2018-2019學(xué)年上海市金山區(qū)金山中學(xué)高一上學(xué)期期末考試數(shù)學(xué)試題

12,f(x)fy222xy2xx2，*Bx|xA,xAB2.設(shè)A、BA，A14yyxBAB2ax0（a1xxa2132(1xy1xxx2,xRBxx1,xR2xpA，,Bx1“ABp1x1ax21a(f(x)f2)(0fttt1-0()在fx(21)()的fxfx3lg(ab)lgalgb（a0,b0殊值是成立的，例如：lg2lg2lg()lglgababaf(b)ab0,b0、（a1yaxa1yA、Bx132ABa2f(x)2|xx1aa3434()()1f(x)()()f(x)xxxx5555R在f1x2xxx2x3623設(shè)P和QPQxxxQPxlog，x2Qxx21PQ((2)x1xa2P，若1Pxa(,[0,)(1,0][1,0](,(0,)f(x)a,b，x,y|yf(x),axbx,y|x0只y0ab0ab0ab0ab()()與()fxfxxfxf1xfx()()的“是()“是()xfxxfxx21x，8fxfx.t2xx2(axa，Bx(xa)(xb)abA集UR.b1AB；a12aCA.a4U3x22xfx,g(x)x2Hxfxg(x)，.x2(x)HH(x1)2yH(x1)2m.ax(0x(xx12y，a2x141x1).5yyx142ax(x)（aR.f21x4(x)f(x)21aFx21xb(x)f(x)2h在[0,1]bx21xkx12g()k.()()x[,]f1xgx在1x2345120(2,)2a,a121logx1,x,1y33CACBRR,0(123x3babb14(3,)12.fxxtx1tt2t5或2x.95fxf510t1825若t若tt34fxf24t18t.9t.56x|xxab1ab1A，BxxxbABxxx1.131eAUeAU）x＋∈－＋，44433331a或aaaa.22222x2xx02H(x)H(x)x2xxx2），2x2x2x02x1x12yH(x1)2x12x12））=2.x4x51x12m210mm,2.8x,0x1x12a8f(x)，2x2,x141x18x8x(0,1)f(x)1x12xx1x20f(x)4∵當(dāng).x2x242x42x4x[1,)f(x)，14141422xx1x211x2x441122∵x210f(x)4∴x，42xx1yf(1)4.maxf(x)(0,1)上單調(diào)增，在[1,)在4，f(x)1(0,1)[1,).∴當(dāng)在和8xx(0,1)f(x)1x415；x1272x2當(dāng)x[1,)f(x)1x(82.41x12[4(82x.2(82f.2(x)f0a1.是R21214)26xxx2xF(x)2x1＝f(x)，＝＋，21x21x2121xx)26x1()Fxx1.由22xxx21b)21bxx2x1h(x)2），x21x21x21x(x)0在b在.)210h2x1xb)212在27b.x2x1x2b2b7h(x)f(x)2在.x21x1x1xkx1(x)g(x)f，1x24x)212[,]232xx2kx時(shí)kx0kx.1x1x12111x由于x[,]所以m[,]設(shè)m，23322xx2m5m443222m5]k.1xmm3kk8.8x|xxab1ab1A，BxxxbABxxx1.131eAUeAU）x＋∈－＋，44433331a或aaaa.22222x2xx02H(x)H(x)x2xxx2），2x2x2x02x1x12yH(x1)2x12x12））=2.x4x51x12m210mm,2.8x,0x1x12a8f(x)，2x2,x141x18x8x(0,1)f(x)1x12xx1x20f(x)4∵當(dāng).x2x242x42x4x[1,)f(x)，14141422xx1x211x2x441122∵x210f(x)4∴x，42xx1yf(1)4.maxf(x)(0,1)上單調(diào)增，在[1,)在4，f(x)1(0,1)[1,).∴當(dāng)在和8xx(0,1)f(x)1x415；x1272x2當(dāng)x[1,)f(x)1x(82.41x12[4(82x.2(82f.2(x)f0a1.是R21214)26xxx2xF(x)2x1＝f(x)，＝＋，21x21x2121xx)26x1()Fxx1.由22xxx21b)21bxx2x1h(x)2），x21x21x21x(x)0在b在.)210h2x1xb)212在27b.x2x1x2b2b7h(x)f(x)2在.x2