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ua2+b2-u22ab+c2+d2-v212cd,u2ab+v21cda2+b2ab+c2+d2cd.,v2cd+u21abc2+d2cd+a2+b2ab.,(u+v)2+(u1+v1)2(ab+cd)u2ab+v2cd+(ab+cd)u21ab+v21cd=u2ab+v2cd+u21ab+v21cd2a2+b2ab+c2+d2cd.()2002:(7,70)1.ABCx29+y24=1,A(0,2),Ay..2.xy,sinx=cosy,cos2x2+sin2y2=103(x2+y2).xy.3.35,135,nn23-5n+23,().,().4.()258..5.|x|1x,t+1(t2-4)x,t.6.abcda2+b2+c2+d2=5.(a-b)2+(a-c)2+(a-d)2+(b-c)2+(b-d)2+(c-d)2.7.f,f(1)=2002f(1)+f(2)++f(n)=n2f(n)(n1).f(2002).8.f(x)=12x(1-x+1-2x+2x2),1x[2,4]..9.1,ABC,B=C,PQACAB,AP=PQ=QB=BC.A.10.1,.(16){an}{bn},Sn=a1+a2++an,Tn=b1+b2++bn,n,SnTn=3n+3131n+3.(1)b28a28;(2)bnann.(16)Fn(A1,A2,,An),Ai(1in){1,2,3,,2002},|A|A.F(A1,A2,,An),|A1A2An|,(A1,A2,,An)F|A1A2An|.(18)1,2,,nn,141,2,3,4,n410;245,6,7,8,426;(4,4).(1),n?(2)n=2002,,(1,2,,2002)?1.723312.3133.1854.arccos385.13-12,21+126.207.220038.14,5-149.2010.129220032©1994-2007ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(1)anbn=a1+a2n-12b1+b2n-12=S2n-1T2n-1=3(2n-1)+3131(2n-1)+3=3n+1431n-14,b28a28=3128-14328+14=312-132+1=617.(2)(3n+14,3)=1,bnan=31n-143n+14Z3(31n-14)3n+14=31-4763n+14Z(3n+14)|476.476=22717,3n+1417,3n+14=17,28,34,68,119,238,476.n,n=1,18,35,154.{1,2,,2002}22002,|F|=(22002)n=22002n.a{1,2,,2002}.A1A2Ana,Ai(1in)a.{1,2,,2002}a22001,A1A2Anan(A1,A2,,An)(22001)n=22001n,22002n-22001nn(A1,A2,,An),aA1A2An.,(A1,A2,,An)F|A1A2An|,a(22002n-22001n).{1,2,,2002}2002,(A1,A2,,An)F|A1A2An|=2002(22002n-22001n).(1),3,np1,n-3p=1,n=3p+1.nn31.(2)4k,S,4k,4k-1,4k-1,4k-14kS.1,(k+1)S.2002=1024+978=45+978.20029783=326,45,1,2,3,1304(1304=4326),451+2++2002.1,(1+2++1304)+6(1+2+3++2002)=12880878.()2002(2002O09O079:0011:00)(6,36)1.Ry=f(-x)y=f-1(-x),().(A)y=f(x)(B)y=f(x)(C)y=f(x),(D)y=f(x),12.f(x)=ax2+bx+c1.N=|a+b+c|+|2a-b|,M=|a-b+c|+|2a+b|.().(A)MN(B)M=N(C)MN(D)MN3.,,().(A)4567(B)4678(C)678(D)4564.ABC,(sinA+sinB)(cosA+cosB)=2sinC,ABC().(A)(B)(C)(D)5.ABC,C=90.sinAsinBx2+px+q=0,().03©1994-2007ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.