Μαθηματικά Ε΄ 6.39. ΄΄...
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- 6 - 39
..
http://e-taksh.blogspot.gr
: http://e-taksh.blogspot.gr .1
39
:
4
17 +
6
17+
5
17=
15
17
9
14 -
3
14 =
6
14
.
, ( )
,
,
;
, .
, , , , , ... .
, !
.
;
...
= =
2
3
4
5
1
2 + +
+ + 40
60
48
60
30
60
118
60
58
60 = 1
,
.
,
.
, ,
, ,
.
20 12 30
: http://e-taksh.blogspot.gr .2
Xristos
, , , , .
, , . , :
1 : ...
2 : ... .
3 :
...
=
+ + 5
20
12
20
4
20
21
20
1
20 = 1
1 : ...
... ( 4, 5, 10 ) = 20
1
4
3
5 + +
2
10
2 :
... =
3 : , ,
.
... !
/ ...
.
/ ,
,
.. .
. ,
, (4) ...
(20), 5. , .
1
4
5 4 2
: http://e-taksh.blogspot.gr .3
.
( ) .
, , . , ;
... : ( , , 7 19).
, , , .
5
9
2
3 + 1 + 2
,
.
.
5
9
5
3
2
1 + +
,
.
...........................................
,
!
...
,
!
,
!
1 3 9
: http://e-taksh.blogspot.gr .4
: http://e-taksh.blogspot.gr .5
;
.
, .
: http://e-taksh.blogspot.gr .6
;
: I. ... II. ... III. ,
, . : http://e-taksh.blogspot.gr .7
2 + 1 + 5 3 4 6 :
: http://e-taksh.blogspot.gr .8
. ... 3 4 6 2
3 2 3 2 3 1 3 3 1 1 1 ... (3, 4, 6) = 2*2*3 = 12
: http://e-taksh.blogspot.gr .9
. ...
:
12 : 3 = 4 12: 4 = 3 12: 6 = 2
: http://e-taksh.blogspot.gr .10
. ,
2 + 1 + 5 = 2*4 + 1*3 + 5*2 = 8 + 3 + 10 = 3 4 6 3*4 4*3 6*2 12 12 12 : 8+3+10 = 21 = 1 9 12 12 12
4 3 2
: http://e-taksh.blogspot.gr .11
, www.atheo.gr -
11
20
, . . . . ( ), .
.. 61
+ 35
+ 21
=
2 3 6 2 ( 2 , 6 ) 1 3 3 3 ( 3 ) 1 1
... ( 2, 3, 6 ) = 2 3 = 6 , , , 6 . :
21
= 3231
= 63
35
= 2325
= 6
10
61
= 1611
= 61
:
61
+ 35
+ 21
=
63
+ 6
10 +
61
= 6
14 = 2
62
= 231
: . .
, .
.. 2 + 21
= 221
21
+ 2 = 221
( )
: http://e-taksh.blogspot.gr .12
, www.atheo.gr -
12
, :
.. 221
+ 121
= ( 2 + 1 ) + (21
+ 21
) = 3 + 1 = 4
,
.
1. :
61 +
64 =
52 +
54 =
81 +
83 =
73 +
215 =
32 +
61 =
2. :
61 +
62 +
63 =
51 +
21 +
102 =
81 +
42 +
21 =
3. :
2 + 61 = 5 +
52 =
83 + 4 =
215 + 7 = 0,9 +
102 =
4. :
261 + 3
62 = 4
51 + 3
21 = 5
81 + 3
51 =
5.
32
, 121
261
.
;
6. 21
,
52
. 102
.
;
: http://e-taksh.blogspot.gr .13
&
.
: http://e-taksh.blogspot.gr .14
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.
.
.
: http://e-taksh.blogspot.gr .15
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.
.
: http://e-taksh.blogspot.gr .16
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&
,
. .
,
.
: http://e-taksh.blogspot.gr .17
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.
:
(...). (), , , ,
... ( ).
( ) "". , .
: http://e-taksh.blogspot.gr .18
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: http://e-taksh.blogspot.gr .19
http://eclass31.weebly.com/uploads/8/3/3/4/8334101/2692100_orig.png?211
: http://e-taksh.blogspot.gr .20
Xristos
1
2.4 1. : 2. : 1 3. : 4. : 3 5. :
1. ) .. . ) 1 ) . ) . ) 1 . ) .
: http://e-taksh.blogspot.gr .21
2
2. .
) 5 + 1
4 =
21
4 , ) 2
1
3= 2
1
3 , )
5
6
2
6 > 1 ,
) 3
4 +
2
5 > 1 , )
3
4 +
7
4 +
9
4 +
1
4 = 5
)
5 + 1
4 =
5 4
4
+
1
4 =
20
4+
1
4 =
21
4
)
21
3=
2 3
3
1
3=
6
3
1
3=
5
3 =
3 1 2
3
+ =
3 1
3
+
2
3 = 1 +
2
3 = 1
2
3
) 5
6
2
6 =
3
6 =
1
2 < 1
) 3
4 +
2
5 =
3 5
4 5
+
2 4
4 5
=
15
20 +
8
20=
23
20 > 1
) 3
4 +
7
4 +
9
4 +
1
4 =
3 + 7 + 9 + 1
4 =
20
4= 5
3.
21
4< 3
2
5
21
4 = 2 +
1
4=
2 4
4
+
1
4=
8
4+
1
4 =
9
4 =
9 5
4 5
=
45
20
32
5 = 3 +
2
5 =
3 5
5
+
2
5 =
15
5+
2
5=
17
5 =
17 4
5 4
=
68
20
45 < 68 , 45
20<
68
20 2
1
4< 3
2
5
: http://e-taksh.blogspot.gr .22
3
4.
) 1
8 +
6
8 +
2
8 )
2
11 +
5
11+
4
11 )
2
5 +
5
6 )
4
7+
2
14 + 2
) 1
8 +
6
8 +
2
8 =
1 + 6 + 2
8 =
9
8
) 2
11 +
5
11+
4
11 =
2 + 5 + 4
11 =
11
11= 1
) 2
5 +
5
6 =
2 6
5 6
+
5 5
6 5
=
12
30 +
25
30 =
37
30
) 4
7+
2
14 + 2 =
4
7+
1
7 +
14
7 =
4+1+14
7 =
19
7
5. ; 6.
) 7
12
5
12 )
7
12 1 )
7
2
4
12 )
15
