!"#$%&'(
!"
#$ !"%&%'$ !
(
) !"*+,$-.(
/+012302+4,567$$
• 89 :;7+1*<+(89 7+1*=+
• 89 >7+1*?+(@26AB7+1*CD+
) E),E)$,";39
* :+03F2%2FGH,9H9%2I9 (
(&'+!,-#$%&'(
J2
/+0%+ :K
+
; :H2 L
C
CC
C(<C(<
M(DD
N
O# !
CC
C(<C(<
M(DD
M
:*+
,$
C
C
C(DD
P Q'
C
C
C
N(D
M(DD
./01234!"
'56!"2789 :;!
7<
;!&=>!?@ABCD"1&EF3#3B
G
36"(!HD%ID*JK3L!"#$&36"(!"(=,-
MĐ c 01 trangN
R(O8SJ8TQJ8U:V:JW:8XYR8
O M),$%N(
a. :%".Z;[+\I !
N
] ^ ] C^f x x= −
+1_.
D Mx x= =
,$(
b. :!,`A$3 ;[%".Z;[+\
I !
y x=
Px =
,$a23a2,$x.
O M),$%N
( :"); !
= NPz i= −
(
;( :"%&%'$ !
<]N ^
M <
C N
i
z i
i
−
= − +
−
(
O )M,$%N:,$-."*+
] b ^M x y
;2c !
z$'d
M M CDz z− + + =
(
RR(O8SeRfQJ8U:gQhi
23P!'8!"F3=I(!
O *M)Q,$%N(Q'1j," 2,F !
C(
N
N C Dz iz− + =
(]z7k^
N(
P
C
N
z i
z
−
=
÷
(]z7k^
R23P!'8!"F3=I(!FSI1!T/
O *RM)Q,$%NQ'1j," 2,F !
C(
N
N C Dz z− + =
(]z7k^
N(
( ) ( )
N
N Dz i i z i+ − − =
(]z7k^
(((((((((((((((((((((((((((8l:(((((((((((((((((((((((((((((
>!IF=&3#3;!""1&3EF3"U&38%
89F ((((((((((((((((((((((((((((((((((((((Yhm((((((((((((((((((((((((((((((((((((((((((((((((((((
Y:: n;2+ n
J2C O (J,$%
M(D+
m%".%7
M
N
D
] C^S x dx= −
∫
D(<
m$
[ ]
N
] C^ D DMx x− ≥ ∀ ∈
F
M
N
D
] C^S x dx= −
∫
D(N<
M
M
M
N N
D
D
] N C^ M
M
x
x x dx x x
= − + = − + =
÷
∫
D(<
L3%7SoM]+((s^ D(N<
O IJ,$%
Q'1j,"
D Dx x= ⇔ =
D(N<
:!,`A$3%7
( )
P
N
D
V x dx
π
=
∫
D(<
:5
( )
P
P P
N
N
D D
D
p
N
x
V x dx xdx
π π π π
= = = =
÷
∫ ∫
D(<
L3,`A$3%7
pV
π
=
]+((^ D(N<
J2N
]M(D+^
FO (J,$%
z = x + yi7); !z = 7 – 24i q
( )
N
= NPx yi i+ = −
D(N<
N N
N = NPx y xyi i− + = −
D(N<
N N
P
=
M
N NP
x
x y
y
xy
=
− =
⇔ ⇔
= −
= −
3=VF
P
M
x
y
= −
= +
D(=<
L35); !z = 7 – 24i 7
P M P Mi i− − +
D(N<
JGr(220);q$s !+(
(((((
FO IJ,$%
<]N ^ <]N ^]C N ^
M < M <
C N <
i i i
z i i
i
− − +
= − + = − +
−
D(<
o 9 D(<
L3%& !z7?%'$7D(
D(<
J2M
]C(D+^
O )W,$%
n-
C N
] MbD^ ]MbD^F F−
+55
N C
M Mz MF z MF− = + =
D(<
M M CDz z− + + =
q
C N
CDMF MF+ =
C N
tF F =
D(N<
:*+M(x; y)7+1_u7ZF2+F
1
, F
2
5 D(N<
1j,"7
N N
C
N< Ct
x y
+ =
(
Ch . Nu không ch r tiêu đim v vit pt c!a đư#ng (E)
không cho đim
J2P
i
]M(D+^
O *?Q,$%
:
( )
N
v N
C N Ni i∆ = − = − =
D(N<
v
∆
50);7
Ni
D(N<
L357
( ) ( )
C N C Nz i z i= + = −
D(<
O *?Q,$%
P N N
C C C D
N N N
z i z i z i
z z z
− − −
= ⇔ − + =
÷ ÷
÷ ÷ ÷
÷ ÷
(]n
Dz ≠
^ D(<
N N
N N
N
C D C
N N
C D
N N
z i z i
z z
z i z i
i
z z
− −
− = =
÷ ÷
⇔ ⇔
− −
+ = =
÷ ÷
D(<
Q'1j,"
N
C C
C
N N
M
z i
z i z i
z z
z i
= −
− −
= ⇔ = ± ⇔
÷ ÷
=
]w^ D(<
Q'
N
N
N C
< <
N C
N N
< <
z i
z i z i
i i
z z
z i
= − +
− −
= ⇔ = ± ⇔
÷ ÷
= +
]w^
D(<
L357
N C N C C
< < < < M
S i i i i
−
= + + −
(
J2P
h
]M(D+^
O *R?Q,$%
:
( )
N
N
C p = =i∆ = − = − =
D(N<
∆
50);7
=i
D(N<
L357
C =
P P
z i= ±
D(<
O *R?Q,$%
( ) ( ) ( ) ( )
N N
N D N Dz i i z i z i i z i+ − − = ⇔ + − + =
D(=<
N
D
z i i
z i
+ =
⇔
+ =
D(<
N M
D
z i i z i
z i z i
+ = − = −
⇔ ⇔
+ = = −
D(=<
L357
M z i z i= − = −