2020-2021学年北京市首师大附中高一(下)期末数学试卷

1111学年北京市首师附中高一（）期末数试卷一选题共10小题，小分共40分）z2+i|A

B

C3D5aaAMa

BMa

Caa

DMax

cosxxA

B

C

DABCB1BABCA

B

C

Dm①m②nmnm③mnmnmnA0

B1

C2

DA1Byxx

C

DAC

BDABCsin2

ABC

11111111A

B

C

Dxsing01AgB

C5xDx

310M2ABCDBDBDCCPBCCPAPAA

B

C

D3]二填题共5小，每题分共20分）11ii12cos

+13MNCMMANCCABMACCMCA60BCm

m14fAsin+

x

x+fx

2

πf1

15①PABDC②PABPDC③PDC三解题本题4小题每题10分共分16fsinxx1fx2fx[17ABC4

]cosB12A18PABCDABCDMBDPBCl1OMPAD2l

12nn12112nn12121nn11222PCPAD

19A{tttt{01}1n}αxy+x+yy]nα01MMnBABαB2AM0B

111111111111111参考答案一选题共10小题，小分共40分）z2+i|Az2+iz

B

C3D5aaAMa

BMa

Caa

DMaaaMax

cosxxA

B

C

Dx

oxsinx

ABCB1BABCA

B

C

D1BABCABBB

11111111111BCDADDBABCV

m①m②nmnm③mnmnmnA0

B1

C2

D①mnmn①②nmmm②③mnmm③④nnmn④A1B

C

Drr2r2rhC

yxxAC

BDfxcosxx2cos

xx+cosx+1xxxt1tft2t2ftfxxx12cos2+cosxfxxf

+t112t2t+1t

t[][

1]ff2++1DABCsin2

ABCA

B

C

Dsin2

cosB

a2c

xsing01AgB

C5x

3

1111111111111111111111111111Dx

fxsinx0

gxx+

g15xsin+

cosxgxsin5+

cos505xkx

kZ，xx

9xsinx+D

cos9x

10M2ABCDBDBDCCPBCCPAPAA

B

C

D3]BCAFAOAPBCAEFEFMNABCDBDBCCC

1111111111111111111111111AMMNAMMNMAEEFAMNEFPBCCPAEFF

O

PEFAF

[

]二填题本题5小题每题4分共20分）11ii

i

z1+ii12cos

+x

cos

+xsinx

cosxsinx2sinxx

sin2xcosx

13MNCMMANCCABMACCMCA60BCm150m的AMMNAAM100MAN60eq\o\ac(△,RT)ABC45100AC100

mAMCMAC756045MNAAM

AM100MAN60

m100

150m14fAsin+x

x+fxf1

2

π

f

xAsinxA

ωf2sinfxAsin+A2x1f02sin1

2sin

2f

10

+]

12015①PABDC②PABPDC③PDC①③①②PDCllPABl

③①DCCDPABABCDABCDCD②PDClll

③PDCl

ABCDllCD①③三解题本题4小题每题10分共分16fsinxx1fx2fx[

]121fxsinxx2π

k[

]kZ2

xx

ff

17ABC412A

cosB

1

a

inA1B0sin0

a

ab2

+2

2cosB

sinsinAcos18PABCDABCDMBDPBCl1OMPAD2lPCPAD

ABCDOM2BCBCPADPBCl3PCPADPADBNPADPBCl1ABCDACMPCOMOMPAPADOM2ABCDADBCADPADBCPADBCPBC

12nn12112nn12121nn11222PBClBCl3PCPADABCDADADPADBCPADBNPADBCBNBNBPADlPCNBN19A{tttt{01}1n}αxy+x+yy]nα01MMnBABαB2AM0B

iI

20+1+01II0011

001