山东省济宁市2020-2021学年高三上学期期末数学试题及答案

∣xx20，Bxyln1ABAx（）220,2．2,2,．．D．ai（a）i3i32232332．．．．tan2（）1cos21．6123．．D13a1axa1y30a2xay10）D年43212名21种种种D种）fxxe12x）．．．．:y2pxp03lC与A、B2CFF3ABC）3xy4xy6xy8xD．、．y．．2222xf11fxxRfxxR，fxx181fxx0fxx1fx02x）x10,12,,22,．．．．2,1,12,a，b，c，d）ccab0bcda，adbcabbcd，acbdab1444aablP1,2xay30xy423线la22）344．343D．0．sinx0,||11fx24x）fxfx,612,0fx24fx26gxsin2xABCDAB2，ABCM△，为BCABMAM△ABMBC和BD1，N为BD）111BC．AM1．CN．AB与CN61BAMD1AMDB12,1,2xxxffefx则．lnx,x1,36x．xABCDAB，2AD1P，ABCDPA1PCPD．xybbaba22:1ab0::xlyCFly1x，a222FN过F作lM，该垂线交lN，OOFC12．sinsinaCcccosAacosBbcosAAb2cabc223△ABCA，B，，b，cb3S，33Ca△求ab1ab8ab．aba，，113253nnabnn1cnS．bnNcaannnnnn1ABCACCAABC2ABCACCA1111111AAC60BB，E是F是AC与AC1111//EFABC；BCAAB1ABCD区域是休闲健身区，以CDPCDABO．COBPCDS．设，S1lnxa11aR．fxxfx01,在afx3xy22:1ab03,2CA、BC的C32ab2C于P、APAQAHPQH，．lQC）求△ABH2020~2021学年度第一学期高三质量检测数学试题参考答案及评分标准ABCACDCD23222．．3sinsinaCcA，3sinAsinCsinCsinA，30CsinC013sinAsinAsinAcosA，3221即3sinAcosA22tanA30AA．311333bcsinAcc33c4，Sa2224△ABC1bcA3423413a．222222ccosAacosBbcosA，2sinCcosAsinAcosBsinBcosA，2sinCcosAsinABsinCsinC10CsinC0，A20AA，311333bcsinAcc334，Sac2224△ABC1bcA3423413a．222222cabcbcabcb2，22222bca12222A，0AA，311333bcsinAcc334，Sac2224△ABC1bcA3423413a．2222220adbqq，nn12dq814dq,2d2d6或315q2n1，nNanb3nNn1n111133n1，c1n(2n1)(2n1)22n12n1n111111131131nn11S23352n12n11322n12n2n131n4n2CCMEM，FM1F是AC与ACACCA1111F是ACFMAC1FMABC，ACCABCFM//ABCBB//CC，BBCC，E为BBBECMBECM，11111BCMEEMBC又EMABCBC，ABCEM//ABCEMFMM，EMEFM，FMEFMEFM//ABCEFEFMEF//ABCACOOB，OFF是AC与AC11ACCA11F是AC112OF//AA，11//BBAABB又E是BBAA1，1111OFBEOFBE，EFOBOBEF又EFABCOB，ABCEF//ABC60OA，ACCAAAC1111△AACAOAC11ACCAABCACCAABCABCAC，AOACCA1111111AOABC1ABCO为ACBOAC以OOB，OC，OAzxyABC2A0,0C0,0,3，A3,0,0，B，1AB3,1,0AA0,1,3BC3,1,0，BC200sin，1x,y,zAABn1030x1xyn3由得y10z30zny1n1,3,1n33sinBC,n．255nOB200cos，PCDCD200200sin，122S80000sincos40000coscossin400002sincoscossin40000sincoscos40000sincoscos0S．2sincoscos）f，12sin，cossinsin2sinsin12sin则f222000由f得，f得，662,620,f在63333ff，66424max334Smax40000300003，30003m．2即6fx0,．11axa1fxxx2lnxa1fx．xx2当a对0fx0x0,当a得，得．0fx0xafx00xa0fx在0,aa,0fx0,a在当aax11fx0ln1得xa10x，1xxxxx对x即ax1lnx11x1(xlnxx)xxx1xlnx2xgx令gx，x12x121x11xlnx2令hxhxx1x0，xxh31ln30h42ln40，，1,hx在3,4ln20xxx000hx0，gx，当1xx00hx0gx0，x当x，01,xx,gx在x，00xx2xgxgx00x0100min0x3x，aZa，00a．c3a332a612bab22c2abc222x2y21C．642kxmmPQPQyykxmk2x6m0由得222，x2y21642，36kmk2m46k4m222226m2,yQx,yx设Px，x，xx，k2k21122121222AQAPAQxxy2y2xxkxm2kxm2AP12121212k1xxk(m2)xxm2022，1212m62km2m20，k212k2k22221m126kmm2m2k20即k22222k2162320kmmmkm22km6km66kmkm2m6k40，2222220m．5252y0,PQPQ．511△ABHk0yx，2AHkk25yx为Hx11HHyx25kkk11122412ABx4S，22511H5k5kkk151△ABHk即k．kPQPQDAHHAD，2211554S，2222△H5即△ABH．6m2,yQx,yx设Px，x，xx，k2k21122121222AQAPAQxxy2y2xxkxm2kxm2AP12121212k1xxk(m2)xxm2022，1212m62km2m20，k212k2k22221m126kmm2m2k20即k22222k216232