线性代数习题集(带答案)

线性代数习题集(带答案)

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时间:2023-07-14

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22Ö×ØᔣÙὃÛᫀ5ஹᓫ⚗⌱àl.b2.d3.a4.b5.b6.d7.d8.a9.blO.cll.c12.d13.a1415.aãஹäå⚪1.52.1ᐵ3.arO4.1ᐵ5.ᐵ6.ឋᐵ7.-18.ᐵ9.110.<11.ឋᐵ12.013.x=±l,y=±—14.3éᑖᡂëì×ஹíÛ⚪1.íº=-î+xa+xa2233(1+¨)X]+X2+=0ᑣ3é¢ï<+(1+/l)x+x=223X]+%2+(1+ð)3=ñ51+/11Iᐸᦪ¾ᑡ\|A|=11+21=22(2+3)111+2(1)ó3²ôwO,¢ïᨵ]5íᡠ᜛Lᵫ,a2a3]5ᙢឋ⊤Pq110'‘1110ஹ(2)ó4=0²¢ïḄ÷ø▣1110()000J110Jஹ0000,r(A)=r(A)=1<3,¢ïᨵùúí,ᡠ᜛Lᵫ%,%,ឋ⊤P¶⊤P\6]5(3)óa=-3²¢ïḄ÷ø▣-2110)(1-21-3ஹ1-21-3^-0-33-12,r(A)r(A),¢ïí,,11-29)(000-18,

23ᡠ᜛6³ᵫ4ឋ⊤P஺2.í:%,%,4,&Xᑡ᪀⌼ÿ▣ஹ1111r11101121o1121a+1001023a+24b+3~T~l-a2ஹ351a+857000b4(1)஺=±1ᓃ#00/?⊤,%,%24Ḅ#ឋ%ᔠ;(2)a#±1()*+᜛-.ᙢ⊤a”%1,஺4Ḅ#ឋ%ᔠ஺(1213ஹ0-102ஹ-12-10010132—>055-270001ஹ4620-ஹ00000J.7᩽ᜧ:ᐵ%஺3=-%+4+஺஺4a5~+a-a241114.2>|a,a,0^1=123=t—5,1213tf=5+#ឋAᐵfH5+%,02஺3#ឋ:ᐵ஺5.2>ᐜDEᓄ:HI=%=(1,2,0)7A=H■|AA]%B\.o_%_o_fj_A[ANOPQ2ே6SᓫUᓄ:

24T%%%᪗WDEᔣY%஺IஹZ[⚪1.Z>•••3^_+`a.4^2I._,a=0;.<5஺\+3I+4b=0#ឋAᐵ2.Z>cd(/+&2)+f2(02+%)^-1■%"(4+«,)=0ᑣ&+3)%+(ᓃ+%2)஺2+…+k")a,=0a,a,...,a“#ឋ:ᐵi2ᓰ+%“=°.k+k=0}2k-i+k,=0100…01110…00011…002஻᜻ᦪᐸpᦪrᑡt=1+(-1uZZ<0,?@Ꮤᦪ000…10000…11xn᜻ᦪ+%,22,...᝕“{|a,a,...,a“#ឋ:ᐵ;t2nᏔᦪ+~……NPᐰ|a,,a,……#ឋAᐵ஺2

253.Z>...,4,/7#ឋAᐵ.••ᙠᐰ|Ḅᦪᓃ,&,……,k,ks%ᡝ1+%2a+...+ka+k/3=0ssk=0,ᑣ:+f2a2+...+&q=0(ᓰ&,...ᐰ|),,...,a#ឋ:ᐵᡠPA#04=~~a\~~Ta2...~~ta'kkk.ᵫ%,……,4#ឋ⊤஺C/3=kஹ%+f2a2+....+জ/3—lyCXf+12(X2+...+ஹ,%(2)ᑣজ-ঝSa,+(k-l)a+……+(&_/,)4=0222L...b#ឋ:ᐵ.•.A>T=0,(j=l,2O.,s),(z-1,2,…,s)ᓽ⊤-.4.Z>Ꮇcᵫ#ឋ⊤a,a,a#ឋ:ᐵ%%#ឋ:ᐵ234,:a”Ḅ,%#ឋAᐵ%Nᵫ4,#ឋ⊤/•ᵫ஺2஺3#ឋ⊤%,%,%#ឋAᐵ

26/•04ᵫ%,4Ḅ#ឋ⊤஺5.Z>⌕ឋcᔣY%,஺2,••…b#ឋAᐵᑣᙠᐰ|Ḅᦪd,ᔁ……¡ᓰ4+&%+……+&&=0¢cfH0,ᑣq=—4—&஺2-……-—kkkssxᓽ¤¥ᨵ.7ᔣYᐸ§ᔣYḄ#ឋ%ᔠ஺ᐙᑖឋcᔣY%,,……,4ª¤¥ᨵ.7ᔣYᐸ§ᔣYḄ#ឋ%ᔠ¢cq=ᓃ/+f2%+...+k2asᑣᓃ/+ka+...+{,_14_]-a-0,22sᡠP,%,,a#ឋAᐵ஺x6.Z>ᵨᦪ®¯°s=l+±0,#ឋ:ᐵs=2+•..a2ᵫ%#ឋ⊤.,.ai/#ឋ:ᐵc$=11+4,%,,%_1#ឋ:ᐵᑣs=i+Ꮇc%,,,%#ឋAᐵa,a,#ឋ:ᐵ?Nt2ᵫa”%,%_]#ឋ⊤ᡠP´,,..,#ឋ:ᐵ஺Z7.Z>µᔣY%I,4,%ªᨵ.¶ᑖ%#ឋAᐵ¢c,%%^r

27f1%+ka+...+ka+Oa4------¹Oa=022rrr+1sºᓃ,»,...&¼0,--0ᐰ|ᡠP´,½,..&#ឋAᐵ஺8.Z>cf0஺0+ᓃ^஺0+/a+ᦇ2*=0+஺2+_|-------I&K4+%a=0ᑣ^-0+ᓰ+&2T-------.kja஺+f¿+k2a2+…+ka=0ssºa*+&2•,,,a’#ឋ:ᐵkq+£+A2+…+&s=0k]=0ᡠP&=02k஺=k=k=...=&.=^ax2kஹ=஺ᡠPᔣY%#ឋ:ᐵ஺

28ÀIÁ#ឋÂÃ%ஹᓫ⚗⌱⚪1.c஻ᐗÅÆ#ឋÂÃ%AX=OḄpᦪÇ▣ḄÈr,ᑣAX=OᨵÉ|2Ḅᐙᑖ⌕ᩩË()(A)r=n(B)rn(D)r>n2.cAÌx஻Ç▣ᑣ#ឋÂÃ%AX=8ᨵ:Î2Ḅᐙ⌕ᩩË()(A)r(A)

29(C)f¿+2â+4)+ã(D)k,%+h(/3/3D+9*8.cAmx஻Ç▣ᑣæᑡçèDéḄ()(A)µAX=Oìᨵ|2ᑣ4%=¡ᨵ-.2(B)µAX=OᨵÉ|2ᑣAX=/?ᨵ:ÎÑ2(C)µAX=6ᨵ:ÎÑ2ᑣAX=Oìᨵ|2(D)µAX=¡ᨵ:ÎÑ2ᑣ4V=0ᨵÉ|29.cAïX”Ç▣ÅÆ#ឋÂÃ%AX=0ìᨵ|2Ḅᐙ⌕ᩩË()(A)AḄᑡᔣY#ឋ:ᐵ(B)AḄᑡᔣY#ឋAᐵ(C)AḄrᔣY#ឋ:ᐵ(D)AḄrᔣY#ឋAᐵX1+x+x=12310.#ឋÂÃ%■ð+2/+3ñ=0()4x,+7X+10x=123(A):2(B)ᨵ-.2(C)ᨵ:ÎÑ2(D)ᐸÏ1%{ᨵ|2ஹ⚪1.cA100▤Ç▣ó)*100ôḄÉ|ᑡᔣYX,ᙳᨵAXHO,ᑣAḄÈ—.kxஹ+2X+x=0232.#ឋÂÃ%2%+3=0ìᨵ|2Ḅᐙᑖ⌕ᩩË—.%1-x+x=0233.c*,X2X,÷CH1+C2X2++qX,ᙳÉÅÆ#ឋÂÃ%AX=/7Ḅ2(C|,c,Þᦪ)ᑣq+c*2++c=.2s4.µ#ឋÂÃ%ḄÏ1%BX=O("B)=r>ᨵAÛḄÜẠ2pᑣ"A)=—.5.µ#ឋÂÃ%A“*“X=bḄpᦪÇ▣ḄÈAᑣᐸûüÇ▣ḄÈ—.6.c10x15Ç▣ḄÈ8,ᑣAX=0Ḅ2ᔣY%ḄÈ.

307.᝞þ஻▤Â▣AḄᔜᐗᙳ0,)24ᑣឋ4X=()Ḅ.8.஻ᐗ!"ឋAX=Oᨵ஻&ឋ'ᐵḄᔣ*ᑣ+=’129./A=23!"ឋAX=02ᨵ3,i1a4Ua=’121ஹ10./A=23a+2,b=3,x=xឋAX=ᓃ'ᑣ2a-2,11.஻▤▣A,<=AX=0,>&“@ᔣ*ABᑣ44)=—.12./5x4E▣AḄF3,%,H,BI!"ឋ"=+ḄK&LMḄᔣ*N+%+2%=(2,0,0,0P,3/+%=(2,4,6,8PᑣSTḄ—.13./A஻2X/E▣r(A)-r

31ᐗ1+%=03./gᐗ!"ឋkImnx-x=0241mokImḄ&ZẠ\2m᝞q4k0,1,1,0P+6k-1,2,2,Br!"ឋkIImḄ]kImkIImBᔲᨵI3ḄsᐳaᨵoTᐸᐰwI3sᐳx'yzᳮᵫ஺4.]a~ᑡ'aᨵaᨵ'aᙠᨵoTᐰwkᵨZẠ\⊤ᐰwm஺%+ax+x-ax,+x+bx=42323ax,+x+=12)<_+bx+ᑍ3="2222X+ᑍ2+=a᳝-%+2%3=-45.o&I!"ឋḄᐰw4-1332-2136./4=o4x2&E▣B,45=0,*8)=2஺9-528

32/ὃ1ᫀஹᓫ⚗⌱⚪1.B2.D3.C4.B5.A6.C7.B8.D9.A10.Cஹ⚪1.1002.᝕2kN33.14.r5.m6.77.1,1,,1/kᦪm8.09.஺1ᡈ310.«=-111.012.,0,0,07'+&0,2,3,47',&ᦪ13.'n-rK'⚪1.B2.Lh3.1v,=0,0,1,0P,=-1,1,0,lr2Z—l,1,1,17■kᐸ¡I3¢ᦪm4.1£஺=2'x£஺2஺1ᨵn2+72+Q2+Q£a=1ᨵ'¤n-l,l,0/+c-l,0,1/+1,0,0Pᐸ¡q,c2¢ᦪmC22m£b=-l'x£g-1ᓃ4ᨵnkᜐ¦2ᓃ-§mT;£8=4ᨵ'¤nc-3,-l,lr+0,4,0/kᐸ¡c,¢ᦪm5•9᳝+5X—3©——590ஹ601'11/21/2ª5/21/2,

33«¬ᱯ¯°ᱯ¯ᔣ*ஹᓫ⚗⌱⚪01ஹ1./4=010ᑣAḄᱯ¯B()=00,(a)-1,1,1(b)0,1,1(c)-1,1,2(d)1,1,210ஹ2./A=101,ᑣAḄᱯ¯B()஺1L(a)0,1,1(b)1,1,2(c)-1,1,2(d)-1,1,13./A஻▤▣42=/,ᑣ()஺(a)|A|=1(b)AḄᱯ¯᪷AB1(c)r(A)=n(d)A²B<³▣4.<ᵯᑖ¶B▣AḄ·&LMḄᱯ¯<¸Ḅᱯ¯ᔣ*ᑣᑁºBAḄᱯ¯ᔣ*Ḅᐙᑖᩩ½B()஺(a)¾=0&=0(b)ᓃÀ0=#0(c)Â=0(d)40&=05.஻▤▣A3Ḅᱯ¯ÃMᑣ()஺(a)A=B(b)|(c)A°BÃÄ(d)A°BᔠM6./A”▤Ç⌮E▣XBAḄᱯ¯ᑣA*Ḅᱯ¯᪷B()஺(a)r'lAp(b)Q|A|(C)A\A\(d)A\A

347./2BI᜻Ê▣AḄ&ᱯ¯,ᑣgA2)-'ËÌᨵ&ᱯ¯Í=()஺(a)4/3(b)3/4(c)1/2(d)1/48./஻▤▣AḄ>ᐗᙳa(axO),ᑣ2AT+Eᨵᱯ¯

35)o2(a)a(b)2a(c)2a+l(d)—+1a9.E▣AḄÒ=LMᱯ¯Ḅᱯ¯ᔣ*()0(a)ឋÃᐵ(b)ឋ'ᐵ(c)··ÃÓ(d)ᐸÔBᱯ¯ᔣ*10.|A|=|B|B஻▤E▣A°BÃÄḄ()஺(a)ᐙ⌕ᩩ½(b)ᐙᑖ×IØ⌕ᩩ½(c)Ø⌕×Iᐙᑖᩩ½(d)ÙLᐙᑖºLØ⌕ᩩ½11.஻▤▣Aᨵ஻&LMḄᱯ¯᪷BA°<Ú▣ÃÄḄ()஺(a)ᐙ⌕ᩩ½(b)ᐙᑖ×IØ⌕ᩩ½(c)Ø⌕×Iᐙᑖᩩ½(d)ÙLᐙᑖºLØ⌕ᩩ½’1a1ஹ(o00ஹ12./E▣A=a1BQB=010ÃÄᑣa,£Ḅᑖ¶()஺Jp02,(a)0,0(b)0,1(c)1,0(d)1,113./A,8ÃÄḄ஻▤▣ᑣ()஺(a)ÝᙠI᜻Ê▣PP-'AP=B(b)Ýᙠ<Ú▣஺A°8AÃÄ=D(c)ÝᙠI᜻Ê▣P,P'AP=B(d)A°8ᨵÃMḄᱯ¯ᔣ*14.஻▤▣A°r<Ú▣ÃÄ,ᑣ()o(a)r(A)-n(b)Aᨵ஻&LMḄᱯ¯(c)Aᨵ஻&ឋ'ᐵḄᱯ¯ᔣ*(d)AØ<³▣15.AÃÄ=8,ᑣ()஺(a)AI-A=AI-B(b)|A/-AHAZ-BI(c)Aß8°M<Ú▣ÃÄ(d)A8ᨵÃMḄâãE▣

36’100ஹ16./A=010ᑣ°AÃÄḄE▣B()oஹ002,310ஹ'100ஹ'101ஹ’200ஹ(a)010(b)020(c)020(d)011ஹ002,ஹ001,ஹ0obஹ002,17.ᑡyäLåḄB)(a)æᱯ¯ᔣ*BI3ᔣ*ᡠèᡠ<¸Ḅᱯ¯ᔣ*I3(b)Ò=&ᱯ¯Ḅᔣ*ºé2ᨵ&(c)&ᱯ¯ᔣ*2hÒ=&ᱯ¯(d)ᱯ¯3ḄE▣êØB3E▣18.AB,ᑣᑡëì┯îḄB()(a)AE-A=AE-BযM=ð(c)ÝᙠÇ⌮E▣P,=B(d)trA=trBஹ⚪1.n▤3E▣Ḅᐰwᱯ¯஺2./An▤▣ñ=/,ᑣAḄᐰwᱯ¯o3./An▤▣A"=0(mBòᯠᦪ)ᑣAḄᱯ¯4.A2=A,ᑣAḄᐰwᱯ¯o5.▣A°4/ÃÄᑣ4=»6.n▤E▣Aᨵn&ø=ᱯ¯2Ḅឋ'ᐵḄᱯ¯ᔣ*,ᑣA=7./K▤E▣AḄᱯ¯ᑖ¶-1,0,2,ᑣᑡô|A2+A+/|=஺8./õ▤E▣Aö÷1-34+2£=0,ᑣAḄᱯ¯஺

379.ᱯ¯ᐰ1ḄøÓ▣ØB▣஺10.g▤E▣A°BÃÄAḄᱯ¯LLLLᑣgúû234511<223n(12ஹ11.+==B,4ü=__________,y=_______஺(yxþ34J"'#$⚪1.஻▤▣AḄ>ᐗAÍ=aeoAḄ&ᱯ¯ß`ᱯ¯<¸Ḅ&ᱯ¯ᔣ*.2.oI᜻ÊE▣P,p-MP▣.3.▤▣AḄᱯ᪷1,1,2,ᐸḄᱯᔣ(O,O,l)r,(-1,1,0/,(-2,1,1/,()▣A.'2-12ஹ’1ஹ4..A=5a31ᨵ3ᱯᔣ&=1,(஺6Ḅ718(9ஹTh-2JஹT,

388..▤)▣AḄᱯ7T,2,5,)▣3=3A-((1)BḄᱯ7U(2)BVᔲᓄ,]Vᓄ(9^B_Ḅ▣;(3)(ើ,|A—3\.-19.)▣A24-2B_,-3-35,প(yU(2)(3HIḄV⌮▣P஺’5-32ஹ10..A=6-44,(A00.ஹ4-45,ஹ⚪1..Ade᜻g▣14d4Ḅh3ᱯ᪷1(i;dATḄ3ᱯ᪷18jAAᐵ<2ḄᱯᔣkdA-Iᐵ

39*6+ὃᫀஹᓫ⚗⌱⚪l.a2.c3.c4.d5.b6.b7.b8.d9.blO.c11.b12.a13.a14.c15.b16.b17.a18.aஹ⚪1.02.1,-13.04.0,15.416.Al7.78.1,29.ᓫ10.2411.-17,-12"ஹ#$⚪1”(1,1,1-3ஹ(2)-211,122,'0-20ஹ3.130U21,4.a=3,b=0,2=—15.s=9,t=-2,A=-66.x+y=072x/2.(a+b0ஹ7.P="71TAP=11I0a-b,ஹV2)J4ஹ8.(l)-4,2,-10(2)2,(3)8ஹ-10>-1119.(1)y=6,(2)ᱯ72,2,6Up=10-2,013

40<3100+2(2100_1)2-210^—310031ஹ10.2(2'00+3100)-442,00-23,002(3k1u2(3,00-1)2(1-j00)23°°—17.it⚪ᶍ

41ஹᓫ⚗⌱⚪1.஻▤)▣AOḄᐙᑖ⌕ᩩKd()஺(«)|A|>03)£ᙠ▤▣C,4=஺7஺(c)¦§ឋᢣᦪª3)ᔜ▤¬®¯°O2..An▤▣1ᑣ²ᑡ´µO¶Ḅd()o(a)A^3▣ᔠw3)]AḄᡠᨵ¬®¯°O1ᑣAO(c)]A^O▣Bᔠw1ᑣAO(d)]A^3▣_1ᑣA^3▣ᔠw3..AO)▣1ᑣ²ᑡ´µO¶Ḅd()஺(a)AV⌮3)ATO(c)AḄᡠᨵᐗºO(”)hÀX=(%1w1,ᜩ)r0,ᙳᨵÂ7%>04.▣AOḄᐙ⌕ᩩKd()o(a)AḄᔜ▤¬®¯°OU(b)A"dO▣U(c)AḄᡠᨵᱯ7ᙳᜧ<ªU(d)AArdO▣஺5.²ᑡ/(x,y,z)Ḅd()஺(a)ax2+by2+cz23)ax+by1+cz(c)axy+hyz+cxz+dxyz(d)ax2+bxy+czx26..AஹBn▤▣1X=a1w11ÃjÄÅÂ6ÂᑣA=BḄᐙ⌕ᩩKd()஺(a)r(4)=r(B)S)A1=A(c)BT=B(d)AT=A,Br=B,7.O/(%,Æ,᳝,ᓃ)Ḅ)▣A,ᑣ()ᡂÊ.(a)AḄᡠᨵ¬®¯°e¦ᦪ(b)AḄᡠᨵᱯ7e¦ᦪ

42(c)AḄᡠᨵ¬®¯°ᜧ<ª3)AḄᡠᨵᱯ7Ëw8..A,Bn▤)▣1](),ᑣA^Bᔠw.(«).£ᙠn▤V⌮)▣P,QjPAQ=8S)£ᙠn▤V⌮)▣1S.P-'AP=B(c)£ᙠn▤OP)▣஺1j0"AQ=B(d)£ᙠn▤▣C,T,jCAT=89.²ᑡ)▣R1d)▣Ḅ()’000ஹ(\00ஹ(஺).000(/?)0-10ஹ00-1,ஹ002,'30-2ஹ'123ஹ(c)046(d)456-2651J89,10.²ᑡ)▣RdO)▣Ḅ()'100'’111'(c)02-3(")120ஹ0-35,J02,11.Ad3▤ÌjOḄ)▣1ÍÎAḄᱯ7Vqd(){a)3,i,-1;3)2,-1,3;(c)2,i,4;(d)l,3,4ஹ⚪1./(Ï,Ðᜩ,)=%9+2ÑÑ+oḄÒ<2.f(x,x)=xfx+6X1X3+3xUḄ)▣l22

43’104'3..A=220,ᑣ/=XTAXḄ)▣஺ஹ003,4.]/%,%21&=2xU+ὃ+Ô+2Õ%+%ÖO1ᑣtḄØ7Údo5..An▤¦)▣1ᑣhÛÂ=Ü,9,,x.r0ᙳᨵXTA?o6.hÛ3Ḅ)▣Ýq^3▣o"110ஹ7..A=1a0dO)▣1ᑣ஺HIᩩK஺ஹ00"8..Ì/Þ,Ï,Ñ=ᱏ+2᳝à+2áᑣâ஺ḄØ7ã1/%,,Ð&dOḄ஺9./äå2=ÜÆḄ¦§ឋᢣᦪd10.æÆ13ç*ேḄ)▣_____஺V2ê"ஹ#$⚪1.(3e⌨ᓄḄCឋìᣚ1î²ᑡᓄ᪗ð஺1/5,å21Ö+2%w+2%&+2xU+4/Ï+ᵯ2)’211)ò11ஹ2..4=101,B=121,(e᜻g)▣C,4=஺,3஺஺j1oJU1°,3.ᵨõöᓄ/Ï,%21Ö=%9+xx,᪗ð÷18ᑏ9ḄHÒCឋìᣚ4.(e᜻g)▣P,P-ZP▣.

44'11-2(1OAA=-1-3112)ஹ320-Jஹ⚪1./(ᓰ,E21û3)=/AvᙠOPìᣚx=Qy²Ḅ᪗ð÷yU+£ÿQḄ3ᑡ஺).(I)▣A(II)A+E▣ᐸE3▤ᓫ▣.2.!AஹB$▤▣A,஻ு0,;U+஻B+,▣஺3.!A,B,$▤▣-A+B+,▣஺

45*7+ὃᫀ'ᓫ⚗⌱⚪1.(d)2.(c)3.(c)4.(/?)5.(a)6.(d)7.(c)8.(c)9.(d)10.(c)11.(d)ஹ⚪/ஹ(110ஹ(\3ஹ1.32.3.120,4.(-6,U133')1203,5.<06.ᔠ$7.a>18.a>09.1"ஹ#$⚪1.1),”%=.>=%%=%+%+%2)«஽=%-%+2%C=%’010ஹ2.100,ஹ00L᳝=Xj100ஹ3.IJK<஽=M+%ᓽX=110Y=CtYO=%I00L

46/a—/)=Q++x%ᑣJ=(>1++%+ᡭ3)2-U(V+%)2*=)+4>2+3%஺-1-1ஹKY=%+%ᓽy=o1-iW=GWZ3=%ஹooi.ᓽx=GGW^f(,x,x)=MߟabXl23ஹ⚪Kscd1.IJᵫ⚪gAḄᱯij1,1,0.kl,0,lᱯij0Ḅᱯi⊈nஹ22,ᡠp1Ḅᱯiᔣnrstu᳝v7■xᨵ᳛+ᩩ=஺I|}ᓽ~QḄ2ᑡs0,1,0v',(0cটd--hU,=0100°ேGo-n:.A=Q010஺T=010<000V7I=J01>

47ᑖᔊ-⚪ᜧ2006—20072007ឋᦪ}-ᔁA⚪="¡ᑖᑖᦪ¢ᔁ£¤᪶£1ஹ¦ᔁὃ-¨©ªᔁὃ-x«¬4ஹx஺2ஹὃ®~¯°±ᡂ³Ḅ-ᔁ´ᦣ®~¯-ᔁᡈ·⚪ᓱ¹ºὃ»஺3ஹὃ¼ᐕ¾ᙠÀÁp᜜·⚪·ᙠÀÁpᑁḄ¯®Ä¢ᑖ஺4ஹὃ·⚪x=Å^ᵨÇ⁐ஹÉ⁐ÊËᡈᙊÍËsᑴÏஹᑴ⊤Ñ◀᜜v஺5ஹὃἭÔÕ¹Ö×ஹὡÙÑÚÛᘤᩞ஺ᔲᑣßàá஺6,âãp^ᵨäÚåæᘤÑåæçᐹ஺ஹᓫ⚗⌱⚪8ᐳ5:⚪;<⚪2ᑖ;ᐳ#10ᑖ>ஹ⚪8ᐳ10:⚪;<⚪2ᑖ;ᐳ#20ᑖ>"ஹ#$⚪8>8ᐳ4:⚪;<⚪8ᑖ;ᐳ#32ᑖ>ஹ#$⚪8>8ᐳ3:⚪;<⚪10ᑖ;ᐳ#30ᑖ>6ஹ⚪8ᐳ2:⚪;<⚪4ᑖ;ᐳ#8ᑖ>

48¦⚪=ஹᓫ⚗⌱ë⚪(ᐳ5î⚪ï⚪2ᑖᐳå10ᑖ)~ᑖ·⚪⌕J(ï⚪¼ᨵ=ñ,òᔠ⚪ó⌕Ḅô¯ᡠ⌱⚗õᙠ⚪öḄ÷ᑁ┯⌱'ù⌱ᡈú⌱ᙳüᑖ)1ஹ!n▤|▣4ý6Ñþᑣÿᨵ()(A)=a(aHO)=a(B))=a(aH0)*|=,஺(0-04=0(D)=06/,*|=02ஹA6▤⌮▣ᑣ()(A)▣AB(B)▣A823(C)▣ABᔠ(D)▣A84ᣚ3ஹᔣ#$I'aஹ%%;ᵫᔣ#$II'᜛”2,67ឋ⊤:ᑣ()(A)ᔆ@s,ᔣ#$nC7ឋ2ᐵ(B)ᔆEsᔣ#$IC7ឋ2ᐵ(0ᔆ@sᔣ#$IC7ឋ2ᐵ(D)ᔆEsᔣ#$IIC7ឋ2ᐵ4ஹFGHIJKL᜻N7ឋOP$4ḄRSTḄU%%KVWXY$ḄZẠU\ᓃN2^_`ᦪᑣOP$b=6ḄcU(,dU)()(A)ᓰ%++4)+(B)1al+i(ᱏ+᜛2)+'’2X-(C)+klm+&(£p&+k’110ஹ5ஹsO▣C=101,ᑣCḄᱯuv()ஹ஺1"(A)1,0,1(B)1,1,2(C)-1,1,2(D)-1,1,1

49x⚪|ஹ}k⚪~ᐳ10⚪⚪2ᑖᐳ20ᑖzᑖ⚪⌕'ᫀ}ᑏᙠ71ஹFG2ᑡᔣ#▣4=~2+஺2/,4,8=~,4sᑡ|H=—6,ᑣើ=o<500]2ஹ3▤O▣A=o1,2ᑣAḄ⌮▣A-J஺<011,'210ஹ3ஹ4=120,▣B4B4*=2B4*+Eᐸ¡A*AḄ¢£▣Eஹ001,¤▤ᓫ¦▣ᑣBḄᑡ*§0I4ஹAK3x5▤▣AḄ©r~A=2,«"20²Ur~´1=o003,5ஹFG¬▤ᑡ¡|ᑡᐗ¯°N1,2,3,4,ᐸVWḄµ¶°N4,3,2,1,ᑣ±ᑡḄvofl2-2]6ஹ¤▤▣A=212¤ᑡᔣ#FGAaa7ឋ2ᐵᑣஹ304,7ஹ¬▤▣A23¸8,AḄᱯuv2,3,4,5,E¬▤ᓫ¦▣ᑣᑡ*-ὡ=8ஹ᝞»10▤O▣AḄᔜᐗ¯½Iᙳ0,¿p~ভ=9,ᑣ7ឋOP$4r=0ḄcU஺9ஹsO▣4VÂ▣23¿A"=0,~mÄᯠᦪᑣ4=஺10ஹs|NÆ/~%,%2T=2Ç2+%;+ὃ+2%%2+É2FËᑣ/ḄᡠÍÎÏ

50?_______________x⚪"ஹ#$⚪8>8ᐳ4:⚪;<⚪8ᑖ;ᐳ#32ᑖ>zᑖ⚪⌕EF8GHᫀᑏᙠᢣLMNO;A⚪PQᑏRᦻTUᡈ#$VW>1-11x-11ஹABCτ-1x+l-1=01x-\1-1x+1-11-12ஹEᔣYZ%Ḅ\᩽ᜧ_ᐵZ;aᵨc᩽ᜧ_ᐵZ⊤eᐸgḄᔣY஺ᐸi«=(1,4,0,2)',%=(—2,—7j,-4),a=(1,4,—l,3)r34-(4,4,3,1)7,a=(2,5,1,஺),஺5

51‘1-112ஹ3ஹA=35-12AḄ©஺[53A6,'249ஹ,1144ஹ▣X,ÔXA=2X*Coᐸ¡A=657,B=232ஹ—53-2;ஹ,101

52x⚪¬ஹÖ⚪~|~ᐳ3⚪⚪10ᑖᐳ30ᑖzᑖ⚪⌕'~×ᫀᑏᙠᢣ˦ÙU⚪WᑏYᦻÛÜÝᡈÖßà(2ஹ’1ஹ’1ஹ-12-5-31ஹFGᔣ#᜛===,ᑨåᔣ#᜛áᔲᵫᔣ#$3-3126¬,஺2஺37ឋ⊤:sáᑏYâḄ,d⊤:O;sTá×ÜÝᳮᵫ஺’1-81ஹ2ஹ4=411,X=஽J12~1Ö|NÆxZx,ᑏY±|NÆᡠVWḄ▣;~2|NÆXZXᓄ᪗ìíᑏYᡠᵨḄ⌮7ឋïᣚðïᣚ▣஺

53/1-2_4)<53ஹk4=-2x—2,B—y,᝞mA,8no;Eஹ4(1)x,yḄp(2)nQḄqr,▣P,spTAP=8஺x⚪6ஹ⚪(ᐳ2:⚪;<⚪4ᑖ;ᐳ#8ᑖ)zᑖ⚪⌕EF(GHᫀᑏᙠᢣLMNO;aᑏtuC)1ஹAn▤O▣,En▤ᓫ¦▣¿A2—2A—4£=0஺òó'A-3E⌮ô(A-3E)L2ஹsᔣ#$%,%4%7ឋõᐵᔣ#$/+%4+஺3஺3+%4+qKᔲ7ឋ2ᐵ÷ÜÝᐸᳮᵫ஺

542008—2009øù|øúúû7ឋüᦪýPòᔁ(A),ஹᓫ⚗⌱⚪(ᐳ5⚪⚪2ᑖᐳ10ᑖ)x⚪⚪⌕(⚪ᨵᔠ⚪⌕Ḅzᑖᡠ⌱⚗ᙠ⚪"Ḅ#$ᑁ┯⌱')⌱ᡈ+⌱ᙳ-ᑖ)31x1.1ᑡ34x0Ḅ5637x2Ḅ8ᦪ:()10x(A)-1(B)2(C)3(D)42.@:n▤CDE▣G"=(),ᑣ)(A)r(A)+r(B)<«(B)r(A)=n,r(B)=0(C)r(A)+r(B)n3.ᔣRST,a2,,%Wឋ-ᐵḄᐙ⌕ᩩ\()(A)ᔣRS%]^DᔣR(B)ᔣRS஺1a2,%7`abWឋ-ᐵ(C)ᔣRac]dᵫᔣRSa2,஺3fWឋ⊤hi`S]ᐰ:DḄᦪkZlmk஺n+^2஺2++&.&4.qrs▤t▣Aᨵᱯvw0,1,2,3,ᑣtxSAX=0ḄzẠ|8ᡠ^|ᔣRᦪ:()(A)1(B)2(C)3(D)4

555.n▤}~▣A:E▣Ḅᐙᑖ⌕ᩩ\)(A)|A|>0BAᓫE▣E0AḄᱯvwlᜧ0Dᙠn▤E▣C,m4=஺஺⚪'⚪ᐳ10⚪⚪2ᑖᐳ20ᑖᑖ⚪⌕ᫀᑏᙠW1.▤1ᑡ3Ḅ5637/21%3☢Ḅ$஺"123ஹ2.@4=221,A஻.:A7ᐗ.Ḅ¡ᦪ¢£3ᑣ343,A1+&+'=-----------°3.@n▤E▣AḄ¤rAீ஻-1,ᑣAḄ¦§E▣A*Ḅᐗ©ª«4.▤¬E▣£1,2Ḅ¦§E▣:஺5.®C¯°WឋtxSAX=3ᨵ±|ᑣᐸ³hSAX=0|Ḅ´µO6.®ᔣRS=Wឋ¸ᐵᑣᔣRSᡭḄWឋᐵ87.@E▣AḄᱯv)⚗3:K¼4|=/112½1+2,ᑣ1ᑡ3

56pA7+A*-3E|=o8.᝞Àn▤t▣AḄᔜ1ᐗ©ª«ᙳ:2,ᑣE▣Aᨵᱯvw஺Z஺2%ஹ9.@4=[b4:ÃE▣ᑣᐸ⌮E▣A-=o2ஹC]cC,2310.°Å/%],X2F=2%½+¥+ᱏ+2%%ḄÊឋᢣᦪ:o⚪ஹÍ⚪ᐳ4⚪⚪8ᑖᐳ32ᑖᑖ⚪⌕ᫀᑏᙠᢣÎ|⚪ÏᑏhᦻÑÒÓᡈÍÔÕ1000111000()11001.Ín▤1ᑡ3D=n0001000011(\200ஹ0100,2.@A=0,1ᵨ¬×ᣚÙA"½2A-I⊤Û:¬E022(0012,▣ªÜ஺

57’30(

583.@4=130,B=01,GßàAX-2X=8,X஺ஹ1-13J10J4.ᓄ°Å/ã,ä2%3=%+2"+2%1%3-2åæ3:᪗èéêᑏhë⌮ḄWឋ×ᣚ஺

59⚪sஹÍ⚪()(ᐳ3⚪⚪10ᑖᐳ30ᑖ)ᑖ⚪⌕(ᫀᑏᙠᢣÎ|⚪ÏᑏhᦻÑÒÓᡈÍÔÕ)1.ì஺:íwÏtxS3%]+2X+£+Z-3ï=02%2+213+2%4+6%5=3%+%2+%3+%4+%5=15%+4஽+3%3+3%4~x=a5ᨵ-ñ)S|òᙠᨵ-ñ)S|Ïᵨ³hSḄzẠ|8⊤Ûᐰó|஺2.ᑨõᔣRSö=(1,2,5,2»,s=(3,0,7,141dᔲᵫᔣRS=(1,-1,0,4)1«=(2,1,5,6)r,a=(1,-1,-2,0/Wឋ⊤23hêᔣRS0,%%ù1Ḅ᩽ᜧ-ᐵS஺

60222ஹ3.@4=242ÃE▣ùm:}ûE▣êᑏh¸ஹ224,Ḅ}û▣஺

61⚪üஹýÓ⚪ᐳ2⚪⚪4ᑖᐳ8ᑖᑖ⚪⌕ᫀᑏᙠᢣÎêᑏþýÓÿ1.n▤▣AᨵḄᱯ,Ḅᱯᔣᑖ,a2!:#ᓃ,ᒹᐰ'()ឋ+ᔠᓃ%+%2%AḄᱯᔣ஺2.n0ᑡᔣ+2,12,4)ឋᐵAn▤▣!5ᔣ+Aa,Aa,,Aa)ឋᐵ஺}2s

62▬57)ឋ8ᦪ:8Aᔁ<ᫀ⌕?@Aᑖ᪗C⌱⚪8ᐳ5:⚪;<⚪2ᑖ;ᐳ#10ᑖ>1.BG2.AG3.DG4.AG5.C.⚪8ᐳ10:⚪;<⚪2ᑖ;ᐳ#20ᑖ>'0-10ஹ1.wx52.1G3.0G4.-100;ᡈEPl,2G5.4A8ᡈ}஺-1~C,'ᨵzA>56.{ឋnᐵ57.-27G8.2G9.a24c2G10.3.“3C3>"'#$⚪8>8ᐳ4:⚪,<⚪8ᑖ;ᐳ#32ᑖ>1ஹAFᢥ᯿*ᑮ10001100110001102=+(-1V=1+(-1Y00100001100110001W2,஻?᜻ᦪY஺஻?Ꮤᦪ8ᑖ2ஹA:12001000ஹপ(AE)=010001002ᑖ0022001000120001,k

6312001000'0001-2000100010001000100—>—>0010000010001-12_10001001000100~221-20()'0100ᡠ^5ᑖ001-100_127(2)A"=£(1,2(-2))£(3,4(-1))£(4,3(-1))£(3(^))8ᑖ3ஹ_5`a5ᵫAX-2XB,cᑮ(A-2E)f2ᑖ'10-100(A-2E,E)110010-1-110017T00111010-10-15ᑖ.001017'22ᡠ^A-2Eg⌮,X=(A-2E)TB=-2-18ᑖJ17`i5ᵫAX-2X=8,cᑮ(A-2E)X=B,2ᑖᵨklmnᣚpXஹ0-111(A-2E,B)=11001,-1-11107

64’10022ஹf010-2-1...6ᑖஹ°°111>u22ஹᡠ^A-2Eg⌮X^(A-2E)'B=-2-1....8ᑖ4ஹ/=ᱏ+2x+2᳝ᓰa2%2%3=PX]+}2+P஽a2_92.....6ᑖy=Xi+x3%=:2-X5ᓽg⌮)ឋnᣚ᳝i+%—%■/=%•.....8ᑖ.3=%a%'⚪PiPᐳ3⚪⚪10ᑖᐳ30ᑖ1ஹ_5ᵫ‘3211-30ஹ012263r(A஻)=111111ஹ5433—1a,‘111111012263f00000a-2ஹO00000+ᨵ+_ᡠ^rPA=rPA,Z?=2,ᦑa=2...4ᑖ

650-1-1-5-2ஹ012263r(A,b)f+l+000000,000000X=-2+3+%4+5X]5x=3-2X-2Xa6/234=Z=X=0,cᑮᱯ_7=(-2,3,0,0,0/7ᑖஹXஹ\(¡01,0,ᑖ8ᐭl+Ḅ£¤)ឋ+¥pc¦Ạ_¨00J஺=(1,-2,1,0,0)"^=(l,-2,0,l,0)r,^,=(5-6,0,0,1/2+Ḅᐰ¬_X=஻+®+2}+&}ᐸ¥±᝕2,*3´µ¶ᦪ10ᑖ2ஹ_5klmnᣚ·▣Pq,a24ᱏ¹ᑮmᨬ»¼·▣3ஹfl00-12ஹ211-11-120.01011(a-3B\,C=05-2570010-114J[00ஹ4602000,...6ᑖgcᑮᑖ2¾ᵫ24஺3)ឋ⊤À,Á1=-«|+a,/3=2a,+a-a222yᔣ+4Z],%%ÂÃ2ḄaÄ᩽ᜧᐵ+10ᑖ3ஹ_5

662-4-2-2\AE-A\=-22-4-2=(/L-8)(2-2)24-2-2A-4cᑮ·▣AḄᐰ¬ᱯ4=%=2,4=8#4=%=2(ᵫ(2E-A)x=0caĦẠ_¨஺=(-1,1,0Ã4=(-1,஺,1Ã11ÇÈᓄ,ᓫËᓄ4=(a,0)A=…7ᑖ#4=8(,ᵫ(8E—A)x=0ḄaĦẠ_}=(1,1,1),ÌᐸᓫËᓄcᵨ3=£/Î9ᑖ—、1⌭五]61#1-BᑣÇÈ▣p=(Ñ44)=Ç63IÒ'I503/200ஹḄÓÔ▣A=02010ᑖ008,Öஹ!⚪(ᐳ2⚪⚪4ᑖᐳ8ᑖ)1ஹ!5A(×2+ka)=AR/]+AZ2a2=ᓃ42+AAz2222ØAa=42Aa=^ax22A(k,a,+k)a>)=k\a+ÙÚÛÜ4w4xx

67ᡠ^ᓃ2+2a2AḄᱯᔣ......4ᑖ2ஹ!5ᵫ%,%,&)ឋᐵ᪷Þßàáᙠᐰ஺Ḅᓃ,ã&äcᓃ%+ã᜜++ka=0,ᵨ·▣AælçèécᑮssAêë+A^/+4ᵨ=*ì|+᝞^/ᓝ/3&ᐰ0,᪷Þ)ឋᐵḄßàcᑮᔣ+4a,Aa24%)ឋᐵ......4ᑖ2

68ñòóôᜧõ2009—2010õxöiõ÷÷øð⚪aஹᓫ⚗⌱û⚪(ᐳ5⚪⚪2ᑖᐳ10ᑖ)cᑖ<⚪⌕p5(⚪üᨵaÄýᔠ⚪þ⌕pḄÿᡠ⌱⚗ᙠ⚪Ḅᑁ┯⌱ஹ⌱ᡈ⌱ᙳᑖ)1—1X+11.ᙠ/(x)=1x-11fḄᦪ()X+1-11(A)-1(B)0(C)1(D)22.AmXn!▣-(A)=#3m▤%⌮!▣Cm▤'%⌮!▣(r(C)ឋᐵḄᱯ:ᔣ0ᑣ()(A)A=B(B)AKB,A-C=0(0AB(D)ADB'EFGHA8=I|4.5A,KCᙳn▤!▣(A5=5C=C4=E,ᐸEn▤ᓫN▣ᑣA2+B2+C2=)(A)0(B)E(C)2E(D)3E

69fl())flOA,5.54=,ᑣAD8()2.j(A)ᔠ8(GH(B)'ᔠ8AGH(C)ᔠ8A'GH(D)['ᔠ8\'GHp⚪]'_⚪(ᐳ10b⚪c⚪2ᑖᐳe20ᑖ)qᑖf⚪⌕hijkfᫀᑏᙠn>oa௃q2஺[b]+q3q1.xyabc=m^0,ᑣ2a2b+c3c2=____________022222"3"3’32a34+C33c3(\on,2.54=020,|}▤!▣஺~AQ+=4+஺ᑣQḄEḄJ0bᔣ0O3.y᜛nᓫNᑡᔣ0/£Ḅ|஺=?ᑣC2=o4.5%,%ᑖ!▣AḄ.ᱯ:;4%Ḅᱯ:ᔣ0ᑣᵯ~°5.5A¡▤!▣A*ᐸ£¤!▣%,Ḅ¥¦§¨1AX=0Ḅ.>ឋᐵ,ᑣ"A*)=o6.ᔣ01%=(l,3,0,5,0)r,%=(஺,2,4,6,0)7,=(஺3,0,6,9¯Ḅ>ឋᐵOx+2X—2X=0}237.y}▤°±!▣3ḄcEᑡ²§¨1³2᳝Eµ2+¶ᙳ=0Ḅ,ᑣ3%]+2-¸=08.y}ᔣ0_¹ᑁḄ*º4=(1,1,0)7,4=(1஺11%=(஺1»¯ᑣᔣ0

70p=2,0,0ᙠḄᙶ᪗1nP00ஹ9.k4=1210a0;ᑣ”12)(004,10./8,%2,/=2%2+2¥+2ᱏ+2%+2%%-2%%Ḅ?஺,23p⚪"'#$⚪8>8ᐳ4:⚪;<⚪8ᑖ;ᐳ#32ᑖ>qᑖ⚪⌕EF8GHᫀᑏᙠᢣLMNO;A⚪PQᑏRᦻTUᡈ#$VW>abbbbabb1.Eᑡ஺=Ḅ*ᐗḄᦪg¡¢bbab1234£00ஹ’100ஹ2.kA=020,B=010,E(A8)ஹ003(031;?

71'12O'3.5n▤§▣~A+23=AB,y8=-120,h!▣4.ஹ஺03,4.5]¦¼/(½,¾2,ᵯ)=ad+2ÀE+2᝞ᵯ(஻>0)]¦¼Ḅ!▣AḄᱯ:;¶Ä1,ᱯ:;¶Å-12.(1)hḄ;Æ(2)ᵨȧÉᓄË]¦¼᪗ÍÎ.

72p⚪¡ஹeÏ⚪Ð]ÑÐᐳ3b⚪c⚪10ᑖᐳ30ᑖÑqᑖf⚪⌕hiÐÒfᫀᑏᙠᢣFNo,⚪ÔÕᑏÖᦻØÙÚᡈeÏÛÜÑ1.ݾÞ;Ô§¨12%+AX-x=123àá-x+x=2234%1+59-5&=-1,ஹᨵãE,ᡈᨵä1,åᙠᨵä1,ÔᵨæÖ1Ḅ*Ạ,⊤èᐰê,.2yᔣ01஺1=Ð1,3,2,0ÑJ«=Ð7,0,14,3/,«=Ð2,-1,0,1/,23஺4=Ð5,1,6,21,¾=Ð2,-1,4,1¯Ð1Ñhᔣ01ḄìÆÐ2ÑhËᔣ01ḄE.᩽ᜧᐵ1ïðᐸñᔣ0ᑖᵨË᩽ᜧᐵ1>ឋ⊤è.

73<122ஹ3.y!▣4=212ÆᑨõAöᔲóᓄ|%óᓄhjø![22▣P,òpT/LPó!▣ïᑏÖGÕḄó!▣஺p⚪ùஹúÚ⚪Ðᐳ2b⚪c⚪4ᑖᐳe8ᑖÑqᑖf⚪⌕hiÐÒfᫀᑏᙠᢣFNoïᑏûúÚü¨Ñ1.5an▤!▣AḄᱯ:;ZḄᱯ:ᔣ0.úÚi஺ýA5E4A3ᓝ£Ḅᱯ:ᔣ0.ᐸEn▤ᓫN!▣.

742.5nᔣ01஺//>ឋᐵᔣ014,3>ឋGᐵúÚi6ÿᵫᑖ,/ឋ⊤.

752009—2010ឋᦪAᔁᫀ⌕!"#ᑖ᪗%⌱⚪8ᐳ5:⚪;<⚪2ᑖ;ᐳ#10ᑖ>1.A52.B53.C54.D55.C.⚪8ᐳ10:⚪;<⚪2ᑖ;ᐳ#20ᑖ>1.6m52.82,0,1>53.ᓿ4.055.056.{ឋ_ᐵ57.158.1,1,-159.1510.2."'#$⚪8>8ᐳ4:⚪,<⚪8ᑖ;ᐳ#32ᑖ>1ஹA:ahhhhahh&'+A42+A43+A*hhah4ᑖ1111ab-ab-ab-aba-b00=(a-b)38ᑖb0a-b0100000Y100ஹU00ஹ2ஹAFBFAB=02001002003&03b93,2ᑖ

76'100100ஹ(ABE)=020010ஹ093001,zz10010010()10()T*—>0100001000229_3J_003010010~2y-23>r1100ᡠ/(A8)T=.....8ᑖ0-02c310-----------I23)(2)56:/100100fl00ஹ1j_(ABY1=B'A1=01000008ᑖ22ஹ0-3b230003>-23>3ஹ9:56;:ᵫA+28=A5,=>IJA(£—B)=—23,...2ᑖ'0-20100ஹ(E-B,E)=1-10010ஹ00—200"

77A10010~2—>010005ᑖ~200100-2,k(3-20]ᡠ/IE-B_⌮,A=-2B(E-&)-'=120.……8ᑖ1003)56:ᵫA+2B=A3,=ᑮA(E—3)=—25,....2ᑖᵨLMᑡOᣚQA'0-20ஹ'100ஹ1-10010(E-B\00-2001——>I-25J-2-403-202-40120ஹ°0—6,ஹ003,6ᑖ'3-20ஹᡠ/IA=120....8ᑖஹ003,fa0bஹ4ஹ9:UVḄX▣A=020᪷[⚪]=ᑮ30—2,a+2+(—2)=1,4?—2஻=—12a=l,b=24ᑖf=xf+2x2—2a+4bb=(x,+2X)2+2X2—6X2323

78%=xi+2xfI?2=X2I᪗%gh.....8ᑖiஹjk⚪()(ᐳ3m⚪In⚪10ᑖIᐳj30ᑖ)22-11ஹ9:H=/l-11=(2-1)(52+4)ᵫqrs6ᑣ45-5uv1x1w;1#-1zI5{|ᨵ~;9v……2ᑖ4ua=_2z5(4ஹ2——-11510-4-55ஹ4r(A,b)=---112T——>-4-5510.uu,I0009,45-5-1ஹ)ᨵr(A)H"A,஺)Iᡠ/5{|9v...4ᑖu2=1zஹ’21-11ஹ<1001r(A,b)=1—112—>,,,—>01—1ஹ45-5(0000Jᨵ"A)=r(A1)=2<3,5{|ᨵ|9I5{|M5{|h%=1%2;3=-1&=0,=ᑮᱯ9஻=(1,-1,0fb=1IᐭM5{|ḄUឋ5{|Q=Ạ9h

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81ÎÏÐÑᜧÒᖪ▾2008-2009ឋᦪÕ{ÖᔁA1ஹ×ᔁὃÖgªhÙᔁIὃÖzÚhÛmz஺2ஹὃÜÝ=¹ÞßᡂáḄÖᔁâᦣIÝ=¹Öᔁᡈ⚪ᓱæçὃè஺3ஹὃÜéᐕëᙠíî/᜜⚪Iᙠíî/ᑁḄ¹Ýñ#ᑖ஺4ஹὃÜ⚪z;òÀᵨó⁐ஹõ⁐ö÷஺5ஹὃÜἭùúæûüஹὡþMÿᘤᩞ஺ᔲᑣ஺6ஹἭᵨᵯᐹᐺ஺⚪:ஹᓫ⚗⌱"⚪#ᐳ10⚪,(⚪2ᑖᐳ20ᑖ1—10⚪,-ஹᑨ/⚪#ᐳ10⚪(⚪1ᑖᐳ10ᑖ11—20⚪,1⚪:S1345⚪#ᐳ5⚪(⚪2ᑖᐳ10ᑖ,S2378⚪#,#ᐳ3⚪(⚪6ᑖᐳ18ᑖ,S3378⚪#-,#ᐳ2⚪(⚪8ᑖᐳ16ᑖ,S4378⚪#<,#ᐳ2⚪(⚪10ᑖᐳ20ᑖ,

82S53=>⚪(ᐳ1⚪(⚪6ᑖᐳ6ᑖ)ABᑖ⚪(ᐳ30ᑖ)ஹᓫ⚗⌱⚪(ᐳ10;⚪,<;⚪2ᑖ>ᐳ20ᑖ)a\\a\2ai3j2^/2)3^^231.FGᑡI஺21஻22஻23=d,ᑣ^Z|τ2^Z],§JK()஺31஺32“33஺312஺323a33(A)2d(B)3d(C)6d(D)-6d‘123ஹ2.L4=0-10,%NOPᐗR%ḄTIᑣU|஻32+%3=()J1J(A)0(B)1(C)2(D)33.L4“▤Z⌮\▣ᑣ^ᑡᔜIឤᡂbḄN()(A)12Al=2|A'|(B)(2A)~|=2A-'(0|A*|=|A-'|(D)[(d)e=["/4.hJ\▣ij()(A)klmnopqNhJ\▣(B)klmnqNhJ\▣(C)rNZ⌮\▣(D)ᡠtuḄGᑡIḄv15.^ᑡwx஻▤\▣AZ⌮Ḅᐙ⌕ᩩ|()(A)O/0(B)AZ}⊤ᡂᨵ▲mhJ▣Ḅop(0\▣ᙠ(D)AḄJ᪗ᓫ\▣6.LAmX/\▣C஻▤Z⌮\▣B=AC,ᑣ()o(A)(A)>(B)(B)(4)=(8)

83(C)(A)ீ(B)(D)(A)(3)ḄᐵC7.᝞ᔣ£Zᵫᔣ4,¡ឋ⊤ᑣ^ᑡ£¤P¥¦ḄN()(A)ᙠwᐰ¨Ḅᦪᓃ᝕2k5,¬ᑖ=ᵨ4+Z2a2+ᡂb(B)ᙠᐰ¨Ḅᦪ°,&24¬²=&³+Ḅ4++4%.ᡂb(C)ᙠᦪ°,´,%¬µ=4/+&%++kaᡂbss(D)t᜛Ḅ¡ឋ⊤·I¸8.LN¹º¡ឋ»¼AX=()Ḅ¾7,%N¿¹º¡ឋ»¼AX=bḄ¾ᑣ()(A)2஺+/4*=0Ḅ¾(B)7+44È=%Ḅ¾(C)AX=OḄ¾(D)4AX=bḄ¾Ã10ஹ9.LA=101,ᑣAḄᱯÆvN()»ஹ01L(A)0,1,1(B)1,1,2(C)-1,1,2(D)-1,1,110.F஻▤»▣AËtÌ▣ÍÎᑣ()஺(A)r(A)=n(B)Aᨵ஻mÐwÍOḄᱯÆv(C)Aᨵ஻m¡ឋÑᐵḄᱯÆᔣ(D)4ÒtÓ\▣ஹᑨ@⚪(ᐳ10;⚪><;⚪1ᑖ>ᐳ10ᑖ)ABCD⌱A,┯F⌱B.11.LAB஻▤»▣ᑣᨵ(A+B)(A—3)=42—Ô஺()12.Õ஻᜻ᦪ×஻▤ØtÓ\▣AN᜻Ù\▣஺()

8413.LA,8,CO▤»▣AB=AC,ᑣ8=C஺#,14.F\▣AᨵmÚ▤I஺/0,ÛAPᨵmÜᨵ஺Ḅr+1▤IJK¨,ᑣAḄJKÝ#,15.F¿¹º¡ឋ»¼AX=hᨵÑßà¾ᑣᐸâãAX=#,ᨵ¿¨¾஺#,16Fᔣä,4%¡ឋÑᐵᑣᔣå,%æ¡ឋÑᐵ஺#,17.JḄᔣḄÍJ஺#,18.LABrN஻▤¥ç\▣ᑣ4+3èN¥ç\▣஺#,19.\▣AwOᱯÆvtuḄᱯÆᔣÒ¡ឋÑᐵ஺#,20.lmÍÎḄ»▣ÒJlmᔠOḄ»▣èÒJ஺#,A-Bᑖ1⚪#ᐳ70ᑖ,⚪ê¬ᑖ51"ஹ⚪8ᐳ5:⚪;<:⚪2ᑖ;ᐳ10ᑖ>1.ᙠ5▤GᑡIPq2a25%஺43a54ḄìêN’500ஹ2.FA3▤»▣A-'AḄ⌮\▣Û021,ᑣ4=,ïðᓛ+Z+%3=03.¡ឋ»¼2%+஽+ó=°õᨵ¨¾Ḅᐙ⌕ᩩ|N.öW+33=04.øù<▤\▣AḄᱯÆv1,2,3,ᑣú_5A2+74ü.5.ý-º/#5,2%3,=%þ+2%X2+⎃+3ᱏ£=ᐸ2.஺

85⚪ᑖs2ஹ#$⚪8>8ᐳ3:⚪;<:⚪6ᑖ;ᐳ18ᑖ>212310001.#$4▤ᑡ231262312.¯°ᔣYZ1=1,1,2,114=10,0,2஺=-1,T,—8,᝕²{ឋnᐵ,E³.

863./=1,!2,2ஹa=-l,O,-lr,4=5,-3,-7)ᵨ+,ᱯ.2/ᓄ123ᔣ56./ᓄ஺⚪ᑖGஹ⚪*+*ᐳ2;⚪><;⚪8ᑖ>ᐳ16ᑖ+’31-n(\4ஹ1.4=120,B=-13<=▣X@AAX-X=B,DX஺J-12,

87'001ஹ2.4=11a,E஺FG=▣AHIJᓄ?J00,⚪ᑖHஹ⚪*+*ᐳ2;⚪><;⚪10ᑖ>ᐳ20ᑖ+1.LFGMឋOP6᳝+42+/+R4+*5=]3S+2X+&+x4_3x=0<25x+2X+2X+6X=323455%+4X+3T+3/-x=A25ᨵVWᙠᨵVḄZ[\Dᐸᐰ^V<ᨵ_`Vᵨᐸab6ḄcẠVe⊤g஺

882.Dᔣ56h=(2,1iஹa=(-l,l,-6,6)7>a=(-1,-2,2,-9/ஹ232,71ஹ%=(2,4,4,91Ḅ!j᩽ᜧ_ᐵ6n2ᐸoᔣ5ᵨ᩽ᜧ_ᐵ6Mឋ⊤g஺⚪xᑖs5I'#$⚪(ᐳ1;⚪><⚪6ᑖ>ᐳ6ᑖ)4p4q=▣AḄrjstḄᱯuGIvḄᱯuᔣ5wxᨴpp2z{P]+஻2sqAḄᱯuᔣ5஺

89}~ᜧᖪ▾2009-2010MឋᦪPᔁ(A)ᫀ⚪ஹᓫ⚗⌱⚪(ᐳ10:⚪;<⚪2ᑖ;ᐳ#20ᑖ)ᑖ⚪⌕EFGHq´⌱⚗µḄT¶ᙠ⚪·Ḅ¸xᑁ1.º%..;ᵨ,ᑖ»¼ᑡᔣY;½▤ᑡ|¿஺2a3▂=";|a,a&a|=n,ᑣ▤ᑡᓃÃ/(4+?)|=(C)23(A)m+nτ(B)-(m+n)(C)n-m(D)m-n12-a3a2.k,▣,ᑣ(B)265c6(A)a=1b=-2c=2(B)a=1b=2c=-2(C)a=-lb=-2c=2(D)a=—\b=2c=—23.ºAஹBᙳ?ÅzB▣;½AB=0,ᑣᨵAஹB(D)(A)»Æ⌮(B)ÈÉᨵ\Æ⌮(C)r(A)=r(B)(D)»3Æ⌮4.ᑡᔣYi;Æᵫ%=(0,1,0)ËÌ%=(10,0),{ឋ⊤eḄ(B)(A)(0,0,1)T(B)(0,3,0/(0(0,2,l)T(D)(2,0,l)T5.k,▣AÍÎA?+4A—5E=0,ÏI(A)(A)AÌA+4EÐPÆ⌮(B)A+5ELÆ⌮

90(C)xMឋOP6(A+5E)X=0ᨵV(D)A-E!⌮6.

9111.l)AºB,Ôᨵ(A+B)(A-B)=A2-B2(B)14.<ᔣ56a,ºÕ,Õ…,ᨴÀ×ᑣs=f(B)15.

9223.=▣A⌮ᑣᐸùú=▣A*⌮¤(4*)T=ûA24.᝞ý4x5▤=▣AḄᔣ56Mឋ_ᐵᑣxMឋOP6AX=OḄcẠVe¥þᨵ1jᔣ525.<ᔣ56¥þᨵᔣ5ᑣÿᔣឋᐵ26.a=(1,2,᝕,4)7,4=(4,3,2,—2)ᑣ=127.A!▣,ᑣ|A7|=128.$▤!▣AḄᱯ()-2ஹ1ஹ4,ᑣ,=29../-512▣AḄᱯ()ᑣA-2E45ᨵ47ᱯ()830.7,…;<=>ឋ2?AX=bḄ4B᝞D+Q%+…+£,IJ1K2?Ḅ47BᑣL4=1/=1e⚪S1:PQ⚪4(ᐳ2I⚪T⚪8ᑖᐳ16ᑖ)fᑖV⚪⌕XYᑏ[ᦻ]^_`a⌕bQcd3-1-101.PQg▤hᑡj1234120510123-1-1010121012101212341234()2220111BY—_4—=21205120502-1302-1310123-1-100-1-4-60146

9310121012011101112=2=—3600-3100-3100350006'012.B!▣2?(E-A)X=6,ᐸnA=-1118=20-ioஹ53,'100ஹ'010]f1-i0ஹBYE-A=010-111=10-1-JUஹ°0b002J1-101-A(1-101-A(1-1o1-P(E—A,B)=10-120->01-111-01-11153J101"10J0224033’10031ஹ'31ஹ701022X=22ஹ0011"e⚪S2:#$⚪(ᐳ3:⚪;<⚪10ᑖ;ᐳ30ᑖ)fᑖ⚪⌕EFᑏRᦻTU¢Ñ⌕Ò$VWL{5ᔣq=(1,1,1,1)ஹa=(l,-l,l,-l)r,%=(13,1,3)L2a=(1,-1,-1,1/,XKᔣḄ547᩽ᜧᐵᐸ4ᔣᵨK᩽ᜧᐵឋ⊤஺

94‘111τA/]]τ(]]1(A1-13-10-22-201-1(%a2a3aD=ெ1->->1-1000-201-10J-13ஹ0—220,ஹ0001>B:‘1111]H111ஹ’1110ஹ’1020ஹ01-]101-1101-1001-10-»—->000-1000100010001,0001J10000,ஹ0000;10000>ᡠYr(a(a2a3a4)=3,«,147᩽ᜧᐵ,73=2al-a22.ᵨᐸ[ḄẠB⊤☢2?ḄᐰB%1+2X-X-2X=0234v2Xj—X?43+84=1381+x-2X-x=\234‘12-1-20](I2-1-20ஹ(\2-1-20ஹB2-1-111-0-5151f0-5151JI஺-5110ூ31-2-1150000,‘1-303r-4.0-5151ஹ00000?Ḅ=1-3X+3X42x=1-5X+5X342£2=ᓃ=0,fឋ2?Ḅ47ᱯB¥=(l,0,l,0)T$=3X+3X42ᐸ[Ḅ4§BYx=5X+5X342

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97Ø$ᑖÙÚÛὃẆÞ⚪ஹᓫ⚗⌱⚪1.[2006-3]a],?…4ᙳnÍᑡᔣA1஻2X஻!▣ᑡ⌱⚗Ḅ1(A)a”?…4ឋᐵᑣA4,A%,…,A4ឋᐵ.(B)a”᜜,…4ឋᐵᑣA஺],Ag,…,A&ឋᐵ.(C)a”a2,…4.ឋᐵᑣAq,Ag,A4ឋᐵ.(D)q,ᵯ,…4ឋᐵᑣA஺1Ag,…,ឋᐵ.[A]2ç2006-3ஹ4]A3Ḅ▤!▣AḄØ2hèᑮØ1hf5,ê3ḄØ1ᑡḄ-1ë(10ஹèᑮØ2ᑡfC,ìµ=010ᑣஹ001,(A)C=P~'AP.(B)C=PAP~l.(C)C=PTAP.(D)C=PAPT.[B]342007-3ஹ4]ᔣg,a2,஺?ឋᐵᑣᑡᔣឋᐵḄ1(A)%-%,%_%%4«(B)%+%%+%%+%(C)a-2aL,%—2%%—2%(D)«+2%,%+2+2%[A]](2-1-1ஹ’100ஹ4[2007-3>4]!▣A=-12-1,B=010,ᑣABஹ-1-12,ஹ000,(A)ᔠîï(B)ᔠîð½ï(C)½ᔠîðï(D)½ᔠîJ½ï[B]5.[2008-3]An▤<ñ!▣En▤ᓫÃ!▣A=0,ᑣ(A)E—A½ò⌮E+A½ò⌮.(B)E-A½ò⌮E+Aò⌮.(C)E-Aò⌮E+Aò⌮.(D)E-Aò⌮E+A½ò⌮[C]6ç2008-3]4=ô,ᑣᙠ±ᦪö÷AᔠîḄ!▣[D]7.[2009-3JA3ᙳ2▤!▣A*,8*ᑖ©A,3Ḅùú!▣î=2,û|=3,ᑣ

98‘0Aᑖᙽ!▣Ḅùú!▣BOO3B'O2BýஹO3AO2A*ஹ(B)(C)(D)[B]2A*Oஹ3A*O2BO3BO777\700ஹ8.[2009-3]A,µᙳ3▤!▣µ’µḄþÿ▣4=010.002,?=(%%,%),஺=(%+%,%,%)ᑣ஺740’210ஹ’110ஹ’200ஹf\00ஹ(A)110(B)120(C)010(D)020IAJஹ002,ஹ002,ஹ002,ஹ002,9.[2010-$%ᔣ'(I:%,6.+ᵫᔣ'(n./012ឋ⊤5.6ᑡ8⚪:;Ḅ=(A)ᔣ'(I2ឋ>ᐵᑣ(B)ᔣ'(I2ឋ@ᐵAUr>s(C)ᔣ'(n2ឋ>ᐵᑣr4s(D)ᔣ'(n2ឋ@ᐵᑣr>s[A]10G2010-3]%A4▤JKL▣A?+A=O.AḄO3,ᑣA@PQ1<1'1<-1ஹ(A)1(B)1(C)-1(D)-1[D]1-1-1-10;0,10S10>1U2011-3]%A3▤T▣UAḄV2ᑡWᑮVYᑡZᑮ▣B,[\ᣚBḄV^_`’100ஹP00ஹVl_Zᓫn▣o4=110,2=001$ᑣA=001,0107;(A)PXP2(B)P&'P2(C)q(D)PXP-'[D]12.[2011-3]%A4X3▣᝞c,d=efg2ឋTh(i=4Ḅ3j2ឋ>ᐵḄk,r,stuvᦪᑣAx=Ḅyk(A)%z■+4(%-/)(B)+r(%_/)(C)"+ᓃ(%-/)+&(4-/)(D)+ᓰ(%-/)+ᑁ(%-7)©ஹ⚪

991.[2006-3ஹ41q,42ᑡᔣ'▣A=(2q+஺2஺|-)8=(6,)_ᑡIA1=6,A”3|=-2.2.2006-4%▣A=,E2▤ᓫn▣▣8▣84=3+2E,ᑣBl-l2j=P’0100ஹ3,2007-3ஹ4%▣4=°°1°ᑣHḄO0001ஹ0000,4.12008-3J%3▤▣AḄᱯ=1,2,2,E3▤ᓫn▣ᑣ|44"Yq=3'300ஹ5.2009-3%஺=(1/,1/?=(l,(U)T஺▣0᜜@PQ000,A=2ஹ000,6.2010-3%A,B3▤▣|A3,|B|=2,|AT+B|=2,AIJIA+B-11=3.7.[2011-3]%^g/(%,஽,)=⏙ḄO1AḄᔜ_ᐗ3,ᑣ/ᙠ:\ᣚx=Qy6Ḅ᪗¢£3yS."ஹA⚪1.[2006-3>4]%4ᔣ'(a1=(1+,a=(2,2+0,2,2),%=(3,3,3+a,3)',2a=(4,4,4,4+஺ᔆ¥஺¦§2M3M42ឋ@ᐵ¨q,%6%2ឋ@ᐵ§4©ᐸYj᩽ᜧ2ឋ>ᐵ(Uᐸ®ᔣ'ᵨ°᩽ᜧ2ឋ>ᐵ(2ឋ⊤5.2.(2006-3,4J%3▤JKL▣AḄᔜ_ᐗᙳ3,ᔣ'4=(-1,2,-1)஺a=(0,-1,l)r=2ឋTh(Ax=0Ḅ²jk.2(I)©AḄᱯ`ᱯᔣ'S(II)©:\▣0K³▣A,´ZQ'AQ=AS(3V(HI)©AµA--E,ᐸ¶E3▤ᓫn▣.<2J

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