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Title: 3 Author: ken3 Last modified by: KOJI Created Date: 7/21/2005 6:21:14 AM Document presentation format – PowerPoint PPT presentation

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1
3????????????
2
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  • ??????3???????????
  • ??????
  • ??????????????
  • ?????????(???)???????
  • ?)(1,2,3) ?3??????
  • ?????
  • ?????????????

3
?????????
  • ??????????????

k?
a
ka??????
4
??????
ab?????
?????a?b??????????
ab
b
a
5
???????(1)
???????????
a????a??????????
b
a(a,b,c)????
a
?(???)
a2b2c2
?????????????????
a
ababcos?
Sajbj ???????????
?a?b???????????????
6
???????(2)
???????c2 a2b2-2abcos? ???????c
a-b????? c2a 2 b 2 -2abcos? ??(
ax-bx)2(ay-by)2(az-bz)2 ??(ax2ay2az2)(
bx2by2bz2)-2ab cos? ? ab
cos?axbxaybyazbz
b
c
?
a
? ??????? ababcos? Sajbj
7
????????(1)
Z
????(???)
y
z
????? x?????? y?????? z???????
x
Y
????
??
X
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8
????????(2)
  • ?????
  • ?????????????3???????
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9
????????(3)
  • ???????????

??????
??? z
x??????? y?x?????? z?????
???? y
???? x
?
10
???
(X,Y,Z)(x?y?z)M ?????????????
x y z
X Y Z
M
?????????????
M???????????????
11
?????????????
z
Px i y j z k
P
i j k
P(X?Y?Z)(x,y,z)
y
????M
x
12
?????????????
i j k
P(X?Y?Z)(x,y,z) ??????
x y z
X Y Z

i j k
?????????????
i j k
i j k
x y z
x y z
X Y Z
x y z

X Y Z
? M
i j k
13
????????
?????a?ß??????
C? S? 0 -S? C? 0 0 0 1
Cß 0 Sß 0 1 0 Sß 0 Cß
1 0 0 0 Ca Sa 0 Sa Ca
M
???
SaSina CaCosa
??????3????????
14
X????
Z
Z
Y
a
a
Y
X
i j k
1 0 0 0 Ca Sa 0 Sa Ca
i j k

15
Y????
Z
Z
ß
Y
ß
X
X
i j k
i j k
Cß 0 Sß 0 1 0 Sß 0 Cß

16
Z????
Z
Y
?
Y
?
X
X
i j k
i j k
C? S? 0 -S? C? 0 0 0 1
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