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1:

:

43 2ln(3) 4ln(2) ln(60) ln

60

4ln

5

2:

x :

2

2

2

2 2

11

1 1

1 2

1 1

ixixz

ix x

x ix

x x

:2

2

1Re

1

xz

x

3:

x :

2 32

1

13

2

2

2

1169 3 log 169

13

ln 133

ln13

3 2

1 2

x x

x x

x x

x x

x ou x

2 31

; 16913

x x

x ;11

;1

13 12.

4:

2010 20111 ² ... 1 1j j j j j :

20112010

6703

11 ² ...

1

1

1

1

1

1

jj j j

j

j j

j

j

j

2 3

3 23 1i

ij e e . 21 0j j.

5:

n** :

31 1

3

3

7 1

8 8

7 111

8 8

1 7 1

8 8 8

1

8

n n

n

n

n

v u

u

u

v

1( )n nv 1

8.

6:

² 1

:1

xg x

x

1

1

x:

² 1/ 1 0

1

/ 1 1 0

1;

g

xD x x et

x

x x et x

/ 1/ 1/ 1/ 1// 1/ 1

// 1/ 1/ 1/ 1

7:

:h 0 :0

0x

h x h alim.

:

20 0

0

cos 1 sin 3

1 cos sin 33

31

327

2

x x

x

x x xh x

x

x x

x x

lim lim

lim

7

2a.

8:

f . ;x f x f xf; ff;

x :x fof x f f x f f x f f x fof x.

fof.

9:

:0 0

4 2 4 1 2 1x x x x

x xx x xlim lim

: 4xu x 4x: 2xv x 2x :

ln 4 4,

ln 2 2

x

x

u xx

v x,.

:

0 0

0 04 2

0 0

ln 4 ln 2

4ln

2

ln 2

x x

x x

u x u v x v

x x x

u v

lim lim

10:

: cos2

u x xcoscos2

1;1u h 1;1

g 1 .:; cos sin2 2 2

x g x h x xg x; g x;

:1 cos 0 sin 02

g h

11:

5 1

:1 2

xf x

x

5 1

1 2 ;a b

1 1

2 2a

5 5

2 2b.

:1 5

;2 2

.

12:

.

" 3 5 " 3;1;1 ; 2;2;1A:3

2 1

6 36

card Ap A

card

1(

C Q Vc :

EC(t)= .

:Q=C.V

EC(t)= C.Vc2. :

2( R1 R2

R1 R2

3( R1 R2

4(

:= RC

: = 2,2. 103 ×47. 10-6

= 0,103s

: =

:0,517s =

(5

UL=L

UL=L ((Asin( t+ )

UL=LA sin( t + )

UL=-LA cos( t + )

6(

:UL=L

UL=L

UL=L

UL= . 20.10-3

UL=100mV

7(

:=RC

:C=

:C=

C= 0,5.10-3F

:C=0,5mF

8(

: =v.T =

=

=

=8.10-5km

= 8cm :

(9

2(11H +1

1H 1

2 H+ 01+ e)

10( :m(X)<Z.m(p)+(A-Z).m(n)

11( : :

- ) (

-- :T=

- :a=

12( (Parabole)

1(

:AH + H2O A- + H3O+

:[AH]+ [A -]=C

2 (

:Ka=

Ka=

Ka=10-pka

:x=[H3O+] :=10-pka

x=

x=

:pH=8,75

3 ( Z :

CH3-COOH + CH3-CH2-OH CH3-COOCH2-CH3 + H2O

4(

Z :C4H8O2

5(

:

6( :

:

7(

v= [ ]

v=

v=2,3.10-4mol.L-1.min-1

8 ( - ) (Mg(s) Mg(aq)2+ + 2e-

9 ( :K=[ AgCl (s)]/[ Cl -(aq)].[ Ag+

(aq)]

10 ( : H2O2 +2 I- + 2H+ I2 + 2H2O

: H2O2/H2O I2/I-

:

2I-(aq) I2(s) + 2e-

H2O2(aq) + 2H+(aq) + 2e- 2H2O(aq)

11 (

12 ( H2C2O4/CO2MnO4- Mn2+/

:

MnO4- + 8H+ + 5e- Mn2

+ + 4H2O

H2C2O4 2CO2 + 2H+ + 2e-

2×

5×

:

2MnO4- + 6H+ +5H2C2O4 2 Mn2

+ +10CO2 + 8H2O