2016年河南高考文科数学试题文档版(含答案)

20161.()().1335.2..3..4...125.1{1,3,5,7}A{|25}BxxABA{1,3}B{3,5}C{5,7}D{1,7}2(12i)(i)aaa=A3B2C2D33422A13B12C23D564ABCABCabc.5a2c2cos3Ab=A2B3C2D35ll14A13B12C23D346y=2sin(2x+6)14Ay=2sin(2x+4)By=2sin(2x+3)Cy=2sin(2x4)Dy=2sin(2x3)7..283A17B18C20D288ab00c1AlogaclogbcBlogcalogcbCacbcDcacb9y=2x2e|x|[2,2]ABCD100,1,xyn=1,,xyn=n+1x,yx2+y236x=x+n-12y=nyx,y,nA2yxB3yxC4yxD5yx11ABCDA1B1C1D1A,11//CBD,ABCDm11ABBAnmnA32B22C33D13121()sin2sin3fxx-xax,aA1,1B11,3C11,33D11,3II.(13)~(21).(22)~(24).3513a=(xx+1)b=(12)abx=___________14sin(+4)=35tan(4)=___________.15y=x+2aCx2+y2-2ay-2=0ABC_________16ABA1.5kg1kg5B0.5kg0.3kg3A2100B900.150kg90kg600AB__________..17.12na3nb12111==3nnnnbbabbnb1.InaIInbn.18.12P-ABCPA=6PABCDDPABEPEABG.&PABDCGEIGABII18EPACFPDEF19121.200.500.1001617181920210610162024x1y1n.In=19yxII&n0.5nIII100192010011920&2012xOyl:y=t(t0)yMC22(0)ypxpPMPNONCH.IOHONIIHMHC.2112.(I)(II)a.222324,,,22104-1OABAOB=120.OOA.(I)ABO(II)C,DOA,B,C,DABCD.ODCBA231044xOyC1ta0xC2=4cos.IC1C1IIC3=00tan0=2C1C2C3a.241045f(x)=x+1-2x-3.&I24y=f(x)IIf(x)12016125.1B(2)A3C4D5B6D7A8B9D10C11A12CII35.1323144315416216000.17I1221121,1,,3abbbbb1221121,1,,3abbbbb12ana2331nan.&III11nnnnabbnb13nnbbnb113.nbnnS111()313.122313nnnS18IPABCD.ABPDDPABE.ABDEABPED.ABPGPAPBGAB.IIPABEPBPAFFEPAC.PBPAPBPC//EFPB,EFPC,EFPACFEPAC.&CGPABCDDABC.IGABDCG2.3CDCGPCPABDEPAB//DEPC21,.33PEPGDEPC6PA2,22.DEPEEFP2.EFPFPDEF114222.323V19Ix19x.19IIIII9n=2019x3800y19x5700500)19(5003800xxyyx)(,19,5700500,19,3800Nxxxxy.180.46190.7n19.191007038002043001048001004050)104500904000(1001.119.20),0(tM),2(2tptP.NMP),(2tptNONxtpypxy220222xtpx01xptx222)2,2(2tptH.NOH2||||ONOH.MHCH.MHxtpty2)(2typtx.pxy2204422ttyytyy221MHCHMHC.21(I)'12112.xxfxxeaxxea(i)0a,1x'0fx1,x'0fx.,11,.&(ii)0a'0fxx=1x=ln(-2a).2ea'1xfxxeefx,.2ealn(-2a)1,,ln21,xa'0fxln2,1xa'0fxfx,ln2,1,aln2,1a.2ea21lna,1ln2,xa'0fx1,ln2xa'0fxfx,1,ln2,a1,ln2a.(II)(i)0a(I)fx,11,.12fefabb0ln22ba23321022afbbababbfx.(ii)a=02xfxxefx.(iii)a02ea(I)fx1,.1xfx0fx2ea(I)fx1,ln2aln2,a.1xfx0fx.a0,.22EABOE,120OAOBAOBOEAB60AOERtAOE12OEAOOABOABOEO'DCOBA2OAODO,,,ABCD'O,,,ABCD'OO&OAB'OAB'OOAB'OOCD//ABCD23cos1sinxatyatt2221xya1C01a222210xyya222sinxyy222sin10a1C24cosC22224coscosxyx224xyx2224xy3C2yx1C2C3C24210xya3C210a1a244133212342xxfxxxxx1fx1x41x5x3x1x312x321x1x13x113x312x32x41x5x3x332x5x13x13x5x1fx11353