oplm

1. ‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ر‬ ‫ا‬
‫ا‬ ‫ا‬ ‫وزرة‬
‫ت‬ ‫ا‬ ‫دة‬ ‫ر‬ ‫ا‬ ‫ذج‬
‫ا‬:‫ت‬ ‫ر‬
‫ة‬ ‫ا‬:04‫ت‬
‫ا‬:07
‫ول‬ ‫ا‬ ‫ا‬)03‫ط‬(
1-‫أ‬-‫د‬ ‫ا‬ ‫أن‬ ‫أ‬251‫أو‬ ‫د‬.
‫ب‬-‫د‬ ‫ا‬2008‫إ‬‫آ‬ ‫ا‬ ‫ا‬ ‫اد‬ ‫ا‬ ‫وا‬ ‫أو‬ ‫ا‬ ‫اء‬2008.
2-‫ا‬ ‫اد‬ ‫ا‬a‫و‬b
‫أن‬:
‫ا‬ ‫ا‬)50‫ط‬(
‫و‬ ‫إ‬ ‫ب‬ ‫ء‬ ‫ا‬( ); , ,O i j k.
1-‫ا‬ ‫أن‬‫ا‬ ‫ء‬ ‫ا‬
‫ه‬‫ع‬.
2-‫ا‬ ‫أن‬‫ء‬ ‫ا‬‫ا‬
‫د‬ ‫ا‬ ‫ه‬‫و‬,‫ر‬ ‫د‬ ‫د‬ ‫ء‬ ‫إ‬.
‫أن‬:.
3-‫د‬‫ي‬ ‫ا‬( )mP‫ر‬ ‫ا‬ ‫د‬ ‫ف‬ ‫ا‬
( ) ( ) ( )1 3 2 2 1 2 0m x m y m z m+ + + + − + − =
‫أ‬-‫أن‬( )mP‫ي‬.
‫ب‬-‫ي‬ ‫آ‬ ‫أن‬ ‫ه‬‫ي‬ ‫ا‬ ‫ه‬( )mP‫ر‬ ‫؟‬.
‫ا‬‫ا‬)50‫ط‬(
‫ي‬ ‫ا‬‫و‬ ‫إ‬ ‫ب‬( ); ,O i j.
‫ا‬ ‫ؤ‬ ‫ي‬ ‫ا‬ ‫آ‬ ‫ا‬ ‫د‬ ‫ا‬‫و‬‫ة‬.
1-‫أ‬-‫أآ‬‫ا‬‫ا‬ ‫و‬ ‫ي‬ ‫ا‬.
‫ب‬-‫آ‬ ‫ا‬ ‫اد‬ ‫ا‬‫ل‬ ‫ا‬ ‫ذات‬ ‫د‬ ‫ا‬‫ا‬:
‫أن‬‫د‬)1(،‫ا‬ ‫ا‬ ‫ا‬.
2-‫ا‬A،B‫و‬C‫آ‬ ‫ا‬ ‫اد‬ ‫ا‬ ‫ر‬1Z،2Z‫و‬L‫آ‬ ‫ا‬ ‫ي‬ ‫ا‬ ‫ا‬.
‫أ‬-‫ن‬‫ا‬ ‫أن‬ ‫ا‬ ‫ه‬‫ع‬ ‫ا‬.

2. ‫ب‬-‫أ‬ ‫ال‬ ‫ا‬ ‫ا‬,‫و‬‫ا‬ ‫آ‬.
-‫أن‬‫ا‬ ‫ه‬‫ة‬ ‫دا‬ ‫إ‬ ‫وأ‬.
-‫ا‬‫ي‬ ‫ا‬:.
‫ا‬ ‫ا‬ ‫ه‬ ‫ذا‬‫؟‬
‫ا‬ ‫ا‬ ‫ا‬)03‫ط‬(
‫ا‬ ،‫ج‬ ،‫ب‬ ،‫أ‬ ‫ت‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫آ‬.
‫أ‬‫ب‬‫ج‬
‫ن‬ ‫آ‬ ‫إذا‬( ) exp(2 1)f x x= +‫ن‬:( ) ( )f x f x′ =( ) ( )2f x f x′ =( ) ( )2f x f x′=
‫د‬ ‫ي‬ ‫ا‬ ‫ا‬1y x= − +
‫ا‬ ‫ا‬ ‫رب‬f:
( )
2
2
1
x
f x
x
−
=
+
( )
3
3 1
1
x x
f x
x
+ +
=
−
( )
2
1
1
x
f x x
x
= − + +
+
‫ا‬ ‫ا‬f‫ا‬
‫رة‬:( ) 3 2
16f x x= −‫ه‬:
‫ا‬ℝ] [ [ [; 4 4;I = −∞ − ∪ + ∞[ ]4;4I = −
‫ا‬ ‫ا‬)04‫ط‬(
‫آ‬ ‫ي‬12‫ة‬ ‫آ‬:3‫م‬ ‫ر‬ ‫ا‬ ‫ء‬1,1,2
4‫م‬ ‫ر‬ ‫ا‬ ‫اء‬1,1,2,2
5‫م‬ ‫ر‬ ‫ا‬ ‫اء‬1,2,2,2,3
‫ا‬ ‫آ‬ ‫وا‬ ‫ن‬ ‫و‬ ‫ا‬.
1-‫د‬ ‫ا‬:"‫ن‬ ‫ا‬ ‫آ‬. "
"‫آ‬‫ة‬‫ا‬ ‫اء‬"
‫أ‬-‫ادث‬ ‫ا‬ ‫د‬ ‫آ‬ ‫ل‬ ‫ا‬ ‫أ‬:,,
‫ب‬-‫ن‬ ‫د‬ ‫ا‬ ‫ه‬,‫؟‬ ‫ن‬
2-‫ا‬ ‫ا‬ ‫ا‬ ‫د‬ ‫ا‬ ‫ع‬ ‫ي‬ ‫ا‬ ‫ا‬ ‫ا‬ ‫ا‬
‫أ‬-‫ا‬ ‫ا‬ ‫ا‬ ‫ل‬ ‫ا‬ ‫ن‬ ‫أ‬.
‫ب‬-‫ا‬ ‫ا‬ ‫أ‬‫ا‬ ‫ا‬.

3. ‫ا‬ ‫و‬ ‫ذ‬ ‫ا‬ ‫ا‬)3‫ت‬ ‫ر‬(
‫ول‬ ‫ا‬ ‫ا‬)03(
1-‫أ‬-‫أن‬ ‫ت‬ ‫إ‬251‫أو‬...............................................................................................
‫ب‬-2008‫أو‬ ‫ا‬ ‫اء‬ ‫إ‬.........................................................................
‫ا‬ ‫اد‬ ‫ا‬ ‫ج‬ ‫ا‬2008.................................................................
2-‫ت‬ ‫ا‬..................................................................................
0.25
0.75
0.50
1.5
‫ع‬ ‫ا‬03
‫ا‬ ‫ا‬)05(
1-‫ه‬ ‫ا‬ ‫أن‬ ‫ن‬...............................................................................
‫ـ‬ ‫ع‬............................................................................................
2-‫د‬ ‫ا‬ ‫ه‬ ‫ا‬ ‫أن‬ ‫ن‬‫و‬‫ر‬ ‫ا‬ ‫د‬ ‫ا‬..................
‫أن‬ ‫ا‬:.............................................................................
3-‫أ‬-‫أن‬ ‫ن‬‫ي‬............................................................................................
‫ب‬-‫ي‬ ‫آ‬ ‫أن‬ ‫ن‬‫ه‬ ‫ورة‬)‫د‬ ‫ل‬........................................ (
1
0.5
1
0.5
1
0.5+0.5
‫ع‬ ‫ا‬05
‫ا‬ ‫ا‬)05(
1-‫أ‬-‫آ‬‫وا‬ ‫ي‬ ‫ا‬ ‫ا‬.........................................................................
‫ب‬-‫أن‬1‫ا‬ ‫ا‬ ‫ج‬ ‫وا‬........................................................................
2-‫أ‬-:...................................................................................
‫ا‬ ‫أن‬ ‫ن‬‫ع‬ ‫ا‬.............................................................................
‫ب‬-‫أن‬ ‫ن‬..................................................................................
‫أن‬ ‫ن‬‫ة‬ ‫دا‬ ‫إ‬...................................................................................
-‫ا‬.............................................................................................
-‫إ‬ ‫ا‬....................................................................
0.5+0.5
0.5+0.5
0.5
0.5
0.5
0.5
0.5
0.5
‫ع‬ ‫ا‬05
‫ا‬ ‫ا‬ ‫ا‬)3(
‫ا‬ ‫إ‬ ‫ة‬ ‫وا‬
‫ا‬ ‫ا‬)04‫ط‬(
1-‫أ‬-
................................................................
‫ب‬-‫إذن‬,
................................................................
2-
........................................................................................................
−‫ل‬ ‫ا‬ ‫ن‬:
‫ع‬ ‫ا‬5432
0.5×
3
0.5
0.5
1

4. 1
‫ب‬-‫ا‬ ‫ا‬:
0.5
‫ع‬ ‫ا‬4