2020年高考数学山东卷试题+答案详解

20201,4202012...38540.1.A={x|1x3},B={x|2x4},AB=A.{x|2x3}B.{x|2x3}C.{x|1x4}D.{x|1x4}2.2i12iA.1B.-1C.iD.-i3.61123A.120B.90C.60D.304.(O)AOAAAOA.AA40AA.20B.40C.50D.905.96%60%82%A.62%B.56%C.46%D.42%6.R0T..(e)rtItI(t)t(:)rR0TR0=1+rT.R0=3.28T=6.1(ln20.69)A.1.2B.1.8C.2.5D.3.57.P2ABCDEFAPAB20202,4A.()2,6B.(6,2)C.(2,4)D.(4,6)8.Rf(x)(,0)f(2)=0(10)xfxxA.[)1,1][3,B.3,1][,[01]C.[1,0][1,)D.[1,0][1,3]4520..5039.22:1Cmxny.A.mn0CyB.m=n0CnC.mn0CmyxnD.m=0n0C10.y=sin(+)sin(+)=A.sin(3xB.sin(2)3xC.cos(26xD.5cos(2)6x11.a0b0a+b=1A.2212abB.122abC.22loglog2abD.2ab12..X1,2,,n1()0(1,2,,),1niiiPXipinpX21()logniiiHXpp.A.n=1H(X)=0B.n=2H(X)1pC.1(1,2,,)ipinnH(X)nD.n=2mY1,2,,m21()(1,2,,)jmjPYjppjmH(X)H(Y)452013.3Cy2=4xCABAB=________14.{2n1}{3n2}{an}{an}n________20203,415.OABAABAGBABBCDEFGBCDGCtanODC=35BHDGEF=12cmDE=2cmADEEF7cm1cm________cm216.ABCDA1B1C1D12BAD=601D5BCC1B1________67017.3acsin3cA3cbcABC,,ABC,,abcsin3sinAB=6C________?18.1{}na24320,8aaa1{}na2mb{}na*(0,]()mmN{}mb100100S19.100PM2.52SO3g/m2SOPM2.5[0,50](50,150](150,475][0,35]32184(35,75]6812(75,115]37101PM2.5752SO15020204,42222SOPM2.5[0,150](150,475][0,75](75,115]3299%PM2.52SO22()()()()()nadbcKabcdacbd2()PKk0.0500.0100.001k3.8416.63510.82820.P-ABCDPDABCDPADPBCl1lPDC2PD=AD=1QlPBQCD21.1()elnlnxfxaxa1aey=fx1f12fxa22.C22221(0)xyabab22A211C2MNCAMANADMNDQ|DQ|20201,111.[1,3](2,4)[1,4)ABUU,C.2.2(2)(12)512(12)(12)5iiiiiiii,D.3.6116C5225C3126561060CC.C4.CDlAOAlABm,//mCD,ABm..40,//AOCmCD40OAGAOC90OAGGAEBAEGAE40BAEOAGA40BAE.B.5.ABABAB()0.6PA()0.82PB0.96PAB()PAB()()()PAPBPAB0.60.820.960.4646%.C.6.03.28R,6T,01RrT3.2810.386r,0.38rttItee11t10.38()0.382tttee10.382te10.38ln2t1ln20.691.80.380.38t.B.20202,117.AB2APAB(1,3)APABABAPABAPAB()2,6A.8.R()fx(,0),(2)0f()fx(0,),(2)0f,(0)0f(,2)(0,2)x()0fx(2,0)(2,)x()0fx(10)xfx021012xxx001212xxx0x10x13x(10)xfxx[1,0][1,3]D.9.ACDA0mn221mxny22111xymn0mn11mnCyAB0mn221mxny221xynCnnBC0mn221mxny22111xymnC220mxnymyxnCD0,0mn221mxny21ynnynCxDACD20203,1110BC22362T222TA,2536212x1y5322122kkZ223kkZ2sin22sin2cos2sin236263yxkxxx.5cos2cos(2)66xx.BC.11ABDA222221221abaaaa21211222a12abAB211aba11222abBC2222221logloglogloglog224ababab12abCD21212ababab2ab12abDABD.12ACA,1n,11,1ip21log10HXB2n,1,2i,211pp121121Xlog1log1Hpppp114p221133loglog4444HX13p4223311loglog4444HXBC11,2,,ipinn222111logloglogHXnnnnnHXnC20204,11D2nmY1,2,,m21jmjPYjpp1,2,,jm2222111loglogmmiiiiiiHXpppp122221222122121111loglogloglogmmmmpppppppp.HY12222121222111loglogmmmmpppppppp1211logmmmmpppp12221222111loglogmmpppppp212222211211loglogmmmmpppppp01,2,,2ipim2111iimippp222111loglogiimippp222111loglogiiiimipppppHXHY.AC1316324yxF(1,0)FABF3AB3(1)yxy231030xx121,33xx212116||1||13|3|33ABkxx100366401122(,),(,)AxyBxy12103xx,,AB1x,CD12||||||||||11ABAFBFACBDxx1216+2=3xx163.14232nn21n1220205,1132n13na1nan2(1)16322nnnnn232nn.15542OBOAr7AMAN12EF5NF5AP,45AGP//BHDG45AHOAGABAOAAGOAHOQD252OQr272DQr3tan5OQODCDQ3252212522rr22rOAH11222242SAOB221322324S1215422SS.542.1622.11BCE1BBF1CCGBAD601111ABCDABCD2111DBC1DE3111DEBC20206,111111ABCDABCD1BB1111DCBA111BBBC1111BBBCB1DE11BCCBP11BCCB1DEEP513DE2211||||||532EPDPDE11BCCBE2||||2EFEG11BCCBEFGFG114BEFCEG2FEG2222FG.22.17sin3sinAB=3ab3,0ambmm22222232cos3232cababCmmmmmcm.2333acmmm1m1cm.222222231cos222bcammmAbcm213sin122A3sin32cAm23cm.1cmbmcb3cb3,,6sinAsinBCBAC,3sin3sin6sinAACA,313sin3322sinAACsinAcosA20207,113sinAcosA,3tanA,23A,6BC,3ac,33abc,233c,c=1;3csinA,332c,23c;,3cb1812nna2100480S.1na11aq31121208aqaqaq12,2aq1132,2aq()2nnana2nna.2123456722,24,28,216,232,264,21281b0,110b23,bb0,2,0,3231bb214567,,,bbbb0,4,0,5,0,6,0,745672bbbb2228915,,,bbb0,8,0,9,,0,1589153bbb323161731,,,bbb0,16,0,17,,0,311617314bbb424323363,,,bbb0,32,0,33,,0,633233635bbb5256465100,,,bbb0,64,0,65,,0,10064651006bbb376.23451001222324252637480S.1910.642311002.5PM752SO150326188642.5PM752SO150640.6410022220208,112SO2.5PM0,150150,4750,7564168075,1151010207426100322222()100(64101610)()()()()80207426nadbcKabcdacbd36007.48446.63548199%2.5PM2SO201263.1ABCD//ADBCADPBCBCPBC//ADPBCADPADPADPBCl//ADlPABCDABCDADDClDCPDABCDADPDlPDCDPDDlPDC2Dxyz1PDAD(0,0,0),(0,1,0),(1,0,0),(0,0,1),(1,1,0)DCAPB(,0,1)Qm(0,1,0),(,0,1),(1,1,1)DCDQmPBQCD(,,)nxyz00DCnDQn00ymxz1xzmQCD(1,0,)nm210cos,31nPBmnPBnPBm20209,112|1||cos,|31mnPBmruur2231231mmm223232||361111313133mmmm1mPBQCD63.21121e2[1,)1()ln1xfxexQ1()xfxex(1)1kfe.(1)1feQ(1,1+e),f(x)(1,f(1)1(1)(1)yeex,12yex,2(0,2),(,0)1e,1222||=211ee;21()lnlnxfxaexaQ,11()xfxaex0a.()()gxfx,121()0,xgxaexg(x)(0,)()fx(0,)1a()01f,11minfxf,1fx1a11a111ae111()(1)(1)(1)0affaeaa,00x01001()0xfxaex0(0,)xx()0fx0(,)xx()0fx0101xaex00ln1lnaxx01min00()()lnlnxfxfxaexa000011ln1ln2ln122ln1axaaxaxx1,1,fx1fx01a(1)ln1,faaa(1)1,()1ffx202010,11a[1,+).111xlnaxfxaelnxlnaelnxlna11lnaxlnxelnaxlnxxelnx,xgxex,1glnaxglnx,gx1lnaxlnx1lnalnxx1hxlnxx,111xhxxx0,1h(x)0,h(x)(1,+)h(x)0,h(x)10maxhxh,01lnaaa[1,+).22122163xy2(1)2222232411caababc2226,3abc22163xy.(2)1122,,,MxyNxy.AMAN0AMAN121222110xxyy,MNykxm,1.y22212k4260xkmxm,2121222426,1212kmmxxxxkk1122,ykxmykxm,221212k1x2140xkmkxxm202011,1122222264k121401212mkmkmkmkk231210kmkm,2,1AMN210km23101kmkMN2133ykx21,33E.MN11,Nxy,