2020年普通高等学校招生全国统一考试(45).pdf
2020(1 _i)(1 2i)(1 _i)(1 2i)=1 2i-i-2i2=3 i U=1,2,3 4 5 6A=1,2B=2,3,4AcCuB 1,2,5 6?121,2,3 4 U 1,2,3,4,5,6?,B 2,3,4 Cu B 1,5,6 A 1,2 AD(CUB)1B)p:x：3,q:-1：x：3 q=p,p q pq 2 y=x 1 y=1 nx(0,：)y=l nxy=x2 1x2 0y=x2 ysi nxycosxJI ycosx=0 x kk，2 x-y 0“x+y40V z=2x+yxy _ 0 x y-40z=-2x yy=2x zy-1 A（1,1）z-2x y_1y2x 2(A)x2 14 2（B）12 2 y(Cx 1 2 2 1 a=1,b=23 a,n=2 2 a1.414=|1.51.414=0.0860.005 a=7,n=3a1.41#1.4 14140,00 5 17 a=，n=4a1.414 0.005n=412 2 2 x y-2x_2讨1=0y=2xx2 y2-2x-2y*1=0（1,1）13x 4y=b 3+4b=1b=2,b=12737 S=2(J2)2 1(、.2)2=23,4 2 f ax3 bx2 cx d (A),(B),(D),a 0 x=0d 0f(x)=3ax2 2bx cx1,x2 (A)1,3(B)1 2、2(C)2 3ABCPAPCABBC=.2AC0 PO,BO Rt POB P0BO1 PB 2A O f(x)=0 x1 0,x2 0 2b x-i x2 0 3a c x-i x2 0 3a b 0 PAC ABCPACf(x)5 1 i 2lg2(2)lg5-lg2 2lg2-2=lg5 lg2-2=1-2=-1 ABC AB 6.A=75.B=45U AC AB=.6.A=75B=45 sin(180-75 -45)siAC1 a.a1=1 a*an _ 2 an2 1 1 anan.an a1 2 2 98 1 12 xOyy=2ay=|x-a|-1 U a。1 2 y=2ay=x-a-11 2a=-1a 2 T TA ABCa,bAB2a,AC=2a b,Taba_ b;b/BC（4 a BC.AAB BC=2a BC AB=2a,BCb a 7B=2aAB=2 BC=b21=2b12 2(4+b BC=a(+4)b=)a b b=XX 4 1(4a+0b)BC k-1-ifi-a*I-I2 a O AX 1n _ 2ABCa=2a=12 f(x)=(sin x cosx)-cos2x f(x)(2f(x)0,2 f()s2 xin x=1 x(2；)+1,f(x)T.i2 f(x)=.2sin(2x)+1.4 xw0，2x+i-1y=sinx1 2 4 4 4 4 4.JT JT JT i JE 5 JT JI 2x x f(x)-2+1 2x x f(x)4 2 8 4 4 2 f(x)0,；.2+1 40,50),50,60),80,90),90,100.40,60)40,50)WI1 0U&1 1 to l|N0.004 a 0.018 0.022 2 0.028）10=1,a=0.006.（0.022 0.018）100.4,04 50,60）50 0.006 10=3 40,50）50 0.004 10=2B1,B2.A,A2,A1,BJ,A,B2,A2,A3,A,Bd,A2,B2 A3,B1 A3,B2B1,B2.1 40 50）B B210 laja1+a4=9,a2a3=8.Snn bn SnSn*3 a4 n&qq=2n n a*ag 2 T.PA=1,AB=1,AC=2,BAC=60 P-ABCMC sv a1aa2a3=8.a1 a9,f1：1,J a 8 I a 1 L8,Sn eT）=2n 1-q-1.bn an 1 Sn 1-Sn SnSn-1 SnSn 1 Sn 1 Sn 1 1 b2 L 1 1 1 1 S2）（LS；）L Sn Sn 1 P-ABCS1 1 Sn 1 1 n 1.2-1 n?Tn(1AB=1,AC=2,.BAC=60,S/BA-gABgACgsin60 3.。2 2 PA ABCPAP-BAC V gS/BACgPA 3 3 6 ABCBBN _AC,N.PACNMN/PAPC M,BM.PA ABCPA _ AC,MN _ AC.BN-MN=N,AC MBN.BM MBN.AC _ BM.1 VBAN AN ABgsos BAC,2 2=1(a b 0),a b(a,0)BM|=2 MA,2 1(1MM(a,b),3 3 3 PM AN MN/PAPC AN 1 NC PA=1,P-BACa=；5b,c f la?_b2=2b,e=-=2-5.a 5 a b uuur a 5b NACN(-,-),NM=(a,m).2 2 6 6 urn uur uuur 1 2 5 2 1 2 2 AB=(-a,b),ABgM a2 b2(5b-a2).6 6 6 2 2 urn uuur a=5b,ABgNM=0,MN _ AB.ax f(x)2(a 0,r 0)(x+r)2 f(x)f(x)a=400f(x)(0,：)r 1-r,(-fr)_.x：-r x r f(x):0,-r：x：r f(x)0.f(x)(-r),(r,：);f(x)(-r,r).f(x0,f(x)(0,r)(r,：)f(x)f(x)(0,：)f(r)=ar a 400(2r)2 4r 4 _100.f(x)=ax(x r)2 ar x2 2rx r2 2 2 t a(x+2rx+r)ax(2x+2r)a(rx)(r+x)f(x)=(x2 2rx r2)2(x r)4
