Studyadz 3as-physique-c3-30-44

1. 0
‫ﻣﻥ‬
8
0 1 ‫ﺍﻟﺻﻔﺣﺔ‬
‫ﺍﻟﺸﻌﺒﻴﺔ‬ ‫ﺍﻟﺪﻳﻤﻘﺮﺍﻁﻴﺔ‬ ‫ﺍﻟﺠﺰﺍﺋﺮﻳﺔ‬ ‫ﺍﻟﺠﻤﻬﻮﺭﻳﺔ‬
‫ﺍﻟﺘﺮﺑﻴﺔ‬ ‫ﻣﺪﻳﺮﻳﺔ‬
:
: ‫ﻳﻮﻡ‬
: ‫ﺛﺎﻧﻮﻳﺔ‬
‫ﺩ‬
‫ﻭﺭﺓ‬
:
‫ﻣـــﺎﻱ‬
2018
‫ﺷﻌﺒﺔ‬
:
‫ﺭﻳﺎﺿﻲ‬ ‫ﺗﻘﻨﻲ‬
‫ﺑﻜﺎﻟﻮﺭﻳﺎ‬
‫ﺗﺠﺮﻳﺒﻲ‬
‫ﺍﺧﺘﺒﺎﺭ‬
: ‫ﻣﺎﺩﺓ‬
‫ﺍﻟﻔﻴﺰﻳﺎﺋﻴﺔ‬ ‫ﺍﻟﻌﻠﻮﻡ‬
: ‫ﺍﻟﻤﺪﺓ‬
4
‫ﺳــﺎﻋﺔ‬
‫ﻭ‬
30
‫ﺩﻗﻴﻘﺔ‬
‫ﺍﻻﻭﻝ‬ ‫ﺍﻟﻤﻮﺿﻮﻉ‬
‫اﳉﺰ‬
‫ء‬
‫اﻻول‬
‫ﻋﻠﻰ‬ :
13
‫ﻳ‬‫ﺰ‬‫اﻟﻔﻴ‬ ) ‫ﻧﻘﻄﺔ‬
‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬
(‫ﺎء‬
): ‫اﻻول‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
04
‫ﻧﻘ‬
‫ﺎ‬
‫ط‬
(
‫ﻋﻠﻰ‬ ‫ﺗﺤﺘﻮﻱ‬ ‫ﺩﺍﺭﺍﺕ‬ ‫ﻣﻦ‬ ‫ﺗﺘﻜﻮﻥ‬ ‫ﺍﻟﻜﻬﺮﺑﺎﺋﻴﺔ‬ ‫ﺍﻻﺟﻬﺰﺓ‬ ‫ﺍﻥ‬ ‫ﺣﻴﺚ‬ ‫ﺍﻟﻀﺮﻭﺭﻳﺎﺕ‬ ‫ﺍﻫﻢ‬ ‫ﻣﻦ‬ ‫ﺣﺎﻟﻲ‬ ‫ﻭﻗﺘﻨﺎ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻜﻬﺮﺑﺎء‬ ‫ﺗﻌﺘﺒﺮ‬
‫ﺛﻨﺎﺋﻲ‬
‫ﻗﻄﺐ‬
-
RC
-
RL
-
LC
-
‫ﺍﻟﻘﻄﺐ‬ ‫ﺛﻨﺎﺋﻲ‬ ‫ﺳﻨﺪﺭﺱ‬
RC
‫ﻭ‬
LC
‫ﺍﻧﻈﺮ‬
‫ﺍﻟﺸﻜﻞ‬
-
1
-
: ‫ﺍﻟﺘﺮﻛﻴﺐ‬ ‫ﻓﻲ‬ ‫ﻣﺴﺘﻌﻤﻠﺔ‬ ‫ﻛﻬﺮﺑﺎﺋﻴﺔ‬ ‫ﻋﻨﺎﺻﺮ‬
ƒ
‫ﺗﻮﺗﺮﻩ‬ ‫ﺣﻘﻴﻘﻲ‬ ‫ﻣﻮﻟﺪ‬
E
‫ﺩﺍﺧﻠﻴﺔ‬ ‫ﻣﻘﺎﻭﻣﺘﻪ‬
r=20Ω
.
ƒ
‫ﺳﻌﺘﻬﻤﺎ‬ ‫ﻣﻜﺜﻔﺔ‬
C
.
ƒ
‫ﻣﻘﺎﻭﻣﺘﻪ‬ ‫ﺍﻭﻣﻲ‬ ‫ﻧﺎﻗﻞ‬
R=40Ω
.
ƒ
‫ﺫﺍﺗﻴﺘﻬﺎ‬ ‫ﻭﺷﻴﻌﺔ‬
L
‫ﺩﺍﺧﻠﻴﺔ‬ ‫ﻣﻘﺎﻭﻣﺘﻬﺎ‬
0
r
.
I
.
‫ﻗﻄﺐ‬ ‫ﺛﻨﺎﺋﻲ‬ ‫ﺩﺭﺍﺳﺔ‬
RC
):
02
( ‫ﻧﻘﺎﻁ‬
‫ﻧ‬
‫ﻭﺿﻊ‬ ‫ﻓﻲ‬ ‫ﻗﺎﻁﻌﺔ‬ ‫ﻀﻊ‬
1
:
1
(
‫ﻣﻜﺜﻔﺔ‬ ‫ﺗﻮﺗﺮ‬ ‫ﻟﺘﻄﻮﺭﺍﺕ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺍﻥ‬ ‫ﺑﻴﻦ‬
(t)
c
U
: ‫ﻫﻮ‬
ௗ୙ୡሺ୲ሻ
ୢ୲
൅
ଵ
ୖ஼
Ǥ …ሺ–ሻ ൌ
୉
ୖେ
2
(
‫ﺷﻜﻞ‬ ‫ﻣﻦ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺣﻞ‬ ‫ﻳﻌﻄﻰ‬
:
…ሺ–ሻ ൌ ሺͳ െ ‡஑୲ሻ
‫ﺛﻮﺍﺑﺖ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﺍﻋﻂ‬
A
‫ﻭ‬
α
‫؟‬ ‫ﻛﻬﺮﺑﺎﺋﻴﺔ‬ ‫ﺩﺍﺭﺓ‬ ‫ﺛﻮﺍﺑﺖ‬ ‫ﺑﺪﻻﻟﺔ‬
3
(
‫ﺗﻄﻮﺭﺍﺕ‬ ‫ﻣﻨﺤﻨﻰ‬ ‫ﻣﻬﺒﻄﻲ‬ ‫ﺍﻫﺘﺰﺍﺯ‬ ‫ﺭﺍﺳﻢ‬ ‫ﻳﻌﻄﻰ‬
‫ﺑﻴﻦ‬ ‫ﺗﻮﺗﺮ‬
‫ﻣﻜﺜﻔﺔ‬ ‫ﻁﺮﻓﻲ‬
‫ﺷﻜﻞ‬
-
2
-
: ‫ﺍﻭﺟﺪ‬ ‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﺑﺎﺳﺘﻐﻼﻝ‬
ƒ
‫ﻗﻴﻤﺔ‬
E
‫؟‬
ƒ
‫ﺩﺍﺭﺓ‬ ‫ﺯﻣﻦ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻗﻴﻤﺔ‬
τ
‫؟‬
ƒ
‫ﻗﻴﻤﺔ‬
C=…..
‫؟‬
4
(
‫ﺗﻴﺎﺭ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﺍﻋﻂ‬
i(t)
. ‫ﺍﻻﺑﺘﺪﺍﺋﻴﺔ‬ ‫ﻗﻴﻤﺘﻪ‬ ‫ﻣﺎﻫﻲ‬ ‫؟‬
‫ﺷﻛﻝ‬
–
1
-
‫ﺷﻛﻝ‬
–
2
-
‫ﺷﻛﻝ‬
–
3
-
e
n
c
y
-
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
‫اﳉﺰ‬
‫اﳉﺰ‬
‫ء‬
‫ء‬‫ﺰ‬
‫ﺰ‬
‫ﺰ‬
‫اﻻول‬
‫اﻻول‬
:
m
s
): ‫اﻻول‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
: ‫اﻻول‬ ‫ﻳﻦ‬‫ﺮ‬‫ﺘﻤ‬
4
a
m
‫ﺣ‬ ‫ﻭﻗﺘﻨﺎ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻜﻬﺮﺑﺎء‬ ‫ﻌﺘﺒﺮ‬
‫ﻭ‬ ‫ﻓﻲ‬ ‫ﻜﻬﺮﺑﺎء‬
RL
-
-
LC
LC
-
‫ﺛﻨ‬ ‫ﺳﻨﺪﺭﺱ‬
‫ﺳﻨﺪﺭﺱ‬
‫ﺍﻟﺘﺮﻛﻴ‬ ‫ﻓﻲ‬ ‫ﻣﺴﺘﻌﻤﻠﺔ‬ ‫ﺑﺎﺋﻴﺔ‬
‫ﺍﻟﺘﺮﻛﻴ‬ ‫ﻓﻲ‬ ‫ﺴﺘﻌﻤﻠﺔ‬
‫ﺗﻮﺗﺮﻩ‬ ‫ﻲ‬
‫ﺗﺮﻩ‬
E
E
‫ﺩﺍ‬ ‫ﻣﻘﺎﻭﻣﺘﻪ‬
‫ﻣﻘﺎﻭ‬
C
R=40
R
.
.
‫ﺩﺍﺧﻠﻴﺔ‬
0
0
r
r
.
.
(
‫ﻜﺜﻔﺔ‬
(t)
(
c
c
U
U
‫ﺘﺒﺎ‬
a
3as.ency-education.com

2. 0
‫ﻣﻥ‬
8
0 2 ‫ﺍﻟﺻﻔﺣﺔ‬
II
.
‫ﺍﻟﻘﻄﺐ‬ ‫ﺛﻨﺎﺋﻲ‬ ‫ﺩﺭﺍﺳﺔ‬
LC
):
02
( ‫ﻧﻘﺎﻁ‬
‫ﻭﺿﻊ‬ ‫ﺍﻟﻰ‬ ‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻭﺿﻊ‬ ‫ﻧﻐﻴﺮ‬ ‫ﺍﻟﺪﺍﺋﻢ‬ ‫ﻟﻨﻈﺎﻡ‬ ‫ﻧﺼﻞ‬ ‫ﻋﻨﺪﻣﺎ‬
2
‫ﺍﺯﻣﻨﺔ‬ ‫ﻣﺒﺪﺍ‬ ‫ﻭﻧﻌﺘﺒﺮﻩ‬
t=0 s
.
1
(
‫ﺍﻟﺸﺤﻨﺔ‬ ‫ﻟﺘﻐﻴﺮﺍﺕ‬ ‫ﺗﻔﺎﺿﻠﻴﺔ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺍﻛﺘﺐ‬
q(t)
‫؟‬ ‫ﺩﺍﺭﺓ‬ ‫ﻓﻲ‬
2
(
‫؟‬ ‫ﺳﺒﺒﻪ‬ ‫ﻣﻦ‬ ‫؟‬ ‫ﺍﻻﻫﺘﺰﺍﺯ‬ ‫ﻧﻤﻂ‬ ‫ﻣﺎﻫﻮ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﺣﺴﺐ‬
3
(
: ‫ﺍﻭﺟﺪ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﺣﺴﺐ‬
ƒ
‫ﺍﻟﺤﺮﻛﺔ‬ ‫ﺩﻭﺭ‬ ‫ﺷﺒﻪ‬ ‫ﻗﻴﻤﺔ‬
T
.
ƒ
‫ﺍﻟﻨﺒﺾ‬ ‫ﻗﻴﻤﺔ‬
ɘ
.
ƒ
‫ﺑ‬
‫ﺈ‬
‫ﻭﺷﻴﻌﺔ‬ ‫ﺫﺍﺗﻴﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬ ‫ﻣﺎﺩﺭﺳﺖ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩ‬
L
‫اﻟ‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
‫ﺜﺎﱐ‬
):
05
‫ﻧﻘ‬
‫ﺎ‬
(‫ط‬
I
.
‫ﻣﺎﺋﻠﺔ‬ ‫ﻁﺮﻳﻖ‬ ‫ﻋﻠﻰ‬ ‫ﻳﻨﺰﻟﻖ‬ ‫ﺟﺴﻢ‬ ‫ﺣﺮﻛﺔ‬ ‫ﺩﺭﺍﺳﺔ‬
):
03
( ‫ﻧﻘﺎﻁ‬
‫ﺻﻠﺐ‬ ‫ﺟﺴﻢ‬ ‫ﻳﻨﺰﻟﻖ‬
(S)
‫ﻛﺘﻠﺘﻪ‬
m = 100g
‫ﻋﻠﻰ‬
‫ﺑﺰﺍﻭﻳﺔ‬ ‫ﺍﻷﻓﻖ‬ ‫ﻋﻦ‬ ‫ﻣﺎﺋﻞ‬ ‫ﻣﺴﺘﻮ‬ ‫ﻁﻮﻝ‬
α = 20°
‫ﻭﻓﻖ‬
‫ﺍﻟﻤﺤﻮﺭ‬
‫ܤܣ‬
ሬሬሬሬሬԦ
)
‫ﺍﻧﻈﺮ‬
‫ﺍﻟﻤﺘﻌﺎﻗﺐ‬ ‫ﺑﺎﻟﺘﺼﻮﻳﺮ‬ ‫ﻗﻤﻨﺎ‬ .( ‫ﺍﻟﺸﻜﻞ‬
‫ﺑﺒﺮﻣﺠﻴﺔ‬ ‫ﺍﻟﻔﻴﺪﻳﻮ‬ ‫ﺷﺮﻳﻂ‬ ‫ﻭﻋﻮﻟﺞ‬ ‫ﺭﻗﻤﻴﺔ‬ ‫ﺑﻜﺎﻣﻴﺮﺍ‬
(Aviméca)
‫ﻋﻠﻰ‬ ‫ﻭﺗﺤﺼﻠﻨﺎ‬ ‫ﺍﻵﻟﻲ‬ ‫ﺍﻹﻋﻼﻡ‬ ‫ﺑﺠﻬﺎﺯ‬
‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﺭﺳﻢ‬
v=f(t)
.
1
–
:‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﻋﻠﻰ‬ ‫ﺑﺎﻻﻋﺘﻤﺎﺩ‬
‫ﺃ‬
–
‫ﺣﺮﻛﺔ‬ ‫ﻁﺒﻴﻌﺔ‬ ‫ﺑﻴﻦ‬
(S)
.
‫ﺏ‬
–
‫ﻟﻠﺘﺴﺎﺭﻉ‬ ‫ﺍﻟﺘﺠﺮﻳﺒﻴﺔ‬ ‫ﺍﻟﻘﻴﻤﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬
a
.
‫ﺝ‬
–
‫ﺍﻟﺴﺮﻋﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬
0
v
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻓﻲ‬
t=0
.
‫ﺩ‬
–
:‫ﺍﻟﻠﺤﻈﺘﻴﻦ‬ ‫ﺑﻴﻦ‬ ‫ﺍﻟﻤﻘﻄﻮﻋﺔ‬ ‫ﺍﻟﻤﺴﺎﻓﺔ‬ ‫ﺍﺣﺴﺐ‬
)
= 0,04s
1
t
‫ﻭ‬
= 0,08s
2
t
.(
2
–
:‫ﻣﻬﻤﻠﺔ‬ ‫ﺍﻻﺣﺘﻜﺎﻛﺎﺕ‬ ‫ﺃﻥ‬ ‫ﺑﻔﺮﺽ‬
‫ﺃ‬
–
‫ﺍﻟﻌﺒﺎﺭﺓ‬ ‫ﺃﻭﺟﺪ‬ ‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﺑﺘﻄﺒﻴﻖ‬
‫ﻟﻠﺘﺴﺎﺭﻉ‬ ‫ﺍﻟﺤﺮﻓﻴﺔ‬
0
a
.‫ﻗﻴﻤﺘﻪ‬ ‫ﺍﺣﺴﺐ‬ ‫ﺛﻢ‬
‫ﺏ‬
–
‫ﺑﻴﻦ‬ ‫ﻗﺎﺭﻥ‬
0
a
‫ﻭ‬
a
‫؟‬
3
-
‫ﺳﺆﺍﻝ‬ ‫ﻣﻦ‬
1
‫ﺳﺆﺍﻝ‬ ‫ﻭ‬
2
‫ﺍﻟﻘﻮﺓ‬ ‫ﺷﺪﺓ‬ ‫ﺃﻭﺟﺪ‬
݂
Ԧ
.‫ﺍﻟﻤﺎﺋﻞ‬ ‫ﺍﻟﻤﺴﺘﻮﻱ‬ ‫ﻋﻠﻰ‬ ‫ﻟﻼﺣﺘﻜﺎﻛﺎﺕ‬ ‫ﺍﻟﻤﻨﻤﺬﺟﺔ‬
e
n
c
y
-
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
3
3
(
‫ﺣ‬
ƒ
ƒ
‫ﻗﻴﻤ‬
ƒ
ƒ
‫ﺍﻟﻨﺒﺾ‬ ‫ﻗﻴﻤﺔ‬
‫ﻗﻴﻤ‬
ƒ
ƒ
‫ﺑ‬
‫ﺑ‬
‫ﺈ‬
‫ﺈ‬‫ﺑ‬
‫ﺑ‬
‫ﺑ‬
‫ﻣ‬ ‫ﻋﻠﻰ‬ ‫ﻋﺘﻤﺎﺩ‬
‫ﻋﻠ‬ ‫ﻋﺘﻤﺎﺩ‬
‫ﺜﺎﱐ‬
):
)
05
05
‫ﻧﻘ‬
‫ﻧﻘ‬
‫ﺎ‬
‫ﺎ‬‫ﻘ‬
‫ﻘ‬
‫ﻘ‬
(‫ط‬
(‫ط‬
e
x
‫ﻁﺮﻳﻖ‬ ‫ﻋﻠﻰ‬ ‫ﻳﻨﺰﻟﻖ‬ ‫ﺟﺴﻢ‬ ‫ﺣﺮﻛﺔ‬
‫ﻋﻠﻰ‬ ‫ﻳﻨﺰﻟﻖ‬ ‫ﺴﻢ‬
/
e
‫ﺐ‬
(S
( )
S
‫ﻛﺘﻠﺘﻪ‬
‫ﻛﺘﻠﺘﻪ‬
= 100g
100g
‫ﺑﺰﺍﻭﻳﺔ‬ ‫ﻷﻓﻖ‬
‫ﺑﺰﺍﻭﻳﺔ‬
α = 20°
20°
‫ﺍﻟﻤﺘﻌﺎﻗﺐ‬ ‫ﺑﺎﻟﺘﺼﻮﻳﺮ‬ ‫ﻗﻤﻨﺎ‬
‫ﺍﻟﻤﺘﻌ‬ ‫ﻟﺘﺼﻮﻳﺮ‬
‫ﺑﺒﺮﻣﺠﻴﺔ‬ ‫ﻮ‬
‫ﺠﻴﺔ‬
‫ﻋﻠﻰ‬ ‫ﺼﻠﻨﺎ‬
‫ﻠﻰ‬
3as.ency-education.com

3. 0
‫ﻣﻥ‬
8
0 3 ‫ﺍﻟﺻﻔﺣﺔ‬
II
.
‫ﺍﻓﻘﻲ‬ ‫ﻁﺮﻳﻖ‬ ‫ﻋﻠﻰ‬ ‫ﺟﺴﻢ‬ ‫ﺣﺮﻛﺔ‬ ‫ﺩﺭﺍﺳﺔ‬
): ‫ﺧﺸﻦ‬
02
( ‫ﻧﻘﺎﻁ‬
‫ﻋﻠﻰ‬ ‫ﺣﺮﻛﺘﻪ‬ ‫ﺍﻟﺴﺎﺑﻖ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻳﻮﺍﺻﻞ‬
‫ﺍﻟ‬
‫ﻄﺮﻳﻖ‬
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻻﻓﻘﻲ‬
t= 0.12 s
‫ﻧﻘﻄﺔ‬ ‫ﻣﻦ‬
B
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﺍﻟﻰ‬
C
1
-
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﺤﺮﻛﻴﺔ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻫﻲ‬ ‫ﻛﻢ‬
B
‫؟‬
2
-
‫؟‬ ‫ﺍﻟﻄﺮﻳﻖ‬ ‫ﻫﺬﺍ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻤﻄﺒﻘﺔ‬ ‫ﺍﻟﻘﻮﺓ‬ ‫ﻣﺜﻞ‬
3
-
‫ﺍﻟﺘﺴﺎﺭﻉ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﺍﻋﻂ‬
a
‫؟‬
4
-
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻋﻨﺪ‬ ‫ﻳﺘﻮﻗﻒ‬ ‫ﺍﻟﺠﺴﻢ‬ ‫ﺍﻥ‬ ‫ﻋﻠﻤﺖ‬ ‫ﺍﺫﺍ‬
C
‫؟‬ ‫ﻟﺬﻟﻚ‬ ‫ﺍﻻﺯﻣﺔ‬ ‫ﺍﻻﺣﺘﻜﺎﻙ‬ ‫ﻗﻮﺓ‬ ‫ﻗﻴﻤﺔ‬ ‫ﻣﺎﻫﻲ‬
:‫ﻳﻌﻄﻰ‬
2
-
g = 10 m.s
‫؛‬
sin 20° = 0,34
.
‫اﻟ‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
‫ﺜﺎﻟﺚ‬
):
04
‫ﻧﻘ‬
‫ﺎ‬
(‫ط‬
‫ﺍﻟﻔﻮﺳﻔﻮﺭ‬
32
15 P
‫ﺇﺷﻌﺎﻋﻪ‬ ‫ﻧﻤﻂ‬ ، ‫ﺍﻟﺰﺍﺋﺪﺓ‬ ‫ﺍﻟﺤﻤﺮﺍء‬ ‫ﺍﻟﻜﺮﻳﺎﺕ‬ ‫ﺧﻼﻳﺎ‬ ‫ﻟﺘﺨﺮﻳﺐ‬ ‫ﺍﻟﻄﺐ‬ ‫ﻓﻲ‬ ‫ﻳﺴﺘﻌﻤﻞ‬ ‫ﻣﺸﻊ‬ ‫ﻧﻈﻴﺮ‬
β
‫ﻋﻤﺮﻩ‬ ‫ﻧﺼﻒ‬ ‫ﺯﻣﻦ‬ ‫ﻭ‬
1/2 14,3
t j
.
1
-
‫ﺍﻟﺠﺴﻴﻢ‬ ‫ﻁﺒﻴﻌﺔ‬ ‫ﻫﻲ‬ ‫ﻣﺎ‬
β
‫ﺍﻟﻤﻨﺒﻌﺚ؟‬
2
-
‫ﺍ‬
‫ﺍﻹﺟﺎﺑﺔ‬ ‫ﺗﺒﺮﻳﺮ‬ ‫ﻣﻊ‬ ‫ﺍﻟﺤﺎﺩﺙ‬ ‫ﺍﻹﺷﻌﺎﻋﻲ‬ ‫ﺍﻟﺘﻔﻜﻚ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﻛﺘﺐ‬
:‫ﻳﻌﻄﻰ‬ .‫ﺍﻟﻤﺴﺘﻌﻤﻠﺔ‬ ‫ﺍﻟﻘﻮﺍﻧﻴﻦ‬ ‫ﺑﺬﻛﺮ‬
14Si
،
15P
،
16S
،
17Cl
.
3
-
‫ﻧ‬
‫ﻛﺘﻠﺔ‬ ‫ﻋﻠﻰ‬ ‫ﺗﺤﺘﻮﻱ‬ ‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﻓﻮﺳﻔﺎﺕ‬ ‫ﻣﻦ‬ ‫ﺟﺮﻋﺔ‬ ‫ﺍﻟﻮﺭﻳﺪ‬ ‫ﻓﻲ‬ ‫ﻟﻠﻤﺮﻳﺾ‬ ‫ﺤﻘﻦ‬
8
0 10
m g
‫ﺍﻟﻔﻮﺳﻔﻮﺭ‬ ‫ﻣﻦ‬
32
.
‫ﺃ‬
-
‫ﺍﻹﺑﺘﺪﺍﺋﻴﺔ‬ ‫ﺍﻷﻧﻮﻳﺔ‬ ‫ﻋﺪﺩ‬ ‫ﺃﺣﺴﺐ‬
0
N
‫ﻟﻠﻔﻮﺳﻔﻮﺭ‬
32
.
‫ﺏ‬
-
‫ﻋﺒﺎﺭﺓ‬ ‫ﺃﻛﺘﺐ‬
λ
‫ﺑﺪﻻﻟﺔ‬
1/2
t
‫ﺑـ‬ ‫ﻗﻴﻤﺘﻪ‬ ‫ﺍﺣﺴﺐ‬ ‫ﺛﻢ‬
1
s
.
‫ﺟـ‬
-
‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﻋﺮﻑ‬
( )
A t
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﻤﺸﻌﺔ‬ ‫ﻟﻠﻌﻴﻨﺔ‬
t
‫ﺑﻴﻦ‬ ‫ﺍﻟﻌﻼﻗﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬ ‫ﻭ‬ ،
( )
A t
‫ﺍﻷﻧﻮﻳﺔ‬ ‫ﻋﺪﺩ‬ ‫ﻭ‬
( )
N t
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻓﻲ‬
t
.
‫ﺩ‬
-
‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬
0
A
.‫ﺍﻟﻤﺮﻳﺾ‬ ‫ﺗﻠﻘﺎﻫﺎ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﻔﻮﺳﻔﻮﺭ‬ ‫ﻟﻌﻴﻨﺔ‬
‫ﻫـ‬
-
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﺍﺣﺴﺐ‬
1
t
‫ﻋﺸﺮ‬ ‫ﻳﺴﺎﻭﻱ‬ ‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﻓﻴﻬﺎ‬ ‫ﻳﺼﺒﺢ‬ ‫ﺍﻟﺘﻲ‬
)
10
1
(
‫ﺍﻟﻘﻴﻤﺔ‬
0
A
.
3
-
‫ﺃ‬
-
‫ﺃ‬
:‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻓﻲ‬ ‫ﺃﻧﻪ‬ ‫ﺛﺒﺖ‬
1/2
t nt
‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﺗﻜﻮﻥ‬
( )
A t
:‫ﻳﻠﻲ‬ ‫ﻛﻤﺎ‬
0
( )
2n
A
A t
‫ﺣﻴﺚ‬ ،
0
A
. ‫ﺍﻹﺑﺘﺪﺍﺋﻲ‬ ‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﻫﻮ‬
‫ﺏ‬
-
‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﺃﺭﺳﻢ‬
( )
A t
‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﻗﻴﻢ‬ ‫ﺗﻤﺜﻴﻞ‬ ‫ﻣﻊ‬ ، ‫ﺍﻟﺤﺎﺳﺒﺔ‬ ‫ﺍﻵﻟﺔ‬ ‫ﺍﺳﺘﻌﻤﺎﻝ‬ ‫ﺩﻭﻥ‬
( )
A t
:‫ﻟﻠﺤﻈﺎﺕ‬ ‫ﺍﻟﻤﻮﺍﻓﻘﺔ‬
1/2
t
،
1/2
2t
،
1/2
3t
،
1/2
4t
.
:‫ﺃﻓﻮﻏﺎﺩﺭﻭ‬ ‫ﻋﺪﺩ‬ :‫ﻳﻌﻄﻰ‬
23 1
6,02 10 .
A
N mol
u
3
-
4
4
-
‫ﻋﻠﻤ‬ ‫ﺍﺫﺍ‬
‫ﺍﺫ‬
:‫ﻳﻌﻄﻰ‬
‫ﻳﻌﻄﻰ‬
2
-
m.s
‫اﻟ‬ ‫ﻳﻦ‬‫ﺮ‬
‫ﻟ‬
‫ﺜﺎﻟﺚ‬
‫ﻟﺜﺎﻟﺚ‬‫ﻟ‬
):
):
04
04
‫ﻧﻘ‬
‫ﻧﻘ‬
‫ﻘﺎ‬
(‫ط‬
x
a
3
‫ﻓﻲ‬ ‫ﻳﺴﺘﻌﻤﻞ‬ ‫ﻣﺸﻊ‬ ‫ﻧﻈﻴﺮ‬
‫ﻓﻲ‬ ‫ﻳﺴﺘﻌﻤﻞ‬ ‫ﻣﺸﻊ‬ ‫ﻈﻴﺮ‬
β
‫ﺍﻟﻤﻨﺒﻌﺚ؟‬
‫ﺍﻟﻤﻨﺒﻌﺚ؟‬
‫ﺍﻹﺟ‬ ‫ﺗﺒﺮﻳﺮ‬ ‫ﻣﻊ‬ ‫ﺍﻟﺤﺎﺩﺙ‬ ‫ﻋﻲ‬
‫ﺗﺒﺮﻳ‬ ‫ﻣﻊ‬ ‫ﺎﺩﺙ‬
‫ﺗﺤ‬ ‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﻓﻮﺳﻔﺎﺕ‬ ‫ﻣﻦ‬
‫ﺍﻟﺼﻮ‬ ‫ﻮﺳﻔﺎﺕ‬
32
.
‫ﺑﻴﻦ‬ ‫ﺍﻟﻌﻼﻗﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬
‫ﺑﻴﻦ‬ ‫ﺍﻟﻌﻼﻗﺔ‬ ‫ﺞ‬
( )
)
A(
‫ﻤﺔ‬
0
A
A
.
( )
A
A(
‫ﺣﻴﺚ‬ ،
‫ﺣﻴﺚ‬ ،
0
0
A
A
‫ﺍﻟﻨ‬ ‫ﻫﻮ‬
‫ﻫ‬
:‫ﻟﻠﺤﻈﺎﺕ‬ ‫ﻘﺔ‬
:‫ﺤﻈﺎﺕ‬
1/2
1/2
t
t
،
،
1/2
1/2
2t
2
،
2
3as.ency-education.com

4. 0
‫ﻣﻥ‬
8
0 4 ‫ﺍﻟﺻﻔﺣﺔ‬
‫اﳉﺰ‬
‫ء‬
‫اﻟﺜﺎﱐ‬
‫ﻋﻠﻰ‬ :
)
7
‫ﻧﻘﺎط‬
(
‫ـ‬‫ـ‬‫ـ‬‫ﻴ‬‫اﻟﻜﻤ‬ )
‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬
‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬
‫ـ‬‫ـ‬‫ـ‬‫ـ‬
‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬
(‫ﺎء‬
‫اﻟﺜﺎﻟﺚ‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
:
‫ﺍﻟﺪﺭﺟﺔ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺤﺎﻟﻴﻞ‬ ‫ﻛﻞ‬ ‫ﺗﺆﺧﺬ‬
25°C
.
‫ﺍﻹﺟﻤﺎﻟﻴﺔ‬ ‫ﺍﻟﺠﺰﻳﺌﻴﺔ‬ ‫ﺻﻴﻐﺘﻪ‬ ‫ﻛﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﺣﻤﺾ‬ ‫ﺍﻹﻳﺒﻮﺑﺮﻭﻓﻴﻦ‬
‫ܥ‬ଵଷ‫ܪ‬ଵ଼ܱଶ
‫ﺷﺒﻴﻪ‬ ،‫ﻟﻼﻟﺘﻬﺎﺑﺎﺕ‬ ‫ﺍﻟﻤﻀﺎﺩﺍﺕ‬ ‫ﻣﻦ‬ ‫ﻳﻌﺘﺒﺮ‬ ‫ﺩﻭﺍء‬ ،
‫ﺃﻛﻴﺎﺱ‬ ‫ﻓﻲ‬ ‫ﻣﺴﺤﻮﻕ‬ ‫ﺷﻜﻞ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﺼﻴﺪﺍﻟﻴﺎﺕ‬ ‫ﻓﻲ‬ ‫ﺍﻹﻳﺒﻮﺑﺮﻭﻓﻴﻦ‬ ‫ﻣﺴﺘﺤﻀﺮﺍﺕ‬ ‫ﺗﺒﺎﻉ‬ .‫ﻟﻠﺤﺮﺍﺭﺓ‬ ‫ﻭﻣﺨﻔﺾ‬ ‫ﻟﻶﻻﻡ‬ ‫ﻣﺴﻜﻦ‬ ،‫ﺑﺎﻷﺳﺒﺮﻳﻦ‬
‫ﺍﻟﻤﻘﺪﺍﺭ‬ ‫ﺗﺤﻤﻞ‬
200 mg
‫ﺑـ‬ ‫ﺍﻹﻳﺒﻮﺑﺮﻭﻓﻴﻦ‬ ‫ﻟﺤﻤﺾ‬ ‫ﻧﺮﻣﺰ‬ ‫ﺍﻟﻨﺸﺎﻁ‬ ‫ﻫﺬﺍ‬ ‫ﻛﻞ‬ ‫ﻓﻲ‬ .‫ﺍﻟﻤﺎء‬ ‫ﻓﻲ‬ ‫ﻳﺬﻭﺏ‬
ܴ‫ܪܱܱܥ‬
‫ﺍﻟﻤﺮﺍﻓﻖ‬ ‫ﻭﻷﺳﺎﺳﻪ‬
‫ﺑﺎﻟﺮﻣﺰ‬
ܴ‫ܱܱܥ‬ି
:‫ﻳﻌﻄﻰ‬ .
‫ܯ‬ሺܴ‫ܪܱܱܥ‬ሻ ൌ ʹͲ͸݃Ȁ݉‫݈݋‬
.
): ‫ﻛﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﺤﻤﺾ‬ ‫ﺗﻮﺍﺯﻥ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺩﺭﺍﺳﺔ‬
03.5
( ‫ﻧﻘﺎﻁ‬
‫ﺍﻹﻳﺒﻮﺑﺮﻭﻓﻴﻦ‬ ‫ﻛﻴﺲ‬ ‫ﻣﺤﺘﻮﻯ‬ ‫ﻧﺬﻳﺐ‬
mg
200
‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﻋﻠﻰ‬ ‫ﻓﻨﺤﺼﻞ‬ ‫ﻣﺎء‬ ‫ﺑﻪ‬ ‫ﺑﻴﺸﺮ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﻣﻦ‬
0
S
‫ﺍﻟﻤﻮ‬ ‫ﺗﺮﻛﻴﺰﻩ‬
‫ﻟﻲ‬
0
C
‫ﻭﺣﺠﻤﻪ‬
=500 ml
0
V
.
1
–
: ‫ﺃﻥ‬ ‫ﻣﻦ‬ ‫ﺗﺄﻛﺪ‬
= 0.002 mol/l
0
C
.
2
–
‫ﻗﻴﺎﺱ‬ ‫ﺃﻋﻄﻰ‬
pH
‫ﺍﻟﻤﺤﻠﻮﻝ‬
0
S
‫ﺍﻟﻘﻴﻤﺔ‬
pH =3,5
.
‫ﺃ‬
–
‫ﺗ‬
.‫ﻣﺤﺪﻭﺩ‬ ‫ﺍﻟﻤﺎء‬ ‫ﻣﻊ‬ ‫ﺍﻹﻳﺒﻮﺑﺮﻭﻓﻴﻦ‬ ‫ﺣﻤﺾ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﺃﻥ‬ ‫ﺍﻟﺘﻘﺪﻡ‬ ‫ﻝ‬ ّ‫ﺑﺠﺪﻭ‬ ‫ﺑﺎﺳﺘﻌﺎﻧﺘﻚ‬ ‫ﺤﻘﻖ‬
‫ﺏ‬
–
‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻛﺴﺮ‬ ‫ﺍﻛﺘﺐ‬
r
Q
.‫ﻝ‬ ّ‫ﺍﻟﺘﺤﻮ‬ ‫ﻟﻬﺬﺍ‬
‫ﺝ‬
–
‫ﻋﺒﺎﺭﺓ‬ ‫ﺃﻥ‬ ‫ّﻦ‬‫ﻴ‬‫ﺑ‬
r
Q
:‫ﺍﻟﺸﻜﻞ‬ ‫ﻋﻠﻰ‬ ‫ﺗﻜﺘﺐ‬ ‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﻋﻨﺪ‬
ܳ௥Ǥé௤ ൌ
௑೘ೌೣǤఛ೑
మ
௏బǤሺଵିఛ೑ሻ
.
‫ﺣﻴﺚ‬
f
τ
‫ﻭ‬ ‫ﻟﻠﺘﻔﺎﻋﻞ‬ ‫ﺍﻟﻨﻬﺎﺋﻲ‬ ‫ﺍﻟﺘﻘﺪﻡ‬ ‫ﻧﺴﺒﺔ‬ :
max
X
‫ﺑـ‬ ‫ﻋﻨﻪ‬ ‫ﻭﻳﻌﺒﺮ‬ ‫ﺍﻷﻋﻈﻤﻲ‬ ‫ﺍﻟﺘﻘﺪﻡ‬ :
mol
.
‫ﺩ‬
–
‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﺛﺎﺑﺖ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬
K
.
II
.
‫ﺍﻟﺘﺠﺎﺭﻱ‬ ‫ﺍﻟﺨﻞ‬ ‫ﺣﻤﻀﻴﺔ‬ ‫ﺩﺭﺟﺔ‬
):
03.5
( ‫ﻧﻘﺎﻁ‬
‫ﺣﺠﻤﺎ‬ ‫ﻧﺄﺧﺬ‬ ، ‫ﺍﻟﻜﻴﺲ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻤﺴﺠﻞ‬ ‫ﺍﻟﻤﻘﺪﺍﺭ‬ ‫ﺻﺤﺔ‬ ‫ﻣﻦ‬ ‫ﻟﻠﺘﺤﻘﻖ‬
=100 ml
b
V
‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﻣﻦ‬
b
S
‫ﺍﻟﺼﻮﺩﻳﻮﻡ‬ ‫ﻟﻬﻴﺪﺭﻭﻛﺴﻴﺪ‬
ሺܰܽାሺƒ“ሻ ൅ ିሺƒ“ሻሻ
‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬.
=0.02 mol/l
b
C
‫ﻣﺎﺋﻲ‬ ‫ﻣﺤﻠﻮﻝ‬ ‫ﻋﻠﻰ‬ ‫ﻓﻨﺤﺼﻞ‬ ‫ﺍﻟﻜﻴﺲ‬ ‫ﻣﺤﺘﻮﻯ‬ ‫ﻛﻠﻴﺎ‬ ‫ﻓﻴﻪ‬ ‫ﻭﻧﺬﻳﺐ‬
S
‫ﻧﻌﺘﺒﺮ‬ )
‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﺣﺠﻢ‬ ‫ﺃﻥ‬
S
‫ﻫﻮ‬
b
V
‫ﻧﺄﺧﺬ‬ .(
ml
20
‫ﺍﻟﻤﺤﻠﻮﻝ‬ ‫ﻣﻦ‬
S
‫ﻭﻧﻀﻌﻪ‬
‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬ ‫ﻛﻠﻮﺭ‬ ‫ﺣﻤﺾ‬ ‫ﺑﻤﺤﻠﻮﻝ‬ ‫ﻭﻧﻌﺎﻳﺮﻩ‬ ‫ﺑﻴﺸﺮ‬ ‫ﻓﻲ‬
‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬
= 0.02 mol/l
a
C
‫ﺍﻟﻤﻨﺤﻨﻰ‬ ‫ﻋﻠﻰ‬ ‫ﻓﻨﺤﺼﻞ‬
‫ﺍﻟﺒﻴﺎﻧﻲ‬
‫ﺍﻟﺸﻜﻞ‬
–
9
:‫ﻫﻲ‬ ‫ﺍﻟﻤﻌﺎﻳﺮﺓ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ،
‫ܪ‬ଷܱାሺܽ‫ݍ‬ሻ ൅‫ܱܪ‬ିሺܽ‫ݍ‬ሻ ൌʹ‫ܪ‬ଶܱሺℓሻ
.
1
–
.‫ﺍﻟﻤﻌﺎﻳﺮﺓ‬ ‫ﻋﻤﻠﻴﺔ‬ ‫ﺗﺨﻄﻴﻄﻲ‬ ‫ﺑﺸﻜﻞ‬ ‫ﺍﺭﺳﻢ‬
2
–
‫ﺍﻟﻨﻘﻄﺔ‬ ‫ﻫﺬﻩ‬ ‫ﺇﺣﺪﺍﺛﻴﺘﻲ‬ ‫ﺣﺪﺩ‬ ّ‫ﻢ‬‫ﺛ‬ ،‫ﺍﻟﺘﻜﺎﻓﺆ‬ ‫ﻧﻘﻄﺔ‬ ‫ﻑ‬ّ‫ﻋﺮ‬
E
.
3
–
‫ﻟﺸﻮﺍﺭﺩ‬ ‫ﺍﻟﻤﺎﺩﺓ‬ ‫ﻛﻤﻴﺔ‬ ‫ﺟﺪ‬
‫ܱܪ‬ି
ሺܽ‫ݍ‬ሻ
.‫ﻣﻌﺎﻳﺮﺗﻬﺎ‬ ‫ﺗﻤﺖ‬ ‫ﺍﻟﺘﻲ‬
4
–
‫ﺟﺪ‬
‫ﻟﺸﻮﺍﺭﺩ‬ ‫ﺍﻷﺻﻠﻴﺔ‬ ‫ﺍﻟﻤﺎﺩﺓ‬ ‫ﻛﻤﻴﺔ‬
‫ܱܪ‬ି
ሺܽ‫ݍ‬ሻ
‫ﺍﻟﺤﻤﺾ‬ ‫ﻣﻊ‬ ‫ﺗﻔﺎﻋﻠﺖ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺗﻠﻚ‬ ‫ﺍﺳﺘﻨﺘﺞ‬ ‫ﺛﻢ‬ ،
RCOOH
.‫ﺍﻟﻜﻴﺲ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺘﻮﺍﺟﺪ‬
5
–
‫ﺍﺣﺴﺐ‬
m
.‫ﺍﻟﻜﻴﺲ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺘﻮﺍﺟﺪﺓ‬ ‫ﺍﻟﺤﻤﺾ‬ ‫ﻛﺘﻠﺔ‬
‫ﺗﺴﺘﻨﺘﺞ؟‬ ‫ﻣﺎﺫﺍ‬
e
n
c
y
-
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
‫ﺑﺎﻷﺳ‬
‫ﺍ‬ ‫ﺗﺤﻤﻞ‬
‫ﺗ‬
‫ﺑﺎﻟﺮﻣﺰ‬
‫ﺑﺎﻟﺮﻣ‬
ܱି
‫ﻟﺤﻤ‬ ‫ﺗﻮﺍﺯﻥ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺩﺭﺍﺳﺔ‬
‫ﺗﻮﺍﺯﻥ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺭﺍﺳﺔ‬
m
‫ﻛﻴﺲ‬ ‫ﻣﺤﺘﻮﻯ‬ ‫ﻧﺬﻳﺐ‬
‫ﻣﺤﺘﻮﻯ‬ ‫ﻧﺬﻳﺐ‬
0
0
C
C
‫ﻭﺣﺠﻤﻪ‬
‫ﻭﺣﺠﻤﻪ‬
0 ml
–
: ‫ﺃﻥ‬ ‫ﻣﻦ‬ ‫ﺗﺄﻛﺪ‬
: ‫ﺃﻥ‬ ‫ﻣﻦ‬ ‫ﻛﺪ‬
mol/l
‫ﻗﻴﺎﺱ‬ ‫ﻄﻰ‬
‫ﻗﻴﺎﺱ‬
pH
pH
‫ﺍﻟﻤﺤﻠﻮﻝ‬
‫ﺍﻟﻤﺤﻠﻮﻝ‬
‫ﺍﻟﺘﻘﺪﻡ‬ ‫ﻝ‬
‫ﺍﻟ‬ ‫ﺑﺠﺪﻭﻝ‬ ‫ﺑﺎﺳﺘﻌﺎﻧﺘﻚ‬
‫ﺑﺠﺪﻭ‬ ‫ﻌﺎﻧﺘﻚ‬
ّّ
‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﺮ‬
‫ﻋﻞ‬
r
r
Q
Q
‫ﺍﻟﺘﺤﻮ‬ ‫ﻟﻬﺬﺍ‬
‫ﺍﻟ‬ ‫ﻟﻬﺬﺍ‬
‫ﻋﻠﻰ‬ ‫ﺗﻜﺘﺐ‬ ‫ﺍﻟﺘﻮﺍﺯﻥ‬ ‫ﻋﻨﺪ‬
‫ﺗﻜﺘﺐ‬ ‫ﺘﻮﺍﺯﻥ‬
‫ﻭ‬ ‫ﻟﻠﺘﻔﺎﻋﻞ‬ ‫ﻲ‬
‫ﻋﻞ‬
max
max
Xm
‫ﺍﻟﺘﻘ‬ :
‫ﺣﺠﻤﺎ‬
=100 ml
=100 m
b
b
V
V
‫ﻣ‬ ‫ﻣﻦ‬
‫ﻣﻦ‬
=
b
C
‫ﺮ‬
.‫ﺍﻟﻜﻴﺲ‬
‫ﺲ‬
3as.ency-education.com

5. 0
‫ﻣﻥ‬
8
0 5 ‫ﺍﻟﺻﻔﺣﺔ‬
‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻣﻮﺿﻮﻉ‬
‫اﳉﺰ‬
‫ء‬
‫اﻻول‬
:
‫ﻋﻠﻰ‬
13
‫ﻧﻘﻄﺔ‬
‫ﻳ‬‫ﺰ‬‫اﻟﻔﻴ‬ )
‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬
(‫ﺎء‬
‫اﻟ‬
‫اﻻول‬ ‫ﻳﻦ‬‫ﺮ‬‫ﺘﻤ‬
:
)
04
(‫ﻧﻘﻄﺔ‬
I
.
): ‫ﻣﻜﺜﻔﺔ‬ ‫ﻭﺗﻔﺮﻳﻎ‬ ‫ﺷﺤﻦ‬ ‫ﺩﺭﺍﺳﺔ‬
03
( ‫ﻧﻘﺎﻁ‬
‫ﺳﻌﺘﻬﺎ‬ ‫ﻣﻜﺜﻔﺔ‬
C
) ‫ﺛﺎﺑﺖ‬ ‫ﺗﻮﺗﺮ‬ ‫ﺗﺤﺖ‬ ‫ﺷﺤﻨﻬﺎ‬ ‫ﺗﻢ‬
E = 12V
‫ﺛﻢ‬ . (
‫ﻣﻘﺎﻭﻣﺘﻪ‬ ‫ﺃﻭﻣﻲ‬ ‫ﻧﺎﻗﻞ‬ ‫ﻓﻲ‬ ‫ﺗﻔﺮﻳﻐﻬﺎ‬ ‫ﺃﻋﻴﺪ‬
:
5
R = 10
.
1
-
/
‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻧﻌﺘﺒﺮ‬
) ‫ﻭﺿﻊ‬ ‫ﻓﻲ‬
1
(
‫ﺣﻘﻴﻘﻲ‬ ‫ﺑﻞ‬ ‫ﻣﺜﺎﻟﻲ‬ ‫ﻟﻴﺲ‬ ‫ﻭﺍﻟﻤﻮﻟﺪ‬
)
Ω
r=10
(
.
1
-
1
‫ﻟﺘﻮﺗﺮ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺍﻋﻂ‬ ‫ﺗﻮﺗﺮﺍﺕ‬ ‫ﻗﺎﻧﻮﻥ‬ ‫ﺑﺎﺳﺘﻌﻤﺎﻝ‬
Uc
‫؟‬ ‫ﺍﻟﻤﻜﺜﻔﺔ‬ ‫ﻁﺮﻓﻲ‬ ‫ﺑﻴﻦ‬
1
-
2
‫ﻋﻨﺪ‬
t=0
‫ﺍﻟﺘﻴﺎﺭ‬ ‫ﺷﺪﺓ‬ ‫ﺗﻜﻮﻥ‬ ‫ﻛﻢ‬
0
I
‫؟‬ ‫ﺩﺍﺭﺓ‬ ‫ﻓﻲ‬
2
-
/
) ‫ﻭﺿﻊ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻧﻌﺘﺒﺮ‬
2
‫ﺍﻟﺴﺎﺑﻖ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ (
.
2
-
1
‫ﺑﺪﻻﻟﺔ‬ ‫ﻟﻠﺪﺍﺭﺓ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻛﺘﺐ‬
q ( t )
‫؟‬ ‫ﺍﻟﺘﻔﺮﻳﻎ‬ ‫ﺧﻼﻝ‬
2
-
2
‫ﻫﻮ‬ ‫ﺣﻠﻬﺎ‬ ‫ﺃﻥ‬ ‫ﺑﻴﻦ‬
W
t/
-
e
0
= Q
q( t )
‫؟‬
2
-
3
‫؟‬ ‫ﺍﻟﺰﻣﻦ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺑﻴﺎﻧﻴﺎ‬ ‫ﻋﻴﻦ‬
2
-
4
‫ﺍﻟﻤﻜﺜﻔﺔ‬ ‫ﺳﻌﺔ‬ ‫ﺃﺣﺴﺐ‬
C
‫؟‬
6
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﻤﻜﺜﻔﺔ‬ ‫ﺷﺤﻨﺔ‬ ‫ﺃﺣﺴﺐ‬ ‫ـ‬ (
t = 0
‫؟‬
7
‫ﺃ‬ ‫ـ‬ (
‫ﺍﻟﻠﺤﻈ‬ ‫ﻧﻔﺲ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﺘﻴﺎﺭ‬ ‫ﺷﺪﺓ‬ ‫ﺣﺴﺐ‬
‫ﺔ‬
‫؟‬
‫ﺩﺭﺍﺳﺔ‬
‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬ ‫ﻧﻈﺎﺋﺮ‬ ‫ﻧﻮﺍﺗﻲ‬ ‫ﺍﻧﺪﻣﺎﺝ‬
):
02
( ‫ﻧﻘﺎﻁ‬
‫ﺗﻘﺎﺭﺏ‬ ‫ﺍﻟﻨﺠﻮﻡ‬ ‫ﻫﺬﻩ‬ ‫ﺣﺮﺍﺭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﺗﻜﻮﻥ‬ ‫ﻋﻨﺪﻣﺎ‬ . ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬ ‫ﻣﻦ‬ ‫ﺃﺳﺎﺳﺎ‬ ‫ﺗﺘﻜﻮﻥ‬ ‫ﺍﻟﺸﻤﺲ‬ ‫ﻣﺜﻞ‬ ‫ﺍﻟﺼﻔﺮﺍء‬ ‫ﺍﻟﻨﺠﻮﻡ‬
K
7
10
5
.
1 u
‫ﺗﺤﺪﺙ‬
‫ﺍﻧﺪﻣﺎﺝ‬ ‫ﺗﻔﺎﻋﻼﺕ‬
‫ﻧﻮﺍﺓ‬ ‫ﻓﺘﻌﻄﻲ‬ ‫ﺍﻟﺒﺮﻭﺗﻮﻧﺎﺕ‬ ‫ﺑﻴﻦ‬
Y
A
Z
/
/
: ‫ﺍﻟﺘﺎﻟﻴﺔ‬ ‫ﺍﻟﺴﻠﺴﻠﺔ‬ ‫ﺣﺴﺐ‬
)
3
........(
2
)
2
.....(
..........
)
1
.......(
.......... 1
1
/
/
3
2
3
2
3
2
1
1
0
1
1
1
1
1 H
Y
H
H
H
X
H
e
X
H
H A
Z
e
e
e
A
Z
A
Z
o
o
o
J
1
/
-
‫ﺍﻧ‬
‫ﺍﻟﻨﻮﺍﺗﻴﻦ‬ ‫ﻋﻠﻰ‬ ‫ﺗﻌﺮﻑ‬ ‫ﺍﻟﻤﻌﺎﺩﻻﺕ‬ ‫ﻫﺬﻩ‬ ‫ﻣﻦ‬ ‫ﻄﻼﻗﺎ‬
Y
‫ﻭ‬
X A
Z
A
Z
/
/
2
/
-
‫ﺍﻛ‬
‫ﺍﻟﻨﻮﺍﺓ‬ ‫ﻟﺘﺸﻜﻞ‬ ‫ﺍﻹﺟﻤﺎﻟﻲ‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺘﺐ‬
Y
A
Z
/
/
‫ﺍﻻﻧﺪﻣﺎﺝ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﻋﺮﻑ‬ . ‫ﺍﻟﻬﻴﺪﺭﻭﺟﻴﻦ‬ ‫ﺍﻧﻮﻳﺔ‬ ‫ﻣﻦ‬ ‫ﺍﻧﻄﻼﻗﺎ‬
.
3
/
-
‫ﺗﻔﺎ‬ ‫ﺍﻻﻥ‬ ‫ﻧﻌﺘﺒﺮ‬
: ‫ﺍﻟﺘﺎﻟﻲ‬ ‫ﺍﻻﻧﺪﻣﺎﺝ‬ ‫ﻋﻞ‬
J
2
2
4 0
1
4
2
1
1
o e
H
H e
‫ﺃ‬
-
‫ﺍﻟﻜﺘﻠﺔ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻨﻘﺺ‬ ‫ﺍﺣﺴﺐ‬
‫ﻟ‬
‫ﻠﺘﻔﺎﻋﻞ‬
‫ﺍ‬ ‫ﻧﻜﻠﻴﻮﻥ‬ ‫ﻟﻜﻞ‬ ‫ﺍﻟﻤﺤﺮﺭﺓ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬ ‫ﻭ‬ ‫ﺍﻟﻤﺤﺮﺭﺓ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺛﻢ‬
‫ﺍﻻﻧﺪﻣﺎ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﺛﻨﺎء‬
‫ﻫﺬﺍ‬ ‫ﺝ‬
‫ﺑـ‬
Mev
.
‫ﺏ‬
-
‫ﺍﻟﻤﺤﺮ‬ ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﺍﺣﺴﺐ‬
‫ﻋﻠﻰ‬ ‫ﻟﻠﺤﺼﻮﻝ‬ ‫ﺭﺓ‬
1g
‫ﺍﻟﻬﻠﻴﻮﻡ‬ ‫ﻣﻦ‬
4
‫ﺑـ‬
Mev
‫ﺑـ‬ ‫ﺛﻢ‬ ‫ﺍﻟﺠﻮﻝ‬ ‫ﺑـ‬ ،
(T.e.p)
‫ﺍﻟﺒﺘﺮﻭﻝ‬ ‫ﻣﻦ‬ ‫ﺍﻟﻤﻜﺎﻓﺊ‬ ‫)ﺍﻟﻄﻦ‬
(T.e.p)
‫ﺍﻟﺼﻨﺎﻋﺔ‬ ‫ﻣﺠﺎﻝ‬ ‫ﻓﻲ‬ ‫ﺗﺴﺘﻌﻤﻞ‬ ، ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻟﻘﻴﺎﺱ‬ ‫ﻭﺣﺪﺓ‬ ‫ﻫﻲ‬
(
e
n
c
y
-
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
I
‫ﺳﻌ‬ ‫ﻣﻜﺜﻔﺔ‬
‫ﻣﻜﺜﻔﺔ‬
‫ﻓﻲ‬ ‫ﺗﻔﺮﻳﻐﻬﺎ‬ ‫ﺃﻋﻴﺪ‬
‫ﺗﻔﺮﻳﻐ‬ ‫ﺃﻋﻴﺪ‬
1
-
/
/
‫ﺍﻟﻘﺎﻁﻌﺔ‬ ‫ﻧﻌﺘﺒﺮ‬
‫ﺍﻟﻘﺎﻁ‬ ‫ﻌﺘﺒﺮ‬
‫ﻓﻲ‬
Ω
r=10
r=
(
(
.
.
‫ﺍ‬ ‫ﺗﻮﺗﺮﺍﺕ‬ ‫ﻗﺎﻧﻮﻥ‬ ‫ﺳﺘﻌﻤﺎﻝ‬
‫ﺗﻮﺗﺮ‬ ‫ﻗﺎﻧﻮﻥ‬ ‫ﺎﻝ‬
‫؟‬ ‫ﻤﻜﺜﻔﺔ‬
‫ﺍﻟﺘﻴﺎﺭ‬ ‫ﺷﺪﺓ‬ ‫ﺗﻜﻮﻥ‬
‫ﺍﻟﺘﻴﺎﺭ‬ ‫ﺷﺪﺓ‬ ‫ﻥ‬
0
0
I
I
‫ﺩ‬ ‫ﻓﻲ‬
) ‫ﺿﻊ‬
)
2
2
‫ﺍﻟﺴﺎﺑﻖ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ (
‫ﺍ‬ ‫ﺍﻟﺸﻜﻞ‬ ‫ﻓﻲ‬ (
‫ﺑﺪﻻﻟﺔ‬ ‫ﻟﻠﺪﺍﺭﺓ‬
‫ﺑﺪﻻﻟﺔ‬ ‫ﺭﺓ‬
q ( t )
q ( t )
‫ﺧﻼ‬
q(
‫؟‬
‫؟‬
‫ﺍﻟﻨﺠ‬ ‫ﻫﺬﻩ‬ ‫ﺣﺮﺍﺭﺓ‬ ‫ﺩﺭﺟﺔ‬ ‫ﻮﻥ‬
‫ﺣﺮﺍﺭﺓ‬ ‫ﺭﺟﺔ‬
.......
..........
........
0
0
1e
e
X
X
A
X
Z
Z
o
‫ﺍﻻﻧﺪﻣﺎﺝ‬
‫ﺝ‬
.
.
‫ﻫﺬﺍ‬ ‫ﺝ‬
‫ﺑـ‬
‫ﺑـ‬
M
Mev
ev
.
3as.ency-education.com

6. 0
‫ﻣﻥ‬
8
0 6 ‫ﺍﻟﺻﻔﺣﺔ‬
‫ﺝ‬
-
‫ﺍ‬
‫؟‬ ‫ﺗﺴﺘﻨﺘﺞ‬ ‫ﻣﺎﺫﺍ‬ . ‫ﺍﻟﻄﺎﻗﺔ‬ ‫ﻧﻔﺲ‬ ‫ﺗﺤﺮﺭ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﺒﺘﺮﻭﻝ‬ ‫ﻛﺘﻠﺔ‬ ‫ﺣﺴﺐ‬
e
H
4
2
e
H
3
2
H
2
1
H
1
1
e
0
1
‫ﺍﻟﻨﻮﺍﺓ‬
4.0015
3.0149
2.0134
1.0073
0.0006
)
(u
m
X
A
Z
2
Kg = 931.5Mev/c
27
-
u = 1.661.10
1
1
-
mol
23
=6.02 . 10
A
N
,
J
13
-
10
.
Mev = 1.6
1
,
J
9
T.e.p = 42 10
1
): ‫اﻟﺜﺎﱐ‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
05
(‫ﻧﻘﻄﺔ‬
I
.
‫ﺩﺭﺍﺳﺔ‬
‫ﺣﺮﻛﺔ‬
‫ﻁﻔﻞ‬
‫ﻣﺎﺋﻠﺔ‬ ‫ﻁﺮﻳﻖ‬ ‫ﻋﻠﻰ‬ ‫ﻳﻨﺰﻟﻖ‬
:
)
02
( ‫ﻧﻘﺎﻁ‬
‫ﻋﻄﺎﻟﺘﻪ‬ ‫ﻣﺮﻛﺰ‬ ‫ﻁﻔﻞ‬ ‫ﻳﻨﺰﻟﻖ‬
G
‫ﻭﻛﺘﻠﺘﻪ‬
m
‫ﺟﺰء‬ ‫ﻣﻦ‬ ‫ﻣﻜﻮﻧﺔ‬ ‫ﻣﺴﺒﺢ‬ ‫ﻣﺰﻟﻘﺔ‬ ‫ﻓﻮﻕ‬
AB
‫ﺑﺰﺍﻭﻳﺔ‬ ‫ﺍﻷﻓﻖ‬ ‫ﻋﻦ‬ ‫ﻣﺎﺋﻞ‬ ‫ﻣﺴﺘﻮ‬
α
‫ﻭﺟﺰء‬
BC
‫ﻣﺴﺘﻮ‬
‫ﺍﻻﺭﺗﻔﺎﻉ‬ ‫ﻋﻠﻰ‬ ‫ﻳﻮﺟﺪ‬ ‫ﺃﻓﻘﻲ‬
h
‫ﺍﻟﺸﻜﻞ‬ ) ‫ﺍﻟﻤﺴﺒﺢ‬ ‫ﻣﺎء‬ ‫ﺳﻄﺢ‬ ‫ﻣﻦ‬
-
1
.(
:‫ﺍﻟﻤﻌﻄﻴﺎﺕ‬
، ‫ﻣﻬﻤﻠﺔ‬ ‫ﺍﻻﺣﺘﻜﺎﻛﺎﺕ‬
g=10(si)
،
AB=10m
،
CE=h=1,8m
.
‫ﺍﻟﻠﺤﻈﺔ‬ ‫ﻋﻨﺪ‬ ‫ﺍﻟﻄﻔﻞ‬ ‫ﻳﻨﻄﻠﻖ‬
t=0
‫ﺍﻟﻤﻮﺿﻊ‬ ‫ﻣﻦ‬ ‫ﺍﺑﺘﺪﺍﺋﻴﺔ‬ ‫ﺳﺮﻋﺔ‬ ‫ﺑﺪﻭﻥ‬
A
‫ﻋﻠﻰ‬ ‫ﻓﻴﻨﺰﻟﻖ‬ ،
AB
‫ﺣﺮﻛﺔ‬ ‫ﻟﺪﺭﺍﺳﺔ‬ ،
G
‫ﻣﻌ‬ ‫ﻧﺨﺘﺎﺭ‬ ،
‫ﻠﻤﺎ‬
ሺ‫ܣ‬ǡ ଓ
Ԧሻ
‫ﺣﻴﺚ‬ ‫ﺑﺎﻷﺭﺽ‬ ‫ﻣﺮﺗﺒﻄﺎ‬
=0
A
=X
G
X
‫ﻋﻨﺪ‬
)
t=0
(
.
1
(
‫ﺍﻟﻤﻌﺎﺩﻟﺔ‬ ‫ﺃﻥ‬ ‫ﺃﺛﺒﺖ‬ ،‫ﻟﻨﻴﻮﺗﻦ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﺍﻟﻘﺎﻧﻮﻥ‬ ‫ﺑﺘﻄﺒﻴﻖ‬
‫ﺍﻟﻔﺎﺻﻠﺔ‬ ‫ﺗﺤﻘﻘﻬﺎ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﺘﻔﺎﺿﻠﻴﺔ‬
G
X
‫ﻋﻄﺎﻟﺔ‬ ‫ﻟﻤﺮﻛﺰ‬
:‫ﻳﻠﻲ‬ ‫ﻛﻤﺎ‬ ‫ﺗﻜﺘﺐ‬ ‫ﺍﻟﻄﻔﻞ‬
ௗమ௑ಸ
ௗ௧మ
ൌ ‰Ǥ •‹α
‫ﺣﺮﻛﺔ‬ ‫ﻁﺒﻴﻌﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬ .
G
.
2
(
‫ﺭﻗﻤﻴﺔ‬ ‫ﻛﺎﻣﻴﺮﺍ‬ ‫ﺑﻮﺍﺳﻄﺔ‬ ‫ﺍﻟﻄﻔﻞ‬ ‫ﺣﺮﻛﺔ‬ ‫ﺗﺼﻮﻳﺮ‬ ‫ﺑﻌﺪ‬
‫ﺗﻢ‬ ‫ﻣﻨﺎﺳﺐ‬ ‫ﺑﺮﻧﺎﻣﺞ‬ ‫ﺑﻮﺍﺳﻄﺔ‬ ‫ﺍﻟﻤﻌﻄﻴﺎﺕ‬ ‫ﻭﻣﻌﺎﻟﺠﺔ‬
‫ﺍﻟﻌﻄﺎﻟﺔ‬ ‫ﻟﻤﺮﻛﺰ‬ ‫ﺍﻟﺴﺮﻋﺔ‬ ‫ﻣﺨﻄﻂ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﺤﺼﻮﻝ‬
G
‫)ﺍﻟﺸﻜﻞ‬
-
2
.(
‫ﺃ‬
.
‫ﺍﻟﺘﺴﺎﺭﻉ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺑﻴﺎﻧﻴﺎ‬ ‫ﺃﻭﺟﺪ‬
G
a
.
‫ﺏ‬
.
‫ﺍﻟﺠﺰء‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻤﺴﺘﻐﺮﻗﺔ‬ ‫ﺍﻟﺰﻣﻨﻴﺔ‬ ‫ﺍﻟﻤﺪﺓ‬ ‫ﺣﺪﺩ‬
AB
.
e
n
c
y
-
e
d
u
c
a
t
i
o
n
AB=
،
،
CE=h=1,8m
E=h=1,8m
‫ﻤﻮﺿﻊ‬
‫ﺿﻊ‬
A
A
/
e
x
a
m
s
Mev/c
): ‫اﻟﺜﺎﱐ‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
‫اﻟﺜﺎ‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
m
s
I
.
‫ﺩﺭﺍﺳﺔ‬
‫ﺭﺍﺳﺔ‬
‫ﺣﺮﻛﺔ‬
a
m
‫ﻋﻄﺎﻟﺘﻪ‬ ‫ﻣﺮﻛﺰ‬ ‫ﻁﻔﻞ‬ ‫ﻖ‬
‫ﻋﻄﺎﻟ‬ ‫ﻣﺮﻛﺰ‬ ‫ﻔﻞ‬
G
‫ﺍﻻﺭﺗﻔﺎﻉ‬ ‫ﻋﻠﻰ‬ ‫ﺪ‬
‫ﺍﻻﺭﺗﻔﺎﻉ‬ ‫ﻰ‬
h
h
‫ﺳﻄ‬ ‫ﻣﻦ‬
‫ﻋﻠﻰ‬ ‫ﻓﻴﻨﺰﻟﻖ‬ ،
‫ﻋ‬ ‫ﻓﻴﻨﺰﻟﻖ‬ ،
3as.ency-education.com

7. 0
‫ﻣﻥ‬
8
0 7 ‫ﺍﻟﺻﻔﺣﺔ‬
II
.
‫ﻗﺬﻳﻔﺔ‬ ‫ﺷﻜﻞ‬ ‫ﻋﻠﻰ‬ ‫ﻁﻔﻞ‬ ‫ﺣﺮﻛﺔ‬ ‫ﺩﺭﺍﺳﺔ‬
):
03
( ‫ﻧﻘﺎﻁ‬
‫ﺍﻟﻤﻮﺿﻊ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺰﻟﻘﺔ‬ ‫ﺍﻟﻄﻔﻞ‬ ‫ﻋﻄﺎﻟﺔ‬ ‫ﻣﺮﻛﺰ‬ ‫ﻳﻐﺎﺩﺭ‬
C
‫ﺑﺎﻟﺴﺮﻋﺔ‬
1
-
=11 m.s
c
V
‫ﻣﺎء‬ ‫ﻓﻲ‬ ‫ﻟﻴﺴﻘﻂ‬ ‫ﺍﻷﺯﻣﻨﺔ‬ ‫ﻣﺒﺪﺃ‬ ‫ﻫﺎ‬ ‫ﻧﻌﺘﺒﺮ‬ ‫ﻟﺤﻈﺔ‬ ‫ﻋﻨﺪ‬
‫ﺣﺮﻛﺔ‬ ‫ﻧﺪﺭﺱ‬ .‫ﺍﻟﻤﺴﺒﺢ‬
G
‫ﺍﻟﻤﻌﻠﻢ‬ ‫ﻓﻲ‬
ሺ‫ܥ‬ǡ ଓ
Ԧǡ ଔ
Ԧሻ
.
1
(
‫ﺍﻟﺰﻣﻨﻴﺘﻴﻦ‬ ‫ﺍﻟﻤﻌﺎﺩﻟﺘﻴﻦ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﺃﻭﺟﺪ‬ ،‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻧﻴﻮﺗﻦ‬ ‫ﻗﺎﻧﻮﻥ‬ ‫ﺑﺘﻄﺒﻴﻖ‬
x(t)
‫ﻭ‬
y(t)
‫ﻟﺤﺮﻛﺔ‬
G
‫ﺍﺳﺘﻨﺘﺞ‬ .
‫ﻣﻌﺎﺩﻟﺔ‬
.‫ﺍﻟﻤﺴﺎﺭ‬
2
(
‫ﻳﺼﻞ‬
G
‫ﺍﻟﻤﻮﺿﻊ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺎء‬ ‫ﺳﻄﺢ‬ ‫ﺇﻟﻰ‬
I
‫ﺑﺎﻟﺴﺮﻋﺔ‬
‫ݒ‬ூ
ሬሬሬԦ
.
‫ﻭﺻﻮﻝ‬ ‫ﻟﺤﻈﺔ‬ ‫ﺃﻥ‬ ‫ﺗﺤﻘﻖ‬ .‫ﺃ‬
G
‫ﺇﻟﻰ‬
I
‫ﻫﻲ‬
=0,6s
I
t
.
‫ﺍ‬ .‫ﺏ‬
‫ﺣ‬
‫ﻗﻴﻤﺔ‬ ‫ﺴﺐ‬
‫ݒ‬ூ
‫ﺍﻟﻤﺴﺎﻓﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺣﺪﺩ‬ .
EI
.
3
(
‫ﻳﻨﺰﻟﻖ‬
‫ﻛﺘﻠﺘﻪ‬ ‫ﺁﺧﺮ‬ ‫ﻁﻔﻞ‬
m’
‫ﻣﻦ‬ ‫ﺃﻛﺒﺮ‬
m
‫ﺍﻟﻤﺴﺎﺭ‬ ‫ﻧﻔﺲ‬ ‫ﻋﻠﻰ‬
‫ﺍﻟﻤﺴﺎﻓﺔ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺗﺘﻐﻴﺮ‬ ‫ﻫﻞ‬
EI
.‫ﻋﻠﻞ‬ ‫؟‬
‫اﻟ‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
‫ﺜﺎﻟﺚ‬
):
04
‫ﻧﻘ‬
‫ﺎ‬
(‫ط‬
2
-
N.m.Kg
11
-
G=6,67x10
.‫ﺍﻟﻜﻮﻧﻲ‬ ‫ﺍﻟﺘﺠﺎﺫﺏ‬ ‫ﺛﺎﺑﺖ‬
Km
3
R=9,38x10
‫ﺗﻮﺍﺑﻌﻪ‬ ‫ﺃﺣﺪ‬ ‫ﻭﻣﺮﻛﺰ‬ ‫ﺍﻟﻤﺮﻳﺦ‬ ‫ﻛﻮﻛﺐ‬ ‫ﻣﺮﻛﺰ‬ ‫ﺑﻴﻦ‬ ‫ﺍﻟﺒﻌﺪ‬
)
P
(
Kg
23
=6,42x10
M
m
‫ﺍﻟﻤﺮﻳﺦ‬ ‫ﻛﻮﻛﺐ‬ ‫ﻛﺘﻠﺔ‬
،
p
m
‫ﺍﻟﻤﺪﺭﻭﺱ‬ ‫ﺗﺎﺑﻌﻪ‬ ‫ﻛﺘﻠﺔ‬
.
=24h37min
M
T
‫ﻧﻔﺴﻪ‬ ‫ﺣﻮﻝ‬ ‫ﺍﻟﻤﺮﻳﺦ‬ ‫ﻛﻮﻛﺐ‬ ‫ﺩﻭﺭ‬
‫ﻁﺒﻴﻌﻴﺎ‬ ‫ﻗﻤﺮﺍ‬ ‫ﻧﻌﺘﺒﺮ‬
)
P
(
‫ﺍﻟﻤﺮﻳﺦ‬ ‫ﻟﻜﻮﻛﺐ‬ ‫ﺗﺎﺑﻌﺎ‬
‫ﺑﺴﺮﻋﺔ‬ ‫ﻣﻨﺘﻈﻤﺔ‬ ‫ﺩﺍﺋﺮﻳﺔ‬ ‫ﺑﺤﺮﻛﺔ‬ ‫ﺣﻮﻟﻪ‬ ‫ﻳﺪﻭﺭ‬
X
I
:‫ﻣﺪﺍﺭﻩ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻄﺒﻴﻌﻲ‬ ‫ﺍﻟﻘﻤﺮ‬ ‫ﺗﻮﺍﺯﻥ‬ ‫ﺩﺭﺍﺳﺔ‬
1
-
‫ﺍﻟﺪﺍﺋ‬ ‫ﺍﻟﺤﺮﻛﺔ‬ ‫ﺗﻌﺮﻳﻒ‬ ‫ﺃﻋﻂ‬
.‫ﺍﻟﻤﻨﺘﻈﻤﺔ‬ ‫ﺮﻳﺔ‬
2
-
‫ﺑ‬
‫ﺍﻟﻤﺮﻳﺦ‬ ‫ﻟﻜﻮﻛﺐ‬ ‫ﺍﻟﺘﺎﺑﻊ‬ ‫ﺍﻟﻄﺒﻴﻌﻲ‬ ‫ﺍﻟﻘﻤﺮ‬ ‫ﺗﺴﺎﺭﻉ‬ ‫ﻟﺸﻌﺎﻉ‬ ‫ﻭﺍﻻﺗﺠﺎﻩ‬ ‫ﻭﺍﻟﺤﺎﻣﻞ‬ ‫ﺍﻟﺘﺄﺛﻴﺮ‬ ‫ﻧﻘﻄﺔ‬ ‫ﻣﻨﺎﺳﺐ‬ ‫ﺑﺮﺳﻢ‬ ‫ﻴﻦ‬
3
-
‫ﺑﺪﻻﻟﺔ‬ ‫ﺍﻟﺘﺴﺎﺭﻉ‬ ‫ﺷﺪﺓ‬ ‫ﻋﺒﺎﺭﺓ‬ ‫ﺃﻋﻂ‬
X
،
r
4
-
‫ﻧﻴ‬ ‫ﻗﺎﻧﻮﻥ‬ ‫ﻁﺒﻖ‬
‫ﺍﻟﻤﺬﻛﻮﺭ‬ ‫ﺍﻟﻘﻤﺮ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﺜﺎﻧﻲ‬ ‫ﻮﺗﻦ‬
.
‫ﺃ‬
(
‫ﻫﻲ‬ ‫ﻣﺪﺍﺭﻩ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﻘﻤﺮ‬ ‫ﺳﺮﻋﺔ‬ ‫ﺃﻥ‬ ‫ﺍﺳﺘﻨﺘﺞ‬
r
m
G M
˜
X
‫ﺏ‬
(
‫ﺗﺮﺑﻂ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﻌﻼﻗﺔ‬ ‫ﺃﻭﺟﺪ‬
v
،
r
‫ﻭ‬
P
T
‫ﺣﺮﻛﺔ‬ ‫)ﺩﻭﺭ‬
P
.(‫ﺍﻟﻤﺮﻳﺦ‬ ‫ﻛﻮﻛﺐ‬ ‫ﺣﻮﻝ‬
‫ﺝ‬
(
‫ﺍﻟﻌﻼﻗﺔ‬ ‫ﺻﺤﺔ‬ ‫ﺑﺮﻫﻦ‬
3
2
13
3
2
10
22
,
9
˜
u m
s
r
Tp
‫ﺩ‬
(
‫ﺍﻟﺪﻭﺭ‬ ‫ﻗﻴﻤﺔ‬ ‫ﺍﺳﺘﻨﺘﺞ‬
P
T
.
‫ﻩ‬
(
‫ﺍﻟﻤﺮﻳﺦ؟‬ ‫ﺑﻜﻮﻛﺐ‬ ‫ﻣﺘﺼﻠﺔ‬ ‫ﻟﻤﺤﻄﺔ‬ ‫ﺑﺎﻟﻨﺴﺒﺔ‬ ‫ﻣﺴﺘﻘﺮﺍ‬ ‫ﻳﻜﻮﻥ‬ ‫ﺣﺘﻰ‬ ‫ﺻﻨﺎﻋﻲ‬ ‫ﻗﻤﺮ‬ ‫ﻭﺿﻊ‬ ‫ﻳﺠﺐ‬ ‫ﻣﺴﺘﻮﻯ‬ ‫ﺃﻱ‬ ‫ﻓﻲ‬
‫ﻭ‬
(
‫ﺍﻟﺪﻭﺭ‬ ‫ﻫﻮ‬ ‫ﻣﺎ‬
S
T
‫ﺍﻟﺼﻨﺎﻋﻲ‬ ‫ﺍﻟﻘﻤﺮ‬ ‫ﻫﺬﺍ‬ ‫ﻟﺤﺮﻛﺔ‬
‫؟‬
e
n
c
y
-
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
2
2
(
‫ﻳﺼ‬
‫ﺗﺤﻘﻖ‬ .‫ﺃ‬
.‫ﺃ‬
‫ﺍ‬ .‫ﺏ‬
‫ﺍ‬ .‫ﺏ‬
‫ﺣ‬
‫ﺣ‬
‫ﻗﻴﻤ‬ ‫ﺣﺴﺐ‬
‫ﺣ‬
3
(
‫ﻳﻨﺰﻟﻖ‬
‫ﻳﻨﺰﻟﻖ‬
‫ﻛﺘ‬ ‫ﺁﺧﺮ‬ ‫ﻁﻔﻞ‬
‫ﺁﺧ‬ ‫ﻁﻔﻞ‬
‫اﻟ‬ ‫ﻦ‬
‫ﺜﺎﻟﺚ‬
‫ﺚ‬ ‫ﻟ‬
):
):
04
04
‫ﻧﻘ‬
‫ﻘ‬
‫ﻘﺎ‬
(‫ط‬
e
x
G=6,67x
G=6,6
‫ﺍﻟﺘﺠﺎﺫ‬ ‫ﺛﺎﺑﺖ‬
‫ﺛﺎﺑﺖ‬
‫ﺍﻟﻤﺮ‬ ‫ﻛﻮﻛﺐ‬ ‫ﻣﺮﻛﺰ‬ ‫ﺑﻴﻦ‬ ‫ﻌﺪ‬
‫ﻛﻮﻛﺐ‬ ‫ﻣﺮﻛﺰ‬ ‫ﻦ‬
‫ﺍﻟﻤﺮﻳﺦ‬ ‫ﻛﻮﻛﺐ‬
‫ﺍﻟﻤﺮﻳﺦ‬ ‫ﺐ‬
،
،
p
p
m
mp
p
p
‫ﻛﺘﻠﺔ‬
‫ﻧﻔﺴﻪ‬ ‫ﺣﻮﻝ‬ ‫ﺮﻳﺦ‬
‫ﻧﻔﺴﻪ‬ ‫ﺣﻮﻝ‬
‫ﻳﺦ‬
‫ﺩﺍ‬ ‫ﺑﺤﺮﻛﺔ‬ ‫ﺣﻮﻟﻪ‬ ‫ﻳﺪﻭﺭ‬
‫ﺣﻮﻟﻪ‬ ‫ﻭﺭ‬
‫ﺍﻟﺘ‬ ‫ﺍﻟﻄﺒﻴﻌﻲ‬ ‫ﺍﻟﻘﻤﺮ‬ ‫ﺗﺴﺎﺭﻉ‬
‫ﺍﻟﻄﺒﻴﻌ‬ ‫ﺍﻟﻘﻤﺮ‬ ‫ﺭﻉ‬
3as.ency-education.com

8. 0
‫ﻣﻥ‬
8
0 8 ‫ﺍﻟﺻﻔﺣﺔ‬
‫اﳉﺰ‬
‫ء‬
‫اﻟﺜﺎﱐ‬
‫ﻋﻠﻰ‬ :
)
7
‫ﻧﻘﺎط‬
(
‫ـ‬‫ـ‬‫ـ‬‫ﻴ‬‫اﻟﻜﻤ‬ )
‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬
‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬
‫ـ‬‫ـ‬‫ـ‬‫ـ‬
‫ـ‬‫ـ‬‫ـ‬‫ـ‬‫ـ‬
(‫ﺎء‬
‫اﻟﺜﺎﻟﺚ‬ ‫ﻳﻦ‬‫ﺮ‬‫اﻟﺘﻤ‬
:
I
.
): ‫ﻛﺮﺑﻮﻛﺴﻴﻠﻲ‬ ‫ﻟﺤﻤﺾ‬ ‫ﺗﻮﺍﺯﻥ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺩﺭﺍﺳﺔ‬
04
( ‫ﻧﻘﺎﻁ‬
‫ﺍﻟﻤﻮﻟﻲ‬ ‫ﺗﺮﻛﻴﺰﻩ‬ ‫ﺍﻹﻳﺜﺎﻧﻮﻳﻚ‬ ‫ﻟﺤﻤﺾ‬ ‫ﻣﺤﻠﻮﻻ‬ ‫ﻧﻌﺘﺒﺮ‬
0
C
.
1
‫؟‬ ‫ﺍﻟﻤﺎء‬ ‫ﻣﻊ‬ ‫ﺍﻹﻳﺜﺎﻧﻮﻳﻚ‬ ‫ﺣﻤﺾ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺃﻛﺘﺐ‬ ‫ـ‬ (
2
‫ﻋﻦ‬ ‫ﻋﺒﺮ‬ ‫ـ‬ (
f
@
+
O
3
H
‫ﻭ‬
f
@
-
COO
3
CH
‫ﺑﺪﻻﻟﺔ‬
0
C
‫ﺍﻟﻨﻬﺎﺋﻴﺔ‬ ‫ﺍﻟﻨﺴﺒﺔ‬ ‫ﻭ‬
W
‫؟‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻟﺘﻘﺪﻡ‬
3
‫ﺇﺳﺘﻨﺘﺞ‬ ‫ـ‬ (
f
@
COOH
3
CH
‫ﺑﺪﻻﻟﺔ‬
0
C
‫ﻭ‬
W
‫؟‬
4
‫ﻟﻠﺜﻨﺎﺋﻴﺔ‬ ‫ﺍﻟﺤﻤﻮﺿﺔ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺃﻥ‬ ‫ﺑﻴﻦ‬ ‫ـ‬ (
τ
τ
-
1
C
=
K
2
0
A
5
‫ﻟـ‬ ‫ﻣﺨﺘﻠﻔﺔ‬ ‫ﻗﻴﻢ‬ ‫ﺃﺟﻞ‬ ‫ﻣﻦ‬ ‫ـ‬ (
0
C
‫ﻗﻴﻤﺔ‬ ‫ﺍﻟﻨﺎﻗﻠﻴﺔ‬ ‫ﻗﻴﺎﺱ‬ ‫ﻁﺮﻳﻖ‬ ‫ﻋﻦ‬ ‫ﻧﻌﻴﻦ‬
W
.
‫؟‬ ‫ﺍﻟﺘﺎﻟﻲ‬ ‫ﺍﻟﺠﺪﻭﻝ‬ ‫ﺃﻛﻤﻞ‬ ‫ـ‬ ‫ﺃ‬
‫ـ‬ ‫ﺏ‬
‫ﺍﻟﺒﻴﺎﻥ‬ ‫ﺃﺭﺳﻢ‬
y = f ( x )
‫؟‬
‫ﺠ‬
‫ﻗﻴﻤﺔ‬ ‫ﺇﺳﺘﻨﺘﺞ‬ ‫ـ‬
K
‫؟‬
II
.
‫ﺍﻻﺳﺘﺮ‬ ‫ﺻﻨﺎﻋﺔ‬
):
03
( ‫ﻧﻘﺎﻁ‬
‫ﻣﻦ‬ ‫ﻋﻠﻴﻬﺎ‬ ‫ﺍﻟﺤﺼﻮﻝ‬ ‫ﻳﻤﻜﻦ‬ .... ‫ﺍﻟﻐﺬﺍﺋﻴﺔ‬ ‫ﺍﻟﻤﻮﺍﺩ‬ ‫ﻓﻲ‬ ، ‫ﺍﻟﻤﻌﻄﺮﺍﺕ‬ ‫ﻓﻲ‬ : ‫ﺍﻟﻴﻮﻣﻴﺔ‬ ‫ﺣﻴﺎﺗﻨﺎ‬ ‫ﻓﻲ‬ ‫ﺗﻮﺟﺪ‬ ‫ﺍﻻﺳﺘﺮﺍﺕ‬
‫ﺍ‬
‫ﻟﻨﺒﺎﺕ‬
‫ﻛ‬
‫ﻳﻤﻜﻦ‬ ‫ﻤﺎ‬
‫ﺍﻟﻤﺨﺎﺑﺮ‬ ‫ﻓﻲ‬ ‫ﺇﺻﻄﻨﺎﻋﻬﺎ‬
‫ﻳﺼﻄﻨﻊ‬
‫ﺍﻻﺳﺘﺮ‬
‫ﻣ‬ . ( ‫ﺍﻟﻤﻴﺜﺎﻧﻮﻝ‬ ، ‫ﺍﻟﺒﻨﺰﻭﻳﻚ‬ ‫ﺣﻤﺾ‬ ) ‫ﻟﻠﺠﻤﻠﺔ‬ ‫ﻛﻴﻤﻴﺎﺋﻲ‬ ‫ﺗﺤﻮﻝ‬ ‫ﻣﻦ‬ ‫ﺇﻧﻄﻼﻗﺎ‬ ‫ﺩﺭﺍﺳﺘﻪ‬ ‫ﻧﺮﻳﺪ‬ ‫ﺍﻟﺬﻱ‬
‫ﺫﻟﻚ‬ ‫ﺃﺟﻞ‬ ‫ﻦ‬
‫ﻧﻤﺰﺝ‬
= 12.2 g
1
m
‫ﺣﺠﻢ‬ ‫ﻣﻊ‬ ‫ﺍﻟﺒﻨﺰﻭﻳﻚ‬ ‫ﺣﻤﺾ‬ ‫ﻣﻦ‬
= 30 mL
2
V
‫ﺍﻟﻤﺮﻛﺰ‬ ‫ﺍﻟﻜﺒﺮﻳﺖ‬ ‫ﺣﻤﺾ‬ ‫ﻣﻦ‬ ‫ﻗﻄﺮﺍﺕ‬ ‫ﺑﻮﺟﻮﺩ‬ ‫ﺍﻟﻤﻴﺜﺎﻧﻮﻝ‬ ‫ﻣﻦ‬
‫ﻟﻤﺪﺓ‬ ‫ﺍﻟﻤﺮﺗﺪ‬ ‫ﺑﺎﻟﺘﻘﻄﻴﺮ‬ ‫ﻧﺴﺨﻦ‬
60 min
‫ﺍﻟﺘﺒﺮﻳ‬ ‫ﺑﻌﺪ‬
‫ﺪ‬
‫ﺟﻠﻴ‬ + ‫ﻣﺎء‬ ) ‫ﻋﻠﻰ‬ ‫ﺗﺤﺘﻮﻱ‬ ‫ﺣﺒﺎﺑﺔ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺒﺎﻟﻮﻧﺔ‬ ‫ﻣﺤﺘﻮﻯ‬ ‫ﻧﺴﻜﺐ‬
‫ﻋﻠﻰ‬ ‫ﻟﻨﺤﺼﻞ‬ ( ‫ﺪ‬
‫ﺍﻷﺧﻴﺮ‬ ‫ﻓﻲ‬ ‫ﻟﻨﺤﺼﻞ‬ ‫ﺍﻹﺳﺘﺮ‬ ‫ﻋﻠﻰ‬ ‫ﻳﺤﺘﻮﻱ‬ ‫ﺍﻟﺬﻱ‬ ‫ﺍﻟﻄﻮﺭ‬ ‫ﻧﻌﺰﻝ‬ . ‫ﻣﺨﺘﻠﻔﻴﻦ‬ ‫ﻁﻮﺭﻳﻦ‬
‫ﻛﺘﻠﺔ‬ ‫ﻋﻠﻰ‬
9.52 g
‫ﻣﻦ‬
‫ﺍﻻﺳﺘﺮ‬
.
: ‫ﺍﻟﻤﻌﻄﻴﺎﺕ‬
‫ﺍﻟﺤﺠﻤﻴﺔ‬ ‫ﺍﻟﻜﺘﻠﺔ‬
)
1
-
g.L
(
‫ﺍﻟﻤﻮﻟﻴﺔ‬ ‫ﺍﻟﻜﺘﻠﺔ‬
)
1
-
g.mol
(
‫ﺍﻟﺼﻴﻐﺔ‬
‫ﺍﻟﻜﻴﻤﻴﺎﺋﻲ‬ ‫ﺍﻟﻨﻮﻉ‬
1.3
122
COOH
5
H
6
C
‫ﺍﻟﺒﻨﺰﻭﻳﻚ‬ ‫ﺣﻤﺾ‬
0.80
32
OH
-
3
CH
‫ﺍﻟﻤﻴﺜﺎﻧﻮﻝ‬
1.1
136
‫ﺩﺭﺍﺳﺘﻪ‬ ‫ﻣﺮﺍﺩ‬ ‫ﺍﻻﺳﺘﺮ‬
1
‫ﺍﻟﺒﻨﺰﻭﻳﻚ‬ ‫ﻟﺤﻤﺾ‬ ‫ﺍﻟﻤﺎﺩﺓ‬ ‫ﻛﻤﻴﺔ‬ ‫ﻋﻴﻦ‬ ‫ـ‬
‫ﻭ‬
‫؟‬ ‫ﺍﻟﻤﺴﺘﻌﻤﻞ‬ ‫ﻟﻠﻤﻴﺜﺎﻧﻮﻝ‬ ‫ﺍﻟﻤﺎﺩﺓ‬ ‫ﻛﻤﻴﺔ‬
2
‫؟‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻟﺘﺴﺮﻳﻊ‬ ‫ﺃﺳﺘﻌﻤﻠﺖ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﺤﺮﻛﻴﺔ‬ ‫ﺍﻟﻌﻮﺍﻣﻞ‬ ‫ﻋﻴﻦ‬ ‫ـ‬
3
‫؟‬ ‫ﺍﻟﻤﺮﺗﺪ‬ ‫ﺍﻟﺘﻘﻄﻴﺮ‬ ‫ﻣﻊ‬ ‫ﺍﻟﺘﺴﺨﻴﻦ‬ ‫ﺃﺳﺘﻌﻤﻞ‬ ‫ﻟﻤﺎﺫﺍ‬ ‫ـ‬
4
‫ﺇﺻﻄﻨﺎﻉ‬ ‫ﺗﻔﺎﻋﻞ‬ ‫ﻣﻌﺎﺩﻟﺔ‬ ‫ﺃﻛﺘﺐ‬ ‫ـ‬
‫ﺍﻻﺳﺘﺮ‬
‫؟‬
‫؟‬ ‫ﺍﺳﻤﻪ‬ ‫ﺍﻋﻂ‬
5
‫ـ‬
‫؟‬ ‫ﺍﻟﺘﺤﻮﻝ‬ ‫ﻫﺬﺍ‬ ‫ﺧﺼﺎﺋﺺ‬ ‫ﺍﻋﻂ‬
6
‫ﺛﻢ‬ ‫ﻋﺮﻑ‬ ‫ـ‬
‫؟‬ ‫ﺍﻟﺘﻔﺎﻋﻞ‬ ‫ﻣﺮﺩﻭﺩ‬ ‫ﺃﺣﺴﺐ‬
4
-
10
u
5
3
-
10
u
1
3
-
10
u
5
2
-
10
u
1
( mol / L )
0
C
2
-
10
u
16
2
-
10
u
12.5
2
-
10
u
5.6
2
-
10
u
4
W
0
C
1
=
x
τ
τ
-
1
C
=
y
2
0
e
n
c
y
-
e
d
u
c
a
t
i
o
n
.
c
o
m
/
e
x
a
m
s
‫ﺃﻛ‬ ‫ـ‬ (
2
2
‫ﻋﺒﺮ‬ ‫ـ‬ (
‫ـ‬ (
3
3
‫ﺇﺳﺘﻨﺘﺞ‬ ‫ـ‬ (
‫ﺇﺳﺘﻨﺘ‬ ‫ـ‬ (
f
4
‫ﺍﻟﺤ‬ ‫ﺛﺎﺑﺖ‬ ‫ﺃﻥ‬ ‫ﺑﻴﻦ‬ ‫ـ‬ (
‫ﺛﺎﺑ‬ ‫ﺃﻥ‬ ‫ﺑﻴﻦ‬ ‫ـ‬ (
‫ﻟـ‬ ‫ﻣﺨﺘﻠﻔﺔ‬ ‫ﻗﻴﻢ‬ ‫ﺃﺟﻞ‬ ‫ﻣﻦ‬ ‫ـ‬ (
‫ﻣﺨﺘﻠ‬ ‫ﻗﻴﻢ‬ ‫ﺃﺟﻞ‬ ‫ﻦ‬
‫؟‬ ‫ﺍﻟﺘﺎﻟﻲ‬ ‫ﺍﻟﺠﺪﻭﻝ‬ ‫ﺃﻛﻤﻞ‬ ‫ـ‬
‫ﺍﻟﺘﺎﻟ‬ ‫ﺍﻟﺠﺪﻭﻝ‬ ‫ﻤﻞ‬
‫ﻗﻴﻤﺔ‬ ‫ﺇﺳﺘﻨﺘﺞ‬
‫ﻗﻴﻤﺔ‬ ‫ﺞ‬
K
K
‫؟‬
‫؟‬
‫ﺍ‬ ‫ﺍﻟﻤﻮﺍﺩ‬ ‫ﻓﻲ‬ ، ‫ﻟﻤﻌﻄﺮﺍﺕ‬
‫ﺍﻟﻤﻮ‬ ‫ﻓﻲ‬ ، ‫ﺮﺍﺕ‬
‫ﺣﻤﺾ‬ ) ‫ﻟﻠﺠﻤﻠﺔ‬ ‫ﻛﻴﻤﻴﺎﺋﻲ‬ ‫ﻝ‬
‫ﺣﻤ‬ ) ‫ﻟﻠﺠﻤﻠﺔ‬ ‫ﻤﻴﺎﺋﻲ‬
2
V
V
‫ﺑﻮﺟ‬ ‫ﺍﻟﻤﻴﺜﺎﻧﻮﻝ‬ ‫ﻣﻦ‬
‫ﺍﻟﻤﻴﺜﺎﻧﻮﻝ‬ ‫ﻣﻦ‬
‫ﺗﺤﺘ‬ ‫ﺣﺒﺎﺑﺔ‬ ‫ﻓﻲ‬ ‫ﺍﻟﺒﺎﻟﻮﻧﺔ‬ ‫ﻮﻯ‬
‫ﺣﺒﺎﺑ‬ ‫ﻓﻲ‬ ‫ﻟﺒﺎﻟﻮﻧﺔ‬
‫ﺍﻷﺧﻴﺮ‬ ‫ﻓﻲ‬ ‫ﻞ‬
‫ﻷﺧﻴﺮ‬
‫ﻛﺘﻠﺔ‬ ‫ﻋﻠﻰ‬
‫ﻛﺘ‬ ‫ﻋﻠﻰ‬
g
‫ﻐﺔ‬
‫ﺍﻟﻨ‬
‫ﺍﻟ‬
u
c
u
c
u
c
u
c
u
c
u
c
u
c
u
c
u
c
u
c
u
c
C
‫ﺣﻤﺾ‬
‫ﺣ‬
d
u
d
u
u
u
u
u
u
u
u
u
u
u
‫ﺍﻟﻤﻴﺜﺎﻧﻮﻝ‬
‫ﺍﻟﻤﻴ‬
d
d
‫ﺩﺭﺍﺳ‬ ‫ﻣﺮﺍﺩ‬ ‫ﺍﻻﺳﺘﺮ‬
‫ﻣﺮ‬ ‫ﻻﺳﺘﺮ‬
e
d
e
d
-
e
-
e
4
-
10
10
u
u
5
5
x
a
e
1
u
16
16
2
2
-
-
10
e
e
e
x
/
e
/
e
/
e
/
e
/
e
m
o
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