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Published by krujum16kb, 2022-03-13 11:57:45

แผน ค31102 -64

แผน ค31102 -64

150

x2 y Rf y y 0 0,
2

xy
2

y0
2

y0

9) y = x

y= x y

x R

Df x x R

x0 0 0,
y0
Rf y y

10) y = x + 1

y= x+1 y

x R

Df x x R

x1 0 0,
y0

Rf y y 0

151

62

2 31102 4/4

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14-15 2564 8.30-9.20/10.10-11.00 . 1/3

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15 2564

ตัติ

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2 2564

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17 2564

กำตั

155

62

2 31102 4/7

2 2564

14 2564 11.50 13.30 . 5 - 6

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156

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14 2564

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157

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17 2564

ติต้

159

31102 2 7 4
1
y ax b a, b 200
ON LINE

1.
1.2

1.2 5/1
2

a0

3
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1.
2.

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1.
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google meet kb404 / kb406 / kb407 / kb409

1. y ax b a, b a0

2.
1) y x

yx

162

2) y 2x 1

y 2x 1

3) y 3x

y 3x

3. a0 yb
4.
X
y ax b

(Constant function)

5.

y1 5
y2 5

163

y1 5

y2 5

4. 1
5.

1 x, y2 2x, y3 5x
1) y1 x,
2) y1 x, y2 1 x, y3 1x
2 2
3) y1
y2 x

1) y1 x, y2 2x, y3 5x

y3 y1
y2

164

2) y1 x, y2 1 x, y3 1x
2 5

y1
y2
y3

3) y1 x, y2 x y1

y2

y1 x y2 x YX
1
6. 2
7.

2 x, y2 x 2 y3 x 4
1) y1 x, y2 x 2 y3 x 4
2) y1

165

1) y1 x, y2 x 2 y3 x 4

y3 y2 y1

(0, 0),(0, 2) (0, 4) y x c c 0, 2, 4 Y y 0, 2, 4

X x 0, 2, 4 (0, 0),(0, 2) (0, 4)

2) y1 x, y2 x 2 y3 x 4

y1
y2
y3

y xc c 0, 2, 4 Y y 0, 2, 4
(0, 4)
(0, 0),(0, 2) (0, 4) X x 0, 2, 4 (0, 0),(0, 2)

8. 2
9. 3

166

3 XY
1) y x
2) y 7 3
x
1) y x 3

Xy
X ( 3, 0)

Yx
Y (0, 3)

2) y 7 x

Xy
X (7, 0)

Yx
Y (0, 7)

10. 3
11. 4

167

4 y 2x 9 X ( 1, 6) y
y
y 2x 9 9 Y
2
x0
y9 0

( 1, 6) y

y 2x 9 1

yx

y 2( 1) 9 7

x1 y7 ( 1, 6) y
( 1, 7) 4
y

12.

11. ( )
12. 7

168
8

7 1. 7 - 7

2. 60 %

7

-
-
-

7 169

y ax b a, b a0

1) y x

yx

2) y 2x 1

y 2x 1

3) y 3x

y 3x

170

y ax b a0 yb

(Constant function) X

y1 5 y1 5
y2 5 y2 5

1

1) y1 x, y2 2x, y3 5x
2) y1 x,
y2 1 x, y3 1x
2 2

3) y1 x, y2 x
..

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2 171
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1) y1 x, y2 x 2 y3 x 4

2) y1 x, y2 x 2 y3 x 4

..

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3

1) y x 3

2) y 7 x

..

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172

4 y 2x 9 ( 1, 6) y

..
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173

7

1) y1 5x 3 y2 5x 3
2) y1 x3 y2 x 3
3) y1 y2 5 x
5x

174

7

y

1) (2,2) y 3 x 1
2

x2 y 3 x 1
2

y 3 (2) 1
2

y2

(2, 2) y 3x 1
2

2) (1, 4) y 7 2x

x1 y 7 2x

y 7 2(1)

y5

(1, 4) y 7 2x

3) (1,2) y 5 y5
y 7 2x
y5
(1, 2)

175

72

2 31102 4/4

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177

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2 31102 4/6

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2 31102 4/7

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2 31102 4/9

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ภาพ นตอ

24 2564

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183

27 -30 2564 2/2564
4/4 https://forms.gle/mTpu3vQtWTwswK287

184

4/6 https://forms.gle/jk38R54ywSouhBwXA

185

4/7 https://forms.gle/XPVWRHteWm6J1Ax2A

186

4/9 https://forms.gle/DmEYp1Y4jUN8jBFk9

187

188

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31102 2 8 190
1 pattern)
4
200

1.
1.2

4.1

2

y ax2 bx c a, b c

a0 :

3
:

3.
4.

1.
2.
3.
4.
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:
1.

5
1.
2.

191
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2 :
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3

24.

y ax2 bx c a, b c
y 2x2 2x 1, y 7x2 4
a0
a, b c
a

y ax2 bx c, a 0 y ax2 bx c, a 0

193

a0
a0

2.
3. 1

1 2) y 5x2 3) y 1 x2
1) y x2
5

1) y x2

2) y 5x2

) y 1 x2

5

194

13. 2 5x2 3) y 1
14.
x2 2) y 1 x2
2 5
1) y y x2

1)

2) y 5x2

195

3) y 1 x2

5

15. 2
16.
3
3
1) y1 3x2 1

2) y2 1x
2
3) y3 x 22
4) y4
1) x 22 1

y1 3x2

y1 3x2 (0, 0)

2) y2 1x
2

196

y2 1x (0, 0)
2

3) y3 x 2 2 1

y3 x 2 2 1 ( 2,1)

4) y4 x 2 2 1

y4 x 2 2 1 (2, 1)

197

17. 3
18.

y = a x-h 2 +k, a 0

1) f(x) = a x - h 2 + k, a 0

f (h, k) (h, k) f(h) k
f f(x)

2) f(x) = a x - h 2 + k, a 0
(h, k)

f (h, k) f(x) f(h) k
f

10.
11. 4

4

1) f x x 22 1

2) f x x 22 1

3) f x x 22 1

4) f x x 22 1

1) f x x 2 2 1 a 1, h 2 k 1

a0 f ( 2,1)

198

f x x 22 1

Df x x R Df ( 2, 1)
Rf y y R y1
x 22 1
fx

a f2 1
f
41
12.

2) f x x 2 2 1 a 1, h 2 k 1

a0 f ( 2,1)
fx x 22 1

Df x x R Df ( 2,1)
Rf y y R y1
x 22 1
fx

a

199

f f2 1 42

13.

3) f x x 22 1 a 1, h 2 k1

a0 f (2, 1)
fx x 22 1

Df x x R y1
Rf yy R (2, 1)
x 22 1
fx

a f2 1
f
43
14.
k1
4) f x x 2 2 1 a 1, h 2 (2, 1)

a0 f
fx x 22 1

Df x x R Df
Rf y y R y1


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