Аналитическая геометрия. Часть I. Шурыгин В.В. - 81 стр.

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t
t
1
t
2
M
1
(x
1
= x
0
+lt
1
; y
1
= y
0
+mt
1
) M
2
(x
2
= x
0
+lt
2
; y
2
= y
0
+mt
2
)
Φ `
M
1
M
2
` Φ
`
A M
1
M
2
t t
A
= (t
1
+ t
2
)/2
M
1
M
2
A
u
D(u)
M
0
(x
0
; y
0
) `
M
0
= A t
A
= 0 t
1
+ t
2
= 0
t (79)
lx
A
a
2
±
my
A
b
2
= 0.
M
1
M
2
M
1
M
2
u = {l; m}
u = {l; m}
lx
a
2
±
my
b
2
= 0.
Φ
D(u) (82)
Φ
1b6L368,-* 236b,*,0* -8,-/08*7?,- t \ 8- ~8- 236b,*,0* 0;**8 Lb6 b*}*K
/8b*,,N 3*I*,09 t 0 t = H-L/86b799 ~80 3*I*,09 b ‚ããƒ\ ,6ML*; Lb* -+K
}0* 8-)10 M (x = x + lt ; y = y + mt ) 0 M (x = x + lt ; y = y + mt )
                              1           2


130b-M Φ 0 .39;-M ` =
                  1       1       0           1       1       0       1       2   2       0       2   2   0      2


   ϳTxwx™xXWxZ ¿žŽ¢Š‰ M M ¡£’Š¦ ` ¢‘”Žž£ Њ ªŠ¦ ‰Œ”Š¦ Φ §
3 Š ªŠ¦ ¢‘”Àž ž‰»Ž Œ ”À ¡£’œÀ ` §              1   2



   „-)16 A \ 9b79J}69/9 /*3*L0,-M N-3L M M \ /--8b*8/8b2*8 [,6)*,0J
.636;*836 t \ 36b,-;2 t = (t + t )/2 =A               1       2
                                                                              1   2




              M2


              A
                                                                  u
 M1
                                                                                                          D(u)

                              Ç0/= Úa=
                                   )
M (x ; y ) · ~8- .3-0[b-7?,69 8- 16 .39;-M ` =
                                                { )6/8,-/80\ ; ;-|*;
.-7-|08? M = A = „-:L6 t = 0 0\ /7*L-b68*7?,-\ t + t = 0 = H- 8*-3*;*
  0   0   0

{0*86 b ~8-; /72)6* 1-~OO0 0*,8 .30 t b 1b6L368,-; 236b,*,00 (79) 36b*,
                  0                               A                                   1       2


,27J†
                             lx
                                 ±
                                     my
                                         = 0.
                                                          A         ‚a•ƒ
                                                                      A

—861\ 1--3L0,68 /*3*L0, N-3L
                              a
                                     M M 2L-b7*8b-39J8 236b,*,0J ‚a •ƒ =
                                      b                   2       2


H-/1-7?12 M M · ~8- .3-0[b-7?,69 N-3L6\ 0;*J}69 L6,,-* ,*6/0;.K   1       2


8-80)*/1-* ,6.36b7*,0* u = {l; m} ‚; -+-[,6)6*; ,6.36b7*,09 .3*LK
                      1   2


/86b79J}0;0 0N b*18-36;0ƒ\ 8- ;,-|*/8b- /*3*L0, b/*N N-3L\ 0;*J}0N
,6.36b7*,0* u = {l; m} \ 2L-b7*8b-39*8 236b,*,0J
                               lx my
                                 ±      = 0.              2       2
                                                                    ‚a]ƒ
(36b,*,0*; ‚a]ƒ [6L6*8/9 ,*1-8-369 .39;69\ .3-N-L9}69 )*3*[ *,83 130K
                               a     b

b-M Φ =
   ϳTxwx™xXWxZ ›£’£ D(u) ¥ Œ’ŽÀ«£ œ”ŽŒŽ (82) ¥ ¢‘”Žž£ ªŒº
’ŽžŠ’ ‰Œ”Š¦ Φ ¥ Š¡£»Ž‘’ Њ ª’ ªŠ©Š ŽŒ’¡žŠžŒ¤Ž‰Š©Š º
                                     ÔÜ

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