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7/25/2019 Synoptiki Theoria B Gymnasiou
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-6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5
1.
2.
3.
4. 1 ;
, ,
, .
1. 3x + x = x .
2. , .
3. 0x= 0 .
4. , .
5. 8x= 0 .
6. -5 > 15, > -3
7. .
8. 2 2 2x 1x .
9. (+)= + , ,,
10. .
(1-5)
(-),
.
1. x > 3
2. x 2
7/25/2019 Synoptiki Theoria B Gymnasiou
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-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
3. 0x 2
4. 3 x
5. x
7/25/2019 Synoptiki Theoria B Gymnasiou
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5
. :
2 ( 1) 7 3 3 ( 2) 9x x x 1 2 3 1
2 6 12
x x
. :
3 4 ( 2) 10 2 (1 ) 7x x x
()
(); .
5.
. :
3 1 6 4
2 7
x xx
. :
6. (1) (2):
2 2 1 2 1
2 3 2 2 1 , (2)3 2 6
x x xx x x
. (1) .
. (2) .
. .
7.
. :
2 1 4 3
5 2
x xx
. :
2( 1) 4 1x x .
8.
. (1) (2):
3 1 6 2 2 3 12 (1)x x x 6 2 1 5 2 (2)x x
. (1) (2) .
4 2 5 4
5 3
x x
7/25/2019 Synoptiki Theoria B Gymnasiou
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6
9.
. N :
5 4 3 3 1 13 5x x x x (1) 3 5 1 2
16 4 8
x x x (2)
. N (1) (2)
10.
. :
3 1 2 10 5x x x 8
03
xx
. .
11.
:
2( 3) 4( 2) 8( 1)x x x 32x
2 3 54 12
12.
. 8-2(3x-1) 4(x-5)
. 3 (x 1) 2x 1
x4 3
. -2, -1, 2, 3,
. .
7/25/2019 Synoptiki Theoria B Gymnasiou
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7
1
1
, ,
, .
1. 5x -x = x .
2. 0x = 2 .
3. 8x= 0 .
4. -3 > 12, < -4
5. 2 2 2x
1x
.
2
:
3 2 5 1
4 3 6
x xx
.
3
. :
4(3 1) (5 2 ) 2x x (1) 3( 2) 2 9
5 10 2
x x xx
(2)
. (1) (2).
. , , < < ,
:
2( ) 3( ) ( 8 )A
.
7/25/2019 Synoptiki Theoria B Gymnasiou
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8
2
1
, , , .
1. 5x -x = 4x .
2. 0x = 0 .
3. 8x = 8 1.
4. 3 > -12, < -4
5. 2x=0 0.
2
4 3 2 ( 1) 2( 1)x x x x 2 4 3 1 4 1
6 3 3
x x x
3
. :
3 2 2 3 1K x x
. 4 5K x
. K 1x
. . :
100
2 3
x x
. ().
7/25/2019 Synoptiki Theoria B Gymnasiou
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7/25/2019 Synoptiki Theoria B Gymnasiou
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10
5
10E
3
1 = 35
2= 12
1.
.
2. ;
.
3. =8 , =13 , =9 .
4. , ,
.
, ,
, .
1. .
2. = 5 , = 8 = 3 .
3. =8 =15
=17.
4. =50
5. ,
3= 23
6.
,
, , .
. ()2= ()
2+ ()
2. ()
2= ()2()2
. ()2= ()2+ ()2
7/25/2019 Synoptiki Theoria B Gymnasiou
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. ()2= ()2()2
1.
0 90 , 0 30 2 3 .
5 11 ( cm )
. 2 4
. .
; .
.
.
2.
=10cm, =17cm =15cm.
. .
. .
3.
7/25/2019 Synoptiki Theoria B Gymnasiou
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12
= 10cm, = 8 cm = 45.
45
y
x
8 cm
10 cm
. x .
. y .
. .
4.
, =14 ,
=13 , =5. :
.
. . .
5.
: ==5m, =7m
=13m.
14 cm
5 cm
13 cm
7/25/2019 Synoptiki Theoria B Gymnasiou
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13
. x .
. .
7/25/2019 Synoptiki Theoria B Gymnasiou
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14
1
1
. =900
.
, :
.2=+.. . 2=- . 2=-
2
A. =x+2, =3x-2 =2x ,
xx=4.
B. (//) ,
=6 , =10
.
3
: ==5m, =7m
=13m.
. x .
. .
7/25/2019 Synoptiki Theoria B Gymnasiou
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