prepat1oct58 (final ver.)
DESCRIPTION
Dek59TRANSCRIPT
71 PRE-PAT1
31 2558 13:00 – 16:00 .
1
BY MATHTiME
(PAT 1) 1/2559
71
45 3 (180 )
1. PAT 1
2. 1 2558
( 31 2558 13:00 – 16:00 .)
3. 40 45 2
1: 30 6 180
2: 15 8 120
300
4. 3
5. 4 2 0007.00
6. Test Blueprint .
7.
( )
8. MATHTiME Ty Pongsatorn Pipat
Lewongopas
71 PRE-PAT1
31 2558 13:00 – 16:00 .
2
BY MATHTiME
1: 30 6 180
1. , , ,
[ ( )] ( ) ~ (~ )
1) ~ (~ ) ~
2) ( )
3) ~ ( ) ~
4) ( )
71 PRE-PAT1
31 2558 13:00 – 16:00 .
3
BY MATHTiME
2. , , , , ,
. )
( ) ( )
. )
( ) ( )
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
4
BY MATHTiME
3.
|2 1| < | 7| < 3 13 + 34
1) 8 ,116
2) 7 ,136
3) 6 ,176
4) 5 ,196
4. ° ° ° °° ° °
1) 12
2) 23
3) 34
4) 45
71 PRE-PAT1
31 2558 13:00 – 16:00 .
5
BY MATHTiME
5. 2 + 2 = 2 <
12
+ 9
1) 45 2) 40 3) 35 4) 30
6. 100 12
. ) 4
. ) 4
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
6
BY MATHTiME
7. (2,7) , ( 1,2) ( 6,5)
+ + + + = 0
. ) + + = 15
. ) ( 3) + ( + 4) = 24
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
7
BY MATHTiME
8. 9 7 28 + 35 = 0
(3,4)
1) 12
2) 34
3) 78
4) 1516
71 PRE-PAT1
31 2558 13:00 – 16:00 .
8
BY MATHTiME
9. + 2 + + 4 + 1 = 0 < 0
2 4
(7,4) 2: 3
1) 2 + 9 = 0
2) 2 + 2 = 0
3) 2 3 4 = 0
4) 3 + 2 + 7 = 0
71 PRE-PAT1
31 2558 13:00 – 16:00 .
9
BY MATHTiME
10. , = 3 2 = 3 +
1) (1,2) 2) (2,3) 3) (3,4) 4) (4,5)
11. 8 + 7 + 2 = 0 2 2
1 3 tan( + )
1) 7 2) 7
5 3) 5 4)
55
71 PRE-PAT1
31 2558 13:00 – 16:00 .
10
BY MATHTiME
12. 2 3
2 1 0.45
4
1) 5
13 2)
2126
3) 51
130 4)
284455
13. 4 36
3
. ) . ) 11 | +
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
11
BY MATHTiME
14. 2 × 2 = 12 1
= 2 × 2 ,
. ) = 6
. ) det( + ) 20
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
12
BY MATHTiME
15. = + = +
( + ) = ( + ) ( )
. ) | + | =14
. ) | + | 14
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
13
BY MATHTiME
16.
( + )( ) = + 5 4
( ) < ( )
( ) ( )
. ) ( ) > ( )
. ) + +
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
14
BY MATHTiME
17. = ( + 3 + 1) 1
lim+ 2 + 3 +
1 + 2 + 3 +=
1) 6 2) 12 3) 24 4) 48
18.
( ) = lim1
1 = 1,2,3, …
(1)(1) +
(2)(2) +
(3)(3)
1) 12
2) 1 3) 32
4) 2
71 PRE-PAT1
31 2558 13:00 – 16:00 .
15
BY MATHTiME
19. ( ) = + + ( ) = + + > 0 ( ) (1) = 7
= ( ) ( , )
1. ) 9 + 14 + 5 = 0
2. ) 9 14 33 = 0
3. ) 9 + 4 + 21 = 0
4. ) 9 4 3 = 0
71 PRE-PAT1
31 2558 13:00 – 16:00 .
16
BY MATHTiME
20. = + 7
3 + 15 , 2 + 3 20 , + 2 16 , , 0 , 0
( , ) 48
. ) 2 + = 16
. ) 20
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
17
BY MATHTiME
21. 2,559
1 , 1 , 2 , 1 , 1 , 2 , 3 , 2 , 1 , 1 , 2 , 3 , 4 , 3 , 2 , 1 , …
. ) 42
. ) 1 7
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
18
BY MATHTiME
22. 6
12 , 23 , 24 , 25 27
3 14
3
1. ) 0
2. ) 12
3. ) 1
4. ) 32
71 PRE-PAT1
31 2558 13:00 – 16:00 .
19
BY MATHTiME
23. 50 15
41.2 57.7 708
40.5 60.2
( ) 0
0.66 0.77 0.88 0.95 1.02
0.2454 0.2794 0.3106 0.3289 0.3461
1) 768
2) 810
3) 826
4) 864
71 PRE-PAT1
31 2558 13:00 – 16:00 .
20
BY MATHTiME
24. 6
= 24 , = 90 , = 141 , y = 270 , = 450
. )
= 24
. ) = 10 = = = 3
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
21
BY MATHTiME
25. 2 × 2
. ) det( ) 0
= ( )
. ) =×
=
+ = +
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
22
BY MATHTiME
26. ( ) = + 1 ( ) = 2 1
, , ( )( ) = 0
1( + c) +
1( + ) +
1( + )
1) 74
2) 34
3) 34
4) 74
71 PRE-PAT1
31 2558 13:00 – 16:00 .
23
BY MATHTiME
27.
log 2 log23
. ) = 8
. ) 5
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
24
BY MATHTiME
28. { } { }
= = = = 2 1
= 3
1) 4
2) 4
3) 5
4) 5
71 PRE-PAT1
31 2558 13:00 – 16:00 .
25
BY MATHTiME
29. , , , , {0 , 1 , 2 , … , 9}
(1) + =
(2) 2 = 2
(3) =
(4) = + +
. ) + + + +
. ) + + + +
1) . . 2) . .
3) . . 4) . .
71 PRE-PAT1
31 2558 13:00 – 16:00 .
26
BY MATHTiME
30. 8 ( 7)
/ 0 1 2 3 4 5 6 7
1 1 2 3 4 5 6 7
2 8 9 10 11
…
1,2,3, … 1
(1) 1 1 1
(2) ( )
= 2,3,4, … ( ) 8
2016 2559
+ + +
1) 709 2) 711 3) 713 4) 715
71 PRE-PAT1
31 2558 13:00 – 16:00 .
27
BY MATHTiME
2: 15 8 120
31. , ,
27 9 11 48
( ) = ( ) ( ) = ( )
( ) ( )
71 PRE-PAT1
31 2558 13:00 – 16:00 .
28
BY MATHTiME
32. 3 sin 2 sin 2 2 cos 2 = 2
= { 2 | }
33. { }
= 1 + = 1,2,3, …
lim
71 PRE-PAT1
31 2558 13:00 – 16:00 .
29
BY MATHTiME
34. > 0
(1) , , 12
(2) 4 , ,
(3) 1 , 1 , 1
71 PRE-PAT1
31 2558 13:00 – 16:00 .
30
BY MATHTiME
35. 3 × 3 ( ) =2 31 3 1
4
|det( )| 15
= 2
36.
2 log =3
22 log log = 2 + 2 log
= { + | ( , ) }
71 PRE-PAT1
31 2558 13:00 – 16:00 .
31
BY MATHTiME
37. 10
23.57% 26.43%
8 466.70
8.1
10
( ) 0
0.34 0.63 0.66 0.72 1.35
0.1331 0.2357 0.2454 0.2643 0.4115
71 PRE-PAT1
31 2558 13:00 – 16:00 .
32
BY MATHTiME
38.
( ) =
1 + ( + 1) +| + 1| ; 1
+ ; 2
( )
+ 5 + 1 ; > 2
[ 2 , 3] | + |
71 PRE-PAT1
31 2558 13:00 – 16:00 .
33
BY MATHTiME
39. { } { }
= 1 + 2 + 3 + + ( + 1) = 2
+ + +
40. ( ) = 0
= { | 5 ( ) + ( ) 6 ( ) = 0 }
(12 1)
71 PRE-PAT1
31 2558 13:00 – 16:00 .
34
BY MATHTiME
41. ( )
2 (2 ) = 8
(0) = (0) = 0 ( ) ( 2)
42.
| + 2| 3 1 + 3 | + 2| 3 7
20 16
71 PRE-PAT1
31 2558 13:00 – 16:00 .
35
BY MATHTiME
43. , 1 , 2 , 3
1
+
44. | |
| || | +
= 2 | | ( ) + ( )
( ) ( )
71 PRE-PAT1
31 2558 13:00 – 16:00 .
36
BY MATHTiME
45. , ,
= { | ( ) + 125 = + 2 }
= { | ( + ) + < 0 }
= { + | ( , ) }
71 PRE-PAT1
31 2558 13:00 – 16:00 .
37
BY MATHTiME
PRE-PAT 1
1: 30 6 180
:
: )
1 2 3 4 1 2 3 4
1 16
2 17
3 18
4 19
5 20
6 21
7 22
8 23
9 24
10 25
11 26
12 27
13 28
14 29
15 30
71 PRE-PAT1
31 2558 13:00 – 16:00 .
38
BY MATHTiME
PRE-PAT 1
2: 15 8 120
: 6 4 2
7 0007.00 / 34.5 0034.50 )
: )
( 4 2 )
x x x x . x x
31 .
32 .
33 .
34 .
35 .
36 .
37 .
38 .
39 .
40 .
41 .
42 .
43 .
44 .
45 .
2
1 2
_____ / 180 _____ / 120 _____ / 300
71 PRE-PAT1
31 2558 13:00 – 16:00 .
39
BY MATHTiME
PRE-PAT 1
1 4 16 4 31 0077.00
2 3 17 3 32 0003.20
3 3 18 2 33 0003.75
4 1 19 2 34 0021.00
5 2 20 1 35 0018.00
6 4 21 3 36 0083.00
7 1 22 3 37 0058.27
8 4 23 2 38 0000.70
9 1 24 3 39 0007.00
10 3 25 2 40 0013.00
11 1 26 1 41 1120.00
12 2 27 4 42 0199.00
13 1 28 3 43 0079.00
14 2 29 2 44 0001.20
15 3 30 4 45 0085.00
1 X 6 180
2 X 8 120
2 300
71 PRE-PAT1
31 2558 13:00 – 16:00 .
40
BY MATHTiME
-> pdf PRE-PAT 1
http://www.dropbox.com/s/f3unmhseeydosxx/PREPAT1OCT58ANS.pdf?dl=0
Link Link
** http://bit.ly/1KHJpaT ** ** http://tiny.cc/PREPAT1OCT58ANS **
->
: Facebook Fanpage ‘MATHTiME’ (facebook.com/MATHTiME99)