2023年广西玉林高中、柳铁高考冲刺数学模拟试题含解析

《2023年广西玉林高中、柳铁高考冲刺数学模拟试题含解析》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
ὃᦪᔁὃ1,ᐰᔁᑖ⌱⚪⌱⚪ᑖᐰᙠ⚪஺⌱⚪ᵨ2B!"#⌱⚪Ḅᫀᵨ&⁐()Ḅ*ᡈ(ᑏᙠ“⚪”/012஺2,3ᵨ&⁐()Ḅ*ᡈ(ᙠ“⚪”ᐜ!ᑏ567ὃ89஺3.:ᢝᓱ☢>?@⌕ᢚC@⌕DẚஹDGᙠ₝Iஹ⚪ᔁ⚪Jᦔ஺Lஹ⌱⚪M⚪ᐳ12O⚪PO⚪5ᑖᐳ60ᑖ஺ᙠPO⚪QRḄST⌱⚗VWᨵL⚗YZᔠ⚪\⌕]Ḅ஺1.^_ᦪ/x=lnx+l,gx=2e*T`/m=g஻bᡂdᑣᔙ”ḄᨬOhYA.—I-In2B.e-2C.In2D.---2222.ᵬஹlஹmno/pqᙠrᙢt☢^unov@twpxJoyzᑮ|ᑣᵬ}LTᑮஹm}nTᑮḄᭆ᳛Yb1111A.-B.—C.-D.L3456..UUUUUUc,...3.ᙠABCV^A3.AC=9sin5=cosAsinC,8c=6,PABḄLxCACB11y,ḄᨬOhb4A.B.12c.&D.12331244.rS┵Ḅn᝞ᡠS┵ᡠᨵḄḄᔠᑣM---2----M()*+A.20eS,x2AsB.2S,x20eSC.2A/2GS,x2AsD.20eS,x2ᨴeS5.ᔠA={H—2

1A.(0,2)B.(2,4]C.[4,-KO)D.(F,0)6.^ᔠ4={ᑘ/L2%L15>0},B={x|0?@89⊟;<=>?@A.21250ᐗB.28000ᐗC.29750ᐗD.850007E9._ᦪ/ÎᙠRÏÐᐸÐ_ᦪÊ'X,`_ᦪ“Xᙠx=lᜐÓ᩽ᜧhᑣ_ᦪ>=L×"ḄÙÏÚYb10.±ᦪzÛÜl+iz=l-7i,Ýᙠ±²☢ᑁḄ´01°A.}LÙ▲B.}ßÙ▲C.}nÙ▲D.}SÙ▲11.᝞àᱥâ=8ãḄᯖåæåḄç/èàᱥMé°A,8`ç/èêåᙊì,

2IJ஺L஺Mᙶ᪗PQRMSTḄᙊWXc,஺YQᑣᐵX|\஺-]4^Ḅ_`abḄcA.dX4B.ᜧX4C.fX4D.gbh12.ijklm2018n12oᨴḄᦈᐭstuᦪwḄᢚI+᝞+ᡠ{:}ᐗ᪷wᢚI+jᑡ_`┯ḄcA.lm2018nḄ12oᨴḄ7ᨴḄᦈᨬB.lm2018nḄ12oᨴḄ4ᨴḄᦈᨬC.lm2018n1-6ᨴḄᦈX2018n7-12ᨴḄᦈD.lm2018n7-12ᨴḄᦈ2018n1-6ᨴḄᦈR90}ᐗஹ⚪⚪ᐳ4f⚪f⚪5ᑖᐳ20ᑖ஺13.I-᧡=1S>OḄ&ᩩ¡I¢£M>=¤¥ᑣIḄ¦§᳛M.14.©ᦪ/
x=In-x+,4+3x-x?Ḅhª«c.ᑏᡂ®¯Ḅ°±15.ijᔣ³஻¢µ¶|ᑭ=2,|5|=3,¸ijᔣ³}¹Ḅᜳ»M60°,a-c.h-c=0,¼½¾Ḅᨬf^c

316.¿À-3«”ḄÃıᔜ⚗ÇᦪÈÉM32,ᑣÃıxḄÇᦪMxÊஹËÌ⚪ᐳ70ᑖ஺ËÌÍᑏuᦻÏ_ÐஹÑÐÒ£ᡈÔÕÖ×஺Ø12]17.12ᑖijÙ▣j=.Ḅ&oᱯÜ^M3,ÝÞ&oᱯÜ^ßᐸáÍḄ&oᱯÜᔣ³.2a18.12ᑖijdâᦪᑡµ¶4=1,ãâd>0,dᦪᑡå浶4=%,b=a,4=%.22পÝᦪᑡèqæ,åæḄê⚗ã±ëফ¿ᦪᑡíµ¶?+£+?+…+2=%ÝᓃæḄò஻⚗ÉS”."1஽“3"஻19.12ᑖ©ᦪ/x=sin2x+À+cos2_r+VJsinxcosx.TVপ¿ᵪ<“Ý©ᦪ/úḄ^«;ফA,5,CMAABCḄÊoᑁ»¿/8=|,cosA+C=-ýÝcosCḄ^ë20.12ᑖ᝞+þÿ┵P—ABCDḄ☢ZABC^90°,AB=BC=\,8=2,PCI☢ABC஺PC=4iE஺஺Ḅ.1BE±AP"2M"#$8%&Ḅ'(#AM)#OPᡠᡂḄᨬ./012┵P-CDMḄ45.21.12ᑖ᝞8ᙠ:2┵A—3CDE<☢<☢ABC,BE±EC,BC=1,AB=2,ZABC=60°.DB

4(I)0BE1<☢ACE@(IDA┦C☢E—A3—CḄDEF:0#CE)<☢A8CᡠᡂḄ.722.(10ᑖ)IJᦪᑡM,NO=1,ᐸQ஻⚗TS,,VWX2S,=(஻+l)a.(஻eN+).(1)0ᦪᑡ^%NḄ`⚗ab@(2)c2=3"-e>AᦪᑡgN⌴iᦪᑡ02ḄjFl.íὃᫀmஹ⌱p⚪r⚪ᐳ12.⚪t.⚪5ᑖᐳ60ᑖ஺ᙠt.⚪wgḄ:x⌱⚗yᨵm⚗"{ᔠ⚪}⌕0Ḅ஺1.Aூ᪆௃ᑖ᪆/(஻?)=g(஻)=/,ᑣf>0,஻2஻ᵨf⊤ᯠ"(/)=஻?m஻ᵫᦪ0஻(஺Ḅᨬ.F./(ᑭ)=g(஻)=fUf>0,m=e'"'»n=In—+—=ln/-ln2+-,222:.m-n=er~]-In/+In2——,.=*'-Inr4-In2——22ᑣ஻"Q)=dT+5>o,"(0,ᵨ)&Ḅiᦪ'প=0,.•.(fw(O,l)/,h\t)<0,(/G(1,+OO)/,h\t)>0,ᓽ¥«)ᙠ(0,1)&ᓫ¨⌴©ᙠ(1,y)&ᓫ¨⌴i4(1)"᩽.F¬"ᨬ.F/?(1)=—FIn2,"L”Ḅᨬ.F"m+In2.22ᦑ⌱A.±r⚪᧕┯⌱B,ᑭᵨᦪ´0ᦪḄᨬF⚪/µ¶·¸¹º»ᐸ0¥-஺Ḅᨬ.F¼⚪`½᪀⌼Àᦪ,Áᓄ0ᦪ஻0)Ḅᨬ.F¼⚪Ã᜜`½CÅ0ÆÇᦪḄᓫ¨ÈɬÊË᧕g┯.2.Dூ᪆௃ᐜᑨÎ"mxÏᐺᭆÒᑡÓgᵬஹÕஹÖ1¥×ØᑮÚḄÛrÜÝÞᦪßᑮᵬàmxᑮஹÖà1xᑮḄÛrÜ

5ÝḄÞᦪᑭᵨÏᐺᭆÒḄᭆ᳛ab0.ூ௃ᵬஹÕஹÖ1¥×ØᑮÚḄÛrÜÝᨵᵬÕÖᵬÖÕÕᵬÖÕÖᵬÖᵬÕÖÕᵬᐳ6ÞᐸᵬàmxᑮஹÖà1xᑮᨵᵬÕÖᐳ1ÞᡠâᵬàmxᑮஹÖà1xᑮḄᭆ᳛""=ᦑ⌱Dூ±௃r⚪å⌕ὃçÏᐺᭆÒḄᭆ᳛0´èὃçéᳮë᪆Ḅ¸ìíÛẠ⚪.3.Aூ᪆௃ᙠAABCAB=c,BC=a,AC=b,ïᔠ1ḄᑁTñTḄòEabᓄó·0cosC=(),·7TC=-,ßᵫIJᩩÝ0஺=4,b=3,c=5,ὃ⇋ö÷âACᡠᙠḄ#Xøâ8CᡠᙠḄ#Vøö2÷ᙶ᪗û᪷ýIJᩩÝïᔠᔣÿḄᙶ᪗4x+3y=12,ᯠᑭᵨ'Ḅᨬ.ூ௃ᙠABC=BC=a,AC=b,,/sinB=cosAsinC,ᓽsin(A+C)=cosAsinC,ᓽsinAcosC+cosAsinC=cosAsinC,.,.sinAcosC=0,71,OvAv/r,/.sinA>0,/.cosC=0,\,0

6ᑣC:0,0;ஹ43,0
ஹB:0,4;,PABḄLᑣîᙠᦪ4ïÓð=Xñ=Xߟ3,4;=-32,4/1;:0<2<1
,:.CP=CA+CB=(3—32,4/1),CACBூ÷ø
ᑣy=y=1,ß6=(1,0),02=(0,1),CACBx=3—34:CP^x.=+,?=3+ò=(x,y),,óôXÓ4x+3y=12,ß+2=1,y=4A34,1111>ஹxyᡠê-H-+=-+——+—=—+—+—>2%y*y)34J3y4x12ùxùx=Y3yz¯9ᡂd,2'úḄᨬOhd+û.Xy312ᦑ⌱A.ூý௃M⚪YL⍝᪀
ᝯḄ⚪ᔠὃḄᑁᳮஹḄ!"ᨬ$%⚪CA"⚪Ḅᐵ'(ᳮ")*(+,ᓫ.ᔣ0123ᵨ5ஹ6'⊤9:;ᦪḄᐵ@"A⚪ḄBC,ᐵ'DᙠFᵫx=3-3ᐘஹ=44JK4L+3N=12P$12ὃ⇋ᑭᵨ!"ᨬS$ὃTUVWXFY⚪.4.Dூ
᪆௃

7᝞\ᡠ9^ᙠ_`P2ḄabABC஺-efg┵ABC஺ijᩩlᦑ5={2,2/,2)},pᑮrூt"௃᝞\ᡠ9^ᙠ_`P2ḄabABC஺—A4G஺efg┵G-ABC஺ijᩩl.ᦑA8=BC=C0=A0=Cq=2,BC]=DCஹ=26,ACஹ=25ᦑ5={2,20,2)},ᦑ20eS,€S.ᦑ⌱^D.ூDx௃⚪ὃy\ᐗ{|ᔠḄᐵ@}ᙠὃ~ḄVWTUVW.5.Bூ"᪆௃ᵫ⚪}{0,2}A4eA,ᔠᦪᓽ3!paḄ$.ூt"௃ᵫ⚪}AAB={0,2},1!{0,2}uA,ᦑa>2,4A,ᑣᡠ2

8ூ"᪆௃"|ᔠA,ᯠᵫ⊡|ஹ|¡!".ூt"௃ᵫ⚪}A={x|¢2-2x-15>oj={%|¢<-3ᡈ¢>5},/.^A={x|-3

9ᡠ2019·Ḅ¸¹ºᦈᐭP12750+15%=850002ÆÇ¿ᵨᓰºᦈᐭ25%ᡠÆÇ¿ᵨ^85000x25%=21250ᦑ⌱^AூDx௃⚪⌕ὃÉTeḄᢚË\ᩩ\Ḅ´ᵨÌὃ;Í"ÍḄVWXFẠ⚪.9.Bூ"᪆௃ᵫ⚪}✌ᐜÐÑᦪḄÒÓᯠᔠ⚪}ÑᦪᙠÔ(-8,0),(0,1),(1,┛)×=0,%=1ᜐÑᦪḄᱯÚᓽ3Ñᦪ\Û.ூt"௃•••Ñᦪ/(X)ᙠÜÝ3ÐᐸÐÑᦪPÞ(X),Ñᦪ/(X)ᙠx=lᜐp᩽ᜧ$.•á¢>1âr(x)o.;.x<0â>=+ã'(¢)>0,0lâ-ᦑ⌱^BூDx௃᪷¶Ñᦪp᩽ᜧ$ᑨæÐÑᦪᙠ᩽$D▬èéêPëêPìᵫìíîïð\Û3Vᡂ<Ḅ⌱⚗(ᑨæ\Û%⚪óaªᨵ+Yô.10.Cூ"᪆௃ᓄöpᑮz=-3-4i,pᑮrᫀ.ூt"௃/ஹl-7z(l-7z)(l-z)-6-Si(l+z)z=l-7z,ᦑ2=-^~~r=y-~6~Y=-n—=+3-4/,³´DᙠB▲.ஹ'1+z(l+z)(l-z)2ᦑ⌱^C.ூDx௃⚪ὃ¬ᦪḄᓄö³´▲}ᙠὃ~ḄTUVW.11.A

10ூ*᪆௃y2=8xᑭᵨᔆḄᙶ᪗.:2,0;,,-/ḄYo.x-p-2=0,ᯠὶ1Yo'%',ᨬᑭᵨrstᳮ*ᓽmy=x-2ூv*௃w⚪yz{Ḅᙶ᪗.:2,0;.,-/ḄYo.x-p—2=0,zA,3Ḅᙶ᪗ᑖ}.:᳝,y
,9/2;W=0%=஽=2a஺0wa',2%:8஻+4;%+4=0,ᡠ)=4,ᡠ)my=x-2|AC|-|BZ;|=:|AF|-2;-:|BF|-2;=:X+2-2;-:X+2-2;=X^=4.JJI21ூz௃⚪ὃ,-ᱥ-Ḅ⚪*⚪᪶ᙠὶ1,-ᱥ-ḄYoẠ⚪12.Dூ*᪆௃ᵨᦈᐭ¡¢ᨴᦈ¤ᯠ¥⌱⚗⌲%ᑖ᪆ᵫªᑨ¬¡®┯°Ḅ⌱⚗.ூv*௃ᵨᦈᐭ¡¢ᨴᦈ¤:±ᐗ;᝞3⊤ᡠ5Wᨴ´123456789101112ᦈ¤203020103030604030305030ᡠ)7ᨴᦈ¤ᨬµA⌱⚗®¶·a4ᨴᦈ¤ᨬ¸B⌱⚗®¶·a1-6ᨴ¹ᦈ¤140±ᐗ7-12ᨴ¹ᦈ¤240±ᐗᡠ)º6»ᨴᦈ¤¸¼»ᨴᦈ¤C⌱⚗®¶·6»ᨴᦈ¤½º6»ᨴᦈ¤¾¿240-140=100±ᐗᡠ)D⌱⚗®┯°.ᦑ⌱D.ூz௃⚪Á⌕ὃ4⊤ᑖ᪆ὃᦈ¤ḄÃY®Ạ⚪.ÄஹÅÆ⚪W⚪ᐳ4⚪¢⚪5ᑖᐳ20ᑖ஺13.72ூ*᪆௃᪷wÉÊ-ᑮ஻=ᖾc=RÃᑮÍ᳛.ூv*௃

11--4=10>O)»+ᩩùèËaúP^y=^x,ᦑb=®
c=ûe=-=—.42a2ᦑrᫀP^⌭.2ூDx௃⚪ὃýþËḄùèËÿ᳛ᙠὃḄ.14.[-1,1)ூ
᪆௃X<1⌕5ᦪ)ᨵ◤9:l-+x3>0-1஺'ᓽ1WX<1,ᦑᦪ/(x)Ḅ[T,D.-14x44V19-V71R1b.--------2ூ
᪆௃1Ḅᨬ!"ᓄ$!A8$%&Ḅᙊᑮ)஺Ḅᨬ+,ᵫ.ᓽᑮ0⚪2ᫀ.ூ
௃᝞>ᡠ@oA=a,o6=B,=*,ᵫ⚪N40B=3,|஺B|=2,10ᵨ=3,8=1—3஺E=FGH6=2x3xcos60°=3,I3-$-$=0,ᡠ!LLᑣ)Cᙠ!48$%&ḄᙊNOA8ḄP)$M,ᑣ஺Q=!(஺4+஺ᵪ2U!AB$%&ḄᙊVWX0MḄY)$E,Z[|\1Ḅᨬ|0E\,]$|^|=«l-(OA+dB)2=-^loA+2OAOB+OB2=-x74+2x3+9=—,V4222IA3=VOA2+OB2-20A-OB-cos60,=^4+9-2x2x3x1_'

12ᡠ!I*Ḅᨬ|`aOM—ME=OM—LAB=M—0.22ᦑ2ᫀ$b()2ூ)d௃0⚪f⌕ὃᔣhḄiᔠkᵨl⚪mnᑮᙊḄoᐵqrVstᳮὃḄᑖ᪆l⚪xyl⚪Ḅz{|ᦪ}~ᔠḄᦪ.16.2025ூ
᪆௃ᑭᵨ~ᔠPᔜ⚗ᦪxᑡᵫ.஻Ḅ.ᑭᵨ_⚗Ḅ⚗PxḄᦪ.ூ
௃⚪x=l,2"=32,ᡠ!஻=5,ᑣ_⚗12—ḄḄ⚗$b(T=C[J'[~3X)=55(3)஺஺1X22ᔆ5=1,ᔆ=4,ᡠ!xḄᦪ$5"4X(—3)4XC=2025.2ᦑ2ᫀ$b2025ூ)d௃0⚪f⌕ὃ_⚗ᔜ⚗ᦪxὃ_⚗ᢣ⚗ᦪḄ¡¢£Ạ⚪.¥ஹ2⚪bᐳ70ᑖ஺2kᑏ©ᦻ«¬ஹ®¯ᡈ±²³஺-117.´µᱯ·$1,¸kḄµᱯ·ᔣha=τ—1ூ
᪆௃᪷ºᱯ·»⚗Ḅµ¼)$3,஺=1,½¾ᑮ/(4=0ᓽ©´µᱯ·$-1,ᨬ¿ᑭᵨᱯ·ᔣhḄÀ²³©ᐸ¸kḄµᱯ·ᔣh.ூ
௃Â▣MḄᱯ·»⚗$b/\X—1—2/ஹ/ஹ“)=[=(2-1)(2-«)-4,9—z4—a

13.4=3/Ç2;=0Ḅµ᪷/ஹ/\É12]_Ç3-1;:3-஺Ê-4=0,4=1,ᓽË=2j/:4=0ᓽ:41;:41;4=0,—3=0,´µᱯ·$b4=-1,.ÉXU4=-1¸kḄµᱯ·ᔣh$ba=_y_[-2x-2y=Qᑣᵫ4a=/a,Ì-cx=-y-2x-2y=0x=l,ᑣy=-1,ᡠ!Â▣M´µᱯ·$-1,¸kḄµᱯ·ᔣha=-1ூ)d௃0⚪ὃ|Â▣Ḅᱯ·!nᱯ·ᔣh◤ÎÏᱯ·»⚗Ḅ}¡¢£Ạ⚪.18.পÑ=2஻-1,2=3":2;S“=3".ூ
᪆௃:1;ᵫq=1,Òd>0,ᨵ11+1+4஺ᡂÔÕᦪᑡᡠ!:l+d;2=lx:l+4d;,1=2.Öשᦪᑡà4á,àdáḄ⚗:2;Ø"=1Ùᵫ?=஺2,ᡠ!C1=3,Ø”..2Ùᵫ?+F■+?■+…+Ý=a”+i,++++a'i»-45b&bbஹbA%2n2C“=2-3"T,ÖשÞ஻⚗xS”.ூß௃b:1;ᵫ⚪qq=l,Òd>0,ᨵ1,1+d,1+4஻ᡂÔÕᦪᑡᡠ!:l+d;2=lx:l+4d;,d=2.ᡠ!ᦪᑡà4áḄ⚗/=2஻-1.ᦪᑡÌàḄÕ4=3,ᐸ⚗b=3"T.n

14ফ஻=1ᵫ£=ᡠ)q=3.å2,ᵫᜧᜧç…+/%é+2+&+…+᝞=஺9:4%ê?=஺,ᵨ%4,aᡠ)C,=2-3"T.3,72=1ᦑì2-3"-',n>2ᡠ)à%áḄº஻⚗íS“=3+2X3+2X32+2X33+-+2X3"T3x(l-3n-1)=3+2q-------L=3",n>2.1-3î஻=13=4=3ஹïðᔠòᦑS,,=3".ூz௃⚪Á⌕ὃóᦪᑡí½ᦪᑡḄᭆ÷ø⚗ùº஻⚗íùḄúᵨẠûüaὃ*ýçYoþÿᑖᵨ᫏⚪.19.(1)[(2)cosC-^2.122J14ூ᪆௃প/(x)=sin(2x+?j+cos2x+sinxcosx,ᑭᵨឤᣚᓄ"#஻%)=2sin(2x+^)+(,)᪷+,-.ᦪḄឋ23(2)᪷+4sin[A+?)=l,5A"AABCḄᑁ4ᑮA=஺)᪷+cos(A+C)=-ᑭᵨ9:;<Ḅ=->?3ூ@௃(1)/(%)=sin2%+—cos2x++COSsin2x>22221=>/3sin2x+cos2x+—=2sin|2x+—+2(662,

15*.*lx|=|sin'+Jl,jrIA$3cḄᑁçᡠ!A=,35AI]$ᙠAABCPcos(A+C)=--ᡠ!sin(A+C)=஻14ᡠ!cosC—cosA+C=—cos(4+C)H----sin(4+C)=------.I3J2214ூ)d௃0⚪f⌕ὃ¥çឤÔêᣚx¥çᦪḄឋíîὃ|ïḄ¡¢P᫏⚪20.(1)ñ᪆(2)ò.9ூ᪆௃(1)⌕®ó◤®BE1ô☢PACᓽ(2)!C$ö)ᑖ÷!জ×ùḄᔣ$xúஹúஹ_úḄûᔣüýþÿ
ᙶ᪗ᑭᵨᔣCQS,ᐸᨬᜧBM=187⚪ᑮ.ூ௃(1)!"ACஹAE,ᵫ%&'()A5CE*+,)ᑣAC_L6Eজ/*PC_L0☢ABCD,ᑣPCBEঝᵫজঝ&B£13☢R4Cᡠ5(2)5C*6789᝞;ᡠ<Ḅ>?
ᙶ᪗

16ᑣA(1,1,O),5(0,1,0),஺(2,0,0),P(O,O,0),ᡠRS=(B1,0,0),BP=(0,-l,V2),DP=(-2,0,72),Z[=2ᡠ,-----------AMDP(O=TAM\\DP\2+2%\/<64+1ஹ[c/_ric௃2+1_tmilr=---~j=-..------]9Z4+l=/w[l,2],\(JI=;/ஹJl+3%231+3sVl+32-gᔆ-6r+41Bvw=L2—3^ߟ3»ᡠR}2=1ᓽ=&cos<[?;஺ᡝுᨬᜧV/—7+3V7-2r+4,23<[ுᨬᓽAM;0PᡠᡂḄᨬ/l=f-l=g,——1—ᑣ"8CLCD,BC.LCP,ᑣ3CL☢POC,Mᑮ☢POCḄ஻='°=ᡠR8M=KjcL(x(x2xx#=.ூ¡¢௃£⚪ὃ¥☢ᚖ§ᚖஹ¨☢ᡠᡂ©ªஹᣚᐗ¬3.ᦪᨬR®¬3¯┵Ḅ®ὃ¥Ḅᑁ±²³©ª´²ᜧµ¶⚪ᨬᐵ¸¹º»ᑏ½¡Ḅᙶ᪗¹B⍝᫏⚪.21.(I)@Â᪆((II)45°.ூ᪆௃(I)ᵫ=-Äᳮ4AC,ᓽÆ4ᑮACL8C,ᵫ☢☢ᚖḄឋ2Æ4AC,☢8CDE,ᓽÆ4ᑮAC_LB£,4§((EDᙠ☢8COEÊ¡EË¡஺ᑣ0EL☢ABC,᝞ÍᡠÎÏÐÑÒᙶ᪗ÓZA(-a,6,0),E(0,0,஺)ᐸ0<஺<1]>0,ᑭᵨÑÒᔣ´¬4ᑮw☢Ḅ=-ᓽÆ4ᑮ஺ØḄᐵÓ4(ூ@௃

17#(I)§Ù#ᙠAA6CAC2=BC2+AB2-2BC-cosZABC4AC=6,ᑣAC2+BC2=AB2AC±BC"☢8CDE☢ABC,☢BCDEc☢A3C=3CᡠRAC,☢BCDE,5"BEu☢BCDE,ᡠRACLBE,>?BEEC,ACOCE=C,ACu☢ACE,C£u☢ACE,ᡠRBE1☢ACE((D)#ᙠ☢3CDEÊ¡EËEOL3c¡஺ᑣQEL☢ABC,᝞ÍᡠÎÏÐÑÒᙶ᪗ÓZA(—a,6,0),E(0,0/),ᐸ00,\ij5(l-a,0,0),SA=(-l,^,0),B£=(a-l,0,Z?)Z☢MEḄ¬ᔣ´"Ú=(x,y,z),ᑣBA-m=0-x+^3y—0BᓽBEm=0(a-l)x+bz=0'/Ûy=l,ᑣÜ=6,1,5☢ABCḄBݬᔣ´᝞=(0,0,b),ᑣm-OE8=1-஺ᦑNEBO=45°=/ECBᑣCE;☢ABCᡠᡂḄ"NEC8,ᜧ"45°.ூ¡¢௃£⚪ὃ¥☢ᚖḄᑨÄ☢☢ᚖḄឋ2ÄᳮḄᵨᑭᵨÑÒᔣ´¬µÐßà¶⚪᫏⚪.22.(1)a“="(஻eN+)(2)(-co,2)ூ᪆௃(I)⚗:ᣚÆ4æᵨ=("+1)%,ç4ᑮ%=4æ=-=è=1,Æ4;nn-\!

18(2)éᐭÆ4a=3"-Øëᵫᦪᑡ
2"⌴îᦪᑡÆ4.E="F,ƧÙï%ð"⌴îᦪñU,2஻+12஻+1ᓽᓽ4ூ@௃(1),.•2S.=(஻+1)%,•e•2S”+i=(஻+2)a%,+1,w2ò=("+2)%—(஻+1)%,ᓽ஻a“+i=(஻+1)a“w=%,஻+lna“=%==q1,nn-11Aa„=஻(஻eN+).(2)2=3"—Øë.b-b=3n+1-/l(n+1)2-(3M-2n2)=2-3"-X(2n+l).n+ln•••ᦪᑡôð"⌴îᦪᑡ,.•.2.3,,-2(2/1+1)>0ᓽ,2-3"Ûq,2/1+1c,.2.3n+12n+l6஻+3,ᓽnnõ1±+L=------------------=--------->1.c2஻+32-3"2n+3•••ï%ð"⌴îᦪᑡ=2,ᓽ2Ḅø"(-8,2).ூ¡¢௃£⚪ὃ¥`ᦪᑡùᔠ¶⚪ὃ¥`⚗:ᣚᦪᑡḄᓫüឋᨬý¡ὃ¥`þÿᔠᑖ᪆ᓄᑜᦪḄ⚪.