2020-2021北京市通州区高三上学期期末数学试卷及答案

通州区2020—2021学年第一学期高三年级摸底质量检测年1月考生须知4第一部分选择题（共40分）4.A，UAU2,54,5．3,5A．．．4xy22x1x1A．x．．．x2:xRx≥0p，2是pxRx20，．xR，x2≥0xRx0A．C．xRx≥0，2．，200001a9a5aa，15nnA．．25．．33252025．30ab0．55A．．ba1111abababloglogD．A．．．a3b32222443,cos2．已知角P552425771625．．．．25258△ABC2AC3，33ACRABACAB3A．233．3．．2325mAB30m.5m水面宽是（结果精确到0.1m）2≈1.41，52.24≈72.65，≈）AB43.8m44.8mA．．C．52.3m．53.0m△ABCACBC2ABC，PπPBA2PPPACPBCPACPAB；；PABPAC0,4；SSCπAPBC.4A．D第二部分卷非选择题（共110分）55.1i（i．．i(2)6xx44,0OAOA2．yxBnAcosnkGnGnnn10,π，．0n1和Ak71301②37根据已知信息，得到Gnx4e,x0,≤fxfxx0x0fxe≤，x,x0.1212xxfx126.ABCDDDABCDABCD111111ABCD，E，FBB，DC，11D1C1A1B1DCDD2.F1E∥ABCD；DCDC.AB14△ABC△ABC的中A，B，a，，cCbS△ABCc7a与sinC.33273bScosB．14△ABC分）某企业为了解职工A款和B款人人A款B款人人人人人人.A款A款12A款，X求XA款占B款用A款B款411xfx.f1yfxt≤gx.fxtlnx1gxxyb:1ab0A，B22Ca2214C.2C0lCNC于M，，BNx.4QQ2：a，a，，（n≥Aan12na12（k1，2，，n1.①1k1ak(A)aaa记S.n12nSA3SA0a0n；nSA0SA.nn4通州区2020-2021学年第一学期高三年级摸底质量检测数学试卷参考答案及评分标准年1月4.12B34C5B6C7C89BBADA55.1160x2y40π5πGn15cosn18，nn4e,0，666.CDGFG，BG.1分1∥CCF是DCFG，.1z2111∥CCE是BBEBA1B1，.12F11EEBFGEBFG，.CDyGABxFGBE.BG56.分EFABCDBG，ABCD，∥EFABCD.分ABCDDDABCD，1DCDA，DDDA，DDDC.7114分DDADCDD为，zDxyz.xy18分DD21DC，DA，1D0,0,0A1,0,0E1,2,1C0,2,2，，，.1DEDC0,2,2DA，，.1n,y,zEAD，DA,DE,x,n即令y1z2.x2yz0.n0,1,2n.分222510cosDC,n.11010DC分EAD.110333.bS△2333，，S，b7c2△1233213337.AA22.4A7分4△27.7A7分27797237a2.2.a分cA.Ca3.C2分32，.aC273．bB7，B3.4B分cB.Cb3.C28分792727.aa2.a分32，.aC23327S．B△47，B3.3B分3323，，bS△13321333B7.a2222.7a分7247227.b3.b分cB.Cb3.C2分32，.aC2A款7235；1A款3.3分0，1，2.4X分224PX05332218PX15353311；；.PX253574分X012X4815P9分481012.X5分A款724011264.3.款6084144占58.3.B款分111x()fxfx.x2f10f，(1)1.yfxf1yx1xy10.3分gxfxtlnx，1gxx0tx1.x41t1分.4g(x)x2xx2g(x)0,在0()0t≤gx≤..g(1)0，g(x).6分0t111.t(x)0g(x)0令gxxt0,11,g(x)在上单调递减，在7.tt分g(1)0，0,1g(x)在.8t分11111ge0，egg10，tt1ttet1,tg(x)0.001,g(x)在.t0t1()分时，gx.4x11()gxt.x2(x)01g(x)0x1.令gx(x)0,11,.gx在1()(1)0.gxg.g(x)分01g(x)01g(x).t≤或tt分201AB4C，22ac1,a4，b3.22a2bc.2a22xy221C3分.43l1.lxC3321,1,MN.y2Q1Mx2AMy，12OxA1B43x2BNy.N244,3AM，BNQ.Qx4.5分l.k.yykx1l.QMykx1,O1BxA4xy221,43Ny34840kxkxk222.6分0.Mx,yNx,y，，1122k4k22xxxx，.834k34k122122分6yyyx24yAM1.令x1.x2x211y2yyx24yBN2.令x2.x2x222分6y2y612kx1kx1212x2x21x12x2226kx1x22kx2x11212x2x2126kx1x22kx2x1121242k3xxx2x2xxx2x22k2xx5xx8.1221121212122412k58k34k824402432kkk222222k82k34k34k2220.分Qx4.7533571，，1，，，.3SA分，，3a0n2an1.n21242an1n，，2，n1.n2n2n1aaa≥1242n212n122n221.n112SA0.6n分SA0aaa0.12nna0n2an1.nSA0SAaaa≤1242210n21矛nn12nn.SA0.8n分SA0a0n.n4SA0a02n1.a.nnn:aa1a2a1aa311224，A，，，（n≥有，有，有n2n2422a有2n1a有，n2n2n1n:aa1a2A，，，（n≥22n1n1n2n1n.n22.n11222222.2n11n1nnn2SA22n2.n分42k3xxx2x2xxx2x22k2xx5xx8.1221121212122412k58k34k824402432kkk222222k82k34k34k2220.分Qx4.7533571，，1，，，.3SA分，，3a0n2an1.n21242an1n，，2，n1.n2n2n1aaa≥1242n212n122n221.n112SA0.6n分SA0aaa0.12nna0n2an1.nSA0SAaaa≤1242210n21矛nn