2008年江苏高考数学卷

1122008III1.2.2B0.53.4.5.2B:1x,2x,,nx222121nsxxxxxxnxVShSh15701.cos6fxx50=2243.11iiabi,abRab=4.A=2137xxxAZ5.ab1201a3b5ab13VShSh24SR343VRR2126.xoyD2E1DE7.70-80h5050iGiFi1[45]4.560.122[56]5.5100.203[67]6.5200.404[78]7.5100.205[89]8.540.08S8.12yxbln0yxxb9xOyABCA(0,a),B(b,0),C(c,0)P0pAOa,b,c,pBP,CPAC,ABEFOE11110xybcpaOF110xypa.10123456789101112131415nn3311.,,xyzR230xyz2yxz12.xOy2222xyab1(ab0)2cOaMP2,0acMe=31213AB=2,AC=2BCABC14.331fxaxxxR1,1xfx0a=69015xOyOx,ABAB225,105tan()216ABCDCB=CD,ADBDEFABBDEFACDEFCBCD17ABCDABCDPAB=20km,CB=10kmABCDABOAO,BO,OPykmBAO=(rad)yOPx(km)yx18xoy22fxxxbxRCbCCb41219.12,,,naaa4n0dn=41adnn(n4)12,,,nbbb20.113xpfx2223xpfx12,,xRppf(x)x112212,,fxfxfxfxfxfxfx1fxfxx12,pp,abab12,pp,ab,fafbfx,ab2ba,mnnm512200815701.10.2105T2112664(1,3)(2,2)(3,1)3316612P3.121112iiiia0b11ab4.02(1)37xx2580xx,0AAZ5.72222552510ababaabb=221251101334925ab76.16D4E214416P7.6.428.ln21612'1yx112x2x2ln2bln21911cb11cbAB1xybaCP1xycp11110xybcpaABCPFOOF10262nnn112,n122nnn322nn3262nn11.3230xyz32xzy2yxz229666344xzxzxzxzxzxzx3z12.22PAPBOAPAOAP22aac22cea1322BCxAC2xABCS=21sin1cos2ABBCBxB7122222242cos24ABBCACxxBABBCx244xxABCS=2221281241416xxxx2222xxxx222222x22xABCS2214.4x0afx0x01,1x331fxaxx02331axx2331gxxx'4312xgxxgx10,21,12max142gxga4x01,0331fxaxx0a2331xx'4312xgxx0gx1,0ma14ngxga4a415225cos,cos105,sin=725,sin1051tan7,tan2tan()=tantan31tantan81222tan4tan21tan3tantan2tan211tantan2,30222=3416E,FAB,BDEFABDEFADEFACDADACDEFACDADBDEFADEFBD.CB=CD,FBDCFBD.EFCF=FBDEFCBDBCDEFCBCD17POABQPQABBAO=(rad)10coscosAQOA,10cosOBOP1010tan1010ta10101010tancoscosyOAOBOP2010sin10cosy04OP=x(km)OQ10xOA=OB=222101020200xxx2220200010yxxxx'2210coscos2010sin102sin1coscossiny'y0sin1204=60,6'0yy,64'0yy912=6min10103yPABAB1033km18x0y0b220fxxxbb00b1b02x20yDxEyFy020xDxF22xxb0D2Fbx02yEy0bEb1C222(1)0xyxbyb.C012101C021220b1b00C01C2119.16d0=0a-d0,a,d+d0a2=(d-d0)(a+d0)d0=01(i)n=4,d0,a2a32aa1,a3,a4(a1+2d)2=a1(a1+3d)d0a1=4dda1=44d,3d,2d,da3a1,a2,a4(a1+d)2=a1(a1+3d)1012d0a1=dda1=1d,2d,3d,4dda141(ii)n6a1,a2,,,,ana1,a2,,,,an0n5n4n=45.n=4in=5a1,a2,a3,a4,a5a3a1,a2,a4,a5(a1+d)2=a1(a1+3d)(a1+3d)2=(a1+d)(a1+4d)a1d=d2a1d=5d,d=05n4.2ndnb1,b1+d,,,b1+(n-1)d(b1d0)b1+m1d,b1+m2d,b1+m3d0m1m2m3n-1(b1+m2d)2=(b1+m1d)(b1+m3d)(m1+m3-2m2)b1d=(22m-m1m3)d2(*)b1d0m1+m3-2m222m-m1m3m1+m3-2m2=022m-m1m3=0231)2(mm-m1m3=0(m1-m3)2=0m1=m3m1=m2=m3m1+m3-2m222m-m1m3*2313122'12dmmmmmmbm1m2m3'1dbn4,'1dbb1,b2,,,,bn1112,b1=1,d=2n1,1+2,1+22,,,,1(1)2n20.1fxfx12fxfx12323xpxp123log233xpxp1232xpxplog*121212xpxpxpxppp12pp32log*1fxfx12pp32log112pp32log1xpfafb,ab1xp1,ap1,pb2ba212pp32log.112pp32log.111113,,3,,xppxxpbfxxap2323log222log223,,3,,xppxxpbfxxap1,xpb213log2102331,ppfxfx120,0fxfx12fxfx1fxfx=13xp2,xap123log2102331,ppfxfx120,0fxfx12fxfx2fxfx=23log23pxfafb231log233pabp123log2,bppa123log2abpp121221,xpp12fxfx231log233xppx123log22ppx1232log2,2ppxp12fxfx2fxfx=23log23xp1231log2,2ppxp12fxfx1fxfx=13pxfx,ab12312log22ppbpp=123log2222ppabbabb221pp32log.111113,,3,,xppxxpbfxxap2323log222log223,,3,,xppxxpbfxxap2,xpb213log2102331,ppfxfx120,0fxfx12fxfx2fxfx=23log23xp1,xap123log2102331,ppfxfx120,0fxfx12fxfx1fxfx=13pxfafb231log233bppa123log2abpp12,xpp12fxfx231log233pxxp123log22ppx1231log2,2ppxp12fxfx1fxfx=13xp1231log2,2ppxp12fxfx2fxfx=23log23pxfx,ab12321log22ppbpp=123log2222ppabbabbfx,ab2ba