初中數(shù)學(xué)畢業(yè)生升學(xué)考試試題

2016

年初中畢業(yè)生升學(xué)考試數(shù)學(xué)試題卷(三)

53

3

4

27

ABCD

l

MN

AB

BC

AD

ababab

x

xxm

m

,

,

IABCDEFCFDE

ABCD

AB

3BC

ABCD

C

ABCDAD

234512345

1

1

1

ABCD

P

A

AB

BQ

B

BCCD

P

B

PQ

P

eq

\o\ac(△,t) APQ

S

S

t

y

xx≥2

ABCD

ABCBC

2

B

C

h5

0.255

ABCDEFG

55

ABEFG

CD

4

ABCDADBCCA

BCD

ABACABAD

B

4

2

3

1

≤d≤

1

2

3

1

≤d≤

1

32

2ABC

ABO

O

O

ABC

d

d

4

33 2 3

324

2113

2

2

2 ①

x362x2x1②

13xxx22≤x1

yxb

y

k

yxb

y

k

AB

A

mOB

B

BCx

eq

\o\ac(△,C) BOC

kx32

kk 3 11

B

x0y0

y0x0

kx0yeq

\o\ac(△,0) BOC

221 3 3|x0y0|2x0y02kx0y03 2∵k3yx

x1

y3A13

A

yxb

b4

yx4

10

解：(2

3

9

20解：(2

3

9

50

AB

O

AD

OC

AD

F

O

E

DEBECBEDACO2∵OC⊥AD

F

AF2∵OC⊥AD

F

AF

AD

8

Rt

OAF

OF

6.∵∠AOF1∠AOCOAF eq

\o\ac(△,∠C) OAFOCA

AC

A

1∵∠BED∠BADC∠BEDBAD∠C.∵OC⊥AD

FBAD∠AOC90C∠AOC90OAC90.OAACAC

⊙O

2OF

AF OA·AF

40OA

AC OF 3

x

y

y

xA

xM10 OM 33 MA 2

AB

2

480÷2240m/minmin

A

240×1.5360m/minmin

A

10310

10

10

10

0

ykxb

B2480

A 0

10

3EAD

M

x

y360x1200

3

240×0.5120m/min

240×1.5360m/min

2

4802×120240m2240÷1203602.5min

ABC

DEFABCDEF

C

EF

l

ABC

C

αeq

\o\ac(△,α) ABC

EFBC

CEx

xα

AE

α

C

F

EB

EB

E

AD

M

AM

α

C

F

EB

EBA′MDM

MEA∠B′EFeq

\o\ac(△,Rt)

MAEeq

\o\ac(△,Rt)

BFEA′M

A′E

AM1

3 2

MEA∠B′EFeq

\o\ac(△,Rt)

MAEeq

\o\ac(△,Rt)

BFEA′M

A′E

AM90BC1EF2AB1DE2DFE∠ACB45.ACAC

2DF2

2EFB90.ADDFAC

2

A′

DF

∴EA′⊥DFEA∠DEF.∴∠MA′E90AEF45AE

2.∵∠MEB′∠A′EF452B′F EF 2DE

3

B′

B′G⊥B′E

EM

DE

BEM45BGE45.BEB′G.∵∠A′B′C∠EB′G90ABG∠CB′E.∵B′A′B′CABeq

\o\ac(△,G) CBE.AGCExAGB∠CEB′.∵∠A′GB′∠A′GM∠CEB′∠DEM45A′GM∠DEM

AGA′M

A′G

xDM DE 2ykxykxyk′A

AByByykxyk′x

PttP

PDyOA

CDx

POBP

B

tCDQ

ABCQ

t

Q

1

A12

y1

A12

ykx

y

k2k2

ykx

y2x

y

y

2∵AB1OB2OPtPC

PD

BP2tCD

ABCDPDPC

xk′ 2 tx x 22 2

tt t

23①

AB

CD

CD

AB

CDPDPC

PC

1

t1

51t2

51∴PD

2 t

OPt

2

2

2551

t

51

Q

51

ABCQ

②

AB

CD

CD

AB

CDPCPD

PD

1

t1

51t2

51PD

t 2

OPt

2

2

2

51

t

51

Q

51

ABCQ

BQ

51

C

51

C