2. 2x y + 3 = 0 x, y
............................................................................
y = ............................................................................
xy .................................................................
x
y
............................................................................................ .....................................
(1)
:
1. x y 2 = 0 x, y
x y 2=0
y = .....x...-...2.................................................................
....................y...=....x...-...2................................
xy
x -1 0 2
y -3 -2 0
............(..-.1..,...-.3..).,...(.0..,..-..2..).,...(.2..,..0...)............................................................................. ....
.................................................................................................. ....................... .................
2. 2x y + 3 = 0 x, y
2x y + 3 = 0
y = ....2..x....+....3..............................................................
xy .............y....=....2..x...+....3...................................
x -2 0 1
y -1 3 5
..............(..-.2..,..-..1..).,...(.0..,..3...).,..(.1...,..5..).................................................................................
21102 4
42 เการ ยนกราฟของสมการเ ง.เ..น..ส..อ..ง...ว.แ..ป..ร...(.1.).................................. 1
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21102 5
42 เการ ยนกราฟของสมการเ ง.เ..น..ส.อ..ง...ว..แ.ป..ร....(1..).................................. 1
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21102 6
42 เการ ยนกราฟของสมการเ ง.เ...น.ส..อ..ง...ว.แ..ป..ร...(.1.).................................. 1
...k....:......ก..เ..ย..น..ส.า..ม.า..ร.ถ..เ..ย..น..ก.ร..า.ฟ..ข.อ.ง..ส.ม.ก..า.ร..เ..ง..เ..น..ส.อ..ง...ว.แ..ป.ร.อ....า.ง..า.ย.ไ.......อ.ย.ล..ะ....8.2...0..5........................................................................ .
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......1........ด.....จ.ก..ร.ร..ม..ท.บ..ท..ว.น..ก.า..ร.บ...ว..ก..ล..บ.....ณ....ห..า..ร......า.น.ว..น.เ...ม.ใ..น...ว..ง..น..ำ....................................... .................................................
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43 (2)
2 21102 1
2 2564 1
1.
1.3
1.3 1/2
Ax + By + C = y = ax + b
xy xy
3. K)
3.1 P)
A)
3.2
(2)
3.3
4.
5
5.1
5.2
5.3
6.
6.2
1)
2)
6.3
7.
7.1
8 Concept Based Teaching
1. Prior Knowledge) 1
x 0
y
1) y = 2x 2
-1 0
x -4 -2
y
Knowing) Ax + By + C = 0 2
4xy
2.
: 5x2 + 3y + 7 = 0
: Ax + By + C = 0 2
:
: 1)
3x + 4xy + 20 = 0
xy
2)
5x2
3)
3. Ax + By + C = 0 A, B C A=0 B 0
:
: By + C = 0
4.
Ax + By + c = 0
A=0 B 0
(0)x + By + c = 0
By + c = 0
y = ,B 0
5.
1 4y + 8 = 0
4y + 8 = 0 (0)x + 4y + 8 = 0
4y + 8 = 0
4y = -8
y=
y = -2
4y + 8 = 0 y = -2
x y = -2
6. 1
: y = -2
: x x2
: y = -2 y
: y (0, 2)
: (-3, y) y = -2 y
: y = -2
7. A 0 B = 0
Ax + By + c = 0
A 0 B=0
Ax + (0)y + C = 0
Ax + C = 0
x = ,A 0
8. 3x 9 = 0
2 3x 9 = 0 3x + (0)y 9 = 0
x=
x=3
3x 9 = 0 x = 3
y x3
9. 2
: x=3
: y y3
: x=3 x
: x (3, 0)
: (3, 0) x=3 x
:x=3
Understanding)
10.
11.
1) x = 4
2) x = -3
3) y = 3
4) y = -6
12. 4
13.
Doing) (2)
14.
15. 2-3
16.
17. Ax + By + C = 0 A,B C
1)
A=0 B 0 y= ,B 0
y=0
2) X x y ( , 0)
A 0 B=0 y x
x=0
y
. (K) 60
2
2 2
(P)
3
A)
. 32 1
80 60-79 59
(K)
2 y y
y
(P)
3
A)
10. (2)
21
10.1
- .....................................................
- ()
10.2
-
11.
ป๊ื
(2)
: 2) x = -4
4) y = -7
1) x = 5 6) y = 2x - 5
3) y = 2
5) y = 2x + 4
(2)
: 2) x = -4
4) y = -7
1) x = 5 6) y = 2x - 5
3) y = 2
5) y = 2x + 4
Y
x = -4 x=5
10 y = 2x + 4
9
y = 2x - 5
8
7
6
5
4
3
2 y=2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 9 10 X
-2 y = -7
-3
-4
-5
-6
-7
-8
-9
-10
21102 4
43 เการ ยนกราฟของสมการเ ง.เ...น.ส..อ..ง...ว.แ..ป..ร...(.2..)................................. 1
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21102 5
43 เการ ยนกราฟของสมการเ ง.เ..น..ส..อ.ง....ว.แ..ป.ร....(.2..)................................. 1
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21102 6
43 เการ ยนกราฟของสมการเ ง.เ...น..ส.อ..ง...ว..แ.ป..ร....(.2.)................................. 1
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....P...:.......ก..เ..ย..น.ส..า.ม..า.ร..ถ.เ...อ.ม.โ..ย.ง.ค..ว.า.ม...เ..ม...บ..อ.ง...ค..ว.า.ม.ใ..ห...ไ........อ.ย..ล..ะ....8..7..1.8..................................... .................................................
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.....1........ก..เ..ย.น..บ...ว..ก..ล...บ.....ณ...ห..า..ร......า.น..ว.น..เ..ม....ก...อ..ง..เ..ม..ม.า.ก..น....................................................... .............................................
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้ัช้ัช่ิพ้ตูถิตํจูคีรัน้น้ัข่ชิตํจูคิกัจิผ่ค่ืพ่ค้หํทึจ้ตูถ่มิตํจูคีรัน้รำทุ่มีมีรัน้ร้ด่ม์คักิดู้ร่ืชีรัน้ร้ด่ง่ยัต้สิชีขีรันัต้สิชีข
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2 21102 1
2 2564 1
1.
1.3
1.3 1/2
3. K)
3.1
P)
3.2 A)
3.3
4.
5
5.1
5.2
5.3
6.
6.2
1)
2)
6.3
7.
7.1
8 Concept Based Teaching
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1.
2.
3.
:
:
Knowing)
4.
: XY
AB
:A
Ay xa
yb
:B
Bx
:
C
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C xy
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:
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6.
7. b
8. a
c
A4
1) ed
2)
3) b+1 c
4)
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9.
10.
11.
12.
:
:
X
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2
(K) 2
2
21
(P) 60-79 59
3
A)
3
.
80
(K)
2
(P)
3
A)
10. 21
10.1 .....................................................
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-
-
10.2
-
11.
ช้ึ
................................................................................................ ........................ ...................
:
1)
2) 1 15
3) 20
4) 0.5
1) 8 24
2)
3)
4) 60
................................................................................................ ........................ ...................
:
1)
80
2) 1 15
50
3) 20
200
4) 0.5
30
1) 8 24
1
2)
16
3)
4) 60
21102 4
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