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1-12 Final

From : Oblivious72 :)

2556 : 1

: 29.80 /g m s 223.141529...,7

3sin60 cos30

2 log 10

1. a R b R

1. abb a

2.ab

a b

3. abb a

4. aba b

5.2a

a b

2. y 2siny A tT

,A T

t 0y

3

2

y A

1.2

T

2.6

T

3.3

T

4.3

T

5. 6T

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2-12 Final


3. N 0N 1/2T t

1/20

1

2

t

T

N N

1/8T

1

8 1/8

1/2

TT

1. 12. 23. 34. 45. 5

4. 2

1.16.67 ms

2.16.67 ms

3.14.00ms

4.14.00ms

5.110.0ms

5. R

1. 500R mA

2.6000

mAR

3. 100mA

4.100

mA

R

5. 0mA

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3-12 Final


6. 2

1.A

B

LL

2. 4 A

B

L

L

3. 14

A

B

L

L

4. 2 A

B

L

L

5.1

2

A

B

L

L

7. ( )

1. 2 2. 1

2

3. 1

4. 12

5. 2 8. I

1.0

V

R

2.0

CV

3. 20 1

VCR

R

4. 20 1

VCR

R

5. 20 1

VC

R

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4-12 Final


9. 600nm 25,000 2.5

1. 1

2. 23. 34. 45. 5

10. I 3I

1. 10log3 2. 20log3

3. 10log6

4. 20log6

5. 5log3

11. V 1

P2

P

1. 2 11

2P P V

2. 2 13

2P P V

3. 2 15

2P P V

4. 2 17

2P P V

5. 2 1P P V

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5-12 Final


12. V Q

1. 23

Q

V

2. 32

Q

V

3.1

3

Q

V

4. 53

Q

V

5. 35

Q

V

13. m u M

k m M

1.2mu

k

2.2

Mu

k

3.

2 2m u

k M m

4.

2 2m u

k M m

5.

2 2M u

k M m

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6-12 Final


14. R n

OA 23

n

1.2

R

2.22

1

R n

n

3.22 1

R n

n

4.2 1

nR

n

5.2 1

nR

n

15. m e u 2

1. 0

2.2

u

3.

2

u

4.2

u

5.2

u

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7-12 Final


16. ,M m F 2 M

1. F

2.m

FM

3.M

Fm M

4.m

Fm M

5.M

F

M m

17. i

0

2

iB

r

r O

1. 02 1

1 1

2

i

R R

2. 02 1

1 1

2

i

R R

3. 02 1

1 1

4

i

R R

4. 02 1

1 1

4

i

R R

5.0

2 1

1 1i

R R

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8-12 Final


18. A B

2C

1. 1 21 2

C CV

C C

2. 1 21 2

C CV

C C

3.2

1

1 2

CV

C C

4.2

2

1 2

CV

C C

5.2

C V

19. m M

1.2

2M

M m

2.2

2m

M m

3.2Mm

M m

4. 2MmM m

5. 22MmM m

20. 1 V t

1. T

2.2

T

3. 32

T

4. 2T

5.3

T

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9-12 Final


21. Xe 235 1 94 1

92 0 38 02U n Xe Sr n

1. 14054

Xe

2.140

53 Xe 3. 140

55 Xe

4. 14154

Xe

5. 14155

Xe

22. p 2 ()

1. 2.

3. 4.

5.

23. 2 A B B m

1. 12

mg

2.3

2mg

3.2

5mg

4.3

5mg

5.2

3mg

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10-12 Final


24. m m

1. 2.

3. 4.

5.

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11-12 Final


*25. m R m m B m

1. gR

2. 2gR 3. 3gR

4. 4gR

5. 5gR

********************************

()

14 15 ()

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39 1 5 2556 11.0012.30 .

39 5 2556

11.00 - 12.30 .

- ........................................................................................... ..........................................

.............................................................................................. ...............................................

()

3

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39 2 5 2556 11.0012.30 .

1 10

2

20

1. ( 1)( 3) 0(2 1)

x x

x x

( 7 56)

2. 3 2( ) 2 12P x x ax bx a b

2i ( ) 0P x (1)P ( 7 56)

3. a b A B ABC

2 3b a 2B A cosA ( 7 56)

4. 2 3u i j k 2 4v w i j k

v u w ( 7 56)

5. , ,x y z

2 3

3

2 5 5

x y z a

x y b

x y z c

1 2 3 1 2 3 9

1 3 0 0 1 3 52 5 5 0 0 1 2

a

bc

c ( 7 56)

6. 7 5log 625 log 343 ( 7 56)

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39 3 5 2556 11.0012.30 .

7.

()10 - 19

20 - 29

30 - 39

40 - 49

50 - 59

60 - 69

70

10

35

80

145

185

195

200

50-59 ( 7 56)

8. 7 7 1 , 2 , 3 , 3 , 4 , 5 , 6

3 ( 7 56)

9. 3 2

22 3

n

n na

n n

1,2,3,n

lim nn

a

( 7 56)

10. 3 2( ) 3 9 1f x x x x 1, 2

( 7 56)

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39 4 5 2556 11.0012.30 .

2 5 1

20

4

80

11. S x x log ( 15) 2x x

S ( 7 56)

1. 10 2. 12 3. 14

4. 24 5. 26

12. a

... a 2520 60 ... a 420 4620

a ( 7 56)

1. [200,350) 2. [350,500) 3. [500,650)

4. [650,800) 5. [800,950)

13. ( )P x 4 4x 1

1

z 2z 2 2i ( ) 0P x

(1)P ( 7 56)

1. 3 2. 5 3. 7

4. 9 5. 10

14. O 2 2

( 3) ( 5)1

9 25

x y

1F 2F 1 2OF OF 2F

1F (0,5) ( 7 56)

1.19

5 2. 21

5 3. 22

5

4. 235

5. 245

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39 5 5 2556 11.0012.30 .

15. ,A B C 3 4

() 0AB BC CA

() AB BC AB BC

() AB BC CA BA

() AB BC CA CA AB BC

( 7 56)

1. 0 () 2. 1 3. 2

4. 3 5. 4

16. , , 0 2sin sin3

2cos cos

3

( 7 56)

1.6

2.

3

3.

2

3

4.4

3

5.

5

3

17. 52 5 5 1xx x

( 7 56)

1. 5 2.5

2 3. 0

4.5

2

5. 5

18. 4 14 2 65 2x x

( 7 56)

1. 2 2.1

2 3.

3

2

4. 2 5. 4

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39 6 5 2556 11.0012.30 .

19. 2 3 3 28

2 1210

x y z

x y zx y z

, , , ,S a b c a b c , ,a b c

10,10

S ( 7 56)

1. 13 2. 14 3. 15

4. 16 5. 17

20. 30 A 5 B 15

C 10 3

1 A ( 7 56)

1.44

203 2.

55

203 3.

66

203

4. 77203

5. 88203

21.

a

a a 34%

2a 2a

( 7 56)

Z 0.215 0.34 0.44 0.68 0.88 0.99

0.085 0.133 0.17 0.25 0.31 0.34

1. 58.5 2. 62 3. 64

4. 68 5. 81

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39 7 5 2556 11.0012.30 .

22. 1 1 2 3 9, , , ,x x x x 35

i

ix i

2 1 2 3 9, , , ,y y y y iy a j j

a 9

2

1

i

i

x a

b 9

1

j

j

y b

b ( 7 56)

1. 1 2. 2 3. 3

4. 4 5. 5

23. ( )f x 2 5x

( )y g x ,x y 23x

f g 1, 2

(1)fg

( 7 56)

1. -5 2. -2 3. 1

4. 2 5. 5

24. ( )g x 2

| 1|; 1

1( )

( ) ; 1 2

2 3 ; 2

xx

xf x

g x x

x x

f 2

1

( )g x dx

( 7 56)

1.3

2 2.

1

2 3. 0

4.1

2 5.

3

2

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39 8 5 2556 11.0012.30 .

25. 1 3 5 2 1n

na

n

2 4 6 2n

nb

n

1 n nn a b

( 7 56)

1. 12

2. 0

3. 1 4. 12

5.

26. 3, 2, 1,1, 2,3S 1 2 3

4 5

6

0 , 1 6

0 0

i

a a a

M a a a S i

a

M 1

27 27 ( 7 56)

1.3

2

6 2.

3

4

6 3.

3

6

6

4.386

5.3

106

27. A B

1 5 6A z z z 1 7 4B z z z

A B ( 7 56)

1. 0 2. 1 3. 2

4. 3 5. 4

28. 5

n 9000 n

( 7 56)

1. 100 2. 110 3. 120

4. 130 5. 140

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39 9 5 2556 11.0012.30 .

29. 1,2,3,4,5,6A

2( ) ( ) , ,B p x p x ax bx c a b c A

( )p x S ( )p x 1

0

( )p x dx

( 7 56)

1.1

12 2.

2

12 3.

3

12

4.4

12 5.

5

12

30. f

f

() f(x) = - x 2 3x

() f 0 2x

() f 4x

() f 1x

( 7 56)

1. 0 () 2. 1

3. 2 4. 3

5. 4

Y

X

1 2 3 4 5 6

1

-1

y =f (x)

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