Аналитическая геометрия. Часть I. Шурыгин В.В. - 91 стр.

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D
ρ
F = OK
L
D
ϕ
M
Φ
p
A ∈ Φ
−→
F A
δ = dist(F, D) p = δe e
p
p = b
2
/a
K D M
Φ L M
r M d M
d = |
−−→
LM| = (
−−→
LM, i) = (
−−→
LK +
−−→
KF +
−−→
F M, i) =
= 0 + δ + (re(ϕ), i) = δ + r cos ϕ.
d r = de
Φ
r = δe + re cos ϕ r(1 − e cos ϕ) = δe = p
ρ =
p
1 − e cos ϕ
.
J}0N/9 1 /-7,*),-M /0/8*;*\ 9b79J8/9 ~770./\ :0.*3+-7 0 .636+-7\ b
-L,-; 0[ O-12/-b 1-8-3N ,6N-L08/9 /-7, * ‚,*+*/,* 8*76 36//;6830b6K
J8/9 161 ;68*3067?,* 8-)10ƒ=
   H2/8? D · L03*1830/6\ /--8b*8/8K
b2J}69 O-12/2\ 36/.-7-|*,,-;2 b .-K        L
                                                          M
7J/* = ¹-167?,; .636;*83-; 130b-M
Φ ,6[b6*8/9 .-7-b0,6  O-167?,-M   N-3K                        ϕ

L\.*3.*,L012793,-M -/0 130b-M= ˆ+-K K                      F =O ρ
[,6)6*8/9 ~8-8 .636;*83 +21b-M p = ˆ)*K
b0L,-\ O-167?,M .636;*83 /-b.6L6*8
/ O-167?,; 36L02/-; 8-)10 A ∈ Φ             D
                                                     0/   ò_=
L79 1-8-3-M b*18-3 F A .*3.*,L01279K
                   −→                               Ç   =
3*, -/0 6+/ 0// 16,-,0)*/1-M /0/8*; 1--3L0,68= ˆ+-[,6)0; /0;b-7-;
δ = dist(F, D) 36//8-9,0* -8 O-12/6 L- L03*1830/\ 8-:L6 p = δe \ :L* e
· ~1/ *,830/08*8= { /72)6*) .636+-7 O-167?,M .636;*83 /-b.6L6*8 /
.636;*83-; p b ** 16,-,0 */1-; 236b,*,00\ 6 L79 ~770./6 0 :0.*3+-7
p = b /a =
   H2/8?\ L67**\ K · 8-)16 .*3*/*)*,09 .-793,-M -/0 0 L03*1830/ D \ M
     2



· .3-0[b-7?,69 8-)16 130b-M
                          )
                                                 )
                              Φ \ L · .3-*1 09 8- 10 M ,6 L03*1830/2\
r · O-167?,M 36L02/ 8- 10 M \ d · 36//8-9,0* -8 M L- L03*1830/ =
—;**;†
                                                                      ‚`òƒ
                −−→     −−→        −−→ −−→ −−→
           d = |LM | = (LM , i) = (LK + KF + F M , i) =
                               = 0 + δ + (re(ϕ), i) = δ + r cos ϕ.
H-L/86b799 b36|*,0* ‚`òƒ L79 d b 236b,*,0* r = de \ -L,-[,6),- ‚/ 8-),-K
/8?J L- 36/.-7-|*,09 ,6 .7-/1-/80ƒ -.3*L*79J}** 130b2J Φ \ .-72)6*;
                                                                   )
r = δe + re cos ϕ \ -812L6 r(1 − e cos ϕ) = δe = p = ˆ8/JL6 .-72 6*; 236bK
,*,0*\ [6L6J}** .30 /--8b*8/8b2J}0N [,6)*,09N ~1/ *,830/08*86 ~770./\
.636+-72 070 .36b2J b*8b? :0.*3+-7†
                               ρ=
                                         p
                                                .                     ‚`_ƒ
                                    1 − e cos ϕ



                                    ÙÜ

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