鎮(zhèn)海中學(xué)高三年級(jí)數(shù)學(xué)第一學(xué)期期中考試答案

鎮(zhèn)海中學(xué)高三年級(jí)數(shù)學(xué)第一學(xué)期期中考試答案數(shù)學(xué)（理科）答案一、選擇題（每題5分，共50分）題號(hào)12345678910答案BAACDBDBBB二、填空題（每題4分，共28分）11.135°12.-113.514.312215.1616.51217.2<a<357218.14A(3,0),B(0,3),C(cos,sin),O1ACBC1,sin(4)2｜OAOC|13,且(0,)，求OB與OC18.1AC(cos3,sin),BC(cos,sin3)ACBC(cos3)cossin(sin3)13cos2sin23(cossin)1cossin2,53sin()27432｜OAOC|13(3cos)2sin213,cos1,2(0,),3,sin3,92專心愛心專心13C(,),OBOC33211OBOC333設(shè)OB與OC的夾角為cos2|OB||OC|32(0,)6141914f(x)2cf(3x)f(x);f(1)0;x,f(x)11.4a21yf(x)2{an},{bn}ngn(x)xg(x)f(x)axbxn1,(nN*){an}與{bn}nnnabc0b3a191b34ca2a2b2af(x)11得ax23ax2a1104a24a2a0a011)a169a24a(2a(a1)204a2f(x)x23x282f(1)0f(2)0g(x)f(x)axbxn1nnx1得anbn110令x2得2anbn2n112專心愛心專心an2n11,bn22n11420.(14)anSn,4an2Sn=1bnnbn2log1annN*2ananbnnTn.bnnUn0Un4.an20.a11.12n24an2Sn14an12Sn11-,4an14an0an2an1.an2n2.an1a12.an12an2n2.3bn42n5n4Tn2n3n7anbnbn42n2n2anUn202...62n42n1122n32n321202...62n42nUn12222n12n12-1Un4222...242n212222n22n1Un4n112n12nU1U24n3UnUn10.2n3n3Sn.130UnU33.0Un4.14專心愛心專心21x2y21(ab0)F1F2a2b2F1lAB.1AF1F260AF1AF20,2a2,b1,F1AF1B.1AF1AF20AF1AF2AF1F260,F1F22AF1AF23AF132aAF1AF22cF1F2離心率ecF1F2316aAF1AF22a2,b1c1,點(diǎn)F1(1,0),F2(1,0).ABxA(1,2),B(1,2)22F1AF1B(0,2)(0,2)18222ABxABkAByk(x1)yk(x1)2y20x22(221)2422220kxkxk8k280.A(x1,y1)B(x2,y2).x14k2,x12kx221x22k2k

22

291F1A(x11,y1),F1B(x21,y2)F1AF1B(x11)(x21)y1y2(x11)(x21)k2(x11)(x21)(1k2)(x1x2x1x21)(1k2)(2k224k211)2k212k2k2111112k2122(2k21)k20,2k211,0112k21111122(2k21)2F1AF1B[1,1)132專心愛心專心F1AF1B[1,1].lxF1AF1B12lxF1AF1B1142122215f(x)x4x3ax22x2[-1,1],[1,2],43(1)a(2)xf(2x)m,m.(3)ylog2[f(x)p],p.:(1)f(x)1x42x3ax22x2[-1,1],[1,2],43x1f(1)02f(x)x32x22ax2f(1)122a20a142121(2)(1)f(x)x4x3x22x2,432f(x)x32x2x2=(x1)(x1)(x2),5f(x)0x1,x1,x2x(--1(-1,1)1(1,2)2(2,+∞,-1)∞)f(x)+0-0+0-f(x)f(1)5f(1)37f(2)8121237f(x)f(1)5,f(2)8,f(1)37f(x)12312xf(2x)m,2xt(t0)tf(t)mt(0,),yf(t)ymt(0,).yf(t)yf(x).f(0)2378m10123(3)ylog2[f(x)p],:1°ylog2[f(x)p]x,f(x)p1無解專心愛心專心[f(x)p]max5p125yf(x)p(,p]1215pp17121