ABC

    C

    a
ABC
BC
ABC
AB

ABC
 C          AB
AC   BC
a               A
b            B, c
    C   c
            a,b
a   b
ABC

ABC   a,b   c

ABC               C

     ABC

    ABC

    ABC

              PQR
    QR, PM = 24      PQ = 25   MR = 10
                    PQR
ABCD




ABO



    a   b



    √ , √ , √ , -√ , - √ , -√   ¶
a
            a               a
        -



-                       -
    x               -



-                       -

                -
x4    - x -4


 x8     - x -8

      x35      -   x (-35)
a
a                          a
            a




        -       a   a= ,
-
-

    -
a                           a

    a
                        a
            a




        -   -
                -   -
-   -
        -
x7x7

= (7)3
ax + b = 0   a, b   a
2x+3 = 0
2a+1 = 0

     a, b    c

              symmetric property)
  a=b       b=a
                  transitive property)
  a=b       b=c    a=c
distributiveproperty)
a(b+c) = ab + ac

            additiveproperty)
   a=b   a+c=b+c
    a-c=b-c

                multiplicative property)
  a=b
axc=bxc
   a/c=b/c          c
y = mx + c
      m                 Y   c

y = 3x + 2 y = 2x - 5
y=x+7
y=-x-8
2.Ax + By + C = 0

  x + 2y + 5 = 0
3x - 4y - 12 = 0
8x + 7y - 20 = 0


Ax + By + C = 0
By = - Ax - C
Y=-X-( B
          y = mx + c
      m=-       C=-
3. y = c                 X
           X         C

  Y=2                    X
       X=2
  Y = -5                 X
               X=5
4. X = C                Y
           Y   C|

X=3                 Y
           Y
X = -4              Y
           Y
X          Y              X
    y=0            y        X=0
                       X       Y
a             X        b               Y
                                   X       a,0)
          Y            b)
X                   y = 2x - 5           y
    x = 3 , y = 2(3) - 5 = 1
                                                   y = 2x –
5
         Slope)
                                 y = mx + c    m
                                 Ax + By + C = 0        -

                                 y = 2x - 3
                                  x - 2y + 5 = 0
y = 3x - 5
   X
 x + 4y - 12 = 0
     X
                   X

                   Y
Ax + By + C = 0
        A,B       C       A,B

    y = mx + c m      c

                          m     C

                                    x
x
 x/6
x/12
x/7

  x/2
                             x = x/6 + x/12 + x/7 + 5 + x/2 + 4
    ...........................x = x/6 + x/12 + x/7 + x/2 + 9
    ...........................x = (1/6 + 1/12 + 1/7 + 1/2) x + 9
    ...........................x = [(14 + 7 +12 + 42) /84] x + 9
    ...........................x = 75/84 x + 9
    .....................84 x = 75 x + 756
    .......................9 x = 756
    ...........................x = 84

f    i             g   h




MN       PQ   RS
MRS = RSQ (             NRS = RSP (




     RS       MN   PQ

งานนำเสนอ12

  • 5.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
    ABC C AB AC BC
  • 13.
    a A b B, c C c a,b
  • 14.
    a b
  • 15.
  • 17.
  • 18.
    ABC a,b c ABC C
  • 19.
    ABC ABC
  • 20.
    ABC
  • 21.
    PQR QR, PM = 24 PQ = 25 MR = 10 PQR
  • 24.
  • 27.
    a b
  • 31.
  • 32.
    √ , √ , √ , -√ , - √ , -√ ¶
  • 33.
    a a a - - - x - - - -
  • 34.
    x4 - x -4 x8 - x -8 x35 - x (-35)
  • 35.
    a a a a - a a= ,
  • 36.
  • 38.
    a a a a a - - - -
  • 39.
    - - -
  • 41.
  • 43.
    ax + b= 0 a, b a
  • 44.
    2x+3 = 0 2a+1= 0 a, b c symmetric property) a=b b=a transitive property) a=b b=c a=c
  • 45.
    distributiveproperty) a(b+c) = ab+ ac additiveproperty) a=b a+c=b+c a-c=b-c multiplicative property) a=b axc=bxc a/c=b/c c
  • 47.
    y = mx+ c m Y c y = 3x + 2 y = 2x - 5 y=x+7 y=-x-8
  • 48.
    2.Ax + By+ C = 0 x + 2y + 5 = 0 3x - 4y - 12 = 0 8x + 7y - 20 = 0 Ax + By + C = 0 By = - Ax - C Y=-X-( B y = mx + c m=- C=-
  • 49.
    3. y =c X X C Y=2 X X=2 Y = -5 X X=5
  • 50.
    4. X =C Y Y C| X=3 Y Y X = -4 Y Y
  • 51.
    X Y X y=0 y X=0 X Y a X b Y X a,0) Y b)
  • 52.
    X y = 2x - 5 y x = 3 , y = 2(3) - 5 = 1 y = 2x – 5 Slope) y = mx + c m Ax + By + C = 0 - y = 2x - 3 x - 2y + 5 = 0
  • 53.
    y = 3x- 5 X x + 4y - 12 = 0 X X Y
  • 54.
    Ax + By+ C = 0 A,B C A,B y = mx + c m c  m C x
  • 56.
  • 57.
    x = x/6 + x/12 + x/7 + 5 + x/2 + 4 ...........................x = x/6 + x/12 + x/7 + x/2 + 9 ...........................x = (1/6 + 1/12 + 1/7 + 1/2) x + 9 ...........................x = [(14 + 7 +12 + 42) /84] x + 9 ...........................x = 75/84 x + 9 .....................84 x = 75 x + 756 .......................9 x = 756 ...........................x = 84
  • 58.
  • 59.
    f i g h MN PQ RS
  • 60.
    MRS = RSQ( NRS = RSP ( RS MN PQ