سلسلة الليالى العشر

1. ٠

2. ١
<<<<<<<<
‫أو‬ ‫د‬‫د‬)(=}{
‫د‬‫د‬ ‫أو‬)‫اد‬(=}١،٢،٣،٤،٥،..................{
‫اد‬‫دت‬ ‫أ‬‫ا‬‫د‬
}{}١،٢،٣،٤،٥،...........{=‫ــ‬
‫ی‬ ‫أآ‬:
١....................
٣.........
........

3. ٢
)‫ر‬(
(‫ا‬ ‫ا‬)cccc،∉∉∉∉،⊃⊃⊃⊃،TTTT(
(..........(}}}}{{{{..........
(..........(}}}}{{{{..........
(,..........(..........
(‫ـــــ‬..........(,..........
(}}}},{{{{..........(}}}}{{{{..........
٢()YYYY(‫و‬ ، ‫ا‬ ‫رة‬ ‫ا‬ ‫م‬ ‫أ‬)XXXX(‫ا‬ ‫م‬ ‫أ‬
(}}}}{{{{cccc( )
(( )
(cccc( )
(∉∉∉∉( )
(( )
()(( )
(}}}}{{{{}}}}{{{{=( )
(}}}}{{{{}}}}{{{{=∅∅∅∅( )
(( )
(∅∅∅∅⊃⊃⊃⊃( )
(∅∅∅∅TTTT( )
٢
٣
٢
١٠

4. ٣
<<<<<<<<<<<<<<<<<<<<<<<<
)()(
‫ﻥ‬ ‫وق‬ ‫ز‬ ‫ذا‬ ‫ى‬ ‫ی‬‫ـ‬، ‫ق‬‫و‬‫س‬‫ق‬‫؟‬
‫ی‬ ‫أآ‬:
().............................. = (
()= (...............................
()hhhh.................................. = (
(=………… ……….
(.......... =
) ((hhhh............... =

5. ٤
٥
٥
١٥
٣
)‫ر‬(
١(‫ی‬ ‫أآ‬:
(....... =.............
(..................... =
(hhhh.................... =
(}}}}{{{{................ =
(hhhh.............. =
(............... =
٢(‫ا‬ ‫ﺏ‬ ‫ا‬ ‫اﺥ‬‫ا‬ ‫ﺏ‬:
(..................)(((((
(..............)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT(
(............ =)(
(,.................)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT(
(...............)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT(
(...............)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT(
(}}}}{{{{..............)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT(
(..............)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT(
(}}}}{{{{}}}}{{{{...............)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT(
()(....)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT
(...............)(

6. ٥
(}}}}{{{{=......................
)}}}}{{{{}}}}{{{{}}}}{{{{∅∅∅∅(
(×=................
)(
(×........
)JJJJ⊃⊃⊃⊃∉∉∉∉TTTT(
(×=.............
)(
٣()YYYY(‫و‬ ‫ا‬ ‫رة‬ ‫ا‬ ‫م‬ ‫أ‬)XXXX(‫ا‬ ‫رة‬ ‫ا‬ ‫م‬ ‫أ‬:
(( )
(JJJJ)(
(ppppJJJJ)(
()(
(‡‡‡‡JJJJ)(
(hhhh=)(
(∅∅∅∅⊃⊃⊃⊃)(

7. ٦
< << << << << << << << <<<<<<<<<
١
NNNN٣
٤

8. ٧
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
‫أو‬٢+٣‫ا‬‫اد‬
٢+٣=٥،٥cccc‫ط‬
٢ ٥١ ٣ ٤‫ﺹ‬

9. ٨
٥+٤=٤+٥=٩

10. ٩
٣cccc‫ط‬،٥cccc‫ط‬
‫ن‬٣+٥=٨٨cccc‫ط‬

11. ١٠
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
‫ن‬ ‫آ‬ ‫إذا‬‫س‬‫ث‬ ‫و‬،‫ا‬ ‫ن‬
‫ا‬ ‫اس‬ ‫ﺡ‬‫س‬ ‫ا‬ ‫آ‬ ‫ﺡ‬
‫س‬+‫س‬ ‫ا‬ ‫دة‬ ‫ی‬ ‫ا‬
=٢٠٣+‫ﺹ‬=٢٠٣
)‫أ‬+٠=‫أ‬(‫أ‬ ‫ﺡ‬cccc‫ط‬
‫ا‬‫ــ‬‫ا‬‫ـ‬‫ا‬ ‫ه‬‫ــــ‬

12. ١١
١٠٠+٥٠+٢٠٠) =١٠٠+٥٠+ (٢٠٠
=١٠٠) +٥٠+٢٠٠(

13. ١٢
ُ ‫أن‬ ‫ا‬ ‫ه‬‫ات‬ ‫ُـــ‬‫آ‬‫ت‬ ‫ﺡ‬ ‫م‬ ‫أﺡ‬‫و‬٧‫ت‬‫؟‬
‫ا‬-‫ت‬ ‫ﺡ‬
٧‫ت‬-٩‫ت‬=)‫ﺡ‬ ‫ا‬ ‫ن‬‫ــ‬‫ت‬ ‫س‬(
‫ا‬ ‫ا‬ ‫ام‬ ‫ﺏ‬ ‫أآ‬)JJJJ∉∉∉∉(
) (+.......... (
) (–.......... (
) (–....... (...

14. ١٣

15. ١٤
÷=
÷=
١ ٢
٣٤
٥٦

16. ١٥

17. ١٦
:‫ب‬ ‫ﺡ‬ ‫أو‬٣×)٢+٣٠(‫ز‬ ‫ا‬ ‫ام‬
×)+= (×+×=+=

18. ١٧
:×
=×)(
=××
==
)‫ر‬(
١(‫ی‬ ‫أآ‬:-
(....... =...
(×=×)( ..... +
()+= (×..... = .....
) (×(×) =×( .....×)( ....................
()×(×=×)×(
)............( .....
(×=×)( .....
()+= (×............. =....
(........................................
) (+(×=×+ .....×.....
) (×–×..... = (..
(–........
(×=×..... =...
(.....>.....
‫م‬ ‫ن‬

19. ١٨
٢(‫ا‬ ‫ﺏ‬ ‫ا‬ ‫ﺏ‬ ‫ا‬ ‫اﺥ‬:-
(hhhhcccccccchhhh×.....
)cccc∉∉∉∉⊃⊃⊃⊃TTTT(
(.....
)>>>>====<<<<(
(×=×)( ....................
)(
(×+×.......... =
)(
(×=×..... =
)(
) (×–×......... (
)cccc∉∉∉∉⊃⊃⊃⊃TTTT(
) (×......... (
)cccc∉∉∉∉⊃⊃⊃⊃TTTT(
(+=..........)(
(=.........)(
(×=..........)(
(......)(
(......... =
)++(

20. ١٩
٣(‫ی‬ ‫ب‬ ‫ﺹ‬ ‫ﺡ‬ ‫د‬ ‫إی‬ ‫زی‬ ‫ا‬ ‫ﺹ‬ ‫ﺥ‬ ‫م‬ ‫ا‬:-
(×
(×
(×)+(
٤(‫ا‬‫ی‬ ‫آ‬ ‫ب‬ ‫ﺡ‬ ‫وا‬ ‫زی‬ ‫وا‬ ‫ال‬ ‫ﺏ‬ ‫ا‬ ‫اص‬ ‫ﺥ‬ ‫م‬:
(××
(××
(××
()++(
) (×+×(×
٥(‫ﻥ‬ ‫آ‬ ‫إذا‬hhhh=٢‫ب‬ ،=٣‫ـ‬ ،=٤
:
(hhhh+(×hhhh+×
٢٢٢٢((((hhhh×(hhhh×+×
٣٣٣٣((((hhhh..... =) (×+×hhhh(×
٤٤٤٤((((hhhh+) (hhhh+(×)hhhh+(
٥٥٥٥((((hhhh–) (hhhh) () () () (‫ـ‬‫ـ‬‫ـ‬‫ـ‬++++hhhh((((
(
‫س‬
٢٤
١
٢١ ٧٦٥٣٠ ٨ ١٠٩

21. ٢٠
<<<<<<<<
.
‫ا‬ ‫ط‬ ‫ﻥ‬ ‫ا‬ ً ‫آ‬ ‫أآ‬:-
(...............
(...............
(...............
(..........
(×××..........

22. ٢١
)‫ر‬(
‫ا‬ ‫ط‬ ‫ﻥ‬ ‫ا‬ ً ‫آ‬ ‫أآ‬:-
(....................
(...........
(...........
(..........
(................
(..........
(...........
(.....
(×××..........
..... (..........
(...............
(...........
(.....
(..........

23. ٢٢
‫آ‬ ‫م‬‫ع‬ ‫ا‬١٠٠
‫ل‬‫ا‬ ‫إن‬ ،‫ن‬ ‫آ‬١٥٠
‫ا‬‫ي‬ ‫ا‬‫ع‬‫ل‬ ‫د‬‫؟‬
‫ــــــــــــــــ‬ ‫ا‬
+١٠٠=١٥٠
‫س‬+١٠٠=١٥٠
‫ع‬=٥٠
‫س‬
‫س‬

24. ٢٣
‫ا‬‫ــــ‬‫ا‬:‫ن‬ ‫آ‬ ‫إذا‬‫ا‬١٥٠‫ع‬‫آ‬‫ا‬
١٠٠‫ا‬‫ي‬ ‫ا‬‫ع‬‫ل‬ ‫د‬‫؟‬
‫ا‬‫ــــ‬‫ا‬‫ي‬:+=
‫ل‬١:‫أ‬‫ب‬ ‫ا‬‫ــ‬)‫وه‬ ،(١٠‫ت‬،
‫ن‬ ‫آ‬ ‫ذا‬‫س‬‫ت‬ ‫ا‬‫ن‬ ،‫ه‬‫؟‬
‫ـــــــــــــــــــ‬ ‫ا‬
‫و‬ ‫ه‬،=‫س‬
‫ه‬=‫ـــ‬‫س‬
‫ه‬=١٠‫ـ‬‫ــ‬‫س‬
‫ل‬٢:‫دان‬‫ق‬ ‫ا‬٧‫د‬ ‫ا‬ ‫ه‬ ‫وأ‬‫ص‬
‫ا‬ ‫د‬ ‫ا‬ ‫آ‬‫آ‬
=
=+

25. ٢٤
)‫ر‬(
١(‫ا‬ ‫ﺏ‬ ‫ا‬ ‫ﺏ‬ ‫ا‬ ‫اﺥ‬
()...........(
)–+–(
()( .............
)+–(
(.............
)+(
(...............
)++–(
(
.......)+(
(....................
)––+(
(............ =
)+–(
(............ =
)+–(
(.........
)–+–(
(.................... =
)+–+–(
‫ل‬
٣

26. ٢٥
٢(‫ی‬ ‫أآ‬:
(............
(
.....................
(................... =
(.......... =
(.......... =
(.................. =
٣(‫ا‬ ‫رات‬ ‫ا‬)‫ى‬ ‫ا‬ ‫ﺏ‬(
(
–
(
(
(
(
(
(
‫س‬
‫ص‬

27. ٢٦
‫ل‬١:‫ن‬ ‫آ‬ ‫إذا‬ ‫ل‬ ‫ت‬ ‫و‬‫و‬ ‫ا‬٢
=×=
=×=
)‫ا‬ ‫ه‬ ‫م‬ ‫ا‬ ‫ا‬ ‫ب‬(
)()(
=×=
)‫ﺡ‬‫د‬ ‫ا‬ ‫ـــ‬ ‫ت‬ ‫و‬ ‫ا‬ ‫أن‬(

28. ٢٧
‫ل‬٢:‫ى‬ ‫ا‬)‫ع‬ ‫ا‬(‫س‬‫او‬ ‫ا‬ ‫ام‬ ‫آ‬
‫ا‬٣‫ت‬،‫أو‬)‫ع‬ ‫ا‬(‫س‬
)(
)(=
)= (
‫ل‬٣:‫ى‬ ‫ا‬)ُ(‫س‬‫ا‬ ‫ام‬ ‫آ‬،‫وو‬
٥‫ا‬ ‫اﺡ‬ ‫ا‬ ‫ام‬ ‫ا‬ ‫ن‬ ‫آ‬ ‫ذا‬ ‫ت‬٢٥
-‫د‬ ‫اﺡ‬ُ‫س‬.
)(
=+
=+
=×+
=×+
‫ل‬٤:
.
)(
=+=

29. ٢٨
‫ل‬٥:
.
)(
‫أي‬=‫أ‬ ‫ال‬ ‫أ‬ ‫ع‬
)(=++=)(
=
)‫ر‬(
١(‫ا‬ ‫ﺏ‬ ‫ا‬ ‫ﺏ‬ ‫ا‬ ‫اﺥ‬:-
(.................. =
)+–(
(................... =
)+–""""(
(................... =
)+––(
(
......... =
)–+""""(
(................
)–+(

30. ٢٩
٢()(
)(
٣(‫ﺙ‬ ‫ﺙ‬‫ل‬ ‫أ‬
٤(
٥(‫أرﺏ‬‫ل‬ ‫أ‬
٦(‫ی‬ ‫دی‬ ‫ا‬ ‫ا‬ ‫أو‬‫س‬=٢
(+
(–
(+
(
(+

31. ٣٠
‫ا‬‫ي‬ ‫ا‬‫أ‬ُ ‫ا‬ُ ‫ا‬‫دة‬‫ء‬‫؟‬
-٦-٦
-٦
+=
‫س‬)‫ل‬ ‫ا‬(+)٦()١٠(
+=
‫س‬+٦–٦=١٠-٦
‫س‬=٤

32. ٣١
)‫ر‬(
١(‫ی‬ ‫أآ‬:
(
.........)+÷(
(+=JJJJ...... =
)(
(+=........=
)<>( =
(=JJJJ......... =
)!!(
(.............
)+(
(=JJJJ............=
)(
(............=
)+(
(..........=
)(
(...... =
)++×(
(+=JJJJ........ =
)٠٠٠٠(
(=}:JJJJ>NNNN{JJJJ‫ط‬‫ط‬‫ط‬‫ط‬
)}{}{∅(

33. ٣٢
(=JJJJ.......... =
)(
(............=
)+×(
(......
)+(
(==......... =
)(
(........
)+!!+!×(
‫ـــــــــــــــــــــــــــــ‬‫ـــــــــــــــــــــــــــــــــــــــــــــــــــــ‬
<٢(‫د‬ ‫آ‬ ‫ی‬ ً ‫اآ‬:-
(+=
(=
(+=
(=
(+=
٣(‫ا‬ ‫ت‬ ‫د‬ ‫ا‬ ً ‫آ‬ ‫ﺡ‬:-
(+=
(+=
(+=
(+=+
(+=+

34. ٣٣
(=×
(×)×) = (×(×
(=×
(×=)+(
) (+(×=×
(×=)+(
(=+×
(=+×
(×+×=×
(=) +×) + (×(
() =×) + (×+ (
(+=
(+=
(+=
(+=
(=
٤(‫ت‬ ‫د‬ ‫ا‬:< << << << <
(
(
(
(
(
(

35. ٣٤
(+=
()–=(
(
(+=
(=×
(=+×
(×
(=#
(
(
(
(
()+(
()+(
(.
(
(
(

36. ٣٥
‫ت‬ ‫آ‬‫ا‬ ‫أ‬‫ت‬ ‫آ‬ ً
‫؟‬ ‫آ‬ ‫ا‬ ‫آ‬ ‫آ‬
‫ﺡ‬‫ا‬ ‫آ‬=‫و‬ ‫ا‬ ‫ت‬ ‫ا‬ ‫د‬..... =
‫ﺡ‬ ‫ا‬‫ه‬)‫و‬ ‫ا‬ ‫ات‬ ‫ﺡ‬ ‫ا‬ ‫د‬‫ا‬‫ا‬ ‫ا‬ ‫ه‬(

37. ٣٦
‫ل‬١‫ا‬=١٠٠‫ا‬ ‫ا‬)‫م‬٢= (١٠٠٠٠٢
‫ا‬=١٠٠٠‫آ‬٢=١٠٠٠٠٠٠‫م‬٢
‫د‬=١٠‫د‬٢=١٠٠٢
‫ل‬٢=
=×=×=
=×=×=
)‫ﺡ‬ ‫ذا‬(
)‫وا‬ ‫ا‬ ‫أن‬ ‫ﺡ‬‫ن‬ ‫وی‬‫ﺡ‬ ‫ا‬،‫و‬‫ن‬(
‫ـــــــــــــــــــــــــــــــ‬‫ــــــــــــــــــــــــــــــــــــــــــــــــــــــ‬
‫و‬ ‫ا‬ ‫ح‬ ‫ا‬‫ﺡ‬ ‫ا‬
‫ورة‬ ‫ﺡ‬ ‫ا‬ ‫و‬ ‫ح‬ ‫ا‬
)‫ر‬(
‫ی‬ ‫أآ‬:
(....... =
(....... =
(....... =
(....... =
(.......
(..........

38. ٣٧
‫ا‬ ‫ﺡ‬=‫ة‬ ‫ا‬ ‫ـــــ‬×‫ع‬ ‫ر‬ ‫ا‬
‫ﺏ‬ ‫ا‬ ‫ا‬:
‫ص‬ ‫س‬ ‫ع‬ ‫ص‬ ‫س‬=١٠
،‫وع‬=٦
‫ع‬ ‫ص‬ ‫س‬ ‫ا‬ ‫ﺡ‬ ‫أو‬
‫ا‬ ‫ﺡ‬=‫ة‬ ‫ا‬ ‫ـــــ‬×‫ر‬ ‫ا‬‫ع‬
‫ا‬ ‫ﺡ‬=‫ـــــ‬×١٠×٦=٣٠٢
M
N
N
‫س‬
M
‫س‬
N

39. ٣٨
)‫ر‬(
١(‫ا‬ ‫ت‬ ‫ا‬ ‫آ‬ ‫ﺡ‬ ‫اﺡ‬
=..............=.....................
......................................................................................
=..............=...................
......................................................................................
(
(.
(
(.

40. ٣٩

41. ٤٠
)‫ر‬(
١(‫ی‬ ‫أآ‬:
(............... =×...............
(.............. =
(......... =
(..... =
٢(‫ﺏ‬ ‫ا‬ ‫ا‬:
hhhhhhhh
hhhh==
=
(
(hhhh
٣(‫ﺏ‬ ‫ا‬ ‫ا‬:
hhhh
=,=,=
(hhhhhhhh
(
١٢

42. ٤١
)‫ا‬ ‫ة‬(
=×
‫ﺡ‬‫ا‬=‫ا‬ ‫ل‬ ‫ـــــ‬×‫ا‬ ‫ل‬
N
M<<

43. ٤٢
)‫ر‬(
١(‫أآ‬‫ی‬:
(=×..........
(=!!!!×..........
(.......... =
(=!!!!.......................
(.......... =
(=.......... =
٢(‫ا‬ ‫ﺏ‬ ‫ا‬ ‫ﺏ‬ ‫ا‬ ‫اﺥ‬:
(.......... =
)(
(.......... =
)(
(.......... =
)×+(
(=..........
)<<<<>>>>====(

44. ٤٣
٣(
...................... =
...................... =
٤(
............................ =
............................ =
........... =............ = .............
٥(hhhhcccc=
hhhh‫د‬‫د‬‫د‬‫د‬

45. ٤٤
<<<<<<<<
<<<<<<<<<<<<<<<<
ُ ‫ا‬ ‫ﺡ‬=‫ة‬ ‫ا‬ ‫ل‬×‫ر‬ ‫ا‬‫ع‬
‫ا‬ ‫ﺡ‬=‫ل‬ ‫ـــــ‬‫ا‬‫و‬ ‫ا‬‫ل‬×‫ا‬ ‫ل‬‫ا‬ M<<
N<<

46. ٤٥
)‫ر‬(
١(‫ی‬ ‫أآ‬:
(................................
(=!!!!.............................
(...............
(......... =
(...=
٢(‫ا‬ ‫ﺏ‬ ‫ا‬ ‫ﺏ‬ ‫ا‬ ‫اﺥ‬:
(......... =
)(
(......... =
)(
(...=
)(
(
.)<=>(
٣(
٤(
(
(
(–

47. ٤٦
‫ة‬ ‫ا‬ ‫ا‬=tttt×‫ا‬ ‫ل‬

48. ٤٧
)‫ر‬(
١(‫ی‬ ‫أآ‬:
(......... =))))tttt=@@(
(......... =))))tttt=@@(
(.......... =×..........
(.......... =÷..........
(=tttt×.........
(=tttt×.........
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