學年河省神州智省級聯測三（上）二次考試數學試卷一選題本共8小題每題分共分。每題出四選中只一項符題要的{x1}B{50}A[5

B3

C01]

D[51]sin

A

B

C

DABCBCacB135a

cA2BC3A4OP

D+

+2Ay

B2

Cx3

Dxy6AB

aaCDxcosxsinx

A+Cx

kk

BDxk

kkxax+lnx[

Aa

B

Ca

Dx+22x

x的ex

xflnm2mA1B

C

D二選題本共4題每題分共20在小給的項，多符合目求全選的5分，分對得2分有錯的0分AtanC2

BθDtan10pAp11+bBtanqk

121212121112121212111122Cx1lne

+11Dqxx2a2a011A

tanB

Csincos

Dsin

+sin2

112fxAx[fxf]0BfxfxCffD[+fx]三填題本共小題每題5分共20分其第第空2分，二分13exe

x

+

cos2

15tanmsin2m16

xxxfxga0h

hxa四解題本共6小題共70分解應出字明證過或算驟.17fcos+

cos+

1f2

2gx[0]18abcBC

cosC

cosBacos+

12112112a2

ABC19f3

+ax

+

1+1f'fx21f20xf'x+20DEF1221ABCac+12cos224cosAABC22e2a201fx2ffx2a

參考答案一選題本共8小題每題分共分。每題出四選中只一項符題要的{x1}B{50}A[5

B3

C01][1]A{3x1}{50}A{0}sin

A

B

C

Dsin

cos

tanD

ABCBCacB135a

cA2B

C3D2cosaa

a

A4OP

+

+2AB2C+3

Dxy6Pxyxy+2λ4+442+3Pxy14B2P

+

+xy+2142242+3mP+Dy

AB

CDxy0DxC{x10}xyBDxyxcosxx+

A+Cx

kk

BDxk

kk+sin2++

+cosx

x

2+

k

x

+

k

+

kZ

aaaaaaaaaaaaaaaaxax+lnx[

Aa

B

Ca

Dxa

2

0x[0y1x+lncosxxaxx

2ax[0

x[0

x2a2x[0y

121aCx+22x

x的ex

xflnm2mA1B

C

Dfxafxx

1e

xm

mmgfloga2xxx+2axa2x+2a2

logaax

2

axxflogx

a2

a

a2

x

a2

xa

x+2ax

a12x

aa2

a

a

1

x

[

+

x

]fx0exx0mlnmxxflnm2f

xf2

lnmex

xm

lnmm

1gm2m2m

mgm11二選題本共4題每題分共20在小給的項，多符合目求全選的5分，分對得2分有錯的0分AtanC2

BθDtan0costan

A

cos

cos+cos

0BCsin22CD，2sintan

ABD10pAp11+bBtanqkCx1lne

+11Dqxx2a2a0BD+2a21b3b0pqtan1Zqpx1x+1Rlnex

lneplnex

1x+1xlne1lne1qpCqfx2axa0121+2a2a0a1p1aqpD11A

tanB

Csincos

Dsin

+sin2

1cos

+

0

+

121212121111212121212121211112121212121212111212

+

tancos

+

+

sincosB0

00C2

sin

+cos

2

1DABD12fxAx[fxf]0BfxfxCffD[+fx]Agxx

Af+xfxfxfxx[fx]xxxgx1xegx0xxgxxefxfxxx

12111121112Cxxxe0xxxffxCD，fx[+fx]

D三填題本共小題每題5分共20分其第第空2分，二分13exex

x

2x0yexyxex01+120yxxyy14+

cos2212

coscos2

θ+

cos2

cos0cos221

2

15tanmsin2m02

22msin2m02

m

16

xxxfxga0h

ha1axxh3hx4xgx4x0fxahxgfx0xga0xghx3h4fg4xfa4x441

四解題本共6小題共70分解應出字明證過或算驟.17fcos+

+

1f2

2gx[0]12yAx+gg[0]1xx+

+

sinx[x+

]sin

x

sin

x

sin2+

x

k

2+

2k+

kxk+

[k]kZ2

ysinx

xsin

[0]

[

][

1]x[

]18abcBC

cosC1

cosBacos+2a2

ABCCCBA2cCC

CcosCCC

cos+acosC+cos

BcosB+sinAcos+sinCcosA0

BcosB+sinACsin+sinBcos

135180301351522

c2sinABC2

2

2

19f3

+ax

+

1+1f'fx21f20xf'x+

+fxa11

ex1

xg11xx2+2ax+a214+4a0aaaf2xxa1xx2xx02+fxx02f0

x022xxx2

2

xex1

xhxex1h1exxx1xg120DEF121DEFAEBABEAE2xyABEABcoscos2+DEFmABCAExDEyBExy

2

DEFABEDEFABEDEF120DEFDE

y2

①ABEBEsin120

xxy②

x2x0x0x2y0xyEFEB22BEyABE2

AE2BE2

2AEBE4y22?272

y

cos22cos11ABE+180AEB602cos60cos221ABCac+

12cos224cosAABCk2++2acosBsinAB2B24cos4cosA+

B2

Acos2AcosABC1kb2cossinBCAcosB

0012100121sinABBABA+BsincosBcosABAABBABA2B24cosA4cos+c

bc4cos2Af2

A2

A

fAtanA0fA0A

fA0S22e2a201fx2ffx

2a

1x0t

ftf'2ftffattfe2x0tex0tf

0tft0ftaff

122112121212