通州區(qū)2020—2021學年第一學期高三年級摸底質(zhì)量檢測年1月考生須知4第一部分選擇題（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．．．a(chǎn)3b32222443,cos2．已知角P552425771625．．．．25258△ABC2AC3，33ACRABACAB3A．233．3．．2325mAB30m.5m水面寬是（結果精確到0.1m）2≈1.41，52.24≈72.65，≈）AB43.8m44.8mA．．C．52.3m．53.0m△ABCACBC2ABC，PπPBA2PPPACPBCPACPAB；；PABPAC0,4；SSCπAPBC.4A．D第二部分卷非選擇題（共110分）55.1i（i．．i(2)6xx44,0OAOA2．yxBnAcosnkGnGnnn10,π，．0n1和Ak71301②37根據(jù)已知信息，得到Gnx4e,x0,≤fxfxx0x0fxe≤，x,x0.1212xxfx126.ABCDDDABCDABCD111111ABCD，E，F(xiàn)BB，DC，11D1C1A1B1DCDD2.F1E∥ABCD；DCDC.AB14△ABC△ABC的中A，B，a，，cCbS△ABCc7a與sinC.33273bScosB．14△ABC分）某企業(yè)為了解職工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記S.n12nSA3SA0a0n；nSA0SA.nn4通州區(qū)2020-2021學年第一學期高三年級摸底質(zhì)量檢測數(shù)學試卷參考答案及評分標準年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為，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)在上單調(diào)遞減，在7.tt分g(1)0，0,1g(x)在.8t分11111ge0，egg10，tt1ttet1,tg(x)0.001,g(x)在.t0t1()分時，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