Mathimatika b Gymnasiou Tefchos b
133
ΜΑΘΗΜΑΤΙΚΑ B΄ Γυµνασίου B΄ Tεύχος ΠΑΙ∆ΑΓΩΓΙΚΟ ΙΝΣΤΙΤΟΥΤΟ ΥΠΗΡΕΣΙΑ ΑΝΑΠΤΥΞΗΣ ΠΡΟΓΡΑΜΜΑΤΩΝ YΠΟΥΡΓΕΙΟ ΠΑΙ∆ΕΙΑΣ ΚΑΙ ΠΟΛΙΤΙΣΜΟΥ
description
Διδακτικό εγχειρίδιο Γυμνασίου
Transcript of Mathimatika b Gymnasiou Tefchos b
ΜΑΘΗΜΑΤΙΚΑB΄ Γυµνασίου B΄ Tεύχος
ΠΑΙ∆ΑΓΩΓΙΚΟ ΙΝΣΤΙΤΟΥΤΟΥΠΗΡΕΣΙΑ ΑΝΑΠΤΥΞΗΣ ΠΡΟΓΡΑΜΜΑΤΩΝ
YΠΟΥΡΓΕΙΟ ΠΑΙ∆ΕΙΑΣ ΚΑΙ ΠΟΛΙΤΙΣΜΟΥ
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1 10
4 2004
Carly Patterson, USA 9,80 9,75 9,80 9,75 9,75 9,80 Alexandra Eremia, ROM 9,70 9,70 9,70 9,70 9,65 9,70 Catalina Ponor, ROM 9,80 9,80 9,80 9,75 9,75 9,80
106
7: -
21
=
12, 15, 16, 19
= 12 + 15 + 16 + 194 = 624 = 15,5
107
7: -
–
12, 14, 15, 18 , 19 15 12, 14, 14, 18 , 19, 20 = 16
36, 37, 37, 38, 40, 40, 39, 36, 37, 38, 37, 39, 39, 40, 40
37 40
( ). , 37 40.
11
79 84 63 95 89 71 90 81 77 54 75
=
= = = 78
78.
- -
-
--
108
7: -
54 , 63, 71, 75, 77 , 79, 81, 84, 89, 90, 95
(11). ,
( ), 79.
, ,
1 7.
20 ,
10 11 . 10 11 2 2. , 2 .
0, 0, 1, 1 ,1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 5, 6
= 2
109
7: -
0, 1, 2, 2, 3, 3, 5, 6, 6, 6, 7 7
0, 1, 1, 2, 2, 2, 3, 4, 5 2
15 15 15 12 9 5 11 15 16 15 16 16 14 12 13 11
: 17, 16, 15
110
7: -
16 22, 24, 23, 25, 24, 22, 21, 20, 21, 22, 19, 21, 23, 22, 22, 20
3, 4, 5, 6, 11
95 93 91 95 100 99 92
6, 2, 5, 4, 3, 4, 1 2, 3, 7, 3, 8, 3, 2 3, 1, 2, 1, 3, 2, 2 4, 3, 4, 3, 4, 6, 4 8 172, 175, 183, 177, 190, 193, 189, 195.
172 .
197 . 195 198 .
111
7: -
10 7 9 5 13 10 7 14 8 11
9,5
15
15 14,5 15 14
0
1
2
3
4
5
1 2 14 15 16 17 18 20
112
7: -
B Insert
-
---
113
7: -
1. :
TIMSS
«B_En7_DATA » TIMSS
2. :
tt .mo . o . y ystat
1 2 11 3 12 4 12 5 14 6 17 7 15 8 14 9 13 10 14 11 10
-
13,2 14
13,5
114
7: -
–
( ) = ( )( ) = 36 = 12
…
( ) = = ( )( )
, = {2, 4, 6}
, 50%.
1
, :N , ( = {1, 2, 3, 4, 5, 6} )
( ) = = 1
0
, :N , ( = ) ( ) = = 0
( ) .
115
7: -
1 2
= { , , , }
, , … , …
( ) = 2 2 = 4
1 111111
116
7: -
. ,
, , , , , ,
. . . . . . .
, ,
3 + 3 + 3 + 3 + 3 + 3 = 18
= 18 .
117
7: -
6
.
, 36 .
1 2 3 4 5 6 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) ( ) = 36 ( ) = 6 6 ( )
(6 2 )
:
(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)
( ) = 6. ( ) = ( )( ) = 636 = 16
:
6
(1,6), (2,6), (3,6), (4,6), (5,6), (6,6) (6,1), (6,2), (6,3), (6,4), (6,5). ( ) = 11
( ) = ( )( ) = 1136
118
7: -
.
= { , , , }
( ) = =
( ) = =
. . ,
.
119
7: -
1.
2.
3. 6
4. , , 4
5. 2 7 9 1
120
7: -
6.
1 2 3 4 5 6 1 2 3 4 5 6
7.
5 7
8.
9. 2, 5, 8 : 3 : 2 :
121
7: -
2000 2007
6,45 6,60 6,85 6,99 7,97 8,77 9,82 10,21
2000 2007
15° 17° 20° 21° 19° 15° 15° 15° 10° 9°
8° 10° 14° 13° 15° 8° 11° 14° 17° 20°
122
7: -
17
17
55 0 13 4 5
8 5
4 5 2, 4, 6 8
0
1
2
3
4
5
10 11 13 14 15 16 17 18 19
123
7: -
6 5
4 :
6
7 7,5 8
2 6 5 8 4 7 5 9 2 10
124
7: -
5 15 15 13 15
1000
50 100 75 60 75 1000 90 100
18 1 2 34 5
;
: : : : :
125
7: -
1.
2.
3.
4. 0, 2, 4, 6, 8, 10 1, 3, 5, 7, 9,11
: : 8 : : 0 :
17, 18, 18, 16, 1, 15, 15, 17, 18, 15, 20, 14, 17, 2, 17 17, 18, 17, 17, 15, 17, 17, 17, 20, 17, 17, 20, 17, 17, 17
126
7: -
5. ( ) ( ).
6.
{ } =
{1,2,3,4, . . . }
{0,1,2,3,4, . . . }
{0, ±1, ±2, ±3, ±4, . . . }
{1,2,3,4, . . . } { 1, 2, 3, 4, . . . }
{ / : ,
/
o
=
·
Ans
^
SHIFT 2nd F
AC
DEL
Abs
(-)
a b/c 23
S D a b/c
CLR
M+
M-
M
3 + 4 3+4 7 2,34 – 1,1 2.34 – 1.1 1.243 2 3 2 6 2 2 2 32 5 10 5 3 5 103 5000
3 4 2
2
2 3 4 4 4 2 5 5 25 2 (7 3) 2 (7 3) 8 2 (7 3) 2 8 2 ( 3) 2 ( 3) 5 | 3| | 3| 3 0,25
9 6 2
9 – 6 2 + 6
3 (9 6: 2) 6: (9 6: 2) 3 – 6 17
+ = 3 4
· – 2 3 4 1 · 1 =
3 x 2 =
2 5 =
5 P 3 =
3 a b/c 4 =
3 a b/c 4 =
SHIFT 23 2 3 4 =
2 a b/c 3 a b/c 4 =
4 =
5 X² =
= 3 – 7 ( x 2 )
x 2 = 3 – = 7 Ans
2 ( (-) 3 ) =–
= 3 (-) Abs
S D
a b/c SHIFT
= 2 ÷ 6 – 9
3 – 6 ÷ =
