1

2017-2018

20181

: :

1 8 28 100 120

2

3

4

8 2 16

1A sin A2

2A

A15 B30 C45 D60

2

A B C D

2 3 4

3 B

ky

x

0k B BAx ABC

y C AOCB 6 k

A3 B6 C-3 D-6

4O ABC A = 50BOC

A40 B30 C80 D100

5 2 6 5y x x 2( )y x h k

A 2( 6) 5y x B 2( 3) 5y x

C 2( 3) 4y x D 2( 3) 9y x

2

6ABC C B E A D E

AC ADACB=30DAC

6 7

A60 B65 C 70 D75

7AB O C O C O AB D

A=25D

A25 B40 C50 D65

8 450 . y

m ts.

A

B

C. 100m 2

D 15s 15s

8 2 16

9

10 xOy A B 0 2

1 0 AB x B

'B 2 0 A 'A

( 10 )

E

D

CB

A

3

11PAPB O AB C AB

C APBP DE AP=8

PDE

122y x bx c A03B23

( 11 )

13O 3 ABCDEF O AB

14 ABC ,C=90BC=6AC=8 D AC BCD BD ,

C AB E , AE

15 xOy CDE AOB

AOB CDE

( 13 ) ( 14 ) ( 15 )

16.

O 0 A 1 B 5 AB

B 1 C

A AC M.

M ________.

( 16 )

6 5 30

172sin30 tan60 cos60 tan45

xA B0 1

C

5

O

OF

E D

C

BA

4

18 x y

x 4 3 2 1 0 1 2

y 5 0 3 4 3 0 5

1

2

19 ABC AB=ACBDAC DAC=10cos A=4

5 BC

20AB O CDAB E ACBC

1 A BCD

2 AB=10CD=8 BE

D

CB

A

5

21AC O

1O ABCD

2 AC=4

22

D1.5 DAM 30 DF 40 m

EEM 60MF

0.1m 41.12 73.13 45.26

4 6 24

23 10m

5m

1

_____() B ______

2 6m

5m

10m

x

y

x

y

x

y

A O B

2

O

BA

3

BO

A

1

A B C

D FE

M

6

24AB O CF O C BF C AF AF

E AB D

1DE O

2 3tanD=3

4 AE .

254 25 4y x x

1 x x y

x -2 -1 0 1 2

y 4.3 3.2 0 -2.2 -1.4 0 2.8 3.7 4 3.7 2.8 0 -1.4 -2.2 m 3.2 4.3

m=

2 xOy

3

4

4 25 4 0x x

x1y1x2y2 x2 >x1>2 y1 y2

y1 y2 (>

7

26 xOy y=mx22mx3 (m0) yA xB

C

1 A B

2ACB=45

32 Px1y1 Qx2y2 AB

Nx3y3 x3

8

28 xOy P P x 1d y 2d

1 2d d 1d P 1 2d d 2d P .

P 3 4 x 4 y 3 3 < 4 P 4 .

1 A2 5

B a 25a

2 C 2y x C 5 C

3O M M 5O r .

x

y

12345 1 2 3 4 5

1

2

3

4

5

1

2

3

4

5

O

9

2017-2018

2018. 1

8 2 16

1 2 3 4 5 6 7 8

C A B D C D B D

8 2 16

9 10 11 12 13 14

2

yx

() (3,2) 16 x=1 4

15 16

AOB O 90 x

() 15 1 1 . 1

6 5 30

17 2sin30 tan60 cos60 tan45

12

2

13 1

2 4

13

2 5

181 1 4 1

2( 1) 4y a x 2

03 2( 1) 4y a x 1a

2( 1) 4y x 3

2 5

19AC=ABAB=10

AC=10 1

RtABD

cos A=AD

AB=

4

5

AD=8 2

DC=2. 3

2 2 6BD AB AD . 4

2 2 2 10BC BD DC . 5

x

y

1234 1 2 3

1

2

3

4

1

2

3

O

10

201 AB CD

BC= BD. 1

A BCD . 2

2 OC

AB CDCD=8

CE=ED=4. 3

AB =10

CO =OB=5.

RtCOE

2 2 3OE CO CE 4

2BE . 5

211 2

2

AC =4

OA =OB=2. 3

ABCD O

AOB=90 4

2 2 2 2AB OA OB 5.

22:AB=40CF=1.5MAC=30MBC =60

MAC=30MBC =60

AMB=30

AMB=MAB

AB=MB=40 1

RtACD

MCB=90MBC =60

BMC =30

BC =1

2BM =20 2

2 2 20 3MC MB BC 3.

MC 34.6 4

MF= MC+CF=36.1. 5

MF 36.1 5

O

EDC

B

A

D

B

CO

A

A B C

D FE

M

11

23

11 B 5,0 1

( 5)( 5)y a x x 2

0,51

5a

1

( 5)( 5)5

y x x 3

2 3x 1

( 5)( 5)5

y x x 16

5y =3.2 5

3.2m 6

21 B 10,0 1

( 10)y ax x 2

5,51

5a

1

( 10)5

y x x 3

2 2x 1

( 10)5

y x x 16

5y =3.2 5

3.2m 6

31 B 5, 5 1

0,0

2y ax 2

B 5, 5 1

5a

21

5y x 3

2 3x 21

5y x

9

5y = 1.8 5

5 1.8 3.2m 6

x

y

x

y

x

y

A O B

2

O

BA

3

BO

A

1

12

241OC

C BF

BC= CF

BAC FAC 1

OA OC

OCA OAC

OCA FAC 2

AEDE

90CAE ACE

90OCA ACE

OCDE

DE O 3

2tanD=OC

CD=

3

4OC=3

CD=4 4

OD= 2 2OC CD =5

AD= OD+ AO=8 5

sinD=OC

OD=

AE

AD=

3

5

AE=24

56

25 1m=0, 1

2,2

3 y , () 3

4

59

44

a

261 y=mx22mx3 (m0) y A

A , 30 1

y=mx22mx3 (m0) 1x

B ,01 2

2ACB=45

C , 41 3

C y=mx22mx3

1m

y=x22x3 4

3 1 2 35

23

x x x 6

O

F

E

B

CD

A

y

xO1234 1 2 3 4

1

2

3

4

1

2

3

4

5

13

271 2

2

CBE CAD

CBECAD 3

CBE=CADBCE=ACD=904

CBE+E=CAD+E

BCE=AFE=90

AFBE5

3 2 7

2815 1

5 3

2 C 5

5x 5y 5y 5x . 4

5x 5y

5x 7y

5x 3y

5y 7x

5y 3x

C 5 33 5 . 5

35 5 2r .7

A

C

B

D

F

E