁúḄ=ûüý«ᵨjþÙÿ
ᐜ1ᳫᒕḄ5ᳫ⌕ᐳᨵ5⌱1ᒕḄ4ᳫ⌕ᐳᨵ4!"ᐳᦪ$5+4+3+2+1=15)᣸ᑡ,ᔠ
⌱.ᐳᨵ,ᔠc0c0c12⌕3ὃ⇋⌱.Ḅ67◀9᣸ᑡᦪAᓽC0C0CுA=15஺?,⌕15ᐳᨵ8,ᑣBḄCᐳᨵ8x15=120ᦑG⌱C஺12.ூKᫀ௃AூN᪆௃PQ1RS2T,1=V+஽=X+2)+X+1)R+3X+2X+1X+2(x+l)(x+2)=0"+?”+Q\+஻)ឤᡂ`,ᓽaGbᦪcdᓽ1'"+"=1,Ng]"=-2,ᦑG⌱j஺x2+3x+2[2tn+n.=-1[n=313.ூKᫀ௃BூN᪆௃a೙bḄnoabpḄqᜧὅa«)bḄnoᑣuqvDὅᑣx(5©7)@5=5,(507)೙7=7,ᦑG⌱B஺/14.ூKᫀ௃B/ூN᪆௃ᙠ~4BCpZA:NB:NC=3:2:7NA+NB+NC=180°,%/ᦑᨵNA=--—X1800=45°,ZB=---xl80°=30°,/3+2+73+2+7/nAC(E)

407ZC=-------X18O°=105°oὃ⇋ᓽCEᔠT3+2+7ᵫZADE=60°,ᑣZACZ)=75°,/£>CB=30°,gᑮCC=OB஺ᙠzMCQp$75°>45°,ᡠ9AO>OC=L>8஺S&D=-BD-BCsin30°<-xl/lBBCsin30=1&ABC஺N4஻E=60஺BC2222ឤᡂ`¡¢QEᑖ~ABC$☢¥cdḄ¦ᙽQEGᔣ©ª«ᓽ¬/3®C¯°4Cc±ᦑG⌱B஺15.ூᫀ௃Cூ᪆௃ᙊḄ³´ᓄ$0(x-3)2+(y-4)2=22,ᓽᙊ!X$0Y3,4),¹º$2,᦮¼ᙊᜐ¾¿▲஺Áy=fcv16ᙊcᑗT?ugᨬᜧÇRᨬvÇ᝞ÉÊᡠËÌᑗ¯ᓽ$ÍRo஺ÎÏ஺?O'Q,Í஺R஺᪷ÑᙊḄᑗḄឋÓO'P=OQ=2,/஺Í஺=/஺0஺=90°,ᑣ~஺Í஺Õ~°OQO\0஺'ªᑖ40°,OO'VPQªᑖPQM.Ö×°——CO஽32+42=5஺_____/yrᑣᙠRt/XOO'Qp=sinZOO'Q=^-»ᙠRt/^O'MQpMQ=-PQ=O'QsmZO0,ᦑᨵᙠx=lXT1X->1Ḅíüý(XH1)p/(x)-2>0ᓽ/(x)>2,ᦑG⌱C஺18.ூᫀ௃Dூ᪆௃;ÿᑖᦪ/পᙠx,x+1x,x+3Ḅᙳ஺ᨴ(x),(X),x(X)ᙠ!x+1x,x+3ᙳᨵ#!ᐸᙳ%&f(x)Ḅ()!*/(+)=(X)஺*-/.ᨴ(0012)34!562(0)12)

4134!8*9:j'/(f)dt=y2(X)!ᑣ;B+3/(r)df=yi(x),ᦑ%⌱D஺19.ூKᫀ௃AூO᪆௃Q-hu=f,ᑣᵫV(fix)=xWVX=e-',Yf(0)=1,f(/)-f(0)=J.1-/',ᑣ.f(t)=2-e-',/(1)=2-Jᦑ%⌱A஺20.ூKᫀ௃DூO᪆௃[\y=x+^•_`abᙶ᪗(x,x+-),eᑮᓫhᙊᙊḄjk.XXx2+(x+-)2=.2+4+2loᦈ.3+2=V2V2+2,nopn2r=q-rsᡂu஺ᨬwjkd=,2&+2-l஺4<2|+2<2}+3=(%+1>,ᡠ"-1<"3+2&-1,ᓽ1<“<⊈,ᦑ%⌱D஺21.ூKᫀ௃A|»3x_.2-1)ூO᪆௃ᦪ/(N)ᙠl=0b!/(0)=tz=lim/(x)=lim-------------=j10xf03ᑣ3(e3-i)3x(-18x)e-9/“„ᵪஹhm=--------=hm--------------=hm-9e=-9,ᦑ⌱A஺)TO3XᑣXf஺6xx->o22.ூKᫀ௃C110ூO᪆௃|A|=011=2M,ᑣ▣A9⌮o4*=£4a1A*X=4ᓄ¥A"X=A,¦101§¨©A,Wqi0Y110p2ஹx=4=Uoi1011-112,ᑣXḄ3®Ḅ®ᔣ°|A|22-imoi2J0□11JD!ᦑ%⌱c஺23.ூKᫀ௃DX101010101x10101ூO᪆௃®ᑡ´µḄXᙳ4-!¶·ᓽ¸ᦪ⚗!ᓽ¸ᦪ⚗==0,1x101010101X1010ᦑ%⌱D஺

4224.ூKᫀ௃CூO᪆௃ᱯ»¼r3▣A½¾\ᐗÀ¼!ᑣW3Áᱯ».(3-1-3)-(1-1)=-1,ᓽ-1ÂÃᱯ»஺ÄÅA9½¾ᓄ!ᑣ-1½%¦Á\ឋÇᐵḄᱯ»ᔣ°!’41-2ஹ'41-2ஹᓽÉr(4+E)=1,½A+EÊ®rᦔÌᣚ,A+E=-t0t->-t0trG4+E)=1,ஹ41a2,ஹ000,ᑣᓰ0,ᓽ0-!▣49½¾ᓄ!ᦑ%⌱C஺25.ூKᫀ௃BூO᪆௃ÏÐÑÇO,⊤1r(A)Hr(Alb),½ÓV▣Ê®Ìᣚ,'11a-T'11a-1](11a-1(AIz>)=01-1-i->01-1-1->01a1-12a2-l-1-aa+1>100(a+l)(a-2)a(a+l)Ja-1a,ஹ0(a+l)(a-2)=0r(A)*r(Al*),ᑣᨵWa=2,ᦑ%⌱B஺a(a+1)^0

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