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ISBN 978-7-5160-0387-9

6~10

2 5 62 1 3 6

J

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12

3 x t v t

2009 2019

09 10 11 12 13 14 15 16 17 18 19

- 1 -

1 1 11

2

1

2

1 A BC D

A

2 ABCD

D3

A BC D

D

1 1 21

- 2 -

2

t/s0 1 2 3 4 5

1s 2s

3s

3s

1 A B 4s 4sC D 10

A 4s 4s BC 10 D BD

2

0 1 2 3 n1n t/s0t 1t 2t 3t 1nt nt

A t2 2s 3s 2sB 1nt ~tn nsC t0~t2 2s 2sD 1nt 1n s

t2 2 3 2s 2sA 1nt tn n B t0 t2 2

2s 2s C 1nt n 1n s DB

1 1 312

1 ABCD

AD CB C

- 3 -

2 AB A BCD 400m 8

AA B B

C 400m 8D BC

1 1 4

1 v svt

2

3

1 t v2t

2v 3

2t

A v B 23

v C 34

v D 56

v

ts 1s vt2t s 2 2 2 4

v t vts

154

3 62

vt vtv v

t

D2 1v 2v

t svt

1 2

2v t v tv

t1 2

2v v

3 200m 50s

v

4

2 22 44

- 4 -

200 m/s 4m/s50

svt

1 1 512 0tv v v t

3 0tv va

t

4 v av a v

5 a v0

1 23m/sa2 22m/s 23m/s

1 a v

2

1 A BC D

AB

C D

2 8m/s 12m/s 0.2s

A 200 m/s2 B 200m/s2 C 100 m/s2 D 100m/s2

2 20 12 8 m/s 100m/s0.2

tv va

tC

112m2m s

- 5 -

1 2 112

1 0tv v at

2 20

12

x v t at

1 ABCD

C

2 12m/s 25m/s1 2s23 2s

1 0tv v at

2 12m/s 5 2m/s 2m/sv

2 0tv v at 0 0 12 s 2.4s5

tv vt

a

3 20

12

s v t at 22

112 2m 5 2 m 14m2

s

3 2004 3s 54m3s

A 18m B 24m C 30m D 36m

3s 23 3

12

x at

2 232 2

3

2 2 54 m/s 12m/s3

xat

22 2

1 24m2

x at

3s 3 2 30mx x C

mmmm22

55 m2222 mm 1 m4

B 2BB 244mmm244m

- 6 -

3s 3s

4 x x t 24 2 mx t t

A 0 4m/s2 B 4m/s 2m/s2 C 4m/s 0 D 4m/s 4m/s2

24 2 mx t t 20

12

x v t at 0 4m/sv

24m/sa D

3 2 20 2tv v ax

5 2m/s 2m/s2 6m/s

2 20 2tv v as

2 2 2 20 6 2 m 8m

2 2 2tv v

sa

6 10m/s 2m/s2 4m/s

2 20 2tv v as

2 2 2 20 4 10 m 21m

2 2 2tv v

sa

a

7 v 2v s 2v4v

2 20 2tv v as 2 24 2v v as 2 216 4 2v v as 4s s

8 L

v2L

A2

v B2v C

33

vD

4v

a 2 2v aL2

2vaL 2

L

2

2 22 2 2 2L v L vv a

LA

4 012 tv v v

9 8m/s10s

C33

vv A

v 2a2 L aa2v2

- 7 -

0 8 8 4m/s2 2

v 8 0 8 4m/s2 2

v

4 10m 40ms vt10 54m 9s 54m

6s

54m,6s54m,9s

3s4.5s 4.5s 3s

154 6m/s

2 9A Bv vv 2

54 9m/s2 6

B Cv vv

A B C

9s 154 6m/s

2 9A Bv vv

6s 254 9m/s

2 6B Cv v

v

22 1 9 6 0.4m/s3 4.5

v va

t

11 2007 4s 45

216m A 60m/s B 2m/s2

C 30s 450m D 30s 600m

4s216 54m/s

4v

0 0 01 4 92 5 10

v v v v 0 60m/sv A

0 01 4 3

5a v v

tm/s2 0

1 20svt

a

0 11= 6002

s v t m 30s 10s 600m AD

31 I II III 1 3 5 2 1NS S S S N

2

0553 m/sm 2

600 mmm 300ss

- 8 -

1 2 3 1 2 1 3 2 1nt t t t n n

12 2s 3s 4s

1s 2s 3s 4s 1:3:5:7 2s3s 4s 3:5:7

13 v

A 1 2 3: : 3 : 2 :1v v v B 1 2 3: : 3 2 : 2 1 :1v v v

C 1 2 3: : 1: 2 1 : 3 2t t t D 1 2 3: : 3 2 : 2 1 :1t t t

1: 2 1 : 3 2

3 1v a 2 2 1 1 2v a a 1 3 2 2 1 1 3v a a

3 : 2 :1 3 2 : 2 1 :1 D

v1 v2 v3

12 13 2

0

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1

1 2 3: : : ... : 1: 2 1 : 3 2 : ... : 1nt t t t n n

1 1 11 2 1 3 2 1

tt n n n

1 28n

16n

2 9 t91

9

19 8

tt 9 19 8 6 4 2 st t

4 T 22 1 3 2 ......s s s s s aT

15 A B C 6cmAB 10cmBCAB BC 0.2s A

AB BC 0.2s 2x at

1

:: . :: 11

nn nn n22

- 9 -

2 22

0.1 0.06 m/s 1m/s0.04

sat

AB 20

12

s v t at22 2 0.06 1 0.04 m/s 0.2m/s

2 0.4As atv

t

1 2 21

a g

212

h gt v gt

1 30m/s m2s m/s 1s m g 10m/s2

2 20 2tv v gh

2 20 45m

2tv v

hg

2s 21

1 20m2

h gt

1 20 10m/s2

hvt 0tv v at 30 3st

g

2 45 20 25mh 45 10 252 h 20m/s h g 10m/s2

A 20m B 40m C 80m D 160m

212

h gt 2htg

20m/s2

h gv ht h

80mh

3 0.8mh 1msg 10m/s2

h

s

h t1 h+s t2

h 21

12

h gt 12 0.4shtg

h+s 22

12

h s gt 22 0.6ss ht

g

2 1 0.6 0.4 s 0.2st t t

4 2s34

m g 10m/s2

hh

h2 1gt22 11tt 00 4s

- 10 -

t 2 21 1 3 12 12 2 4 4

g t gt 4st

21 80m2

h gt 80

5 200m 4s

m g 10m/s2

t 2 21 12 2

gt g t t h

4st 200mh 7st 21 245m2

h gt 245

21 0tv a g

23 v0 g

0tv v gt 20

12

x v t gt

4

6 320m 210m/sg

A 40m/s B 60m/s C 80m/s D 100m/s320m 2 2

0 2tv v gh 0 80m/sv

7 40m/s g 10m/s2

12 5s3 60m

1 00 40 4s10

vtg

2 2 20

1 140 5 10 5 75m2 2

h v t gt

4s 4s 2 21 0 1 1

1 140 4 10 4 80m2 2

h v t gt

5s 5s 2 22 2

1 1 10 1 5m2 2

h gt

t 000 g2ggh

- 11 -

5s 1 2 85mh h h

3 20

12

h v t gt 2160 40 102

t t

3 2st 4 6st

8 A tA BtB AB A Bt t

2At 2

Bt

2At 2

Bt

A

B B

A

AB 2 2 2 21 12 2 2 2 8

A BA B

t t gh g g t t

1 2 31 s t

s

tt1

A

O

s

tOb

cd

e

a

1

23 a b c d

e

1 x t

x/m

t/s

12

6

O

AB

5 82

C

A 1st 2m/s B 1st 23m/sC 6st 2m/s D 6st 22m/s

b

xx

- 12 -

1st 3m/s A B 6st2m/s C D C2 a b

3

1

3

5

t/s0

b

/ mx

a2

4

A aB a bC a b 2 3D 3st a b

a b b AB a b 2 3 C

3st a b D C3

x t

O

x

tt1

A t1

B t1

C t1

D 0 t1

t1

A B t1 C0 t1

D A

2 v t

tt1O

A

s

v v

tOb

cd

e

a

t1

- 13 -

1t

t1 aA t1 s2

a b cd e

3 v tv t

12

4 v t v

tO

v

tO

v

tO

v

tO

A B C Dv a v a

B5 v t

v/

t/s1 20

1

2

3

m/s

A 0 1s BC D

vat 1

0 23

vat

22 m/s3

22 m/s3

22

2 1 1 m/s2 2

vat

B B

6

v/(m/s)

t/s0

5

14 18 225

12

-12

A BC

D

E

DD

2

a v

- 14 -

A CEB BCC DD BC 34m

CEA B D D

C5 12 4 m 34m

2BCs

D ACD

7 v t 2s m s2

6s m s

v/ m·s-1

t/sO 1 2 3 4

4321

5 6

2 20 4 0 m/s 2m/s2

tv va

tv t

6s4 6 m 12m

2s

12 m/s 2m/s6

svt

2 2

v t

1 2 41

12

- 15 -

1 2005 m/s 2m/s s

0

10

10 20

v/m·s-1

t/s

0 8m/sv 2 20 6 8 m/s 0.25m/s8

tv va

t

6m/sv

20

12

v t v t at

216 8 0.252

t t t 16st 8 0.25 16

v t

2 A B 7ms A 4m/sAvB 10m/sBv 22m/sa

A B

vA=4m/s

A B

vB=10m/s

B t 0Bv at 0 5st

B 20

1 25m2Bs at

A 5s 20mA As v t5m 0B As s AB

A B B A B t

A Bv t s s 8st

sA v tv

BB

- 16 -

1 ABCD

2 ABCD

3 ABCD

4 1s 4m/s 2sA 2m B 4m C 6m D 8m

51s 2s 3s A 1:2:3 B 1:22:32 C 1:23:33 D 1:3:5

6 v t

1 2 3 4123

t/s0

1/ m sv

5 6 7

A 1st 1.0m/s2

B 5st 0.75m/s2

C 3s 1.5mD

7 2s 6m/s 3s 8m/s

76 t//tt s//t

- 17 -

8 6s 2s 2s _______9 12m/s 0.8m/s2 20s

_______

104.0m/s2 85m/s

5.0m/s2

11 3m/s2 6m/s

12

- 18 -

1 2m/s

A 3m/s B 4m/s C 6m/s D 2 2 m/s2 5 0.5s 1 0.5s

A 5 B 9 C 10 D 253 A B A B

A

2-1

1

t/s0 31 4

2m/sa

A A B A B 4B A B A B 4 AC A B A B 4 BD A 4 A

4 T s1 A Ts2 B

A A 1 2

2s s

TB 1

2

sT

C 2 12

s sT

D B 2 132

s sT

5 v t 00 ~ t

v1

v2

tO t1 t0

v

ABC t1

D 1 2

2v v

vvv t

- 19 -

6 ______________

1 3 4 6

12345

t/s

v/ms-1

0 2 57 6m/s 2m/s2 2s m

4s m8

AB0.015s 6cm A g

10m/s2

A

B

9 1 0.5mL 2 3.7mL 0.8mH

210m/sg

L2=3.7m

L1=0.5m

H=0.8m

10 1 11mL 60m/sv

50m/sv 2 600mL

22m/sa12

- 20 -

1 AA

BC D A

2 B

AC BD B

3 ABA

BC

D

4 C24m/sva

t

2s 2 21 14 1 4 1 m 6m2 2

x vt at C

5 C21

2x at 2

11 112 2

x a a

3s 1s

2 22

1 11 2 1 42 2

x a a a

6s 3s2 2

31 11 2 3 1 2 13.52 2

x a a a3 3

1 2 3: : 1: 8 : 27 1: 2 : 3x x x C6 B

0 2s21.5m/sva

tA 3s 7s

20.75m/svat

B 3s

aa 22121 4a44

11 11

3s2

- 21 -

3 1m 3mx C 1 2 3m 3m2

x

1 4 3m 6m2

x D

7 22m/s 7m/s

20 2m/stv va

t1 6 8 m/s 7m/s2

v

8 1:52 2 2

1:3:5 2s 2s 1:59 90

0 12 s 15s0.8

vt

a20s 15s

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v tx

10 v tv/(m/s)

t/s

85

o tt1

1 1v a t

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t

1 285 85 85 m 1626m

2 2 4 5vx t t

111

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ta

21 1

1 6m2

x v t at

2 2t2

2 212

v t at 2 4st 2 2 12m/sv at

6m sm/s

- 22 -

1 D2 2

0 2v v ax

2 2 2v v ax

2 202 2 2m/sv v v

2 B

212

h gt

1 0.5s 21 1

1 1.25m2

h gt

5 0.5s 25 5

1 31.25m2

h gt

4 0.5s 24 4

1 20m2

h gt

5 0.5s 5 4 11.25mh h h1

9hh

B

3 D1s A 2s A

2s 3s A 4s AA

4 D4 ACD

A 1 2

2s s

TA

2x aT 2 12

s saT

C B

1 2 2 1 2 12

32 2B A

s s s s s sv v aT TT TT

D

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t1 C

1 2

2v v

D6 20.5m/s 2 0.5v t

s2 s 1111s 333s3T

2

T2s2

2T1 CCCC

- 23 -

2 20 5 2 m/s 0.5m/s6

v va

t 0 2m/sv

2 0.5v t7 8 9

0 3svt

t

2s 2 22 0

1 16 2 2 2 m 8m2 2

s v t at

3s 4s 3s 4s0 6 0 3m 9m

2 2tv v

s t

8 3.2m22 6 10 m/s 8m/s

0.015xvt

A2 2v gh 3.2mh

9 1t 2t

21

12

H gt 21 2 2

12

L H L gt

1 0.4st 2 1st 2 1 0.6st t t

10

1 1+v at v

160 50 s 5s

2v v

ta

21 1

1 275m2

x v t at 1 300mx v t

1 36mx x L x

2 2 10sLt

v

t 212

x v t at

611mx10st

L22L 10ss

t xx vvx ttt 111 at 2

- 24 -

1

2345678

2009 2019

09 10 11 12 13 14 15 16 17 18 19

- 25 -