上海市杨浦区2019届高三上学期期末质量调研(一模)数学试题

上海市杨浦区2019届高三期末质量调研数学试卷2018.12.45A{3,4,5}A设全集UU3y1x22若(ab)nny1x2lxy25(cm)h4(cm)()31aa)a}lim(ana1212nn1x1xf(x)lnB(a,a1)BA2x74x34651432f(x)y1f(x)cosx2f(x)iz(3sinxcosx)ixRz，（12Zf(x)数z、zZ、Z11221211当0xa2x2(ax)21设da}的公差，数列b}TT(1)b（nNn*2nnnnnnabmP{x|axa}kN，k3P，且d（*52kk2k3kNH若H是数列T}nn，Pk*n2n1k.45[f(x)arcsinxf(x)lg|x|f(x)x）f(x)cosx5222有1）335252310(0,)sincosxaf()，bf(sincos)，f(x)，sin22sincf()b）sincosacbbcacbaabcm2xA{x|f(x)0,x}B{x|f[f(x)]0,x}，f(x)x2Bmn若A）[0,4)[1,4)[3,5][0,7).5AB1AD2，F是PAE.EPADE5ABCCcosB.134sinAcosC；545.b3(5x1)元，其中1x10.x2.4xC:y2PA、PB.yABMP(x,y)，M(x,y)yM；PPMPMy2x21x0（.4Mma}nmbnM，nN*.nn2nn2cosab3n2na}b}nn|b|1KN*）若对任意，有|a|nnb有b.n1n.645.11,1,2．．．；3；1222211)([1；23或42245.CBDA5.1628113PAS）V6分PADE3ADEAFPBCABCDPAPABCBCAB，故BCABBCAF；分分PABPAABPBAFPBAFPBCBCAFPE.分172751213sinBsinBcosB．1312sin,BA3分13333cosAcosCcos(AB)cosAcosBsinAsinB7分565ac2accosBb22210101616acac2acacac，22131313ac．5BCaccos(B)accosBac513∴AB．分1628331)5x02(5x2分xx1x3或x4分6分8分5x103x10又13(5x1)y，xx11)]2，分分x66y4575max故x142537；(x,y),B(x,y)，4分6分1122y4x,211则yyxx1()4,P1P2222yy8xy0y21，2P1PPy222yy8xy0，8分2P2PP2yy8xy0y,yy2212PPPyAyy1y2故Myy；2P9分PMPMxOBxM，P(，,B则y80，y2221故2),B22)，S34262；分2yyyy(xx)AB12，xx1112yy11y(xy)y4yy122yx即1412，41(yy)yyyy222112122,yyy8xy22AB:yx将12P，分P2yPyy8xy,y212PPPPy2P4y2P4故|AB1|yy1y4x)2(y4)(y4x)，22212PPPPP28xy2|xPP2yPy|y3|4xy|P2hABPy4P，分PP4221Py2P13243|AB|h(y4x)故S，22PAB2PPy2P4x0)而x2P，P3232433(4x4x4)(2x]故S，分分2222PAB4PPP15104x(1,0)4x4x4(4,5](62,]由，S2PPPPABPAB62.142539aa8a2分4分123285b23a}nMamaaad0aa当d0，，nn1nn1nnn1MMama，，0aad0aa当d当dnn1nn1nn1nnama0aad0aa，nn1nn11nnaabn12naaaadb1b}b6分n1n1nn1222n当数列b}d*nMmMmMMmmb+db，nnn1n1nn1nn1*nn12222MmnnMMmmnn1nn10MMaMMa，当d*nn1nnn1n1Mamaa}n，，nnn1aaaaaabdn1bn1n11n*nn1222aada}*nn1nmamma0m当d*nn1nnn1n1Mamaa}n，，n1nnaaaaaabdn1b1n1n1n*nn1222aada}*nn1nMmMmMMmm当d*0bb0n1nnn1n1nn1nnn12222MMmm，，nn1nn1MM,mm,a}na}.nn1nn1n9分分|b1b1b1，nnnKNb,biiK分*i1b}b,b,b,...,b,b....kkk...knkkkkk123i123ii1且1bbbbb，kkkkk123ii11bbbbb分k1k1k1k1ki11123iMmMmbb11kkk1k1iiiikk122iiMM,mmk1kk1kiiiiMM,mm分k1kk1kiiiiMM4aMM4k1kk1k1kiiiiikkkk1MMii1ii1kkiiaM4M4k1