Filipa Isabel Caires Silva Licenciatura em Matemática (1º ciclo de Bolonha) Universidade da Madeira Relatório de Estágio Pedagógico apresentado para a obtenção do grau de Mestre em Ensino da Matemática, orientada pela Professora Doutora Elsa Maria dos San

(1)

!"

#

! "

$

(2)

i

! " ! " # #

" " $ %

& ' ( ) ' *

! ' + * '

, " '

-(-*./

-(-*./ 0 % "

! ! 1 +

2 " ! 3 !

% 1

- %

(3)

(4)

iii

! " "

" #$% & ' (

) " * +,- . /

0 1

2 3 . 4 2

+,- 5- !

#$%

( .

6 +

7 8

( " . 3

" "

. 8 "9

.

3 6

" #$% ) " * &

' : ( +,-+

( .

) ; ) ( #$%

(5)

(6)

v

-# = &

= = = = =

&

$%# & ' > *

) +, ? .$ = = & $

= 8 = 2 = 2 3 . 4

2 = +, = ? 5

& = $ $ & $%#

= .

# = = & 6 + # $%#

@ 7 # &

. #

= = . # =

.

= 6

$%# * ) & ' &

> +, + = &

(7)

(8)

(9)

1

!" # $ % &

' ( ) * ' +

,,

- . ,&

+ / /

,&

0 /

1/ 1

,2

3 " ( + . 4

,#

0 . 4 ,

0 5 6 / 7

( * 8 */ $

$ . 4 / $ 2

9 :

4 ; 6 7,

4 72

(10)

(11)

3

!"

< = ,## >,?

4 + $ /

+ / 1 8+ 1 9 $

- / / @ + = @

A = <. 4?

B + / + /

= + $ - . 4 / / C + +

* = / / 5 / B

. 4 % ' ( ) *

' + = , D * = @ / 5 / / ;

- $ / . 4 / $

= $ E / >

• * + / */ F

• 0 4 / 9 1 1

F

• 3 ( + . 4 F

• 0 . 4F

(12)

4

' G+ - . 4 / 8+ /

/ $ = - C / /

5 0 / @ - C 5 - /

/ / $

-A 5 / = - H' 5 = + B / E 5

/ = @ 5 E 5 + E / I < / = ,##7>, &? * =

. 4 / / = = 5 / = @=

- / $ / / H/ I /

(13)

5

!!"# !!$

%

&

'

( )

*

' +

' / J K / - + G

0 / E +

-/ 0 E ' % ' (

) * ' + = / + ( 3 . ( L

9

0 8 + / = / 5 /

= 9 0 + 5 $ E /

- 5 = 5 /

/ 5 = / - 5 +

/ + - + / 5 5

A - $ / = 5

-; / = /

/ - / / / > /

8+ = C = 5 $ /

= C = /; + /

/ ( @

5 + = / / / B = +

+

-9 - 5 =

( 38 . 4 / E 5 =

/ E = - + =

0 E /

/ = = G - / +

(14)

6

9 - 8 #D * , D* = C =

/ B - + - 8 /

= 8+ = D 4 '

0 / - / M /

+ + - =

- - $ 9 =

/ / > /

-9 / 5 /

/ N

-+ - +

B /

4 /

5 + + / A /

= + G+ - 8 A

5 / /

/ = 5 / 5 5 + E+

9 5 / @E - $ /

= - $ - / /

-0 - @ @ / C E /

$ E 5 + - H 5 E E E I= @

/ / = / O

* ; $

-- / / / / /

E / $ / = M +

/ - - G+ @ / / -

-/ / ' G+ = - C - / +

5 / $ 9 - / / - /

- @ /

4 5 ; = 38 . =

(15)

7

/ 8+ =

/ / #D*

M , D*

* / - / B = @

/ B + - = + = +

= + / / =

/ + =

-8 / 5 = @ 8 / - +

/ B . / @

/ 8 = 1 5 1 ; 4 =

= + $ 5 1 5 1 ' / / /

/ 5 5 = =

/ 5 / 5 / / B

/

* - @

-/ - 5 = @ @ /

= / = / - = C = /

A = 11 - 8+ C C + / / 11 @

5 - 11 <4 P = 7> 27?

O / = K + =

/ ( / 4 Q / =

5 = / / 5 5 /

/ $ R 6 = R

O - C S 6

5 = # $ % = R =

6 = 5 /

/ = @ + 6 /

!" #

A / / 8 = + - K +

/ A 5 / = 5 =

(16)

8

5 ( = 5 - / / 8 5 - =

;

45 / 8 0 5 - C 5 + / 4 @

A + / / + + A / 8

+8 = / = = = + $ - C 5

5 = C 5 - = C =

= C $ / / N

-5 C 8

-= - / / + / =

5

9 / 8 - - + @ / =

5 = + / + - =

, D * / / . 4

$ % = , D * 5

- , D* = = #D * =

+

* / / / / /

= M / @+ R / = M /

5 5 = / / 8+ / $

+ + +

( = / B / 8 / =

/ =

M + / / + + / /

A / 8 = 5 = +

/ #D* / /

+ , D*

A / 8 = #D* = $ +

+ + R 6 = R ' T 5/ = @ =

$ C = & ' (I H&

(17)

9

= / 8 1 + 1 - = @

/ / + / 5

/ + $ / 8

- 5 + / =

- / + / 5 ; =

- 5 / / */ - / @

/ = G+ - @ / = - + +

- 11 /

/ 11 / - + 5 / /

(18)

(19)

11

,

* = - ( - =

/ 5 = 5 5 <

? - / , D, = M

5 5 = AG !" #

/ $ +

+ = + / /

G > $ # = $ ) $ %

* $ +@ + + + $

R 6

A $ # = M / C + 5

+@ / = C 5 + !D *

0 + / / $ #

-$ / M $ =

/ / / / / $ # = $ +

$ ,

A $ ) $ % = $

+ ; C R 6 = +

/ / - $ / 8 8 = /

+ = @= ; =

= + =

--M

A - $ / * $ =

+ ; + = 5 $ - @ =

/ =

= ; " ; 5 $ ; " ;

+ 0 + B / O

; = + / M

(20)

12

( U/ V 5 - =

/ + 8 /

/ / = . + /01 = 4 A

5

A G = $ + +@

$ . 6 / < ?= R

6 * + 2

-- = - $ / 8 = / 8

/8 8 = 2 = / / + /

= C / =

+ + / @ = *(,=

R 6 / 4 6 = / =

/ $

= @ + / ) !

/ / - $ = C =

*(, 3 )

= M / + + = +

* <* ? = @ =

-= / / /

( $ + + + 5

+@ = C = / /

+ / 8 +

= / = +

/ = / / 8+ - G+

/

. @ = $ 8 / 5 + O N

- / ; 5 @

+ / 5 5 = + $ - / /

(21)

13

= $ + $ - + =

/ / / $ , D, K

8 / + - $ $

A = @ $ / 5 = / 5 =

= 5 5 = /

(22)

(23)

15

-

.

/

*

+

0 *0

( / + / @ (

% 5 4 5 < ,?= + /

- / + / B

N + / = / / /

= + / = @ = @ /

+ $ = + / =

/ - $ + = / / =

/ / ( ( < 2> ?= /

/ / 11 $ / 11

( =

= + E =

5 = + =

/

4 + = - $= *

< 7?= @ 5 + / ' G+ - 5

- @ / + $ -

-5

* . 4 - = / =

- * - - @ > 4

2 5' G+ = - $ /

+ /

(24)

16

+ - + 5 / =

= / / = / $ # =

= + =

/ / +@ / R = / / =

=

6 = / $ /

+ @ @ - 5 % / +

- / = C / / 8

' < ?= 8 . 4 / E

/ 5 / / + 5 / =

E / 5 5 = / 5 1+ / /

1= C = 5 / = / C = @ = =

C = / $ B - @ $

/ @ / - /

/ - + + $ = /

= / @E - / /

1 1> / $ ( = *

<,##!?= - / O = /

/ - / $ $ /

. B 5 = @

-5 C + / / / = / / + +

/

N / M + - /

+ 5 0 E +

/ = / <,##7?= @ / / /

(25)

17

1 2 0

3

4

5

K / - / $ =

/ <,##7?= @ / B /

/ / + + + / B - = / + $ =

- 8

' G+ - / B + / / /

+ ' 6 5 < ,?= / B /

/ / $ @ / + +

/ B R / / / =

/ / /

( = / B / 5 C @

/ @= + / / /

= = / / = / =

+ 5 / @ 5 M 5 / / 0

- @ / / 11 @

-+ / F @ / / - / + / $ 11 < / =

,##7>!,?

( 4 + < ?= / @ / C

+ + / / + / = @ + /

- + + + - /

= = = - @ C 1 5 1 /

= @= / /

. / / / $ =

/ + / / + + + = /8 8 =

- + /

' <,## > ?= +B / = 11

-/ = - / $ $ F + 5

(26)

18

C + / / - +

$ + + +

= $ / $

< ? ' = = W <,##X? W @

W < ?= / $

' = @ >

< ?= < ?=

! < P? < R 5?

0 / / / /

/ = C = 5 /

/ + : / / @ / $ E

-/ A - /

/ / +@ / Q060 %*' 4

$E / +@ A + + + - $

8 R 6 = @=

$ R / 8+

5 / +

( . 9 <,## ?= - @ / @ - $

/ - / $ = / + $ @

8 / + / / 5

/ / + / $ / +

' . 9 <,## ?= / $

/ / - / / / A =

@ J 1( - + $ + / =

/ Y1 N - 5 C

= / 0 @

-+ 1 1 = / $ = @= / $ +

/ = G+

5 / / / / =

1Q P 1 <( R P?= - / 11 @

(27)

19

* $ / +

/ = ( < 2?= +

1 1= C + - = /

O = 1 1 / - - - C / - ;

= / - $ . 4

-= - + @ + =

-/ 5 = / . 4= / /

/ 1/ 1 / Z

/ $

6 ( +

/ 2

+ $ / Z / $ E 8

-/ /; / / $ = = . 4

- 5 +@ / =

/ = + $ 4 +

= Z / $

/ = . 9 <,## ?= E 8+

= - / = / + =

/ / 5 = @ E 8+

= / / / + = - @ / $

+ + $ . 4

/ = E + C = 5 C =

/ / / / = ( < 2?=

= / C /

= C = / = 5

= / +B $ + +

(28)

20

@ / - / +

-5 /

0 + $ +

@= 4 + < ?= + + " ! =

! " " = ! #!!$ ! / 5 =

/ = / 9 # %$ /

$ 5 / $ 5

- / * + @ /

+ + & = @= . 4 + $

- $ / / 8+ /

= $ / 5 /

= @ / / B

+ $ . 4 @= +

< ?= / +

" = "/ = / "/ =

/ "

A + = . 4 @ / $ +

' [ <,##X?= + @ = /

- + M = /

M . @ =

-/ $ / = G+ /

= / + + /

B / 8+ - * / 1/ 1

- E

= / M /

- 4 Y ' = 4 + <,##2?=

/ / $ / - - /

5 / / =

/ / $ 5 = / - = C =

(29)

21

K + $ . 4 @ - =

/ / G B

@ - / $ R +

0 / $ + @

+ = + $ - > / + / @

/ = / / / /

* / . 4 @

/ + $ - / + /

-+

( / - . 4 / +

- / - / / /

/ + +

- / O + 5

1 / 2

( = = 0 + 3 < ?= / / / @

/ / / $ = / + $=

/ = C = / + 1% 1 <1 /

1?= / / 1 / 1 = @ = /

/ / / + = / + =

/ = = @= / 5 / / / /

/ Z / $ = = $

4 . 4 / / / E =

@= / / 5 / / = = / - 0 /

/ / / 8+ / / /

= / / + /

(30)

22

= 5 E = = /

+ - 5 / $ " < / ' =

,##2= 5 />""RRR /E E / " " E\ / / =

> ?= / >

= / = / B - . 4 / / / E

= C + /

-= B - ; ; / / . 4 @=

; - / / / > 11 5 / ;

@ . 4F / R F /

+ R + F / . 4 ; Z

/ $ F" < ' $ = ,##!= 5 />"" / / ". 4 /

> ?

0 / / / / / /

+ + M / $ @ 5 (

Q / < ? / @ @ 11 11 / $ = C = $

- / $ C = = / +

* + / / / / / Z

/ $ / 5

-/ 5

' ( < 2?= / + / /

/ / B - = / =

$ + + = + + / C

8 = / - = C / / /

/ B + C

' ! ( ! ) ! ( !

9 4 ; / $

4 ( = /

(31)

23

= C = /

5 -

-4 = < !?= / - $

-- / 8+ =

- = / > / = (3(= = + / C = C

/ / + E +

$ 5 = / / / O + @ - /

-/ " < = 5 />""/ E

/ " !" 7" E/ E E E 5 = !?

( = / / / =

+ $ - G = + =

/ - @ B = / / /

/ @ 8+ = / / / + / / ' (

< 2?= / + / =

/ = $ E = / - / 8+ = M

/ = / $ / 5 / /

5

K 8 / - + /

/ = ] P <,#!,?=

/ / / / = @ / - 5

+ + / @ / + $ / / = @

-= - $ - /

' <,##!?= / / /

/ + + + $ - / /

/ - / = = C +

-/ $ + + + =

-/ 5 = / 8

+ + $= / /

8 / / = /

(32)

24

4 = / / @ = / =

* < 7?= / + = =

/ / / $ = / $

= C = G / = R / 8+ /

+ / = @ / ' G+

-+ / / = / = M

/ = @ = / 5 / 0

-@ - / 5 - R @ / = G+

/ / / 4 / / = / /

+ / = =

- - $= / /

/ + / + 1 1

+ + + ' / = / B /

$ / / B @ - / @ / $

/ 5 = / $

/

0 / 8+ @ / /

- + / - $ = /

G+ = + "<% 5 4 5 = ,>72?

1

7

0

0 5 = =

-4 + $ = @ / 8+ 5 /

5 / = / $ @ - + + 5

= C = + + / = =

/ / = 5 /

+ + $ / = / G+ = E+ /

= @ / / ( ] P <,#!,? / + Z

(33)

25

/ / = G+ = / / /

/

K + 5 / @ + + Z

5 = C = 5 /

/ - G = / =

; = $ = / 8+

5

' * < 7> 7? 5 + + 5

/ @ / / = / @ 8 11/

/ $ / / 11= @ = @ / 11 5

5 C / 11= 11

- / + $ - B / 11 0

- / 5 + @ /

/ = / 11 + / $ / /

/ / + / / - / /

5 11 <* = 7> &?

' G+ = * < 7? / B / 5

(34)

(35)

27

8 (

*

9 *0

%

/ 2

0 %

3 :

$ 5 5 - 5 +8 / ( /

( = / = - 5

+ / + + +

/ = / / / 5

= + / /

/ $ + + + / = 5 =

/ + / 8+ @

+ = / 8 / $

/ > / / / + / / * =

- - = / - = E

-8 ( = 5 / / /

= / = / E / / = /

-+ /

= R 6 C R + =

E / = / 5 - / R

/ + / $; > / / - = /

+ + / = 8

$ R / * $

/ - / 8 / - + R

= C = - +@

R 6 = / / + E =

6 C + / 8+

* ; - / + / $

/ / / / . @

- / 8 / / $BE / =

(36)

28

.8 5 / $ +

5 $ % 8 R 6

' + $ / $

$ . 4

A ( * / - - / =

C = - 5 $ %

+@ $ + + + = $

/ $ = R 6 / - @

-$ 5 = 2 = /

/ 5 @ + ' @ - = G

- B $ . 6 / $ R

6

* + @ - /

-= 5 / + /

* = / / $ /

< ?= / - + 5

- / /

. @ @ + - $

/ - + E /

= C =

- $ / M @ / / =

5 / / + @ - $ / M /

/ 0 ) )

/ @ + = - $ / M

-$ = $ ; =

+ C $ 8 + @

-0 / + @ =

-+ = 8 / =

$ / + = / = - $

/ + / 8 =

(37)

29

+ / = / 5

+ + +

+ E @ - $ / 2 +

/ / = / / + / = / / - =

; + = /8 + + =

+ + 6 = - $ / M /

/ ; = @ + /8 8

8 * 2

+

* + /

- B = * # 7 R

6 +

= - / 5 /

+ + + (

-/ / = G+ = /

C M- / - = / M

+ - - / = E

+ / / / 5

4 + 5 - $

. @ / - + E + 5 - +

+ + = @ / / / B

-' - = 5 R + / B

+ + / /

= / 5 5 / / <

?= C C + / / / $ +

$ , $ # ! 0 + E +

- = + 5 5 - '

-+ / - 5 0 +

8 / / + 5 $ / +

= @ / - + G+ R =

(38)

30

A 5 / / /

/ 5 = / / / / + 5 =

- / R 6 9 8

1 / 1 @ 5 5 / =

5 + / 1 1 G

A + # * = / - - O /

/ / 5 = C / $

G / :

- 5 + / + + + $ =

/ / - +

/ 4 >

> E K C @

-/ @ - Y

. > E 9 Q

. / M - >

> E - ; / > < ?8 ₌ = - - =

- + Y

> E N

. > E N $

* / / = = /

+ - - = . = / + +

- 5 $

0 / / O / O

-/ + / = /

+ $= + * = 8

- _> @ = _< @

- ₌ = @ @

(39)

31

' @ - / ;

$ + 8 = 8

4 C 6 = / C - /

> E 8+

> E : 8 Y

> E 3 ^ =+ ∞^

, - - / Y

4 - 5

8 8 = + $ / - ;

-* / E / C

/ - - /

-8 @ C G = C = E

_− ∞ + ∞= ^ 3 - - 5

-- / @ =

G+ - ;

> E 0 @ - @ / + Y

. > E ( _ ,= &F− + ∞^

> E @ - + + Y

9 > E ( _ ,= &F₋ _−∞^

> E * - / - / =

@ + _− ∞ −F ,= &^

(40)

32

> E : @ / Y

> E 9 + ,=&

> E ( $ - @ Y

. > E A = @ E,=&

> E 4 @ - + B / Y

9 > E /

> E 4 J - @ /

Y

. > E @ <E,=&F ?

> E 3 B - + - + 5 5

/ 0 - / Y

> E 0-@ / $

9 > E 0 / 88

> E 4 5 /

-88 - $ Y

9 > E ' $

> E ; - / Y

> E 0 / @ $

> E ( - @ /

88Y

. > E N < = ?

> E * G+ Y

. , -A

= 5 5 - 5 C +

(41)

33

/ A C / R = / + E

/ B / / = C + 5

C / ' - + E

= + - ; - O

-/ /

*/ = + E + + 5

/ + = + / G / / / = - $

-/ $ = / >

38 > E / + + YI

> E K $ 6 C =

/ - B - / @ 8₌ Y

38 > E - - + / / @ 8=

> E 8 ; / -₌ <8 2₋ ? = _≠ =

- + Y

> E A

W > E

> E 3 B - / + Y

/ - C /

-38 > E C + 8=2

> E ( $ Y 0 / Y

> E ' - - 8 5 -₌<8₋ ? 8= =

- 8 5 -_{= −} <8₊ ? 8= − = C = @ / +

2

> E + + / 5 4

0 0 = 1# + * ! /

$ / / B > 8

(42)

34

/ 5 5 = + 8

/ A + E - 5 5 5

N / / 8 - + +

- + + / - 5 / /

* = /

/ = - + $ + / / - 8 =

-/ = 5 = >

> E 3 - + . / / J

= -₌&<8₋ ? ₊, + B - - =

+@ / = 8 = 8 = - /

+ / $ / +

C

> E @ = - @ / /

@ 8= = +@ @ < =,?= 8 @ = 8 @^,=+∞^=

+ / + * / + / /

-+ @ / +

> E 9 $ 8 + @

/ / / - + - /

4 - M 5 5 $ /

= - /

/ - 5 - + + R /

/ G 0 5 - / =

(43)

35

: / - $ = /

5 ( / = + - E /

/ / * 5 /

/ - / @ / = B

-- = @ + =

-$ + B 4 5 5

@ = 5 / - ;

' @ - $ +

/ + 8 4 8 5

-/ = G+

-A 1# * M +

+ + * + $

= @ = +

-< ? 4 - / $

/ 5

- B

-> E = - + / - @

-D / $ @ / @

W . > E @ @ + $

> E / = <8?₌8 ₊& 4 @ - + B

$ Y

> E % $

> E * 8 + =&

> E ' @ - + - D Y

W . > E W % / / G /

(44)

36 >

> E 8 _{= −}& @ / 8+ I

> E ' = - / Y

> E 0 C + $

> E ' 3 / 0

-+ Y

. > E * $

> E *5J - $ - - C + $

$ Y

> E ' = G+ = / / /

* $ R 6 @ / 8+ /

+ - - M + - / =

= - / O

-R 4 - ;

@

A = + / + =

8 - / - / - 5 +

A + * = / / $ 5 =

- + R / 5

5 / 5 - +

A * * 2 / * $

< ? ' - * @ $ =

= Z . < ? - + @

@

A 5 / + $ R

6 G + - = / $

/ 6 ' - / =

(45)

37

> E = C / 5 8 Y

> E ' @ / A 5 $ = - 2@

- $ E 2 / - - 2@

- $ + 2 /

9 > E 4 / @ / / - /

/ = / - = / = / = + -

-. @ / $ - + / C /

G+ - / = @ G+ =

/ / / $

9 = * 3 $ . 6 / <

?= / 5 - 5 + 5 = 6

A = / 5 =

C + / = = + + /8 - / =

/ +

6 / W . = . W 9 , - / + C

- $ 6 > 6*.0 3 4.0 *QI

' - = = / 5

A + + + + - - /

(46)

38

. 6 / / E / 5

/ /

. @ = 9 =

5 - = - H 9

7 I 9 / E - / + /

/ $ A = - / = @=

/ B / 5 / / /

A + = / $ @

/ - R 6 9

- / E / +

/ / = +@ / =

/ M A 5 / / /

/ 5 / 5 /

/ = + / = C = + /8

- /

N / - / B /

/ = / / $ /

/ = - - / G+ / 5

0 / @ - 5

/ + / = 5 = /

M ; / - = 5 +

/ / =

= $

Z + / - @ / C / +

0 - = @= 5 / =

- / $ / / 5 - Z Z

= =

(47)

39

0 + /

/ 5 =

-/ E A + E

+ / / - $ + E

/ 0 / 5 + E H I= +

(48)

(49)

41

; 2

<

A / + / B $

9 / B

- = / = 4 !! - = / - 5

B - / 5 = / +

-- $ / R =

( / = @ / B / + =

- . 4 C / + / / =

/ /

A / - $

/

+ $ E

/ / / - ; /

/ B / / B +

B / = - G+ Z + / /

/ = - + / G C + >

/ $ $ 7 = / $

# = $ ) $ % = : . $ %

* $

A / + @ / /

- = / / 5 + / @ - = = = /

= E / + $ 1 1 /

/ / / = - =

+ / E - = * < 7?= C =

- 5 - / 5 / = = /

+ $ = / / = /

/ + +

+ + / / C +

(50)

42

4 + $ - / + ;

+ / = / / 8+ / $

+ . + $ / - 5 5 /

@ / 5 / B / - = / + $ =

G+ - / + +

M - 5 5

. / = / / B / =

/ / = + $ E 5

/ 1/ 1 / = - / 8+ /

/ / / = C E /

- / + $ 1 1 + M 5

) - @ / / = / /

/ - $ / A 5 / = / C

= / 5 M

/ / / / = R - + $ =

/ - / / +

K / - B - / / / $

+ + + @ 2 2 : $ +

- ; = @=

1 1 - / $ /

/ N - = @ / - ; = - /

- / M / ( - - = @ /

-/ @ / = @ - $

+ - / / - +

* - ; + - /

-/ 8+ / / = @

C / = + $ /

-/ ' + / / B = /

-/ / = 5 $ - C 5

(51)

-43

A 5 / 6 R 5 /

$ % + / /

/ = 5 - 5

/ ' G+ - / R /

/ / $

4 = + / / /

5 0 = - +

-W <,##X?= - - 8

5 = / - $ +

( + @ - / G /

-/ / = @= - / C + E

- G+ = - - + 5

6 - - + / A 5 /

5 / @ / / / $ @ + M

/ B / @

/ $ G = / / +

-/ 8+ /

4 - @ / / / / 5 /

/ 5 = * < 7?= =

= B / / / 5 = / 8+ =

+ $ - / + / / M

$ ' G / /

-; - = @ @ /

/ B - + / - $

/ $

A 5 5 - / / /

/ / / / 5 = / - =

/ / / / / $ ( / + +8

5 - B + - - + 8

(52)

44

/ $ - / 8+ / / $

-4 + 5 / / C + /

- 5 = - / /

/ / $ 4 / - / 5

-8+ 5 / =

/ $ * =

5 + - + @ = C

-$ + + + + / / 8

( = 1 1 / $ =

/ / = / / / / E

/ $

( + - / / / $

= / - = = 5 / $ /

4 =

-/ / / A 5 / = /

- + = - + 1 @ E/ 1 @ / =

@ / 8+ - = / = B / / =

C = $ E - /

9 $ . 6 / $ R 6 = 5 / =

5 = + $ - 5 E

/ = @ / + = @

- + @ + = ( < 2? 4

- + . 6 / = - / +

/

: $ = / C +

5 5 + - + E

+ - / /

' G+ - / = @ = /

(53)

45

$ - + /

-+ / $ +

/ = / / / /

-/

-A / / B . 4 =

(54)

(55)

47

= 2

# *(, 3 )

YI - - /

/

' G+ - Z

+ / / / $ 5 = , D,

- / + . 4

+ + / + /

@ = / $

W - / ; - + 5

6 / - + + + = 5

= 5 / / / =

/ ;

- / 5 / 8 M 5

/ / = / 5 / 1 1=

- @ + / = / - - /

/ +

. B / = / G

/ = @ / = / / /

- C 5 1+ 1 5 Z

' / + = + + 5 /

G+ / = = G =

+ + 5 / = / @ /

5 @ = / / 5

H / Q + I= + - $

(56)

48

A 5 / = $ / = $E

- / = 5 = G+ -

-8 + / 8+ / /

- /

/ / 5 +

>'

?

@

0 '

?

9

7 A

%

0 A 0

0

7 B

(57)

49

" &

• % 5 = W 4 5 = 9 < ,? H ; ,

6 < I < L ? Q 4 >

` C . F

• 4 = 4 < X? H = 2 ) "! <XL

? Q F

• 4 P= * < 7? H 5 = I 5 F

• ( = < 2? * / B '

; > = # = # Z F

• ( = W < 2? . '

; > = # = E F

• ] P = % = <,#!,? ? 2 I

< L ? Q Q + ` $ F

• = 4 <,## ? * / '

; > = = , Z F

• / = ' <,##7? # , <

! * > * @ F

• = W 4 + = * <,##2? +

(58)

50

• = W = W * = <,##!? H ( '

; ( I <,L ? 4

+ F

• = W 0 + = ` 4 5 = ` ' = <,##!? A 6

( "!<,L ? + F

• . = 3 ( 9 = W 4 <,## ? ' , .3 <

B I <,L ? Q @

Z 6 <6 ?F

+ ! !# !,

• * 6 5 = a ( $ ' + < ,? @

C

4 != #=

5 />""RRR / " "/ " " / " [ (9F

• 6 5 Q = Z * 2 +

*(, ' 4 != #=

5 />"" / / "/ " . / F

• W + < ? # <

4 != #=

5 />"" / " " " " / / F

• W - 5 < !? ?

4 A + &= != 5 />""/ E

(59)

51

• W * < 7?

4 != #=

5 />""RRR / " "C/ " " "6. EW E* / F

• W W 9 / < ? +

; ' + ; 4 !=

#= 5 />"" / " "#X\ E \ < ? / F

• W @ W Q / < ? # !

4 != #=

5 />""RRR / " " C / F

• % < ? ( ; , 2

4 A + &= != 5 />""RRR /E E

/ " " E\ / / F

• @ < ,? 4 # /01 # !

4 ' != 5 />""RRR E

/ "/ "/ b5 " b b<2X?5 / F

• 0 < ? ?

D *(, 4 A + &= !=