examen national 2008 br.sc v. et t. 1 re session maroc sph svt/physique et...examen national 2008...
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-
ا������
:����ع ا�����ء��� ا����ر��� �� ا��ء)1-1 )1 ��
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-- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
1-2 (�� :ا�+*ول ا��'�& �%����
د�! ا���#�
!� آ��ت ا��دة ا��-*م ا��Vc ��45ة 0 0 0 ا�2*�1! .1
�! ا����ل� x x x 45ة�� xVc −.1 !�1 ا���! ا�67
fx fx fx 45ة�� xVc −.1 � ا���* و�87 ) 1-3-�
أن ا��ء �>�#�� ��45ة 5;ن ��� ا����ر��� ه� ا������ :
0. max1 =− xVC ⇐>�?@ا��-*م ا :VCx .1max = &1]: وا��-*م ا�67 ]VOHOHnx f .)( 33 ++ ==
&1: A>2! ا��-*م ا�67[ ] [ ] 2
2
01,3
21
3
1
3
max
1077,90977,010
10
10
10
.
. −−
−
−
−++
×=======pH
f
C
OH
VC
VOH
x
xτ
1��! ��5mg500 ا����ر��� ��� N�.
---- -- ---- --- --- ---- --- --- ---- ----- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ----
3 (3-1 ()(
56)(
676)(
56)(
686aqaqaqaq
COOHHCOHCCOOHCOHC +⇔+ −−
41,1101010
10
)/(
)/( 04,42,4122
1
2
1
5656
676686 ≈===== −−−−
−
−pkApkA
pkA
pkA
A
A
A
Ar K
K
COOHCCOOHHCK
OHCOHCKQ
- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- --- --- ---- ---- -- --- 3-2(
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!�KQr: �ن @ ��Tر ا��+�� �! �ازن.≈� &5 &65. - ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
1& ا�-��2 UT�NS4 ا7VRC 1 (
�Aن ) 1-1? W�2T��!�5
إ�7S*� ، N�Yا��� 4ات 5& دارة ا� :Uuu Rc =+
�� :dt
diRiRuR .. dt: و ==
duc
dt
ucd
dt
dqi cc .
).(=== ⇐
2
2
.dt
udc
dt
di c=
: أي2
2
.dt
ucdcRuR =Iو� &%S U: �� ��2 ا�#M?! ا�و�< آ�
dt
udcRu cc =+ 2
2
.
�ZA:cR.=τ !�%��%< ا��#د�! ا��� ���75 :Udt
udu cc =+ 2
2
τ
---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- --- --- ----
1-2( )1()( τt
c eUtu−
−=
τ: إذن τ
tc e
U
dt
du −= !�%�
��#��S 5& ا��#د�! ا���� :Uu
dt
udc
c =+2
2
.τ
UUeUUeeUeU tttt =−+=−+
−−−−ττττ
ττ )()1( : إذن)1( τ
t
c eUtu−
−= �� ،!�%�
د�! ا���#�%� �� CR.=τ
- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- VUuc: 5& ا�7\م ا�*ا1] ) 1-3 300== --- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- --- --- ---- --- --- --- ---- ----- ---- --- --- ---- -
1-4 (JcUEc 4,5)300(101202
1
2
1 262 =×××== −
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- ���د ?� 8 ا��4��46آ! ) 1-5 !T4ة ��ا�^�N�^ *7 ا����* �2:VEo 5,1=
?! ا���46Tن ا��� !A`_و��1! ا�
aK��5& ا� :JJcEE Oc 510.135,0)5,1(101202
1
2
1 3262 %� ���A �A��ms2,1=τ. ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
2-3 (τ=rc ⇐ Ω=××== −
−
1010120
102,16
3
F
s
cr
τ
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- c�Kا� NS4�ا�� :
1 ( 1-1(
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: �MH Nل ا�4Yوط ا�2*�1!
N��24آ� 6� !��7* ا�%�\! (��+6! ا�>4ot = (αα
sin.
cos.
VoVoy
VoVoxVO =
=�
6Aا��4ة ��ز �Z` ، MH Pل �4آ�6�
f-5 .
&%S
U�� N ��7� &A آ�Kن ا��AGamP: ا�#M?! ا��#42ة �N ا�-�
�
.=
ط -�g�%< ا����ر �ox >%� ���A :xam.0 = ⇐ 0=dtdvx xvوه& ا��#د�! ا����%�! ا��& �--6
⇐ tex Cv =αcos.VoVx: و�87 5;ن =
ط �%< ا����ر -�g�oy >%� ���A :xamP .=− ⇐ gaY −= ⇐ gdtdvy yv: ا��#د�! ا����%�! ل=−
.': و�87 5;ن CtgVy �7* ا�%�\! =−+ 7S*� !�1*24وط ا�Yل ا�MH N� 0=t :αsin.Vovy = ⇐ αsin.' VoC = &���..αsin: و� VotgVy +−=
--- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- 1-2( >%� ���A !�1*24وط ا�Yر ا�2���:
+−=
=
tVotgy
tVox
)..(sin.2
1
)..(cos
2 α
α
د�! ا��>ر#� :α
αtgx
Vo
xgy .
cos..
2
122
2
+−=
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- 1-3 ( 7S*�mxB 15=� >%� ���A ر
د�! ا��>#� &5 �S�#��By:
mmtgtgxVo
xgy B
BB 566,4459,5796,020.1520cos.40
)15(105,0.
cos..
2
122
2
22
2
2! �%_او��°= 24α4ة�4 ا��4ة 5& ا��� f-< �*7� Q ن�� mOQx ==0 و==120 Qyy :V] #�ض 5& �#د�! ا��>ر
24.12024cos.
120.10
2
10
22
2
tgVo
+−= ⇐ 43,535.862722
=OV
smVO /2,40= ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
2 ( :درا�! �4آ! ا��4ة �5ق ا��>��ى ا�5-&) 2-1
�Z` R ا��4ة ��4�Vj ا��>��ى �
6Aو��ز P�
. &%S
U�� N ��7� &A آ�Kن ا��AGamRP: ا�#M?! ا��#42ة �N ا�-
�
��
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ط �%< ا����ر -�g�ox >%� ���A :xmaf 02: أي0−=2
=+ fdt
xdm !4آ�� !�%� وه& ا��#د�! ا���
.ا��4ة�4آ_ ?��ر
-
2-2( 7S*� !-�MH N� :2ل ا�#M?! ا�>3
2
/5,01045
1025,2sm
m
fax −=
×
×−=
−=
−
−
أذن �4آ! ا��4ة �>�-���!
!kl
م ��2\�A . ��4�mة �- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
2-3 ( !�MH N� :1vatvل دا�! ا�>4 += � ا��4ة �>4�! �7#*�! إ�< ا���4ة MHل �*ة ز��7! �>وS! ل� :s4 ⇐ 1)4.(5,00 V+−=
smV /21 = . -- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- ---- -- ---- --- --- --
NS4�1ا�� : &�#^gط اY7�� nSرjا��: 1-1 (o��د�! ا��#�:
XeC AZ+→−01
146 ⇐ 14=A 7 و=Z
NeC 14701
146 +→−
--- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ----
?! هIا ا����ل ا��7وي )1-2l:
[ ] [ ]MeVMeVccMeV
cuccCmemNmcmE
75,27479,2)/(5,93100295,0
.00295,0.0111,1400055,00076,14.)()()(.22
2222
−≈−=××−=−=−+=−+=∆=∆
2 (2-1 (17
2/1
1039,33655600
2ln2ln −−×=×
== JoursJourst
λ
-- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- --
2-2 ( 7S*� :to eaa.. λ−= ⇐ t
o
ea
a .λ−= ⇐ ta
a
o
.ln λ−=
joursansJoursa
aa
a
t
o
o 5,14122225427,8111711039,38,21
7,28lnlnln
6+≈=
×==
−= −λλ
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- � ا���Mد o?4B222 ا�>��7! ��ا�& )2-32? !7�.
- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- SBIRO ABDELKRIM
Royaume du Maroc fr.yahoo@sbiabdou Adresse éléctronique
Msen messager : sbiabdou@hotmail.fr
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