ВУЗ:
Составители:
20
ɞɟɥɟɧɢɹ
i
K
S
V
F
ɢ ɪɚɞɢɚɥɶɧɵɦɢ ɮɨɪɦɮɚɤɬɨɪɚɦɢ
J
f
R
S
D
. Ɍɨɝɞɚ ɡɚɜɢɫɢɦɨɫɬɶ
ɚɦɩɥɢɬɭɞɵ ɞɟɥɢɬɟɥɶɧɨɣ ɲɢɪɢɧɵ
J
qK
S
D
* ɨɬ ɨɬɧɨɫɢɬɟɥɶɧɨɝɨ ɨɪɛɢɬɚɥɶɧɨɝɨ
ɦɨɦɟɧɬɚ ɮɪɚɝɦɟɧɬɨɜ ɞɟɥɟɧɢɹ ɨɩɪɟɞɟɥɹɟɬɫɹ ɢɧɬɟɝɪɚɥɨɦ
'''
L
L
qK LK qK LK
AYdB
DD
:::{
³
, ɝɞɟ ɫɮɟɪɢɱɟɫɤɚɹ ɮɭɧɤɰɢɹ
'
L
LK
Y :
ɜɯɨɞɢɬ ɜ ɨɩɪɟɞɟɥɟɧɢɟ ɤɚɧɚɥɨɜɨɣ ɮɭɧɤɰɢɢ
J
M
U
S
D
ɜɨ ɜ. ɫ. ɂɫɩɨɥɶɡɭɹ
ɩɪɢɛɥɢɠɟɧɢɟ, ɱɬɨ ɞɥɹ ɜɫɟɯ ɤɚɧɚɥɨɜ ɞɟɥɟɧɢɹ ɫ ɍɊɎ ɞɟɥɟɧɢɹ ɜɨ ɜ. ɫ. ɢɦɟɸɬ
ɭɧɢɜɟɪɫɚɥɶɧɵɣ ɯɚɪɚɤɬɟɪ, ɩɪɢɛɥɢɠɟɧɧɨ ɨɩɢɫɵɜɚɟɦɵɣ ɪɚɡɦɚɡɚɧɧɨɣ
G
-
ɮɭɧɤɰɢɟɣ
(29) ɜɟɥɢɱɢɧɭ
L
qKɫLK
B
ɦɨɠɧɨ ɩɪɟɞɫɬɚɜɢɬɶ ɜ ɜɢɞɟ
,0
L
mL
qKcLK qKc L K
BDaL
G
. ɉɨɞɫɬɚɜɥɹɹ ɩɨɥɭɱɟɧɧɨɟ ɜɵɪɚɠɟɧɢɟ ɞɥɹ
ɚɦɩɥɢɬɭɞɵ
J
qK
S
D
* ɜ ɮɨɪɦɭɥɭ (22) ɢ ɩɪɨɜɨɞɹ ɫɭɦɦɢɪɨɜɚɧɢɟ ɩɨ
L
,
1
J ,
2
J , F
ɩɪɢ ɭɱɟɬɟ ɢɧɬɟɪɮɟɪɟɧɰɢɢ ɞɟɥɢɬɟɥɶɧɵɯ ɚɦɩɥɢɬɭɞ ɫ ɪɚɡɥɢɱɧɵɦɢ
L
,
1
J ,
2
J , F ɢ ɧɟɡɚɜɢɫɢɦɨɫɬɢ ɞɟɥɢɬɟɥɶɧɵɯ ɮɚɡ
J
S
D
G
ɨɬ ɭɤɚɡɚɧɧɵɯ
ɤɜɚɧɬɨɜɵɯ ɱɢɫɟɥ, ɦɨɠɧɨ ɩɪɟɞɫɬɚɜɢɬɶ ɚɫɢɦɩɬɨɬɢɤɭ ɜɨɥɧɨɜɨɣ ɮɭɧɤɰɢɢ
Ȍ
J
M
S
V
, ɨɩɪɟɞɟɥɹɟɦɭɸ ɚɫɢɦɩɬɨɬɢɤɨɣ ɜɨɥɧɨɜɨɣ ɮɭɧɤɰɢɢ
Ȍ
J
M
qK
S
(22) ɦɨɞɵ
ɞɟɥɟɧɢɹ q , ɤɚɤ
^
`
11 2 2
11 2 2
12
2
12 0
21
Ȍ
16
1',
c
m
ik R
JM J J J
KqK MK K K
qKcL
J
JK
qKɫ
J
MK L L
KK
c
eJ
ab D
R
DaLY
SS SS
VV VV
S
SS
VV
ZF [ F [
S
ZF [ F [
X
ª
o
¬
*
:
¦
=
(33)
ɝɞɟ ɚɦɩɥɢɬɭɞɚ ɩɚɪɰɢɚɥɶɧɨɣ ɞɟɥɢɬɟɥɶɧɨɣ ɲɢɪɢɧɵ
J
ɫ
i
JJ
qKɫ qKɫ
e
S
G
SS
* *.
ɂɫɩɨɥɶɡɭɹ ɮɭɧɤɰɢɸ
(33) ɞɥɹ ɨɩɪɟɞɟɥɟɧɢɹ ɦɧɨɝɨɱɚɫɬɢɱɧɨɣ ɩɥɨɬɧɨɫɬɢ
ɩɨɬɨɤɚ ɮɪɚɝɦɟɧɬɨɜ ɞɟɥɟɧɢɹ
J
M
j
S
V
ɜ ɧɚɩɪɚɜɥɟɧɢɢ ɪɚɞɢɭɫɚ-ɜɟɤɬɨɪɚ R ɜɥ. ɫ.
ɢ ɩɪɨɢɡɜɨɞɹ ɢɧɬɟɝɪɢɪɨɜɚɧɢɟ ɷɬɨɣ ɩɥɨɬɧɨɫɬɢ ɩɨɬɨɤɚ ɩɨ ɭɝɥɚɦ ɗɣɥɟɪɚ
Z
ɢ
ɩɨ ɜɧɭɬɪɟɧɧɢɦ ɤɨɨɪɞɢɧɚɬɚɦ
1
[
,
2
[
ɮɪɚɝɦɟɧɬɨɜ ɞɟɥɟɧɢɹ ɫ ɭɱɟɬɨɦ
ɨɪɬɨɧɨɪɦɢɪɨɜɚɧɧɨɫɬɢ ɜɧɭɬɪɟɧɧɢɯ ɮɭɧɤɰɢɣ
11
K
S
V
F
ɢ
22
K
S
V
F
, ɦɨɠɧɨ
ɩɨɥɭɱɢɬɶ ɨɞɧɨɱɚɫɬɢɱɧɭɸ ɩɥɨɬɧɨɫɬɶ ɩɨɬɨɤɚ ɮɪɚɝɦɟɧɬɨɜ
JM
j
S
V
R ɜ
ɧɚɩɪɚɜɥɟɧɢɢ ɪɚɞɢɭɫɚ-ɜɟɤɬɨɪɚ
R ɜɥ. ɫ. [10]:
ɞɟɥɟɧɢɹ FVSi K ɢ ɪɚɞɢɚɥɶɧɵɦɢ ɮɨɪɦɮɚɤɬɨɪɚɦɢ fDJ S R . Ɍɨɝɞɚ ɡɚɜɢɫɢɦɨɫɬɶ
JS
ɚɦɩɥɢɬɭɞɵ ɞɟɥɢɬɟɥɶɧɨɣ ɲɢɪɢɧɵ * qK D ɨɬ ɨɬɧɨɫɢɬɟɥɶɧɨɝɨ ɨɪɛɢɬɚɥɶɧɨɝɨ
ɦɨɦɟɧɬɚ ɮɪɚɝɦɟɧɬɨɜ ɞɟɥɟɧɢɹ ɨɩɪɟɞɟɥɹɟɬɫɹ ɢɧɬɟɝɪɚɥɨɦ
³ AqKD : ' YLK L : ' d : ' { BqKD LK L , ɝɞɟ ɫɮɟɪɢɱɟɫɤɚɹ ɮɭɧɤɰɢɹ YLK L : '
ɜɯɨɞɢɬ ɜ ɨɩɪɟɞɟɥɟɧɢɟ ɤɚɧɚɥɨɜɨɣ ɮɭɧɤɰɢɢ UDJ S M ɜɨ ɜ. ɫ. ɂɫɩɨɥɶɡɭɹ
ɩɪɢɛɥɢɠɟɧɢɟ, ɱɬɨ ɞɥɹ ɜɫɟɯ ɤɚɧɚɥɨɜ ɞɟɥɟɧɢɹ ɫ ɍɊɎ ɞɟɥɟɧɢɹ ɜɨ ɜ. ɫ. ɢɦɟɸɬ
ɭɧɢɜɟɪɫɚɥɶɧɵɣ ɯɚɪɚɤɬɟɪ, ɩɪɢɛɥɢɠɟɧɧɨ ɨɩɢɫɵɜɚɟɦɵɣ ɪɚɡɦɚɡɚɧɧɨɣ G -
ɮɭɧɤɰɢɟɣ (29) ɜɟɥɢɱɢɧɭ BqKɫLK L ɦɨɠɧɨ ɩɪɟɞɫɬɚɜɢɬɶ ɜ ɜɢɞɟ
BqKcLK L DqKc aLm L G K L ,0 . ɉɨɞɫɬɚɜɥɹɹ ɩɨɥɭɱɟɧɧɨɟ ɜɵɪɚɠɟɧɢɟ ɞɥɹ
JS
ɚɦɩɥɢɬɭɞɵ * qK D ɜ ɮɨɪɦɭɥɭ (22) ɢ ɩɪɨɜɨɞɹ ɫɭɦɦɢɪɨɜɚɧɢɟ ɩɨ L , J1 , J 2 , F
ɩɪɢ ɭɱɟɬɟ ɢɧɬɟɪɮɟɪɟɧɰɢɢ ɞɟɥɢɬɟɥɶɧɵɯ ɚɦɩɥɢɬɭɞ ɫ ɪɚɡɥɢɱɧɵɦɢ
L , J1 , J 2 , F ɢ ɧɟɡɚɜɢɫɢɦɨɫɬɢ ɞɟɥɢɬɟɥɶɧɵɯ ɮɚɡ GDJ S ɨɬ ɭɤɚɡɚɧɧɵɯ
ɤɜɚɧɬɨɜɵɯ ɱɢɫɟɥ, ɦɨɠɧɨ ɩɪɟɞɫɬɚɜɢɬɶ ɚɫɢɦɩɬɨɬɢɤɭ ɜɨɥɧɨɜɨɣ ɮɭɧɤɰɢɢ
ȌVJ S M , ɨɩɪɟɞɟɥɹɟɦɭɸ ɚɫɢɦɩɬɨɬɢɤɨɣ ɜɨɥɧɨɜɨɣ ɮɭɧɤɰɢɢ Ȍ qK
JS M
(22) ɦɨɞɵ
ɞɟɥɟɧɢɹ q , ɤɚɤ
eikc R 2J 1 ª J
ȌVJ S M o ¦
qKcL
aKJ bVJ SqK
R 16S 2 ¬
^DMK Z FVS1K1 [1 FVS 2 K 2 [ 2
JS
* qKɫ
1
J K J
DM S S
K Z FV K [1 FV 1 1 2 K2
`
[ 2 aLm L YL 0 : '
=X c
,
(33)
JS iG ɫJ S JS
ɝɞɟ ɚɦɩɥɢɬɭɞɚ ɩɚɪɰɢɚɥɶɧɨɣ ɞɟɥɢɬɟɥɶɧɨɣ ɲɢɪɢɧɵ * qKɫ e * qKɫ .
ɂɫɩɨɥɶɡɭɹ ɮɭɧɤɰɢɸ (33) ɞɥɹ ɨɩɪɟɞɟɥɟɧɢɹ ɦɧɨɝɨɱɚɫɬɢɱɧɨɣ ɩɥɨɬɧɨɫɬɢ
ɩɨɬɨɤɚ ɮɪɚɝɦɟɧɬɨɜ ɞɟɥɟɧɢɹ jVJ S M ɜ ɧɚɩɪɚɜɥɟɧɢɢ ɪɚɞɢɭɫɚ-ɜɟɤɬɨɪɚ R ɜ ɥ. ɫ.
ɢ ɩɪɨɢɡɜɨɞɹ ɢɧɬɟɝɪɢɪɨɜɚɧɢɟ ɷɬɨɣ ɩɥɨɬɧɨɫɬɢ ɩɨɬɨɤɚ ɩɨ ɭɝɥɚɦ ɗɣɥɟɪɚ Z ɢ
ɩɨ ɜɧɭɬɪɟɧɧɢɦ ɤɨɨɪɞɢɧɚɬɚɦ [1 , [ 2 ɮɪɚɝɦɟɧɬɨɜ ɞɟɥɟɧɢɹ ɫ ɭɱɟɬɨɦ
ɨɪɬɨɧɨɪɦɢɪɨɜɚɧɧɨɫɬɢ ɜɧɭɬɪɟɧɧɢɯ ɮɭɧɤɰɢɣ FVS1K1 ɢ FVS 2 K 2 , ɦɨɠɧɨ
ɩɨɥɭɱɢɬɶ ɨɞɧɨɱɚɫɬɢɱɧɭɸ ɩɥɨɬɧɨɫɬɶ ɩɨɬɨɤɚ ɮɪɚɝɦɟɧɬɨɜ jVJ S M R ɜ
ɧɚɩɪɚɜɥɟɧɢɢ ɪɚɞɢɭɫɚ-ɜɟɤɬɨɪɚ R ɜ ɥ. ɫ. [10]:
20
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