江苏省2019-2020学年高二上学期期末考试数学试卷

江苏省2019—2020学年度第一学期期末检测试卷高二数学．5x，x210▲．在y▲．2xy102y4x▲．y2xx在▲．21▲．n10n=▲．s▲．ns1s2ssnn1Yn3Nyln(xAB{x|x}xA是xB▲a．x2y2．C:1点▲．MM43(1,2)▲．yxR，是f(x)f'(x)f(x)，f3f'(x)1f(x)x1▲．，BP2Pdd▲．1x2y2la2b21(ab0)AB3在y△CC率为▲．．已知函数f(x)x|x3|x的值域为，则实数的最小值为[0,4]m▲．6x2y2已知命题p：“椭圆1的焦点在轴上”；命题q：“关于的不等式xx5a3x22ax3在Rpa）p或qp且qa①②412341的4y4x3y90圆CCCQ且(x,y),B(x,y)4xx12lC1122yyexxxN*a0aMx2x1（23a1MxMe4）aeex2y221(ab0)x2E:a2b2为,B2ABP与x与yAMBNMNfxaxx．yfxa1fxxygx2gx（3）若函数h(x)f(xx的图象与x轴交于两点(xB(x，且0xx．设1212，其中常数、满足条件，且．试判断在点xxx10012M(x,h(x))00高二数学参考答案．yx．．，．1．．xx21014561．(4．x1．(．．．y2232x2y2）p1∴0a5分x5ap或qp且q∴p真qp假q分qx3x22ax30在R∴2(2a)43303a3分0a5或a0a5∴或a或a3或3a53a03a3a或．3a53a0分；分）；分（3A6A13分P()21分277.4C(0,m)，4x3y90圆3m0CC|m9|∴或∵∴m2分3m2m8m05；2分Cx(y92AB∴AB:x142：yk(x1)|2k|k21∵4AB:kxyk0，5C5124k24k10∴分k1(xyy∴5x210x110xx分2512(y9x222(xx2)exex181(x1)M'a1Mxx1(xx1)222分x(1,2)fx分∴M在∴M在x2分(1,2)(2,)2a(xx2)ex（2(a0)根据（1M在(2,M'(1,2))(xx22增M(1)2ee42ae3e43∴137eM(3)a7222ae4M(4)13e4ea．(,]22分2∴a2c∴ax22c22x2c1,a22∴∴b1y1；分222x02P(x,y)y1，(2,0),B(0,1)2y2．2x02200200当PM，N∴x0AMBN2222分0P∴x2A0y0当x2且时，设直线方程为：，它与y轴交于点x0y(x00x202yN)0x20y10xxyx1M(,0)0xy100x0y12yx22yx22y∴|2||，||||00000y1xx220000分(2yx(x22y)x2y222x4y22xy22∴|||0000000000(y(xxyx2y20000002222x4y22xy|220分000xyx2y20000x0M，PN∴AMBN2222分分y1k01M(12k1∴且2||||kkky1k去y(2kx400或，xx2x222y11k12224k2k122P(,)PA∴k2k12k12222k122k12k12k12∴2k4k22k4k22kAP222k122k1y(x2)，2(2k1)2k12k12k12k122k则∴N(0,且|1||)|2k1分2k122k||||22k2k1分1x1fxxlnxf'x10a1∴x1f'xxxx(0,1)fxfx∴f11分gxxxx0g'xa12x21）2，∴2x1G(x)22xxxGxg'xgxa0在(0,00)G'x0g'x0恒且a280a00a22gx在(0,)且a0a280a22aa28aa28a1G(x)0x,xxxxx01424122122∴或0xxxx，G(x)0g'(x)0，G(x)0xx20x2xx1211g'(x)0；aa28)和(aa28,)(aa28aa28∴在，)g(x)4444aa28a22gx在在g(x))和(0,)a224aa28aa28aa28(,)(，)分4441），h(x)xx2h'(x)a2xh'(x)x0h(x)f(x)x20xxx(xB(x1212lnxx0ax21∴a(xx)xx)(x2x2)011lnxx0121212ax2222xx∴(xx)分a12xx12121∴h'(x)hxx)axx)xx0121212xxxx11xx)(xx)xx)1212xxxxxxxx12121212121212∵且1∴∵0x∴(21)(xx)00210x2112分xxxxx112112xx1xxxxx212122xxxxt1t1令t,t，tHt)t,t1112xxttx2x2121(t(t1)12)12t2(21)t∴Ht)(tt(tt(tt)2)2)2112(1)12tt11Ft)2t22222222∴在F(t)(0,1)F(t)F在Ht)02212()210上恒成立∴Ht)在上单调增0分∴Ht)H(1)0，即xxln112xx212xx1∵xx∴0012xxxx121212xx1∴(2xx)0h'(x)012xxxx1201212分M(x,h(x002(t1)(2t2)2t2(21)tHt)t(tt(t)2)2∵0，01∴t10,t0∴)0在t22Htxxx∴()在∴()(1)00分HtHtH112xxx212xx1∵0∴0xx1xx2xx212121xx1∴(2xx)0'()0hx12x12xx0x1212(,())Mxhx00分aa28aa28aa28(,)(，)分4441），h(x)xx2h'(x)a2xh'(x)x0h(x)f(x)x20xxx(xB(x1212lnxx0ax21∴a(xx)xx)(x2x2)011lnxx0121212ax2222xx∴(xx)分a12xx12121∴h'(x)hxx)axx)xx0121212xxxx11xx)(xx)xx)1212xxxxxxxx12121212121212∵且1∴∵0x∴(21)(xx)00210x2112分xxxxx112112xx1xxxxx212122xxxxt1t1令t,t，tHt)t,t1112xxttx2x2121(t(t1)12)12t2(21)t∴Ht)(tt(tt(tt)2)2)2112(1)12tt11Ft)2t22222222∴在F(t)(0,1)F(t)F在Ht)02212()210上恒成立∴Ht)在上单调增0分∴Ht)H(1)0，即xxln112xx212xx1∵xx∴0012xxxx121212xx1∴(2xx)0h'(x)012xxxx1201212分M(x,h