vi tri tuong doi 2 mp 12
Bạn đang xem bản rút gọn của tài liệu. Xem và tải ngay bản đầy đủ của tài liệu tại đây (1.2 MB, 10 trang )
a)Haimtphng()v()ct nhautheomtngthngkhi
vchkhihaivectphỏp tuynkhụngcựngphng.
Vtrớtngicahaimtphng
! "#$%$&$'() !*"
! +"+#$+%$+&$'+() !*+"
( )
CBAn ;;
=
( )
';';'' CBAn
=
%! " ,! +" +++
-"! ",./012! +"
"! "3434! +"
''' D
D
C
C
B
B
A
A
===
''' D
D
C
C
B
B
A
A
==
Chựmmtphng
Haimtphng()v()ct nhautheomtngthngd
5617689,6:;<472=/chuứm maởt phaỳng/
!#$%$&$'"$à!+#$+%$+&$'+"()>
?
$à
?
)!?"
@1,.A!?"=/6@1,.A/889,6:
B'
4-89,6:!α
*
">!α
?
">!α
C
"=D=@17,46@1,.A
!α
*
"?#E%$&$*()>!α
?
"#$C%E&$?()>!α
C
"E?#$?%$C&$C()
*"@82!α
*
"F,!α
?
"
?"2GH,6@1,.A89,6:!α";24,%GH
!α
*
"F,!α
?
"0/I2;I2GJ8K
)
(!*L?L*"
22
( )
1;1;2
1
−=
n
( )
1;3;1
2
−=
n
%!αậ
*
" ,!αắ
?
"⇔?E** *CE*≠
>=/0G,166,%GH
M
6@1,.A89,6:!α"4<7
λ!?#E%$&$*"$µ!#$C%E&$?"()>λ
?
$µ
?
≠)
%
!?λ$µ"#$!Eλ$Cµ"%$!λEµ"&$λ$?µ()
K
)
(!*L?L*"∈!α"GN
!?λ$µ"*$!Eλ$Cµ"?$!λEµ"*$λ$?µ()⇔?λ$Oµ() λ$Pµ()⇔
4λ(P,Aµ(E* 6@1,.A89,6:!α"=/
Q#EQ%$R&$?()
C"2GH,6@1,.A89,6:!β";24,%GH!α
*
"
0/!α
?
"0/3434012,.7%
P"2GH,6@1,.A89,6:!γ";24,%GH!α
*
"
0/!α
?
"0/04N489,6:!α
C
"
M 6@1,.A89,6:!β"4<7
!?λ$µ"#$!Eλ$Cµ"%$!λEµ"&$λ$?µ()
S!β"TT%GNG534H%,.46@1,.A!β"-U)
!Eλ$Cµ"() 4λ(C,Aµ(* 6@1,.A!β"
Q#$?&$R()
M @1,.A89,6:!γ"4<7
!?λ$µ"#$!Eλ$Cµ"%$!λEµ"&$λ$?µ()
89,6:!γ"40G,166,%GH
( )
µλµλµλ
−+−+=
;3;2n
( )
3;2;2'
−=
n
89,6:!α
C
"40G,166,%GH
289,6:04N4GN
0'
=
nn
!?λ$µ"!E?"$!Eλ$Cµ"V?$!λEµ"VC() ECλ$µ()
4λ(*,Aµ(C
6@1,.A!γ" R#$O%E?&$Q()
⇔
⇔
⇔
/2* WG,0X,.S,@1I4H289,6:46@4,.A
"#$?%E&$R()0/?#$C%EQ&EP()
22 289,6:F,0A*?E*≠?CEQ
-"#E?%$&$C()0/?#E%$P&E?()
22 289,6:F,0A*E?*≠?E*P
22 289,6:F,0A***≠??E?
22 289,6:34340A
22 289,6:,./0A
"#$%$&E*()0/?#$?%E?&$C()
<"C#E?%EC&$R()0/Y#EZ%EY&ER()
G"#E%$?&EP()0/*)#E*)%$?)&EP)()
3 2 3 5
9 6 9 5
− −
= = ≠
− − −
40
4
20
2
10
1
10
1
−
−
==
−
−
=
/2?WIX2,.X=0/8IGJ9689,6:3<N%
3434012
"?#$=%$?&$C()0/8#$?%EP&$Q()
-"?#$%$8&E?()0/#$=%$?&$O()
22
"[GJ289,6:3434,AI2GD\2G5D0/I=/
2 2 3
2 -4 7
l
m
= = = ⇔
2 2
= 4
-4
= 1
2
2 -4
m
l
µ
λ
=
⇔
=
4
1
2
m
l
=
⇔
=
2 1 -2
1 2 8
m
l
= = =
2 1
1
2
1 2
l
m
=
⇔
=
/2C4289,6:46@1,.A
?#E8%$C&EZ$8()0/!8$C"#E?%$!R8$*"&E*)()
122,.X/48IGJ289,6:I4
"]434012^
-"./^
"F,^
22
"]434012^
2 3 -6
(*)
3 2 5 1 10
m m
m m
+
= = =
+ + −
2
3 2
m
m
=
+
2 3
3 5 1m m
=
+ +
1m⇔ =
8(*,A\4N,4!_"
5%\4N42,.X/48IGJ289,6:TT
-"./\28(*
"F,\28≠*
⇔
/2P2GH,6@1,.A89,6:,.484`2,.@1/1763
"2GH,6@1,.A89,6:!α";I2GJ8K
)
(!?L*LE*"
0/I2;24,%GH!α
*
"F,!α
?
"
-"2GH,6@1,.A89,6:!β";24,%GH8a
%$?&EP()0/#$%E&EC()I4D,1/2/34340128a#$%$&E?()
!α
*
"#E%$&EP() !α
?
"C#E%$&E*()
M
6@1,.A89,6:!α"4<7
λ!#E%$&EP"$µ!C#E%$&E*"()>λ
?
$µ
?
≠)
%
!λ$Cµ"#E!λ$µ"%$!λ$µ"&EPλEµ()
K
)
(!?L*LE*"∈!α"GN
EPλ$Cµ()!λ$Cµ"?E!λ$µ"V*$!λ$µ"!E*"EPλEµ()⇔
4λ(C,Aµ(P 6@1,.A89,6:!α"=/
*R#EQ%$Q&E*Z()
M
6@1,.A89,6:!β"4<7
λ!%$?&EP"$µ!#$%E&EC"()>λ
?
$µ
?
≠)
%
µ#$!λ$µ"%$!?λEµ"&EPλECµ()
289,6:3434
⇔
⇔
2 - -4 - 3
1 1 1 -2
µ λ µ λ µ λ µ
+
= = =
λ(µ()
b4N4!β"
"2GH,6@1,.A89,6:!γ";24,%GHC#E%$&E?()
0/#$P%ER()/I4D,1/204N489,6:?#E&$Q()
M
@1,.A89,6:!γ"4<7
!Cλ$µ"#$!Eλ$Pµ"%$λ&E?λERµ()
89,6:!γ"40G,166,%GH
( )
λμλ-μλn ;; 4++3=
( )
102= -n ;;'
89,6:?#E&EQ()40G,166,%GH
289,6:04N4GN
0'
=
nn
!Cλ$µ"!?"$!Eλ$Pµ"V)$!λ"!E*"() Rλ$?µ()
4λ(E?,Aµ(R
6@1,.A!γ" #E??%$?&$?*()
⇔
⇔⇔
RWIX2,.X=>8IGJ-89,6:3IN%/I2
;845,I@1/,:
R#$=%$P&$8() C#EQ%$&EC() #EY%E?&$R()
22
*289,6:
C#EQ%$&EC() #EY%E?&$R()
0/
F,,G4I@1,:<
47,.GN<?<2GJ86N-2G5,
K0/,%,47I45K0/0/46@1,.AR#$=%$P&$8()
,A8I@17=(ERL8(E**
?
K9,6:,@-I2;24,%GH289,6:\2GN
6@1,.A44<76@1,.A/8
!C#EQ%$&EC"$à!#EY%E?&$R"()>
?
$à
?
)
!C$à"#E!Q$Yà"%$!E?à"&EC$Rà()
489,6:,@- R#$=%$P&$8()
5%C$à(R!*"LQ$Yà(El (2)
LE?à(P!C"LEC$Rà(8!P"
,@/!*"L (3) ta coự: (?à(E1
%(?à(E1 vaứo (2) va(4) ủửụùc:l= -5 vaứ m=-11
