examen national 2008 br.sc v. et t. 1 re session...
TRANSCRIPT
ا
:ع اء ار اء)1-1 )1 د! #:
-- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
1-2 ( :ا+*ول ا'& %د! ا#
! آت ادة ا-*م اVc 45ة 0 0 0 ا2*1! .1
! ال x x x 45ة xVc −.1
!1 ا! ا67fx fx fx 45ة xVc −.1
ا* و87 ) 1-3- أن اء ># 45ة 5;ن ار ه ا : 0. max1 =− xVC ⇐>?@ا-*م ا :VCx .1max =
&1]: وا-*م ا67 ]VOHOHnx f .)( 33++ ==
&1: A>2! ا-*م ا67[ ] [ ] 2
2
01,3
21
3
1
3
max
1077,90977,010
10
10
10
.
. −−
−
−
−++
×=======pH
f
C
OH
VC
VOH
x
xτ
1<τ&%4 آB إذن ال. --------------------------------------------------------------------------------------------------------
رج) 1-4H : ا[ ] [ ]
[ ]686
3676
OHC
OHOHCQr
+− ×=
[ ] [ ] pHf
V
xOHCOH −−+ === 106763
[ ] pHff cV
xc
V
xVcOHC −−=−=
−= 10
.11
1686
[ ] [ ][ ]
4401,32
201,3
1
2
686
3676 1006,110058,11010
)10(
10
)10( −−−−
−
−
−+−
×≈×=−
=−
=×
=pH
pH
rcOHC
OHOHCQ
K! اازن ا-4وI6 !Aا ا :4, 1006,1 −×== éqrQK.
--- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- -
2 (2 -1 ()(
2)(
676)()(
686laqaqaq
OHOHCHOOHC +→+ −−
- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- 2-2 ( L5MH N :BEBAAل M?! ا VCVC .. = ⇐
LmolV
VCC
A
BEBA /10425,1
10
5,9105,1. 22
−−
×=××==
- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- :آ! دة ار اQدة 5& ا-4ص) 2-3
molLLmolVcn A33 1085,22,0/1025,14. −− ×=××==
:آ%! ار اQدة 5& ا-4صmggmolmolgnMm 5005,01085,2/176. 3 =≈××== − N آ ?4ص Sي %< 500C &7# ا>! 5mg500 ار 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(
!KQr: ن @ Tر ا+ ! ازن.≈ &5 &65. - ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
71& ا-2 UTNS4 اVRC 1 ( Aن ) 1-1? W2T!57 إS* ، NYا 4ات 5& دارة ا :Uuu Rc =+
:dt
diRiRuR .. : و ==
dt
duc
dt
ucd
dt
dqi cc .
).(=== ⇐
2
2
.dt
udc
dt
di c=
: أي2
2
.dt
ucdcRuR =Iو &%S U: 2 ا#M?! او< آ
dt
udcRu c
c =+2
2
.
ZA:cR.=τ !%%< ا#د! ا 75 :Udt
udu c
c =+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& ا7\م ا*ا1] ) 1-3 300==
--- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- --- --- ---- --- --- --- ---- ----- ---- --- --- ---- -
1-4 (JcUEc 4,5)300(101202
1
2
1 262 =×××== −
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- د ? 8 ا446آ! ) 1-5 !T4ة ا^N^ *7 ا* 2:VEo 5,1=?! ا46Tن ا !A`_و1! ا
aK5& ا :JJcEE Oc 510.135,0)5,1(101202
1
2
1 3262 <×=××== −−
& @ SN ا#ل هIا ا#د aK NY اض . و---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
2 ( 2-1 (
-- ---- --- --- ---- --- --- ---- -------- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
2-2 ( >% A Ams2,1=τ. ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
2-3 (τ=rc ⇐ Ω=××== −
−
1010120
102,16
3
F
s
cr
τ
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- cKا NS4ا :
1 ( 1-1(
: MH Nل ا4Yوط ا2*1!
N24آ 6 !7* ا%\! (+6! ا>4ot = (αα
sin.
cos.
VoVoy
VoVoxVO =
=
6Aا4ة ز Z` ، MH Pل 4آ6
f-5 .
&%S U N 7 &A آKن اAGamP: ا#M?! ا#42ة N ا-
.=
ط -g%< ار ox >% A :xam.0 = ⇐ 0=dt
dvx xvوه& ا#د! ا%! ا& --6
⇐ tex Cv =αcos.VoVx: و87 5;ن =
ط %< ار -goy >% A :xamP .=− ⇐ gaY −= ⇐ gdt
dvy yv: ا#د! ا%! ل=−
.': و87 5;ن CtgVy 7* ا%\! =−+ 7S* !1*24وط اYل اMH N 0=t :αsin.Vovy = ⇐ αsin.' VoC =
&..αsin: و VotgVy +−=
--- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- 1-2( >% A !1*24وط اYر ا2:
+−=
=
tVotgy
tVox
)..(sin.2
1
)..(cos
2 α
αد! ا>ر# :α
αtgx
Vo
xgy .
cos..
2
122
2
+−=
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- 1-3 ( 7S*mxB 15= >% A رد! ا># &5 S#By:
mmtgtgxVo
xgy B
BB 566,4459,5796,020.15
20cos.40
)15(105,0.
cos..
2
122
2
22
2
<=+−=+××−=+−= αα
.ا4ة T*م Y+4ة---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
1-4( !S7>2! %_او°= 24α4ة4 ا4ة 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
+−= ⇐ 43,535.86272
2=
OV
smVO /2,40=
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- 2 ( :درا! 4آ! ا4ة 5ق ا>ى ا5-&) 2-1
Z` R ا4ة 4Vj ا>ى
6Aوز P
. &%S U N 7 &A آKن اAGamRP: ا#M?! ا#42ة N ا-
.=+
ط %< ار -gox >% A :xmaf 0: أي0−=2
2
=+ fdt
xdm !4آ !% وه& ا#د! ا
.ا4ة4آ_ ?ر
2-2( 7S* !-MH N :2ل ا#M?! ا>
3
2
/5,01045
1025,2sm
m
fax −=
×
×−=
−=
−
−
أذن 4آ! ا4ة >-!
!klم 2\A . 4mة - ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----
2-3 ( !MH N :1vatvل دا! ا>4 +=
ا4ة >4! 7#*! إ< ا4ة MHل *ة ز7! >وS! ل :s4 ⇐ 1)4.(5,00 V+−=
smV /21 = . -- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- ---- -- ---- --- --- --
NS41ا : &#^gط اY7 nSرjا: 1-1 (oد! ا#:
XeC AZ+→−
01
146 ⇐ 14=A 7 و=Z
NeC 147
01
146 +→−
--- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- ?! هIا ال ا7وي )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
---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ----- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- 7! ?2 اMد o?4B222 ا>7! ا& )2-3.
- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- -- ---- --- --- ---- --- --- ---- ---- SBIRO ABDELKRIM
Royaume du Maroc fr.yahoo@sbiabdou Adresse éléctronique
Msen messager : [email protected]