百師聯(lián)盟(山東省新高考卷)2021-2022學(xué)年高三下學(xué)期開年摸底聯(lián)考數(shù)學(xué)試題(含答案解析)

百師聯(lián)盟（山東省新高考卷）2021-2022學(xué)年高三下學(xué)期開年摸底聯(lián)考數(shù)學(xué)試題2xR2,，4（AB）AyyBxxx2．2,00,2．0,2．．1i2iz（zzi1）2．．2220a1“l(fā)oglogyx“a）axyaaD13ln3bf2，xx2af，cfefx52e．．cba．cab．a(chǎn)cbabc2：10：ya11BOxyxa212212．．．．22P34E為與3P）2．．2332．316D．3545415頁(yè)pxp220：：與CByy22x2pB，32ABAABB1p111（434552．．4logx1,2,xfx223,x2,x．fx為R．fx，且12xx00fmD．fxR5m對(duì)，x，．xy180）和xy901φygxAxA0,2ωxfxf1xfx1f1f30，xR．．．．22a285，1anNaaann246n1n25頁(yè)an．99a1nSn．當(dāng)數(shù)列aaanNnn或nn1n23cos20,，cos．524l，l125l，l2121．PABCPAAB，，24與PBACesin2x2cosxfxx,fxafx(efx0000ann*an，12nNSaSSnn1nn135頁(yè)an設(shè)bn211abn．TnnnnC，2abcBaC.6；E2.0q.p0p1，乙、丙晉級(jí)的概率均為qqp，；1若0時(shí)的概率和3p2.EABCDABCDAADDAADD111111111，ABCD∥，ABADAACD，，，，BCABCDDABMEAD11221.ME∥DCCD；11求BBCC.AE113x22y22C：ab10l2abx3y.232Cn0：ynkmC，BAO線，，OAOBABOAB.45頁(yè)1fxaaxaae0，2.gxxxxfxgx0,f0ga的(1,(1))若x0，fxgxa.55頁(yè)DABBxx24x|2x2，2x202224xxx又Ayyx2,xRAB.DB.z1i2i,iz,1iz1i2．1iBA,yx.由，logxlogyyx0，.yx0a1aaxyaaAD1頁(yè)fx.fx0,1，121121ln30log2log5，1flog2．a(chǎn)cbff5ee55DA2lCOAOBOCCAOCCB1lOC2.OC,1a圓CCaa1a10lC，2OBOCCAOCCBOCCAOCCAOC1，OA122當(dāng)lOCOC2122121OAOB．OC22AAOEPD∥CEO2xx23與cosCEOxCEO3P.2頁(yè)，//PDCEO與則2xx2設(shè)x，OCBDO，，ABCDPBD，3，cosCEO，CE2OE2OC8，x282x233xcosCEO，x232x822，POPD2OD212所以V4422．33PABCDC.在54CC92524CB3頁(yè)l.p,0：y22pxp0Fp.x22py22xl.：y22x2p2,yBx,ylCy45設(shè)Ax，pxp0，x221122145xxp，.pxx122412pp229又B，ABxxAABBpx1xp241211223322127216ABhp232hABpS24p．3Bfx21，f31f.fx4頁(yè)21f，f31A10f,2fx，fx在，x0f20Bm1533C2231xxm20,3,13,：fxDxy180；xy180181848487xy9396969990ABxy9010x，y93C2x2yxy1802x90y9090xyx902y90202D1Ax1xfx1xR，ffx為fx2x1f30f25頁(yè)1φgxxA0,ωA2x1fxyfxAx2x1xfx1ftft對(duì)，fxR，tR故fx，，kZk2又0，所以，21故fxAx2x1f1Acos0，，kkZ21f3Acos30，，kZk2和，．222n1a1a2naSnnnnab0，b30b30，495051nbb0b前nnn5051n1an1a，nn1n1n21an1a2aaanan1nn2n1n1n2nnAn1aB1，由等差數(shù)列的性質(zhì)知aaaa285a95a，246441aaa22nad413nn6頁(yè)nCSn項(xiàng)開始為負(fù)，又baaa，annnn1n2知baaa，0baaa30baaaa30，前b49495051505051525150515253n又bb0前n52b0，b5051nnnN49或aaanDn*nn1n21．10.3940,，cossin1cos1，255541111．cos22252422110．265tantan12b.a，2tan51則tantan或51tan125ba1即b55，a7頁(yè)b2a2126．e26.．3O，1OOOPFAC212R2BPFOR與所.O，1O，2ACPF443外接球球心即為OOOR3R3R123222AC∥BPF132PBBFPF22與.331,e22．8頁(yè)ett2,2egt.atttfxxxxx1x12，22222∵1cosx1∵fx111122,2，令t2,2e.atatett設(shè)gtete1gt，tt，gt020gtt，gt0當(dāng)02gtt01∵gtg，min22eg2e2，e22e，又g，2222故1()e22∵1gte2，a21,e22.a.21annn326n1Tn與a2a1a12aSnnn1nna21n；nn12b.nnS2SnnnN*nn19頁(yè)S2Sn1a2a1a12a1n2,nN*，n1nn1nn1n又a1Saa2a2a32，12121142a1a211a2n1422，21an2annnna21．a(chǎn)nnnn12b，nn232522n12T．23nnT232522n12234n1，nT122222222n1223nn1n41212n13n26．222n12n1n1n326T．n1n；33tan3CC3c2b2a2b2c2A//且21CEABc33.bbcBaCcsinBbcosC2，ab66sinCsinBsinBcosC，6頁(yè)0sinB0，B31故CC，CC62213得tan3，CCC220CC又.3c224b3abCbbba2b2c2A2222222,B,C//且AEACABCEABb2b1aABECCEABcb3.413，qp932..12，qCq1q，12p1q24913故p，qCq1q,p1211201，3Pq，Pq2211211，q2q2q22頁(yè)12~B3,，133.E222211和PMHPEAEBBCC11.和HP，1212∥∥則，MHDD，1，PECC，111∥，MHPE，MHPE∥∥MECD∥，DCCD，DCCD，ME1111∥DCCD.ME11AADDDDAD，111頁(yè)AADD1AADDABCD，111DDDD，ABCD11ABCD∥，DAB，2以D，，DCx，y，DD1zDA1311,0,0BC，BE,,設(shè)1A，，，，1222131,,222，，AE1x,y,zBBCC，n110z0n1則，xy0n0n令1，xy1122cosAE,n，11211222BBCC1.111x21；y24,.a2b2n.c3設(shè)橢圓的半焦距為ca2bbbc：xb3∵ly3b2c2a頁(yè)又∵a2b2c224，b21，ax2y1.C24,yBx,y設(shè)Ax，，1122y,14kx4n40，222x2y24n2164kn414k4n40k2222248kn4n42xx，，xx1214k14k1222，OAOB，kkk，kk01212kn3nnnxx2yyx即1k212kk0，1xx2x1xx2n21211223，n又03，nnn211k24241k4k2222AB1kxx1kxx4xx2214k2211212|n|3，Old1k1k221234k22323422Sd13△OAB214k3，24k22k24k2242k2354k22k24k242OAB22[,)e頁(yè)1201ge21ln2fxa和gxxf2axx2x221gxae12xlnxe1lnex1lnxfx得ax2x11mxhxx1lnxhxlnx1mxlnx1xx0,x