海南省农垦实验中学2019-2020学年高三最后一模数学试题含解析【加15套高考模拟卷】

海南省农垦实验中学2019-2020学年高三最后一模数学试题52()13．22．．．k(x4)l:y(x2)y4A、,MMAB22B线3x4y60．5．4．3．2a}ad0a,a,a3”是“ad的“11n19.《》．...1().110100尺AB1CD(丈15)3.14，o．．．．）．．．．xy22abAFFAFab22）13312332．．．．△，．()．．．xy22F,F8E:abFE12ab222F41A）32．．．2．3ABCANNC，1334m）PBN．．．1．4rr343()52，a(2,1)b(1,k)，q(n)nk（）68．．．6．81anS,an4,S15）aan45nn120182019201820202019202020172019．．．．8xy2FFA、CBBC2BF．．．．）45ˆy,yxˆ1与yˆb．ABCbcosCcsinB0CP,P,...,P,P,...nN,aPn12n1nn2a(nN)nbP,PbSnnnn1nn项nS5．45x25yCxOyOx：（1C2：4cos3C求1C2CC1与2交2P0,1PMABAAM于，B，B.xOyOx2sin[0,2)CCCD线，3xtl:t2ytD（.fxfxx2eaxbxab2x2若xfxa12x12yC1xOyO（2mmR点C2，当4m4xC1C21C212C22.ABCDE是AD.2PABCD，PAPD2ABCDPAD2A60,:BEPADPABPBC.ABCD，，，AC与EFGEFABADAEFAEFAEFEF沿．EFDCB11AEF1AFAEB11AM1ACAC1FM∥AEB1M1参考答案5BBCDDBBCA、AC、C450.8、34、1256、、y25，Cxy4x30））Cx222212（Cρ＝x＝得C22212Ct2ty25.（Cx221xycosxy4x30xC.由，222222y2510与xy4x30ABxy.（x22222xtP0,12点ABAB（t2y1t2y4x30tt324，tt.12x2t23t40212tt1322，M22tt132ttttABtt2PM2221212123218443.2tcosx31,22））.y1siny11（Cx22.2sin（，0,2，2sin2．y11．Cx22xcosC().y1sin3xt（（yt2y50t3x．lC作：，得，D.CD，C作xD，，D.CDD,,D..e(,1))（）(,)2x1是fxfxx1eaxbf102ab0；（），x.fxx1ex2（fx0由由x1fx01x1fx0xfx1,,1x1eaxb（）fx，x1fx是f102ab0，xfxx1ex2a0x,1,fx0,fx在,1当ax,fx0,fx,1在1fx是x2a1ea0ln当22ax2a,fxfx在x2a,fxfx2a在x,fx0,fx1,在1fx是x当a,在e,,fx0,fxx22a1aeln当x,1,fx0,fx,1在x2a,fxfx2a在x2a,,fxfx,1在1fx是xe,2a）和(0,2)(2,0)将Cl.22l.12xQ（）圆C（.12y1y12.Cx22mmR.，2cosl4lxy40.241,1Q2.ld2lC.（Cl.2l.22y20lx.xy20x2x0，，x1y12y0y2222,00,2和故Cl22.10）5PEAD,ABCDPEABCDBDPADBEBEADPEvvPABnPBCm（BDPAPD2EAD，是PEAD，PADABCD，PEABCDPEBE，ABCD2A60oBEADBEPAD（E,EB,EP为.P0,0,3x,y,z，PC2,3,3，A1,0,0,B0,3,0,C2,3,0PA1,0,3,PB0,3,3，v3,1,1PAn0vvnvPBPABnPBCn0vvmnv10mvvmn为PABPBC.5.1.23AM1ACMFM∥A311GCGCAEF1A1AEFA11GE、GC、GG11=.AM=A（FM∥MFAEB0121111AM1AC.A121ABCDE，FABADBDEFPBD，AC.EFAC..GC，，AEF1AEFI1，GCAEF.1GC，A1AEF.1、、GA11G，G0,0,0222A00，E00F00则，，2221232B2，0，C0，0，222222AE,22，，221322.A1vnx,y,z，A122vxxz0AEn022则1v，n0EB22y022v1y1，z令x1n1,1,1.32nv,nv32=.vn3322333FA.1AM=AC（0111FM223222M+AC,2221111232,22,，2222v∥FMnFM=0.A1232221+=222=.即222221AM1AC∥.FMA1M212019-2020高考数学模拟试卷5，）．．C．D．cm3）256256256256．．．．y2Px1F、FPFF△241212MF()FF1FMM212．5．4．2．11000）AF4，y2，ACBl2px(p0)CB3BFp（）483．2．．3．4）log(x2)0“x1是“12xxx10““x0,x2x10”2000x|x|x4aa)在sinAsinBBA．2．0．1．3ggBDsinBCDsinC，2BD2DC22）33372．33．．．372，．（）．．4．2fx2sin2x）22ABCDAC，，作AMCN，8ABCD，垂B11111111D1ACD，N，）MP14346．．122．．a(e1)xyxa（y）(0,0)x．0．1．2．3fxsin2xfx在26,023121322．2．．．4531x,0x122fxx11,x1fx2x0为Rgx5fxa6fx6a02aR6a（。yfxfxf222xx0a．M3,24，FN1,1P在C:yax2a0PN1l:xy2PF．y2px2x2PPy=x+31fxxxx22（求.x22cosy2sinC1：C2（.xOyxy1CCx1，2OBOA40,(0)CC2l：A1，2，B，与.b0xy222xOy：1a.2Eab2223El：ykxE于,BEOC的C122kOCMC:AB2:3，eMMC，kk，M2412OS,OT是eMS,T求SOTl.2aan2n1n113aa1aa，aaan121nn1n1(1)an1b4baabT.T1()12nnn2，nn1n．n，H为M为．ⅢN参考答案5ADBCCCBAA、AC、B455(0,1){}U4、、、、98224.22，-lna，-lna，）（Ⅰ）当a1fxx0lnalna1x0fxx10a，12fxlna1lna1fxx1x1x11，．xx当），（（．（（（xx（＜，x＞（＜（．，，（＞0）xx．12（），，＜＞e当＜（＜或＞（．，，，＞＜＜e当＜（＜或＞（．，，、得.又..）4cos）4xcos,ysin（C.C12xcos,ysin.CC,C1OA,OB22OB4.OA2（Ccossin1sin.142Cx24x2y24x0，2y224cosC.21，AOB（，sinB，4OB4coscossin21cos2sin2222sin2∴OAOBOA24222sin24sin2∵，，442532442由0.24444.π2x2））SOTy1k.2l3122c2e，c2a,b.a2x2y22|AB|3ykx,21及圆r.MOC.rc2e，c2，a2ab1，x2E.y122Ax,y,Bx,y，1122x2y223ykx,21k2x4kx10得4，2211，2k1xx,xx12且1，2k122k11222111k18k221kxx2.AB2112k1112211k18k22322r为rM112k1212，4kk122k4k212x.OCy4k1x2y222yx,4k18k12x,y得，21214k14k221118k22xyOC.22114k1r1sin2r，1r18k21OC2而1r1k18k22221132k1213242，114k1k221112k令t则t，211，tr32t321311tt11122tt，22942t211t22t2k，211，22，26SOT.32SOTk.l321解答此类题目，利用a,b,c,e.2）a.n1n21111(1)aaaa2nn1n1n111bna;(2)T1．n由nn1nn1n2aan2n1(1)Qaa13aa1，n1aa，an121nn1n1211，aaann1n1a13aa1又，，1211131111,，，aa2aa2122111a2n1111n1n1，a22n2a.n1n124baa(2)Qb，，n1n1n111b，nn1nn1n111Tbbb111111．n1223nn1n12nT1.n故n1SaaSn和nnn1215NB15NMN.PA，PA，，，，．∵H为，．．；，，，（，11（，（M，，．22AHAB13，，，），（，=PM．22rx2y0rnrn（，则r（，，n=21yz0n设成角为，nr2＞=r215nsin=cos==则r4．61521515.．PNPBPB设，（，，∴PN，22．13，2，∴MNPNPM==222AP，，MNAP3∴=3-．4NB.2019-2020高考数学模拟试卷5xfa12x1fa且1fx则a1x1,1111,,02222．．．．6xlP(2,2)C，C：y2lMN）P1332145．．4．．x2y2：﹣a2b2，F为EP为EPE）352．．．2．．0）．1．2．3lnxln(2x)f(x)．f(x)，．f(x)y=fx)y=fx)．．xln(ax)f(x)x1()f(x)．[0,)((,0](0,2)．．．·；26.24）．0．2．1．3).aR,且在区间[0,f(x)f(loga)f(loga)2f(1),则a）21211,2．[1,2]22(0,2]．．．,B,C,DABBC2AC2，ABCDODC23ABCD）DA33323332．B．．．满足:aa2a,a14mn4aaa、aamnn765mn135362．．．ABCDABCD）1111．．．．）．．．．45ba2341aan（nN*nnn1nbnab1an．aaaaan1a1cosn2019SSn1，，n2019nnna33aCNBMBN．1为．yxz：（交于，为，为.MM80175M80270M75365M704M655级M[60,85]12.N(,)35.4，2x2M(59.85,77.7)在800kg/kg元/kg9/kg.元元这800kgXX.ZN(,)2PZ0.6827P2Z20.9545，35.45.95，.fxhxxhxfxx1gxax1ex，exafxgxaSCSD2BCSD，.ABCDAB22，BC1SCSADSECSBC2.ABCDABCDBAD60APD90PADPB.PADABCDADPBDPBC.ABCABCBCP,M1111AB1AB1ACNCC若PMP是177AB1PMNBP参考答案5CCBACDDCC、AD、D451236、、2、、、即由m.设则，P为以，M.，将、代入则=，..）（＜（）x＝＋＋＋M．＜－＜＜1＝－＜＜＋－＜＜＋＝，2，113（2，，52，Y113故＋，52＝＝e2,1e12xxex2hxxhxx0,10x00ahx1a0和a00Zhx10a1a1x，a11h22e2a.h112e1ax1hxex2xxhxexexxxex2设又x在R01e101，0,1x0x0x000x0,xx0xx,x当00hx,xx,在00xxhx为01afxgxxax1ahx1exafxgx001a110a0hx，aahx1Qh01h11，Z当x1afxgxhxa10ahxa1hh1011a1当0a0,111h22e2e2aa,1112e2h112ea111当aahx11hx当xZae2a,12e12.213）13（2，22（O，，-，2222v12平面SEC的法向量为n=(22,3,3)，23vm=(0,1,1)平面SBC的法向量为（，则又BC//AD则，SC2222SDIADD则O（于O.则，，-，2222设121222(2yy即y233,0),CB=(2,0,0)42SC=(0,2,-2),CE(2,-3vvn=(x,y,z),m=(a·=n0v2y2z=0,令z3y3，v·=0x23422xy=03vn=(22,3,3)vm=0b2c0b1c1，a0v0CBm=02avm=(0,1,1)rrcos<,n>=rgmn6313=13=|188g22131327（）.7（.（ADOOP，OB，BD，ABCDBAD60ADABBD．oADO为ADOB．1△APDAPD90，O为AD．o2PBaPOOAa，设AD则OB3a，OBPOOBaa4aPBOP．2222221△APDAPD90，O为AD．o2AOBOBO，△BOP△BOAPOBOA．，PBADAB，△BOP△BOPBOA90OPoOB．ADOOP，OPPAD，ADPAD，OBPAD．OBABCDPADABCD．OBOBPBB，POBOB，（ADPB，AD，PBPOB，AD．ADPOBPOOBADOB，OA，OB，OPPO以OOA,OB,OPxyzB0,3,0P0,0,1，2A1,0,0D，设AD，，PD1，PB0,3,1，BCAD2,0,0，nx,y,zPBD，111•xznny1x3z33,1,3．令n则11，•yz311111mx,y,zPBC，222•m2xy1x0，z3m0,1,3．则2令•yz3m22222为PBCD4277,n．2727PBCD．7.π、.42BP.2以ABACAA，1πPxyz，BPBA01，，4127ABPMN17121211222214以ABACAA1A000B200C020A002M0．则，，，，1（PAB1则，，．又．．．（．设则，，，，．则，，，取．．由．．（指rnABl.2019-2020高考数学模拟试卷52accosCABC,B,Ca,b,c,b4,则bcosB）43233．(．．2．)．．．）．5．6．7．81．．．．32,1xax2，xR3,fx2和a（）11,36,4．．．34,322．10l8xCC：y2l于，ABFAB）2553545543．55．．．B11e、e（）ee1222213252．．2．．3．．．D．，，，，）．．．．3．V,B,Ca,b,cV(acb)，2224则b）4333．2．．3．1(x)x1a（(x)xx11fxe，g3eea）112,e40,2[e4,)0,3433e．e3．．e3．，D和ADMu．2．21212．．45a1a(nN)aa...a1a*a2n12n123nlog(aa...a)2fx2lnx?l:2－y60）PPl线．0x2y20xyzxy20,yxa21SnSnann．ann与，H为.332.1a,n,4*b}a}aN,aR,a2（n1nnn2aa,,n122ban。22n1a,a,a；123⑵证明：数列b}nb}na△CC△△Sfxfxx2eaxbxab2x2若xfxaABCCbcBCA，，a，，D为BacosBbccosA求ABC.AD1A，a,anN1aaaaa*21yx1上求2，3，4nnn1a.n参考答案5AACABCBBB、AB、D45、855、12、、2n1.3）.2（；（＝＝⊥△＝，得V＝VF﹣C﹣Q（ABCDBDAC，Q又面ACFE面ABCDAC，BDABCD，Q面ABCD面ACFE，BD面ACFE，QCHACFE，面BDCH．3FCG，CHGF，（CGCF3，CH2GCFGF3，，ACFE面，QBDACFEGF面，BDGF，11S233，22QCHBDCHGFBDGFG又，，，，GFBDBDF，CHBDF，1133VV·SCH3．FC33221214aaa2）a，，aa；（.131,2,3（n和abbnnn1bb1i,aj,akan1naik2jjikik2j0ik2j0a.211a2aaaa22111111aaa，a2aaa442213212a2aa⑵bn22n122n1111ban12aa2aa2aa124222n2122n122n22n1322aa12aa422n122n1bb1baan1n13ba1nban1nai,aj,akjijki、、kk2jjik2aiaiakaj2若ik2j0ik0ijkijkj2j2ik若ik2j0aik2jQija、、k.（）312（3S6，即），1而）＞，2又，．3113△=，2326a）（222而ababab或ab．若ab，b△33若abR．63△S（）=．26.e(,1))（）(,)2x1fx是f10fxx1eaxb2ab0；（）x，.fxx1e2（xfx0x1由由fx0x1fx0x1fx1,,1x1exaxb，（）fx1fx是f102ab0，xfxx1e2ax0x,1,fx0,fx,1在当ax,fx0,fx,1在1fx是x2a1ea0ln当22ax2a,fxfx在x2a,fxfx2a在x,fx0,fx1,在1fx是x当a,在e,,fx0,fxx22a1aeln当x,1,fx0,fx,1在x2a,fxfx2a在x2a,,fxfx,1在1fx是xe,2a）A）33A0,1（cosA2124cbbc4入223.sinAcosBsinB2sinCcosA（sinAcosBcosAsinBsinABsinC2sinCcosA12QC0,sinC0AQA0,A312QDBC为（）2422AD1224cbbcbc422223cb113cSbcsinA43bABC222ABC3.3,a7,a15a;a21.n234nnNa,ay2x1a与aaaa，，*n1nn1234nnNa,ay2x1上*nn1a2a1，n1na11，故a2113，2a23173，a271154，21.anna21111n1nkkkNa21k2ka2a1221121nk1k1kk1k21.由，a12nn2019-2020高考数学模拟试卷5x2x,x0{afafa0fxa）3x,x0()()+?,1,22,．(2x2．．．．．C．．3x2)(x1)aaxLaxaaaa()570170246，ABCABACBACAHBC，H为MAHAMABAC（）6753．19．．．7mmmmmAF3BFAB(6x知Fy2Fl与CB)．6．8．．A，AC4，BC2343233．．4．．ABCABCABC外ABC14111111）．123．8364．．fx1x2gxcosxsinxgxfx364f'xf'x）．．．．f(x)yf(x)yyf(x),则()CD8）．9．．．x2y2C：a2b2AFA1(a0,b0)FF交CM，NNC）AM435323．．．．aR“cos20是“）45rrrrbarraba1,3b3,m，且在与x2t2tyxOy点M(2,0)，P为上CCtPM42VPOM．Sa2n3，则数列a}a．记数列a}nnnnnnSnxacosysinxOyCx(轴2sin,42llCa数fxfxx2eaxbxab2x2若xfxa120AD80AD,BC为ABCD,ABOOBC,CD,DAABCD12AB¶¶¶¶AEFBEFE,F,BC上OO200EF//ABEFAB元元米.400和12若EF80E.，，，，，.岁[30,35)[35,40)[40,45)[45,50)，[50,55)[55,60].a3.E)3.1cosxysinCxOy1（x2C:y12CC32O、xOT：12(CCAB6A与B12226x2y2P,ab33F(1,0)Cab2CC：2在上yxmyAMMl：CBM.参考答案5DBACBCDAA、DC、B45π6、.23、3na2n2、12、e（）(,)(,1))2x1fx是f10fxx1eaxb2ab0；（），x.fxx1e2（xfx0x1由由fx0x1fx0x1fx1,,1x1eaxb，（）fxx1fx是f102ab0，xfxx1e2ax0x,1,fx0,fx,1在当ax,fx0,fx,1在1fx是x2a1ea0ln当22ax2a,fxfx在x2a,fxfx2a在x,fx0,fx1,在1fx是x当a,在e,,fx0,fxx22a1aeln当x,1,fx0,fx,1在x2a,fxfx2a在x2a,,fxfx,1在fxx1是e,a23AOE为.）313与AOOB（EFABCDM,N12AOE,0,»»OOFE1OAE1OFB2AEBF402211600032sinEF12080sinf3fE即，31EFABCDM,NOE,OF与ME20OM203（1211233OOFE12120404800AOOB211EOAE1OFB由62263133»»AOE,0,（AEBF40，21，120240sin12080sinEF，f2008040012080sin1600032sin1600012cos，ff0令，3当f,f0,,3f-0ff，E313AOE31为、n.（，，；（，.n.30.036p）a（a.1.，0.024520.035a520.0451，0.036.得a（0.045200400.035200300.03520030433.CCC31411p；3C331010②，，，CC103P0，4C36610CC121P1，6C34210CC321P2，4C361010CC130P3，4C363010012316131P21131E0123.62.2cos22cos132.、,CC22123x1cos（x2y2x0CC、2ysin12CC(3,|OB|（）、的极坐标方程可得|OA|261212.x1cos（得x1y1xy2x0，2222ysin22cos；C2cos01x2cos2322y1C1由得22322cos1得||3，（662cos22sin1232得|OB|，2632AB..cossinyx和和.xy22）1431489ab1abcb1;2y轴c222222Bx,yM0,tVMAx,y，ABM，1122Nx,yNMNlmAMBM，00M1226P,c1在C33489ab1，22又abcb1，2222a4，b3，22xy22C，1432yM0,tV，ABMMNx,y，Ax,yBx,y设，112200xy221由43y7x8mx4m120，22yxmV64m4mm0m7，22224m28mxx，xx，771212xx14mmx2yxm，，2770004m3mN,，77lBMMN，AM，mt7ml由MN由AM11t，4m707ytyt121，BMxx12Qyxmyxm，，11222xx2mtxx(mt)0，2121224m1228m8m则，()()0227773m，33M当m3Mm3772019-2020高考数学模拟试卷513.7512403．50步．2060步C．3040步D．80步701ca}1b}a，a，abbb2n2n2nnn22nnc}nnTnnN列）*11．6．312．．rnMODm419MOD5nmrn是()47．19．22．27．AIB．1．2．3．4在盈）1514．．．1312．．．个．．－＋－3对∈a(．，．－．．)sin2xfx，0,gxgx是12tan（）6333333．．．．fx02xxm（mxfxxR2fx12式）1,10,22,2．．．．奖））．．．．x2．．．．45C1x1y2122P11,1，1作A.记1CP222作2PC2A,B3111APB.记2CP3na|AA|nSnn1a3222nS5n0nnn．ABCD,BC6ABCBCDBCD，x210y．CC7C7LC7nN*n1n2n32nnn1．ABC中,B,CasinCccosAc.求Abc10，a,b,cABC63a.元)件)89nxynxyiib,aybxi1n66xnxy480xy4066$22yiiii＋，，，i1i1i166x434.22y386942ii，i1i14元)xy22:1ab0abF)22AxF轴S2△FOASCOB2lCm于B、x2MN1于、.ABCABC，AB2,AC4,BAC120,D为BC的PPA1ADPB;2APBCPABC45.，，项.a,b,cABC,B,Ca10Bc4asinBbcosAsinBABCb参考答案5BCCBBCBDA、AD、D45、552、、、2517n））27.33sinAsinCsinCcosAsinC3sinAcosA11324bc63bcbcsinA.24（3asinCccosAc,sinCcosAsinC,得3sinAsinCC03sinAcosA1，1A0,AsinA.62313（bcsinAbc63bc24，24bcbccosAbc及bc10，a2222a28a27.2.aba22及b、.$）y20x250x,y（b,a.＝x＋x＋x＋x＋x＝，＝＋y＋yy＋yy＝123456123456nxyib,ayii1nx22ii1＝－b＋＝L＝－＋－－＋－1＋2＝L(x,y).MFx22）y1）2NF22b2ab（2、abaxx02yy1（xymN000x与y00c112a2b1bc2(ab0,ac0)（1b222acc1abc222x2y122xx02Px,yy0yy1（则m:00002x2x1y得令x0即M1,02y2y001x1xyx2得N2,令∴0即0y0y020220220MFNF200x20241x4y41x412221x2021022000y04．）VP（为BC12，DPA（为xyz＝1＝△ABC3（VABCBC41622428BC27．2D为BCBDCD7．11122222441442243AD3．ABAD437BDABAD．222PAADPABADPB．PAADABC（AB，AD，AP为xyzD0,3,0B2,0,0，P0,0,aBP2,0,aa设PA，2,3,0，．mBD02x3y02x0x,y,zBP0PBCm，m23a233y2，zm．取xanPABmn22则cosm,ncos45．mn22222a12PAa23．1227a2111S24234．32VP3V）（；（.，又1.（，又（），①故..3、Ⅰ)BⅡ).b6253sinAB4sinB3sinA，结合A0Ⅰ4sinBB0B得3cosBⅡ由ⅠccosBb4BAABC、Ⅰ)由c3sinAB4sinB3sinA，03cosB4sinBA又B，0，35sinB．3Ⅱ由Ⅰ知sinB，5又VABCa10，1310cc14，25B340BsinBcosB，35542b2．b622252019-2020高考数学模拟试卷5x34x21mxm2m:0，:qx20是qmpp2x）2,12,00,12,10,1．．．．幂14）1113633122．．．．x0,．若12x2，tan2）xx23333,33,0,333．．．D．0ysin2xsin2x）y42．6．．3．.）CD6x，y＝，，iilxa3yblbDxy22abx2y222ab22）2322．．2．．x3fxfxxfx2mmx202m00（）,66,．．．,44,,22,,1．M0,1A，l:22yk302l:3xy615BM，ACBD）CD521521．52．102．．xOy45若OPxeyee,exOyP010212yF1,0F，x,yx若P0012Mx,yM()12x2y0x2y02xy02xy0．．．．2．“a1是f(x)lga的()21x（（x）2242．2．．4．45.2px(p0)xxy2．ABCABC11140，ABACAABAC120o1,2nn，nNaSS2annn求n．n(x2y)(xy)5xy24．3CA、、B、CDBDE、、共8、、3%、7%、16%、24%、24%、16%、7%、3%[91,100][81,90]AE至、、[71,80][61,70][51,60][41,50][31,40][21,30]、、、、、N(60,169)(47,86)[61,80]XX33ABCD，，EFBCABCDEFAD60MABA，MFA，D，EBO．MO若为ABOD//EMCAMOMFCECDEFx1xm4f(x)2xm2x1mf(x)的解集为[m]求f(x)a1x2a.cC角A2,B2,44Ox轴OA，，BMN2sin1a0(a0)N22aM.a2bad3Sn1nnn1cn2S12nNcbnnaannT记n1.nnnn参考答案5DBCDCAACA、DB、C45y24x、、224,1na1,n2n4n、、.2047,8647,6060,86和47,8623,2XB5X5N2，(4786)P(4760)P(6086)P11PP2222220.818．，20000.818163621．52B3,XX，532730PX，512523542PX1C，155125323362PX2C，255125323PX38．5125X0123268PEX3．55（（）83（交EAODF交CE于N，利用平面几何知识得DO//MN交O，EAQMAB为，为MOFAE//BFAOE又，为AB//EFDF交CE于NN为FD，DO//MNEMC，DO//又EMC，MNEMC；CF,EFBF,CFIBFF（EFEFEF，CFBEFBC为DEACFB60与CFBBF，CHCHCHEF由EFCFBCFB得CHBFHQ,，14t472MFB,t,t设27．2过O作于TEFCDEFOCDEF7OAAMOA2QOA14,OE16OEEFOA24π833点CDEF83．O.,5）a（mfx2x32x1a1yfxya1有2程2m1，1xmxmm11时,有x，当x1xm4[m]，m14，即m3，14x2,x213fx2x32x14,x；22324x2,xf(x)fx2x32x1a21fx1ya2y由(1)a214,a5或a5，aa(,U()..yf(x)g(x)yf(x)g(x)x在f(x)g(x)0yf(x)yg(x)与.））（（（△，:，．即得．．（及，．，．△，.1)y1）(x）或21a.21a22（,B（的NMa.1)O(0,0)(1,1)(1,，ABM(1,0)，1)y1M(x.22cosysin（x，NN(y1)aN(0,1)xy2y1a0x2a，以圆MN2122222圆MN圆MNa122aa1.212a或21a.21a.1nn、nb2n22n（a}nc}nnSSbSb}n2b（）n，nnn111a2,d31aan1d23n1n5（，n111111cn则，aann5n23n5n2n111111111nTn11L；n5n232n22n2324112n112S1n,S1n2，（2Snn2nn1n1111111n1n2，SS则b22nnn12n122n122n1n111,bS1当n221111nbb．n2n1{}b}ab}aaann1bnnnab}nn2019-2020高考数学模拟试卷5xy221FbF()ab22CD4axf(2m1)f(m2)0mf(x)）2xm1m1>1m1．m．．．：（）．．．．a）2．34．5．．0fxRxfxexx1x0fxfx0fxex1x0x,xR；④，；有.BCD212fxfx2.12ABCAC1BC与ABC的所有棱长都相等，M为AM11111()356434．．．D．ABCDP）P．．65．．）341415．．．．，（）．．．4．2．．．．x3,i1,2,3xx0，x,fx,i2212x22xx0xx0fxfxfx(，)2313123πuuAPABB（，R3，P）ABCD2312113132．．．．45．f(x)sin(2x)(0)6g(x)．（，BO，．A0,22P作y4xPQyQ2P．的1日xy5y|r|0.75y与（与rx.yxx.r与y1.382x2.7743x.n(xx)(yy)iiri1，nn(xx)2(yy)2iii1i15(xx)(yy)69.10iii15n(xx)2(yy)782ii.i1i11xxx,aRfx.221fxa若3xx2a122fxxexxxxx22若1与221.12f(x)x22当a2f(x)2x1f(x)x2x(0,2).af(x)4f(x)|x2a||2xa|g(x)2x3，a1ax[2f(x)g(x)0<a<3a面.，？为参考答案5CCCCDDAAA、CC、A45、6、、、2）iiix)yyn(x1iriii1r0.75n(xx)2n(yy)2i1ii1iii2$y1.382x2.77425xx1i55n(xx)yy69.10(xx)(yy)78，由，22iiiii1i1i1(xx)yynriii1；(xx)2(yy)2nni1ii1ir0.75y与xii$与yxy1.382x2.774，x20.10，$由y1.382x2.77425300x6030，21552987，x甲15x5，乙1505[(57)(27)(97)(87)117)，s222222甲51139.285[(2.26.9)(2.36.9)(106.9)(56.9)156.9)，s222222乙5R,.1）aexfx01fxa3xxxlnxxfxxxxex0与2a1（2xx12212212x12xfx0fx02axx3xx，222axx122xx12121121xx1t1txt1thttaxxlntaxlnxaxlnx，，212x1xx1t12112212.fx0,fxxaxxax0于xa.xxx1gx，令gxxx2fxxfx与xe-0+gx↘↗1gx.e1aefxxex0与，（xx12213xx2a21.xx22212axx3xx.2221212axx3xxxx.22212112x12xaxx.122xx121fx0fx0axlnxaxlnx，，，，121122xaxxlnxlnxln，2x12211x2x1x11xxx2xaxx12xx122121x1xx1t1txtaxxlnt2e令2t，1xxx121121tt1t2ht0设ht，t1t1t2在,ht1t1t1e221ththe1.1e1e1323xx2a21.xx2212型.1,3.5x1）x|x）或（＝226a（a.xxx4,x2fxx22x23x,2x1（＝2，x4,x1当2－＋；＜＜1＋∈；当＋＝．－5或＝．（，2－＜，26a，xx26a在xx2613，，xxa，．1x）6)7）x|（a（1fxfxgxax,1x2a3a2a,1a.2fx41x22x14，（ax22x14112x1x；2x22x1411x2x1；2222214xxxx|1x．fx4ax,1fxx2a2xa，（2fxgxx2a3aQ0a33a0aa3x2a3aa3x3ax,12a673aa．，2.（（（（（xaa0axaxaa0xxaaxbcc0caxbcaxbcc0axbaxbcfxgxgxfxgxfxgxfxgxfxgxafxbba0afx或bfxa（M.（（为与为.（又为,,,,,（为与为则，，，，,令，则，由得,令得,又,,M..），（，.，，，.当（且.....2019-2020高考数学模拟试卷5．．P．．1602xx件30xCx（）20x3020x45．15x30．15x45．．N(1,1)10000个X）ABCD)0.6826P(2:N(,)P(XX2)0.9544X2，.60386587．70287539．．．1xxf(x)．）f(x)2．．．aaaa55S3a5aa，）n35793．9．7．6．52xy302y40x，yxzaxby(a0,b0)y111ab）．726．722．326．322a，）anSS12aS24aS（nn354759．．．．sinx3cosx0fxfx的2gxgx()x6,x4222gx,3,263D和MADu．．221212．．xaafxgxfxa13，gxx24x3）15UU．,,．,,2282821515313313UU,,,,22282228．．fxlogx0a且a1xb,2agxxb）a．．．fx．xcosx(x且x0)()22．．．．45ABCa:b:c4:5:6tanArrabr530rrrr(ab)(ab)rraba2，，与．X:N(1,)P(0X1)0.3P(X．14C57305730,14C设14Caexbbbxkaa为:,14C76.7%log0.7670.42）xty4txOyl（t4cosxCl厔(,)(0,02)lC．年1d3613313ABCDDOABCDOABCDE11111DOODCDEE若为E11CDOCDE1EbsinBcbsinCasinAAB