Λύσεις ΕΠΑΛ 2016 με...
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19 05 16
11:10
lisari team
SITE
http://lisari.blogspot.gr
2016
http://lisari.blogspot.gr/
lisari team
http://lisari.blogspot.gr/2014/10/blog-post_13.html
2 : 19 05 2016 ( )
blog
http://lisari.blogspot.gr
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lisari tea
19 05 2016
mailto:lisari.blogspot@gmail.com
lisari team
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http://lisari.blogspot.gr
19 05 2016
2016: lisari team 1
lisari team / 2015 16
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1. ,
f x h f x x h x h
h 0 ,
f x h f x h1
h h
,
h 0 h 0
f x h f xlim lim1 1
h
,
x 1
2. ()
.
3. ) ) ) ) )
http://lisari.blogspot.gr/
http://lisari.blogspot.gr
19 05 2016
2016: lisari team 2
1.
2 2 1 9 5 4 3 3f % 10 f 0,1 3 3v f v 0,1 20 2
5 1 v 5 .
4 1 2 3 5 v v v v v 20 5 4 2 5 4
i 1 2 iN v v ... v 1 1N v 5 , 3N 11 , 4N 15 5N 20
iiv
fv
1f 0,25 , 2f 0,20 , 3f 0,10 , 4f 0,20
5f 0,25 1f % 25 , 2f % 20 , 3f % 10 , 4f % 20 5f % 25
xi
i
i
fi%
xii
0 5 5 25 0
1 4 9 20 4
2 2 11 10 4
3 4 15 20 12
4 5 20 25 20
20 100 40
B2.
1 1 2 2 3 3 4 4x x x x 40x 220
3. 3
4 15
4. 2
3 4 5f % f % f % 10% 20% 25% 55%
1. 2
x 1f x
2x 1
xR
http://lisari.blogspot.gr/
http://lisari.blogspot.gr
19 05 2016
2016: lisari team 3
xR :
2 2
2 2 22
2
22
2 2
22
2
22
x x 1 x 1 xx 1 x 1f x
2 2x 1 x 1 x 1
x 1 2x x
x 1
x 1 2x
x 1
1 x
x 1
2. f 1x 1
2
2 22
1 1 1 1 0f 1 0
41 11 1
f 2x 1
2
2 22
1 1 1 1 0f 1 0
41 11 1
3.
22 2
22
1 xf x 0 0 1 x 0 x 1 x 1 x 1
x 1
f x 21 x 2
2x 1 0
xR
x 1 1
f x
f > < >
f 1 , 1 3 1, ,
2 1,1 .
f 1x 1
2
1 1 1 1f 1 0
2 2 21 1
http://lisari.blogspot.gr/
http://lisari.blogspot.gr
19 05 2016
2016: lisari team 4
f 2x 1
2
1 1 1 1f 1 1
2 2 21 1
4. 2015 2016 3 1, f
. :
f :
2015 2016 f 2015 f 2016 >
1.
2
x 4
x 6x 8lim
x 4
(1)
:
2
x 4 x 4 x 4
x 4 x 2x 6x 8lim lim lim x 2 4 2 2
x 4 x 4
2x 6x 8 orner
1 6 8 4
4 8
1 2 0
(1)
2
2. 2 f
2f x x 2x 3
f :
2 2f x x 2x 3 f x x 2x 3 f x 2x 2
3. y x
f .
http://lisari.blogspot.gr/
http://lisari.blogspot.gr
19 05 2016
2016: lisari team 5
f 2
2
f 2 2 2 2 3 f 2 4 4 3 f 2 3
2,f 2 2, 3
,
f 2 2 2 2 2
y x x,y 2
:
3 2 2 3 4 7
y 2x 7
4. A
1 2 3 4 5, , , ,
y 2x 7
:
1 1y 2x 7 (1)
2 2y 2x 7 (2)
3 3y 2x 7 (3)
4 4y 2x 7 (4)
5 5y 2x 7 (5)
H 1 2 3 4 5x , x , x , x , x
1 2 3 4 5x x x x xx5
x 2 :
1 2 3 4 5
1 2 3 4 5
x x x x x2 x x x x x 10
5
http://lisari.blogspot.gr/
http://lisari.blogspot.gr
19 05 2016
2016: lisari team 6
H 1 2 3 4 5y , y , y , y , y
1 2 3 4 5y y y y yy5
(1),(2),(3),(4),(5)
1 2 3 4 5
1 2 3 4 5
2x 7 2x 7 2x 7 2x 7 2x 7y
5
2 x x x x x 35
5
2 10 35
5
11
x c
y x
c,
y c x
x c
y x c,
y c x
1 2 3 4 5x ,x ,x ,x ,x 3 7
:
y 2x 7 y 2 2 7 y 11
http://lisari.blogspot.gr/
1. Eksofullo2. - . 23. - 4. - A