Аналитическая геометрия. Шурыгин В.В. - 61 стр.

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E
3
`
1
`
2
S
α ∈ (0,
π
2
) `
1
`
2
`
1
`
2
e
Φ
E
3
`
1
e
Φ
S
e
Φ
S
`
2
e
Φ
Φ =
e
Φ ∩ π
e
Φ
π S
Φ π
Φ ⊂ π
β ∈ [0,
π
2
]
π
β > α
β = α β < α
β > α
β =
π
2
Φ =
e
Φ ∩ π
β <
π
2
e
Φ
Σ
1
Σ
2
π Σ
1
Σ
2
π
F
1
F
2
Σ
1
Σ
2
e
Φ
ω
1
ω
2
ρ
1
ρ
2
D
1
D
2
π ρ
1
ρ
2
M Φ
A
1
A
2
SM ω
1
ω
2
C
1
C
2
M D
1
D
2
P
1
P
2
M ρ
1
ρ
2
*      hkp+eofpe oe+ekp '
Ç6//;-830;Hb E Lb* .39;* ` 0 ` \ .*3*/*16J}0*/9 b 8-)1* S .-L 2:7-;
α ∈ (0, ) = 39;2J ` [6O01/032*;\ 6 .39;2J ` +2L*; b36}68? b-132:
                         3                   1   2

    H
         π

` = 30 ~8-; .39;69 ` -.0I*8 .-b*3N,-/8? Φ   e b E \ ,6[b6*;2J ‰ŠœŠ’=
         2                   1                                                        2

H39;69 ` 9b79*8/9 -/?J /0;;*8300 1-,2/6 Φe 0 ,6[b6*8/9 ŠŸÀ ~8-:- 1-K
1                            2                                                        3


,2/6= „-)16 S ,6[b6*8/9 b*3I0,-M 1-,2/6= P-,2/ Φe .3*L/86b79*8 /-+-M
             1


-+*L0,*,0* .39;N\ .3-N-L9}0N )*3*[ b*3I0,2 S \ .-72)6J}0N/9 .-b-K
3-8-; ,6)67?,-M .39;-M ` = P6|L69 .39;69 ~8-:- /*;*M/8b6 ,6[b6*8/9
‚.39;-70,*M,-Mƒ Š¬¢œÀ«Ž¦ 1-,2/6 Φe =
                                     2


    °,-|*/8b- Φ =) Φe ∩ π \ .- 1-8-3-;2 1-,2/ Φe .*3*/*16*8/9 .7-/1-/8?J
π \ ,* .3-N-L9}*M *3*[ *:- b*3I0,2 S \ ,6[b6*8/9 ‰ŠŒ¤Ž‰Œ’ Ž¤ŽŒŽ’=
P-,0)*/1-* /*)*,0* Φ 9b79*8/9 .-L;,-|*/8b-; .7-/1-/80 π = {9/,0;\ )8-
.3*L/86b79*8 /-+-M ~8- .-L;,-|*/8b- Φ ⊂ π =
    ˆ+-[,6)0; )*3*[ β ∈ [0, ] 2:-7 ;*|L2 .7-/1-/8?J π 0)-/?J 1-,2/6=
                                         π

Ç6//;-830;Æ .- -8L*7?,-/80 /7*L2J}0* 830 b-[;-|,N /72 69† •ƒ β > α \
                                         2


]ƒ β = α \ ƒ β < α =
    s™SñÍÌ rø β > α Z
    H30 β = 1-,0)*/1-* /*)*,0* Φ = Φe ∩ π .3*L/86b79*8 /-+-M -132|K
,-/8?= ‡67** +2L*; .3*L.-76:68?\ )8- β < = ˆ/2}*/8b0; /7*L2J}0* .-K
                     π
                     2


/83-*,09 ‚/;= 30/= Æ`ƒ= {.0I*; b 1-,2/ Φe Lb* /O*3 Σ 0 Σ \ 16/6J}0*K
                                                                  π
                                                                  2


/9 .7-/1-/80 π = „-)10 16/6,09 /O*3 Σ 0 Σ / .7-/1-/8?J π -+-[,6)0;\                           1           2


/--8b*8/8b*,,-\ )*3*[ F 0 F = P6|L69 0[ /O*3 Σ 0 Σ 16/6*8/9 1-,2K
                                                          1           2


/6 Φe .- -132|,-/80\ 7*|6}*M b .7-/1-/80\ .*3.*,L012793,-M -/0 1-,2/6=
                                 1           2                                            1       2


ˆ+-[,6)0; 216[6,,* -132|,-/80
                           )
                                    )*3*[ ω 0 ω \ 6 .7-/1-/80 )*3*[ ρ 0
                                      )
ρ /--8b*8/8b*,,- = ˆ+-[,6 0; 861|* *3*[ D 0 D .39;*\ .- 1-8-3;
                                                                  1               2                                   1


.7-/1-/8? π .*3*/*16*8\ /--8b*8/8b*,,-\ .7-/1-/80 ρ 0 ρ =
 2                                                                        1               2

    H2/8? M · .3-0[b-7?,69 8-)16 1-,0)*/1-:- /*)*,09 Φ = ˆ+-[,6)0; )*K                    1       2


3*[ A 0 A 8-)10 .*3*/*)*,09 -+36[2J}*M SM / -132|,-/89;0 ω 0 ω
/--8b*8/8b*,,- = ˆ+-[,6)0; [68*; )*3*[ C 0 C -/,-b6,09 .*3.*,L01279K
     1           2                                                                                                1       2


3-b\ -.2}*,,N 0[ 8-)10 M ,6 .39;* D 0 D \ 6 )*3*[ P 0 P -/,-b6,09
                                                              1               2


.*3.*,L012793-b\ -.2}*,,N 0[ 8-)10 M ,6 .7-/1-/80 ρ 0 ρ =    1           2

                                                                                                  1
                                                                                                      1       2

                                                                                                              2




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