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ข้อสอบระบบสมการ A.pdf

Jan 12, 2016

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  • 3

    3

    -

    1. 7

    x

    y

    . x - 7 = y

    . x + 7 = y

    . x + y - 7 = 0

    . x + 7 = y 7

    2.

    . xy = 1

    . y

    1 -x = 2

    . 3x y 1 = 0

    . x = 3 - x y

    2

    3. 3x + 2y = 5 y

    y

    . 0

    . 1

    . 2

    . 2.5

    4.

    . 2x y = 10 3x + xy = 9

    . 5 ( x + y ) xy = 11 x y = 4

    . 8x + 2y = 5 7x + xy = 12

    . 3x 5y = 2 x + 15 = y

    5.

    . 12y4x3 , 12y4x3 . 1yx2 , 1yx2 . 9y7x , 9y7x . 4y2x3 , 8y4x6 6. ( a , 2 )

    2x 3y = 4 a

    . -2

    . 0

    . 5

    . 10

    7. 643 yx

    13

    1

    4

    1 yx

    . 1

    . 2

    . 3

    . 4

    8. 923 yx

    112122 yx

    . 1

    . 2

    . 3

    . 4

    A

    1

  • 9. y 2x = 4 x + y = 1

    . (0, 2)

    . (2 , 0)

    . (0 , 2)

    . (2 , 0)

    10. 2x + y = 23

    4x y = 19

    . (2 , 9)

    . (9 , 7)

    . (2 , 27)

    . (7 , 9)

    11. 2x y = 5 x + y = 4

    2x

    . 2

    . 3

    . 6

    . 9

    12.

    a + 2 = 2b + 3 2a 5b = 4

    . (2 , 7)

    . (2 , 3)

    . (3 , 2)

    . (7 , 2)

    13. y = 2x 7x y = 25

    3x y

    . 15

    . 10

    . 5

    . 0

    14. x y

    x + y = 12 x y = 2

    . x = 5 , y = 7

    . x = 7 , y = 5

    . x = 5 , y = 7

    . x = 7 , y = 5

    15. ba, 16y7x2 0yx2 ab

    . 2 . 1 . 1

    . 2

    16. ts, 70y40x30 ... 021y50x60 ... t5s9

    . 12 . 7 . 13

    . 17

    17. ba, 09

    5

    3 yx 4

    2

    1

    3

    1 yx

    b9a2 . 56 . 16 . 52

    . 54

    2

  • 18. 02y4x3 016ayx6 a

    . 2

    9

    . 8 . 8

    . 2

    9

    19. nm, 01185 yx

    0112413 yx n4m2 . 12 . 2 . 1

    . 12

    20. (x, y)

    2x + y = 4 x 2y = 2 xy

    . 0

    . 2

    . 10

    . 16

    21. 643 yx

    1246 yx

    .

    2

    3,0

    . 3,2

    .

    4

    3,3

    . 0,2

    22. 2x-3y+24= 0 X

    Y

    . (8,0) (0,12)

    . (-8,0) (0,-12)

    . (12,0) (0,8)

    . (-12,0) (0,8)

    23.

    . x + 2y = 5

    . x 2y = 4

    . 2x y = 3

    . 2x + 3y = 2

    24.

    . 5x y = 1

    . 4x y = 2

    . x + 4y = 1

    . x 4y = 2

    3

  • 25. 3x 2y = 1

    2x + y = 4

    .

    .

    .

    .

    26. 84

    6

    . 35

    . 37

    . 39

    . 45

    27. 25

    40

    30

    . 2:1

    . 3:1

    . 3:2

    . 3:4

    28. 17

    52

    . 7 10

    . 8 9

    . 9 8

    . 10 7

    29. 2

    4

    6

    . 15

    . 51

    . 62

    .

    30. 100

    46

    . 36

    . 18

    . 1

    .

    5

    -5

    -5 0 5

    5

    -5

    -5 0 5

    5

    -5

    -5 0 5

    5

    -5

    -5 0 5

    4

  • 5