Аналитическая геометрия. Шурыгин В.В. - 54 стр.

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` M(x
1
0
; x
2
0
)
` λa + µb
a = {−A
2
; A
1
} b = {−B
2
; B
1
} `
1
`
2
V
2
A
2
M(x
1
0
; x
2
0
)
λ µ
M(x
1
0
; x
2
0
)
M(x
1
0
; x
2
0
)
M(x
1
0
; x
2
0
)
A
1
(x
1
− x
1
0
) + A
2
(x
2
− x
2
0
) = 0.
`
1
`
2
λ µ
`
1
`
2
`
3
A
1
x
1
+ A
2
x
2
+ A
3
= 0
B
1
x
1
+ B
2
x
2
+ B
3
= 0 C
1
x
1
+ C
2
x
2
+ C
3
= 0
A
1
x
1
+ A
2
x
2
+ A
3
= 0
B
1
x
1
+ B
2
x
2
+ B
3
= 0
C
1
x
1
+ C
2
x
2
+ C
3
= 0 .
A
1
A
2
A
3
B
1
B
2
B
3
C
1
C
2
C
3
= 0.
`
1
`
2
A
1
x
1
+A
2
x
2
+A
3
= 0 B
1
x
1
+B
2
x
2
+
B
3
= 0
λ µ `
1
`
2
`
1
`
2
[6L6*8 ,*1-8-32J .39;2J ` \.3-N-L9}2J )*3*[ 8-)12 M (x ; x ) = H-/1-7?12                                1       2
,6.36b79J}0M b*18-3 .39;-M ` 9b79*8/9 70,*M,-M 1-;+0,6 0*M λa + µb                                      0       0


,6.36b79J}0N b*18-3-b a = {−A ; A } 0 b = {−B ; B } .39;N ` 0 ` \
-+36[2J}0N +6[0/ b*18-3,-:- .3-/836,/8b6 V \ 6//- 003-b6,,-:- / A \
                                                   2        1                               2       1                           1           2


236b,*,0* b/91-M .39;-M\ .3-N-L9}*M )*3*[ 8-)12 M (x ; x ) \ ;-|,- .3*LK            2                                                       2


/86b08? b b0L* ‚Æaƒ .30 ,*1-8-3N λ 0 µ =
                                                                                                    1       2
                                                                                                    0       0

   ­-b-12.,-/8? .39;N\ .3-N-L9}0N )*3*[ -L,2 8-)12 M (x ; x ) \ ,6[b6K
*8/9 ¡œ¤‰Š’ ¡£’‘Ð= „-)16 M (x ; x ) .30 ~8-; ,6[b6*8/9 юžŠ’ ¡œ¤‰=
                                                                                                                1       2
                                                                                                                0       0


ˆ)*b0L,-\ .2)-1 .39;N / *,83-; M (x ; x ) [6L6*8/9 236b,*,0*;
                                           1           2
                                           0           0
                                                                    1       2
                                                                    0       0

                         A1 (x1 − x10 ) + A2 (x2 − x20 ) = 0.
¼/70 ` 0 ` · Lb* 36[70),* .39;*\ .30,6L7*|6}0* ,*1-8-3-;2 .2)12\
8- .3-0[b-7?,69 .39;69 .2)16 0;**8 236b,*,0* ‚Æaƒ .30 ,*1-8-3N λ 0 µ \
         1       2


.-~8-;2 236b,*,0* ‚Æaƒ · ~8- 236b,*,0* .2)16 .39;N =
   H2/8? 830 .39;* ` \ ` 0 ` \ /3*L0 1-8-3N 0;*J8/9 Lb* ,*.6367K
7*7?,*\ [6L6,\ /--8b*8/8b*,,-\ 236b,*,09;0† A x + A x + A = 0 \
                             1       2     3
                                                                                                1                   2

B x + B x + B = 0 0 C x + C x + C = 0 = “80 830 .39;* .30,6L7*K
                                                                                            1               2                   3


|68 ,*1-8-3-;2 .2)12\ 8- */8?\ .*3*/*16J8/9 b -L,-M 8-)1*\ 8-:L6 0 8-7?1-
     1           2                   1                 2
 1           2       3           1             2                    3


8-:L6\ 1-:L6 /-b;*/8,6 /0/8*;6 236b,*,0M
                             
                                                                                                                                        ‚Æ`ƒ
                                  1        2
                              A1 x + A2 x + A3 = 0
                               B1 x 1 + B2 x 2 + B3 = 0
                             
                             
                               C1 x1 + C2 x2 + C3 = 0 .
(/7-b0*; /-b;*/8,-/80 /0/8*; ‚Æ`ƒ 9b79*8/9 36b*,/8b- ,27J -.3*L*708*K
79 -/,-b,-M ;6830  ~8-M /0/8*;†
                                         A1 A2 A3
                                         B1 B2 B3 = 0.
                                         C1 C2 C3
   ¼/70 .39;* ` 0 ` / 236b,*,09;0 A x +A x +A = 0 0 B x +B x +         1               2                                   1           2

B = 0 .63677*7?, ‚,- ,* /-b.6L6J8ƒ\ 8- b/9169 .39;69\ 0;*J}69 236bK
                     1   2                                      1               2               3                   1               2


,*,0* ‚Æaƒ .30 ,*1-8-3N λ 0 µ \ .63677*7?,6 ` 0 ` = €* 832L,- .-16[68?\
 3

)8- b ~8-; /72)6* b/9169 .39;69\ .63677*7?,69 ` 0 ` \ ;-|*8 +8? [6L6,6             1

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