Mathimata Prosanatolismou G Lykeioy New 2
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Transcript of Mathimata Prosanatolismou G Lykeioy New 2
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1
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(. , . .
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: 2015-2016
, 1 -
2
1 : -5
2 : .10
3 : .16
4 : - ....24
5 : ...............................................................................30
6 : - ( 1)....................................36
( 1-6)...............................................................40
7 : .............................................................................43
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8 : ..............................................................................49
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9 : 11......................................................................................52
10 : ........................................................................58
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11 : 2- ...............75
( 7-11)....................................86
.........................................88
2-
1-
, 1 -
3
12 : 0x .................................................................91
13 : .......................................................................................101
14 : 0x ........................................................123
15 : .................................................................135
16 : 3...................................................................152
........................................................................................154
3........................................156
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2. 2 1 : 2 3 5 3
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1x
2x 113
x
2 2x 3 8x
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xf xx
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x x
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f :
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2. :
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4 3xg x
x x
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ln 2 2g x
x x x
3. :
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ln( 2 1)4 4xg x
x xx x
4. :
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x xf x x
x
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( ) , 1 02, 1
x xg x x x
x x
5. :
1( ) 1 1 ln ( ) ln1
xx
x
ef x e x g xe
6. :
21( ) + ( ) 2
2 1 1xxf x g x x
x x
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2
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8. ,
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15
) 2( ) ln 1f x x x ) 2( ) 2 3g x x x
9. :
11( ) 3 log , ( ) ln (2)10
f x x a g x f f x f
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ii) N g .
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fC , f , ,
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M(x, f (x)),
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fC
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10).
f(x) = x +
f(x) = x 2 , 0 .
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f(x) = x 3 , 0 .
af xx
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( )f x x ( )g x x .
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19
, 0
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x xg x
x x
,
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yy.
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, f (x) = x f (x) = x
T = 2, f (x) = x = .
f(x) = x, 0 < 1 .
:
, 1 -
20
1 x y x ya a a
x x ya a 2 x x
xa
3 yx xya a
4 x x ya a
5 0 1a
