nnn

1. 2005 ‫د‬ 2
‫ا‬ -- ‫ت‬ ‫ا‬ ‫ت‬ ‫ر‬
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4874
- 4804
-73
= 32222
7)480487)(480487( −+−
4874
- 4804
-73
= 322
7)480487)(480487)(480487( −++−
4874
- 4804
-73
= 322
7)480487(9677 −+×
4874
- 4804
-73
= ]7)480487(967[7 222
−+×
4874
- 4804
-73
= k×7
]7)480487(967[ 222
−+=k
7 ‫ا‬ 4874
- 4804
-73
‫د‬‫ادن‬ ]7)480487(967[7 222
−+×
a -c = 2a - 2b 2b = 2a – a + c 2b = a + c
)( ca − )( ca + = 2(a – b) a -c = 2(a – b)
(1) =
+ ca
2
ba
ca
−
−
ba +
1
+
cb +
1
=
cb
cb
ba
ba
−
−
+
−
−
a -b = b - c b+ b = a + c 2b = a + c
ba +
1
+
cb +
1
=
ba
cbba
−
−+−
(2)
ba +
1
+
cb +
1
=
ba
ca
−
−
=
+ ca
2
ba +
1
+
cb +
1
‫أن‬ (2) ‫و‬ (1)
1))(( =+− baba 122
=− ba
1)()( =+− nn
baba ‫ا‬‫ن‬ ‫د‬ 1))(( =+− baba
( )n
n
ba
ba
+=





−
1
‫أي‬ ( )n
n
ba
ba
+=
− )(
1

2. 2005 ‫د‬ 2
‫ا‬ -- ‫ت‬ ‫ا‬ ‫ت‬ ‫ر‬
‫ح‬ ‫آ‬ ‫د‬ ‫ا‬ http://said5109.unblog.fr/
+





−
n
ba
1
n
ba






+
1
= ( )n
ba + +
n
ba






+
1
( x) ( )n
ba + = x
x
x
x
xx
x
x
22
)1(12
2
1 −
=
+−+
=−+
n
ba






+
1
+ 2
1
≥





−
n
ba
‫و‬ 2
1
≥+
x
x 02
1
≥−+
x
x 0
)1( 2
≥
−
x
x
‫ا‬
M’
∈(AB) M∈(BC) BMM’
‫و‬ BAC
AC
MM
BC
BM
BA
MB ′
==
′
(1)
M∈ [BC] ‫و‬ [BAC] ‫او‬ ‫ا‬ ‫ا‬ ‫ا‬ [AM)
MB
AB
MC
AC
= ‫و‬
AC
AB
MC
MB
=
MB
AB
MCMB
ACAB
MC
AC
+
+
==
(2)
BC
MB
ACAB
AB
=
+
‫و‬
MB
AB
BC
ACAB +
=
ACAB
AB
+ AC
MM ′
= ‫ان‬ (2)‫و‬ (1)
ACABACABMM ×=+′ )( ‫و‬
ACAB
ACAB
MM ×
+
=
′
1
ACAB
AB
MM ×
=
′
1
ACAB
AC
×
+
ACMM
11
=
′ AB
1
+

3. 2005 ‫د‬ 2
‫ا‬ -- ‫ت‬ ‫ا‬ ‫ت‬ ‫ر‬
‫ح‬ ‫آ‬ ‫د‬ ‫ا‬ http://said5109.unblog.fr/
‫ة‬ ‫ا‬ ‫رس‬ ‫ه‬ A ‫او‬ ‫ا‬ ‫و‬ ABC
222
ACABBC +=
22
2ABBC = ‫ادن‬ AB = AC ‫ادن‬ A ‫ا‬ ‫وي‬ ABC
22
2)( ABADAB =+ ‫ادن‬ BC =BD = AB+AD
22
)(2)2( BEAEBEAE +=+ ‫ادن‬ AD = AE ‫و‬ AB = AE+BE
)2(244 2222
BEBEAEAEBEBEAEAE +×+=+×+
2222
24244 BEBEAEAEBEBEAEAE +×+=+×+
2222
224 BEAEBEAE +=+
2222
224 BEBEAEAE −=−
22
2 BEAE =
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