??????????????????? ( Translation of Axes)

1
??????????????????
????????????? ?????????????????????????
???????? ???????????? ?????????????
???????????????????
???????????????????????????????????????????
????????????? ??? 1
2
??????????????????? ( Translation of Axes)
3
?????????????
?????????????????????????????????? ???????????????
???????
4
??????????????????? ( Translation of Axes)
Y
Y?
(x',y')
y'
x'
y
???????
X?
?
O'(h,k)
k
h
???????
X
O
x
5
?????????????????????????????????? (h ,
k) ???? ?????????????????????????????????????????
?????? (x , y) ??????????????????????????????????
???????? (x?,y?) ???
x x? h ??? y y? k
???? x? x - h ???
y? y - k
6

• ??????????? 1 ??????????????????????? (2, 3)
  ?????????????????
• ?. ??????????????????????? ????????????????????
• (-2, 4) ,(5, 0), (0, 0) ??? (2, 3)
• ???????????? y
  ???????????????????????????????????? (x?,y?)
  ???????? (x,y) ???????????

7
?. ??????????????????????? ????????????????????
(-2, 4) ,(5, 0), (0, 0) ??? (2, 3)
??????
(h, k) (2, 3) ????? h 2 , k 3
(x', y') ( x- h , y- k )
1) (-2,4)
3) (0,0)
(x', y') ( x- h , y- k )
(x', y') ( x- h , y- k )
( -2-2 , 4-3 )
( 0-2 , 0-3 )
(x', y') (-4, 1)
(x', y') (-2, -3)
4) (2,3)
2) (5,0)
(x', y') ( x- h , y- k )
(x', y') ( x- h , y- k )
( 2-2 , 3-3 )
( 5-2 , 0-3 )
(x', y') (0, 0)
(x', y') (3, -3)
8

1. ???????????? y
   ???????????????????????????????????? (x?, y?)
   ???????? (x, y) ???????????

??????
???????? y
??????????????????????? x 2 ??? y 3
????? y 3
?????? y - 3 ???? y? ??? x 2 ????
x? ????? y?
??????????????????????????
9
?????????????????????????????????? ??????????
?????????? ??????????????????????????
???????????????????? (0 , 0) ??????????????
???????????????????? ???( h ,k )
???????????????????????????? P(x, y) ???
?????????????? P( x ?, y?) ?????????? ??????
x? x - h ???
y? y - k ?????????????????????????????
??????????? ??????????????????????????????????
10
??????????? 2 ?????????????? y
?????? ???????????????????????? y - 3
?????????????????????????????? ???
y?
???????????????????? ( 2, 3 )
????????? y?
??????
Y
Y?
X?
(2,3)
X
O
?????????? ?????????????????? y
????
11
??????????? 3 ?????????????? y ( x 2 )3
?????? ?????????????????? y - 0
( x 2 )3
??????????????????????????
???? ??? y? ( x?)3
???????????????????? ( 2, 0 ) ????????? y?
( x?)3 ??????
Y?
Y
0
,X?
(2,0)
X
???????????????????????????? ????

12
???????????