الإحتمالات

1. ٧٨
‫א‬‫א‬‫א‬‫א‬

‫א‬‫א‬
٥

2. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٦٤-
‫א‬‫א‬W‫א‬‫א‬ 
 
‫א‬‫א‬W‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬KK 
 
‫א‬‫א‬W‫א‬‫א‬‫א‬W 
•‫א‬
•‫א‬
•‫א‬‫א‬
•‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
•‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K
 
‫א‬‫א‬‫א‬W‫א‬‫א‬٨٠٪K 
 
‫א‬‫א‬:‫א‬

3. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٦٥-
‫א‬ 
 
،‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬K‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬K‫א‬‫א‬
‫א‬‫א‬FermatdePierrePascalBlaise١٦٥٤K
‫א‬GrauntJohn١٦٦٢‫א‬،
‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬K 
١K‫א‬W 
١W‫א‬‫א‬،
‫א‬K 
‫א‬‫א‬
K 
١WW 
}15,12,9,6,3,0,3,6{
}9,7,5,3,1{
}5,4,3,2,1,0{
−−=
=
=
C
B
A
 
‫א‬W 
}05{=A 
}19{=B 
}‫א‬36−15{=C 
٢WS‫א‬
K،‫א‬SW)(ScardK 

4. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٦٦-
٢W‫א‬‫א‬‫א‬١W 
8)(,5)(,6)( === CcardBcardAcard 
٣WAS‫א‬A
SKWSA ⊆WSA ⊄KK 
٣W‫א‬‫א‬W 
}5,2,1{},8,5,3,2,0,1{},8,4,3,2,1,0{},3,2,1{ −=−=== DCBA 
‫א‬A‫א‬B‫א‬C1
CK 
‫א‬D‫א‬CK 
٤W‫א‬‫א‬φ،‫א‬W0)( =φcardK 
٥W‫א‬‫א‬‫א‬BA×AB‫א‬‫א‬),( ba
aAbBK‫א‬‫א‬‫א‬K 
٤W‫א‬‫א‬W 
}1,0{},9,5{},5,2,1,0{ === CBA 
‫א‬W 
1) BA× , 2) CBA ×× 
‫א‬W 
)}1,9,5(),1,5,5(),1,9,2(),1,5,2(),1,9,1(),1,5,1(),1,9,0(),1,5,0(
),0,9,5(),0,5,5(),0,9,2(),0,5,2(),0,9,1(),0,5,1(),0,9,0(),0,5,0{()2
)}9,5(),5,5(),9,2(),5,2(),9,1(),5,1(),9,0(),5,0{()1
=××
=×
CBA
BA
 
١W‫א‬‫א‬ABW 
)()()( BcardAcardBAcard ×=× 
‫א‬‫א‬K 
٥W‫א‬‫א‬W 
16224)()()()(
824)()()(
=××=××=××
=×=×=×
CcardBcardAcardCBAcard
BcardAcardBAcard
 
٢K‫א‬W 
٦WK 

5. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٦٧-
٦WW 
١E‫؟‬ 
٢E‫א‬6,5,4,3,2,1K 
٣E‫א‬‫א‬‫א‬‫؟‬‫א‬‫א‬ 
٤E‫א‬‫א‬‫א‬F‫א‬‫א‬KE 
٥E‫א‬‫א‬K 
٧W‫א‬‫א‬‫א‬KSK 
‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬K 
٧W‫א‬‫א‬‫א‬٦K 
‫א‬W 
١E‫א‬‫א‬W‫א‬،‫א‬K‫א‬‫א‬D
‫א‬‫א‬NKKW},{ DNS =K 
٢E‫א‬‫א‬‫א‬‫א‬W}6,5,4,3,2,1{=SK 
٣E‫א‬‫א‬‫א‬‫א‬‫א‬W‫א‬WL،
WD،WUKW},,{ UDLS =K 
٤E‫א‬‫א‬‫א‬WT‫א‬،WH
KW},{ THS =K 
٥E‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K‫א‬
‫א‬٤W 
{ } { } { }TTTHHTHHTHTHS ,,,,, =×= 
‫א‬‫א‬‫א‬‫א‬W 
}},{},,{},,{{ TTTHHHS = 
‫א‬‫א‬K 
٨W‫א‬K‫א‬‫א‬‫א‬‫א‬K 
٨W‫א‬6,5,4,3,2,1 
‫א‬‫א‬W 

6. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٦٨-
AWW}5,3,1{=A، 
BWW}6,4,2{=B، 
CW4W}6,5{=CK 
٩W414‫א‬W12K‫א‬
‫א‬K 
١E‫א‬K 
٢E‫א‬‫א‬‫א‬‫א‬WAW،‫א‬BW‫א‬
،‫א‬CW،‫א‬DW‫א‬‫א‬‫א‬K 
‫א‬W 
}}2,1{},4,2{},3,2{},4,1{},3,1{{
}},2,1{{}},4,2{},3,2{},4,1{},3,1{{}},4,3{{)2
6)(}}4,3{},4,2{},3,2{},4,1{},3,1{},2,1{{)1
=
===
==
D
CBA
ScardS
 
٩W‫א‬‫א‬‫א‬‫א‬W 
١E‫א‬BA U‫א‬‫א‬‫א‬ABK 
٢EBA I‫א‬‫א‬‫א‬AB‫א‬K 
٣EA‫א‬‫א‬‫א‬‫א‬AK 
WBABA IU =BABA UI =K 
١٠W‫א‬6,5,4,3,2,1 
‫א‬‫א‬‫א‬WAW٣،BW٦،CWK 
1EK 
2E‫א‬‫א‬‫א‬‫א‬WABCK 
3E‫א‬‫א‬‫א‬‫א‬WBA ICA ICB ICBA IIBA UCA U
CB UCBA UUK 
4E‫א‬‫א‬‫א‬‫א‬WABBA UBA IK 
5E‫א‬‫א‬‫א‬4K 

7. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٦٩-
‫א‬W 
φφ ======
=====
====
===
==
{},{}},6{},3,2,1{)4
,},6,5,4,2{,}6,5,4,3,2,1{
}4{},4,2{},6,4{},5,4{)3
},6,4,2{},5,4,3,2,1{},6,5,4{)2
6)(}6,5,4,3,2,1{)1
BABABA
SCBASCBCASBA
CBACBCABA
CBA
ScardS
IU
UUUUU
IIIII 
5EAW4،BW5، 
BA UW36، 
BA IW45K 
 
٣K‫א‬W 
١٠W‫א‬S‫א‬‫א‬
‫א‬K 
،‫א‬‫א‬AW
)(
)(
)(
Scard
Acard
AP =K 
١١W‫א‬‫א‬K 
‫א‬‫א‬W},{ THS =‫א‬‫א‬
K‫א‬‫א‬W 
%50
2
1
)(
})({
})({ ===
Scard
Hcard
HP 
)(HP})({HPK‫א‬‫א‬‫א‬
‫א‬K 
‫א‬‫א‬W 
%50
2
1
)(
})({
})({)( ====
Scard
Tcard
TPTP 
١٢W‫א‬K 
‫א‬‫א‬W{ } { } { }TTTHHTHHTHTHS ,,,,, =×=
‫א‬‫א‬K‫א‬‫א‬W 
%25
4
1
)(
})({
)( ===
Scard
HHcard
HHP

8. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٠-
‫א‬‫א‬‫א‬W 
%50
4
2
)(
}),({
}),({ ===
Scard
THHTcard
THHTP 
‫א‬‫א‬‫א‬W}},{},,{},,{{ TTTHHHS =′‫א‬
‫א‬},{ TH‫א‬‫א‬‫א‬},{ HH
‫א‬K 
١٣W‫א‬١٠K‫א‬‫א‬‫א‬‫א‬ABCK 
‫א‬W 
%50
6
3
)(%,33.83
6
5
)(%,50
6
3
)(
}6,4,2{},5,4,3,2,1{},6,5,4{
6)(}6,5,4,3,2,1{
==≅===
===
==
CPBPAP
CBA
ScardS
 
١١W‫א‬‫א‬‫א‬‫א‬W 
١E‫א‬01K 
٢E‫א‬‫א‬‫א‬F‫א‬‫א‬E1٪100K 
،‫א‬‫א‬‫א‬‫א‬0‫א‬
‫א‬‫א‬‫א‬‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
١٤W‫א‬‫א‬514‫א‬‫א‬
‫א‬W 
‫א‬‫א‬ 5 67 8 9 1011121314
‫א‬ .050.17.08.11.23.06.14.13.03
‫א‬‫א‬W 
1E11‫א‬K 
2E9‫א‬‫א‬K 
3E813K 
4E4‫א‬K 
5E20K 

9. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧١-
‫א‬W 
‫א‬‫א‬W}14,13,12,11,10,9,8,7,6,5{=SKABCD
E‫א‬‫א‬‫א‬‫א‬15‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
011K 
0)({})5
0)({})4
%7513.014.006.023.011.008.0
)13()12()11()10()9()8()(
}13,12,11,10,9,8{)3
%5903.013.014.006.023.0
)14()13()12()11()10()(
}14,13,12,11,10{)2
%6423.011.008.017.000.005.0
)10()9()8()7()6()5()(
}10,9,8,7,6,5{)1
=⇒==
=⇒==
=+++++=
+++++=
=
=++++=
++++=
=
=+++++=
+++++=
=
EPE
DPD
PPPPPPAP
C
PPPPPAP
B
PPPPPPAP
A
φ
φ
 
٤K‫א‬‫א‬ 
١٢W‫א‬‫א‬AB‫א‬B‫א‬‫א‬AF
0)( ≠APKE‫א‬‫א‬‫א‬K 
‫א‬‫א‬WAS‫א‬‫א‬W( )ABPK 
١٥W‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
‫א‬W 
‫א‬W 
AW،‫א‬‫א‬‫א‬BW‫א‬‫א‬‫א‬K‫א‬‫א‬
ABK 
‫א‬‫א‬W},,,{ TTTHHTHHS =W},{ HTHHAS =
}{HTAB =W%50
2
1
)(
)(
)( ===
AScard
ABcard
ABP

10. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٢-
١٦W‫א‬‫א‬5‫א‬‫א‬3
‫א‬‫א‬K‫א‬‫א‬W 
١E‫א‬‫א‬‫א‬K 
٢E‫א‬‫א‬‫א‬K 
٣E‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
٤E‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
‫א‬W 
‫א‬‫א‬W 
AW،‫א‬‫א‬‫א‬BW،‫א‬‫א‬‫א‬CW‫א‬‫א‬‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬١٤‫א‬WABAC
BCK 
١E‫א‬‫א‬W},,,,,,,{ 32154321 BBBRRRRRS =54321 ,,,, RRRRR
‫א‬‫א‬‫א‬321 ,, BBB‫א‬‫א‬‫א‬KW 
0%5.62
8
5
)(},,,,,{ 54321 ≠=== APRRRRRA 
٢E،‫א‬‫א‬W 
0%5.37
8
3
)(},,,{ 321 ≠=== BPBBBB 
٣E‫א‬‫א‬W},,,,,,{ 3215432 BBBRRRRAS =‫א‬‫א‬‫א‬‫א‬
KW},,{ 321 BBBAC =W 
%86.42
7
3
)( ≅=ACPK 
٤E‫א‬‫א‬W},,,,,,{ 3254321 BBRRRRRBS =‫א‬‫א‬‫א‬‫א‬
KW},{ 32 BBBC =W 
%57.28
7
2
)( ≅=BCPK 
 

11. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٣-
٢WSAB‫א‬‫א‬‫א‬W 
)0)((
)(
)(
)()3
)()()()()2
)(1)(),(1)()1
0)(,1)()0
≠=
−+=
−=−=
==
AP
AP
ABP
ABP
BAPBPAPBAP
APAPAPAP
PSP
I
IU
φ
 
١٧W‫א‬‫א‬K 
‫א‬‫א‬W 
1E‫א‬‫א‬K 
2E‫א‬‫א‬‫א‬K 
‫א‬W 
‫א‬‫א‬W 
{ } { } { } { }
{ }
162222)(
,...,,,,
,,,,
=×××=
=
×××=
Scard
TTTTTHHHHTHHHHHTHHHH
THTHTHTHS
 
K 
‫א‬‫א‬‫א‬‫א‬12AB‫א‬K 
%25.6
16
1
)(}{)1 ==⇒= APTTTTA 
٢E‫א‬BWBW‫א‬،‫א‬W 
%75.93
16
1
1)(1)()( =−=−==⇒= APAPBPAB 
‫א‬‫א‬١E‫א‬‫א‬K 
١٨W‫א‬‫א‬‫א‬%70‫א‬‫א‬
%85‫א‬‫א‬%73‫א‬‫א‬
‫؟‬‫א‬ 
‫א‬W 
‫א‬‫א‬K‫א‬K 
‫א‬‫א‬‫א‬WAW‫א‬‫א‬BW‫א‬‫א‬
‫א‬‫א‬BA U‫א‬W

12. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٤-
73.0)(,85.0)(,7.0)( === BAPBPAP I 
‫א‬‫א‬٢E‫א‬‫א‬W 
%8273.085.07.0)()()()( =−+=−+= BAPBPAPBAP IU 
١٩W‫א‬١٥‫א‬‫א‬٣E‫א‬‫א‬K 
‫א‬W 
‫א‬‫א‬W},,,{ TTTHHTHHS =K 
‫א‬W 
AW،‫א‬‫א‬‫א‬BW‫א‬‫א‬‫א‬K‫א‬‫א‬
ABKW 
%50
4
2
2
1
4
1
)(
)(
)(
}{},,{},,{
====
===
AP
BAP
ABP
HTBATTHTBHTHHA
I
I
 
١٣WAB‫א‬‫א‬‫א‬‫א‬
‫א‬،W 
)()()( BPAPBAP ×=I 
‫א‬K 
٣WABK‫א‬‫א‬W 
‫א‬‫א‬W )()()( BPAPBAP ×=I 
‫א‬‫א‬W )()()( ABPAPBAP ×=I 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫؟‬K 
٢٠W‫א‬‫א‬‫א‬‫א‬‫א‬
0.1‫א‬‫א‬‫א‬‫א‬‫א‬0.2K‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬K 
‫א‬W 
‫א‬‫א‬K‫א‬K 

13. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٥-
‫א‬WAW‫א‬‫א‬BW‫א‬‫א‬‫א‬
‫א‬‫א‬BA I‫א‬W 
2.0)(,1.0)( == ABPAP 
‫א‬‫א‬‫א‬W 
%22.01.0)()()( =×=×= ABPAPBAP I 
٢١W‫א‬‫א‬‫א‬‫א‬W 
AW،‫א‬‫א‬‫א‬BW،‫א‬‫א‬‫א‬CW‫א‬
‫א‬‫א‬K‫א‬‫א‬‫א‬‫א‬‫א‬K 
‫א‬W 
‫א‬‫א‬‫א‬AB‫א‬K‫א‬AC
BC‫א‬K 
‫א‬‫א‬W 
{ } { } { }
{ }
8222)(
,,,,,,,
,,,
=××=
=
××=
Scard
TTTTTHTHTTHHHTTHTHHHTHHH
THTHTHS
 
‫א‬‫א‬‫א‬‫א‬W 
%25
8
2
)(},,{
%50
8
4
)(},,,,{
%50
8
4
)(},,,,{
===
===
===
CPTHHHHTC
BPTHTTHHHHTHHHB
APHTTHTHHHTHHHA
 
١E‫א‬ABW 
)()(%50%50%25
8
2
)(},{ BPAPBAPHHTHHHBA ×=×===⇒= II 
ABK 
٢E‫א‬ACW 
)()(%25%50%5.12
8
1
)(}{ CPAPCAPHHTCA ×=×===⇒= II 
ACK 
١E‫א‬BCW 

14. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٦-
)()(%25%50%5.12%25
8
2
)(},{ CPBPCBPTHHHHTCB ×=×=≠==⇒= II 
BCK 
٢٢W‫א‬103K 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W 
١E‫א‬‫א‬ 
٢E‫א‬K 
‫א‬W 
‫א‬‫א‬‫א‬W 
AW،‫א‬‫א‬‫א‬BW‫א‬‫א‬‫א‬K‫א‬‫א‬
BA I 
١E‫א‬‫א‬‫א‬ABKW 
%49
10
7
10
7
)()()( =×=×= BPAPBAP I 
٢E‫א‬‫א‬‫א‬ABKW 
%67.46
9
6
10
7
)()()( ≅×=×= ABPAPBAP I 
 

15. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٧-
 
 
١W‫א‬}6,5,4,3,2,1{KK 
1EK 
2EW 
AW،BW،CWK 
3E‫א‬‫א‬‫א‬2K 
٢W‫א‬‫א‬W}4,3,2,1{=SK‫א‬W 
0)4(,
4
1
)3(,
4
1
)2(,
2
1
)1()4
8
1
)4(,
8
1
)3(,
4
1
)2(,
2
1
)1()3
2
1
)4(,
4
1
)3(,
4
1
)2(,
2
1
)1()2
5
1
)4(,
4
1
)3(,
3
1
)2(,
2
1
)1()1
====
====
=−===
====
PPPP
PPPP
PPPP
PPPP
٣W‫א‬‫א‬‫א‬‫א‬3‫؟‬‫א‬ 
٤W‫א‬‫א‬4‫א‬3
‫א‬5‫؟‬ 
٥W50150K 
‫א‬‫א‬W 
1E‫א‬7K 
2E11K 
3E19K 
٦W5051100K 
‫א‬‫א‬W 
1E‫א‬53K 
2E61K 
3E79K 

16. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٨-
٧WK‫א‬‫א‬W 
1E‫؟‬‫א‬‫א‬ 
2E‫؟‬‫א‬‫א‬‫א‬ 
3E‫؟‬‫א‬‫א‬‫א‬‫א‬ 
٨W‫א‬16KK 
‫א‬‫א‬‫א‬W 
1E6K 
2E‫א‬1K 
3E4K 
 

17. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٧٩-
٥K‫א‬W 
١٤W‫א‬‫א‬
KK 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
٢٣W‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬K 
٢٤W‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬K 
٢٥W‫א‬٤٥W 
4,3,1,5,2,4,4,2,3,1,4,2,5,1,3
,2,4,1,3,2,2,4,4,2,4,4,1,3,4,2
,1,3,4,2,6,2,4,1,2,2,2,5,3,1,2
 
١٥W‫א‬‫א‬‫א‬‫א‬‫א‬K 
٢٦W‫א‬‫א‬K 
١E‫؟‬‫א‬ 
٢E‫א‬‫א‬K 
‫א‬W 
١E‫א‬45K 
٢E‫א‬‫א‬‫א‬W 
‫א‬ ‫א‬‫א‬ ‫א‬‫א‬‫א‬‫א‬
18 8 
214 22 
37 29 
412 41 

18. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٨٠-
53 44 
61 45 
‫א‬ 45  
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬‫א‬‫א‬W 
 
1 2 3 4 5 6
2
4
6
8
10
12
14
 
١٦W‫א‬‫א‬W},,,{ 21 nxxx L‫א‬‫א‬W 
‫א‬W 
n
xxx
x n+++
=
L21
 
‫א‬  
( ) ( ) ( )
1
22
2
2
12
−
−++−+−
=
n
xxxxxx
s nL
 
‫א‬‫א‬‫א‬W 
2
ss = 
‫א‬‫א‬‫א‬‫א‬F‫א‬E‫א‬W 
‫א‬n‫א‬W 
2
1+= nxmed 
‫א‬n‫א‬W 
2
1
22
+
+
=
nn xx
med 
‫א‬‫א‬‫א‬‫א‬‫א‬KWmodeK 
‫א‬‫א‬K 
‫א‬‫א‬‫א‬‫א‬‫א‬K 

19. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٨١-
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬
‫א‬K 
٢٧W‫א‬‫א‬‫א‬‫א‬K 
‫א‬W 
1E‫א‬‫א‬
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W 
8.2
45
)61()53()412()37()214()18(
=
×+×+×+×+×+×
=x 
2E‫א‬‫א‬W 
( ) ( ) ( ) ( ) ( ) ( ) 75.1
145
68.2158.2348.21238.2728.21418.28
222222
2
≅
−
−+−+−+−+−+−
=s 
3E‫א‬‫א‬‫א‬W 
32.175.1 ≅=s 
4E45=n‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W 
323
2
145
2
1 ==== ++ xxxmed n 
5E‫א‬‫א‬‫א‬‫א‬‫א‬W 
2=mode 
W 
‫א‬‫א‬‫א‬‫א‬FWTLfx 82CASIO −WE 
‫א‬‫א‬W‫א‬‫א‬‫א‬‫א‬FSDMODEKE 
‫א‬‫א‬W‫א‬‫א‬‫א‬F=SclSHIFTKE 
‫א‬‫א‬W‫א‬F‫א‬‫א‬DTKE 
‫א‬‫א‬‫א‬W‫א‬FxSHIFTE‫א‬‫א‬‫א‬F1nxσSHIFT −E‫א‬
F‫א‬‫א‬‫א‬KE 
٢٨W‫א‬‫א‬FEW 
81.081.082.080.082.081.082.081.081.080.0 
‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬K 
‫א‬W 

20. ‫א‬ ١١٦‫א‬‫א‬‫א‬
 ‫א‬‫א‬
-٨٢-
‫א‬‫א‬W 
 
‫א‬‫א‬FE ‫א‬‫א‬ ‫א‬‫א‬‫א‬‫א‬ 
0.8022 
0.8157 
0.82310 
‫א‬‫א‬‫א‬‫א‬W 
( ) ( )
cmmode
cmxxxxxxmed
cms
cms
cmx
nn
81.0
81.081.081.0
2
1
2
1
2
1
2
1
007348.0000054.0
054000.0
110
)82.0811.0(3)81.0811.0(5)80.0811.0(2
811.0
10
)82.03()81.05()80.02(
65
1
2
10
2
10
1
22
2
222
2
=
=+=+=
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
+=
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
+=
≅=
≅
−
−+−+−
=
=
×+×+×
=
++
 
 
١W‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W 
1097664 
٢W‫א‬20‫א‬W 
‫א‬‫א‬ 910121314151617181920
‫א‬ 12127217264
‫א‬K 
٣W‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬‫א‬W 
441043 
‫א‬١٠‫א‬K 
٤W‫א‬‫א‬‫א‬‫א‬‫א‬W 111110109115110105K 
‫א‬K 
٥W‫א‬‫א‬‫א‬‫א‬‫א‬