Аналитическая геометрия. Шурыгин В.В. - 50 стр.

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r
0
M
0
r
M ∈ A
2
{O; e
1
, e
2
} = {O; e
i
} i = 1, 2
M
0 a M
O
M ∈ ` ⇐⇒
−−−→
M
0
M ∈ V
1
(`) ⇐⇒
−−−→
M
0
M = ta
t ∈ R ⇐⇒ r −r
0
= ta
r = r
0
+ ta ⇐⇒ x
i
= x
i
0
+ ta
i
, i = 1, 2.
t
M {M
0
; a} `
t
x
1
− x
1
0
a
1
=
x
2
− x
2
0
a
2
.
`
r − r
0
ta
x
1
− x
1
0
x
2
− x
2
0
a
1
a
2
= 0.
a
2
(x
1
−x
1
0
) −a
1
(x
2
−
x
2
0
) = 0
`
A
1
x
1
+ A
2
x
2
+ A
3
= 0,
A
1
= a
2
A
2
= −a
1
`
(36) (A
2
1
+ A
2
2
6= 0)
A
2
a = {−A
2
; A
1
}
   H2/8? r · 36L02/Kb*18-3 8-)10 M \ 6 r · 36L02/Kb*18-3 .3-0[b-7?,-M
8-)10 M ∈ A .- -8,-I*,0J 1 3*.*32 {O; e , e } = {O; e } \ i = 1, 2 =
           0

               2
                                                            0

                                                                         1   2               i

                           M0                       a                        M




                                 O
                                        Ç0/= ÆÆ=
—;**;† M             −−−→                                      L79 ,*1-8-3-:-−−−→

                               = ˆ8/JL6 .-72)6*; 236b,*,09 .39;-M\ ,6[b6*;*
        ∈ ` ⇐⇒ M0 M ∈ V1 (`) ⇐⇒                                              M0 M = ta
t ∈ R ⇐⇒ r − r0 = ta
¡’ŽžŒ¤Ž‰Œ’Œ†
                       r = r0 + ta ⇐⇒ xi = xi0 + tai , i = 1, 2.    ‚Æڃ
ˆ8;*80;\ )8- b 236b,*,09N ‚Æڃ .636;*83 t .3*L/86b79*8 /-+-M 1--3L0,682
8-)10 M b 3*.*3* {M ; a} ,6 .39;-M ` =
   —/17J)69 .636;*83 t 0[ 236b,*,0M ‚Æڃ\ .-72)6*; 861 ,6[b6*;-* ‰º
                           0


ŠŒ¤Ž‰ŠŽ 236b,*,0* .39;-M
                                   x1 − x10   x2 − x20
                                            =          .
  (36b,*,0* .39;-M ` ;-|,- .-72)08? 861|*\ [6.0/b69 2/7-b09 70,*MK
                                      a1         a2

,-M [6b0/0;-/80 b*18-3-b r − r 0 ta †       0

                         x −x x −x 1
                                       = 0.
                                                1
                                                0
                                                        2
                                                               ‚Æòƒ
                                                                 2
                                                                 0
                                       a1                   a2

Ç6/13b69   -.3*L*708*7? b 236b,*,00 ‚Æòƒ\ .-72)6*; a (x − x ) − a (x −
         )
                                                                                     2       1       1   1   2

x ) = 0 \ 8- .-[b-79*8 [6L68? .39;2J ` 236b,*,0*; .*3b-M /8*.*,0
                                                                                                     0
 2
 0

                                       1
                          A x + A x + A = 0,
                                  1                 2
                                                        2            ‚Æ_ƒ
                                                                     3

:L* A = a \ A = −a = (36b,*,0* ‚Æ_ƒ ,6[b6J8 Š¬«Œ’ œ”ŽŒŽ’ ¡£º
           2               1
’Š¦ ` =
     1             2


   ˜Txw™ušxXWxZ ”ŽŒŽ ¡Ž”Š¦ žŽ¡ŽŒ (36) (A + A 6= 0) ¢ªŽž                    2           2

¡£’œÀ  A  ¡”‹£À«Œ’ ”Ž‰žŠŠ’ a = {−A ; A } =
                                                                                     1           2
               2                                                                 2       1
                                   ¾Ý

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