Thalis G Gymnasiou.pdf
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Transcript of Thalis G Gymnasiou.pdf
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GREEK MATHEMATICAL SOCIETY 34, Panepistimiou ( leftheriou Venizelou) Street
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e-mail : [email protected]
67
, 9 2006
1. x
2. 2 02
+ + = =10,
:
2 2 2( ) ( 2 )2
= + +
3. p , 27p + 1 .
4. , ,
1 13 103.2 3
a a
+ =
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( ) 34
106 79 . 210 3616532 - 2103617784 - Fax: 210 3641025
e-mail : [email protected]
GREEK MATHEMATICAL SOCIETY 34, Panepistimiou ( leftheriou Venizelou) Street
GR. 106 79 - Athens - HELLASTel. 210 3616532 - 2103617784 - Fax: 210 3641025
e-mail : [email protected]
68
, 24 2007
1 :
( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )8 2 2 42 : 4 4 : 2 , B 3 3 4 2 3 . x y x y y x = + = + x : > .
2
= 40 = .
.
() x ,() = .
3() , ,
{ }0,1,4,5,6,9 = .() A aaabb= , ,a b
0a , , 9.
4
= 30 = . .() = .()
= .() .
E
x
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( ) 34
106 79 . 210 3616532 - 2103617784 - Fax: 210 3641025
e-mail : [email protected]
GREEK MATHEMATICAL SOCIETY 34, Panepistimiou ( leftheriou Venizelou) Street
GR. 106 79 - Athens - HELLASTel. 210 3616532 - 2103617784 - Fax: 210 3641025
e-mail : [email protected]
70
, 21 2009
1
, - :2 1 3( 1) ( 1)
A 4 ( 1) 2 75 5
v v
v
+ = + .
5 2 O 5 2. - .
5
3
1 2, , . 1
4, 2
( ) : 2 y x = (0,6).( ) .() , - y , 1 2,
2 x
x . 5
4 1 2 3, ,r r r 1 2 30 r r r < < < . 1 -
1 2,r r , 2 -
2 3,r r .
2 1 3 2r r r r = 3 13r r = , ( )( )
1
2
, ( )1 ( )2
1 2 , .
5
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71
, 30 2010
1. ( )23 2 x y+ = 6 44 6
3 35 5
y w
=
, :
7 10 3 87 x y w = + .
2. , :( ) 4,() ,() 5 ,( )
1.
3. . 0 120 = x y , , . , 0 120 = 0 60 = 2 3 , :
. . . . . .
4. .
2 1
( ),C , , . 2 .( , C )
) .
( , , ( ), C .( ),C
. ( ) ( )1 2
, , 1 2 ( )
( )1
2
135
.
. x ( ),C x ( ), , .
5
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( ) 34
106 79 . 3616532 - 3617784 - Fax: 3641025
e-mail : [email protected]
GREEK MATHEMATICAL SOCIETY 34, Panepistimiou ( leftheriou Venizelou) Street
GR. 106 79 - Athens - HELLASTel. 3616532 - 3617784 - Fax: 3641025
e-mail : [email protected]
72
19 2011
1 , :1 3 710 :10 510 :10 110 1000
2
6
2 :
35 222 2 4 4 8
x x x x 9
x .
3 Oxy
3 1 2 y x , , , 2 y x 2,8 .( ) .
() 4, 4 1, 2 .
4 . ,C , , .()
1
,C .()
2
C , .
() 12
43
. ( 3,1415 ).
5 : 3 !
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( ) 34
106 79 . 3616532 - 3617784 - Fax: 3641025
e-mail : [email protected]
GREEK MATHEMATICAL SOCIETY 34, Panepistimiou ( leftheriou Venizelou) Street
GR. 106 79 - Athens - HELLASTel. 3616532 - 3617784 - Fax: 3641025
e-mail : [email protected]
73
20 2012
1
( )2 4 6 182
10 8 612 3 2 3
2
, 2 , 4 , 83 13 2 3 4 9
x y z x y z
= = = = +
,
.
2 3 -3
( ) ( )4 5 2 3 2 1 x x + < + .
3
1
12
( ), ( ), , 0 < < , = :
32 32 2
4
=
.
4 = cm < . . 2 = , :
(i) .(ii)
.
5 : 3 !
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8/10/2019 Thalis G Gymnasiou.pdf
8/8
( ) 34
106 79 . 3616532 - 3617784 - Fax: 3641025
e-mail : [email protected]
GREEK MATHEMATICAL SOCIETY 34, Panepistimiou ( leftheriou Venizelou) Street
GR. 106 79 - Athens - HELLASTel. 3616532 - 3617784 - Fax: 3641025
e-mail : [email protected]
74
19 2013
1 5 , :
3 3 4,6 2 0, 2 .
2
4 1 2 5 , x :
32 1 12
x x x
.
3
O 2, 6 . , .( ) . () , .() .
4 ( , )c R ( R )
, 10
30
. . , ( , )c R .
( )
.() .
5 : 3 !
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