2020届山东省德州市高三上学期期末数学试题(解析版)VIP

2020届山东省德州市高三上学期期末数学试题UR|x9Bx|2x42ðAx，AIB等）R．x|3x．x|3x4．x|2x．x|3x2DAIðB.ARQAxx9x3x3，Bx2x4ðBxx2U2或x，ðBx3x2A.R.zz1ii（）zz13131313．22i．22i．i．i2222Bzz.zz1i13z13222Qz1i2i.2z2.x“，10）ax211．≤a2．．a．a04Aa11yx2x2a.x1x10aQ“，ax2x21yy11，a.minx2.rrrrrrrrabrrab，a1，b2，abab13与（）．．．．6336Crrrrrr设与的夹角为ababab13cosrr与.abrrrrQarrrr2abbrrrrbaba2213211131，ababrrabrrab120，则，Q.3.cblogx2x32232，a，c）ab1b12ac．b．cba．acb．abcA由232abcb，ab1.Q232232ab11ab.ab1ab1x2cb2321xQx2x3x122，bc，2.21212.abc.）1155．．．．5566C.31023106010141040.460401005.A313206612.0,1x2y222,0（a100bFA，）1a2b2APF点P1．．3．2．222DFAPFPFPF2a，1APAFPFAFAPPFa用A、、P1111FAPF的周长取得最小值，可求出a1.PFPF2aF，1APF1APAFPFAFAPPFa3AF2a62a，111APFa1.628A、FPa12222.ea.aanannkkk2aaanNaa*的knn1nnnk1若a1aaa2nN2*aaa1kkn1n1nnn1nna）nn2an2n1n．a．．2n1nn12a2n12．an2n1nnBaaa2nN2n*nn1n1aaaa2a22，可知数列n1n1n1nnn2222n1nnn121aa.n22nnaaaaaaa2nN2*，nnn1nn1nn1naaaaaaa22a2即na，nnnnn1nnn1n1n111aaaaa2且1，n1n1nn1n1nn122222222nna1111ann1，nn2222222nnn2an1.n.0fx1fxx当fxxRfxlogx1）2f0fx2的．fyx2fx1,1fxAfxf1f00，02fxxyfxAB间1,1Cyfx在0,yfxD.yfxf00是Rf1f00Q，fx2fx1fx0当x，f2019f2020f2019f2020f1f00A61650fx1fxlog当xff，5524549545465fflogff2f，，552yfx2RBx若fxfxf10，0f00x若fxZ，xx2n0,102fxnNx2,2n1当xfx，fxfxn0,1，x1,2x10,1fxfx1，，当x2n1,2fxfxn0x2nn2当，0,1,1，yfx在1,1，yfx在yfx1,1D，在Ryfxyx11x1x1或1yxyfx当xfxyfxC.yx:xy201Al、Qx2y2PPAQ若A）o0,21,212,021,1．．．．t,2txy1AAQ22APPAQAPOQOA2oA.21lx21yld21122y1PAQ、AQx22APOP、PAQ90APOAQO90o，oOQOPOQ1，2OP2APOQOA，2OAt2t2，200,2或t2t0t22,0.或2A.45395%50.0503.8410.0106.63520k2nadbcK2abcdacbd．60．75．．5nnN22K2nn.5nnN22nnnnn5n5n10n10n4n2nnn210n则2，K5n5n7nn2195%3.841K6.632，210n即8.066113.9272，n910n、、11、12，QnN45或60.22.:y2px02p．已知抛物线CF3F线A、AlCDB8）424．．p．．.A、C、Mm.BEpC交xmPF3lP60，oQAExEAF60AEAFAEFoEFPAEF60PEF30，AFEF2PF2p8oop4，AQAEEF2PFPFAE，F为BADBD2BM2BFDAE60ADE30，Coo131383QBD2BF，D..001、2，PX0.4，DXX【答案】1PX2xPX10.8xEX设xEX.PX2xPX10.8x，设0x0.8EX00.210.8x2xx0.8，xxxxxx0.2，2220.20.81.EX1..AsinxA|3fx2,66fxxx23fx32fx3sin2x,x666yfx2x.6yfx的最小正周期为TTfx3A22maxT，fxx.23sin2Tyfxx32kkZ，32π1，k，fx3sin2xkkZQ.6266Qx,2x，，66662yfx3,3sin.66623.2.162x．2x60x6.116k2x2x6kC2x的展开式的通项为C，2k62k66k123kxx令12k0k4C2；4622CC27naaaC2kkN,k66nn16n61令k66knn，aa2C2C6n165nn6nnn14373n，QnN，n2C2624xx6.660；.x6.PA5，ED3PADEABCEABCDAD9PABCD20RADEPPAABCD12rPABCDrR22222R.2ABCDADCDADCEQAD5ED3，，22ADE2，r2214332RR9ADE.P3R11211022PAQADE，RRrr，222221111PA10.102rAC2AD10ABCD，r，2222QABCDPABCDRr5，2222ABCD.PR2220..042，SaanSaa.n2nnnnn（anSSbn（1nbnT.SSnnn111a2nn1n.））2Tn12n1n242naSaan21nn4Sa2aa2n1n1n1na；n111出SbnT.nn12nn142aa2Qa0a2；naaa，122111111242aS4n2a当nSa2a2nnn1n1n1a2aa0，4aaa2a2a22a22n1nn1n1n1nnnnaaaa20n，nn1n1a0aa0aa2，，nnn1nn122n12n；22anannaan22nnn1，S1n22nSSb11111111nnn12nn12，SSSSnn1n1111111111Tbbb122232nn12n12n111111111n1n.1223nn12n12aS与nn.a，，cA，，CbBba26acAcos2A2cos1a6；23(ab)2c④22.b（1（21.3.）cosBAAB，.ba26ac3acb26ac3ab222，cacb6222B，23Acos2A2cos1，AA102221cosA或cos1A，A2323612B0,BAB.B3ABC.故ABCABC6bac2accosB86c226cc4c20.22223c62.ABCS12sin32acB.622abABC3sinsinB1，若BAsinB21ABCS3A.2c2.2D，EF、AFC1ABEFEDCFDC把CDFBECCDF，2ABDCDFA沿，，BDE、、A）BC3.（BACD；1CD.（B21）.3BAAC，BAADBABACD；yAC、AD、ABx、、Az2ACa，ADbabBCDBCD.BAAC，BEEC，D，又ACADABABACD；ACADAC、AD、ABAy为x、、zCa令ACa，ADb，ab20,,0BDb，，x,y,zmBCDmBCv020axz22,则1mzvmBD0bx2z0ab0,0,1m，rmnrmn1cosBCD的大小为141ab2，1244baba2ba212119，又ab2ababab213ab1.1CDB.3.xyb:1ab07且22Ca2243.（C1（CAO作M2llAMO.x2y21）.4143）a、Cbkxtl0lyA线lC0tk4322OMAM、M.12ab432a2，b3，ab722x2y21C；43ykxt:ykxtl0l，3x4y122234kxt0，得且22264kt434kt1204k32222t，228kt4kxA，234kt21x1|kt||t|1yktOM1kxykxt，k1kk1M222k24k4k4kkt32k1k1则2k2，tk11tk221tk21111114ktkSAMOM1222k12，tk21k212kk1故1.k4.fxxa2x2a2（.fxf1xya30（1在fx0（a2fx（aa.34）a）1.a13fa11与100aaa2yfxyfx2a2和1、aayfxa.12x111a1，fx022xaf，xxyfxf130xy1111134；ffaa则31Qa00.a110a2，a21211210fx0fx，0xxx当或，aa1111yfx,,在和2a2a110，fx22，x0yfx在0,aaa211a21或a1110fx0xx0xfx当，，2a21111a2yfx,,在和a2afx0a2xxx232，若1，a1211,yfx在,1和2121f10yfx,ff10，1又又2e212302e4e2e2fx.fey1yfx0,22，yfx在0,1.若a若a11121112ln1，a22，flnaaaaaaa111令t0t，1y10，，ytta2t111ln1ln20y.2221111,yfx在,和a2a211yfx0,在1ff0.2a1.a.yxxiyi对公司近12.y2xye、、、t均为常数，extyi,12xv令u2，..iiii22xxyyxyuviii1i120667724604.2022iixxvvi1iiiii1i1i1312502153.0814（1y（x21yx90xxyyniiri1，nn22xxyyiii1i1xxyyn$ii$$$yabxb$$，aybx；i1n2xxii1，e4.499890.308477，909.4868e$21.89型y0.180.56xtvx.lnyxteyxtvtx和tyx.u和yr，x和vr1ii2iiuuyy21543iir10.86，uyyiii1i1xxvv14100.91iir2i1，773.081122xxvviii1i1ryext则r12xvx；eytxvt由yxtxxvv22iitvx4.20200.56i1，，112xxii1x$v0.18x0.56，v$$yey0.18x；0.18x0.5690y$e0.18x0.56y入ye0.18x，4.49980.56e21.8