1 2+ 2 = 49, (1;2) .
. + 2 -5 = 0.
2. :
) 2+ 2 - 8 + 6 = 0; ) 2+ 2+10 - 4 +29 = 0;
) 2+ 2- 4 +14 + 54 = 0.
: ) = 4, b =-3, r = 5; ) = -5, b = 2, r =0. ;
) =2, b =-7, r 2=-1. (, ).
3.
2+ 2+4 -6 =0, .
: tgφ=-2,4.
4. , (1; 2), (0;-1), (-3; 0).
: ( +1)2+( -1)2=5.
5. , (7; 7) (-2; 4), ,
2 - -2=0.
: ( - ) 2+( -4)2=25.
6. 2+ 2=16 ( -5)2 + 2 = 9.
: =3,2.
7. , .
: 4 +3 +12= 0.
8. +5=0 , .
: (5; 7).
9. , , , F 1 (0; 0) F 2 (1; 1) , 2.
: 2 + 2 - 2 - 2 - 2 - 1 == 0.
10. , (0; 1) 4=0.
: .
.
16. : ,
.
, , , ( 2), . F 1(; 0) F 2(-;0), ,
b 2= c 2- a 2;
() . . 1(;0) 2(- ;0) .
1 2=2 , 1 2=2 b (. 15).
, (; ) →+∞ →-∞. , . =,
= - , =b, =-b. , , . . ε .
=b,
2- 2 = a 2.
.
|
|
( )
, 2 b.
; , . .
16.1. . , (; ).
. , 2=2 2. 2 = 2+ b 2, , 2 + b 2 = 2 2, 2= b 2, . . .
, 2- 2=1.
.
, , , , . , - (,0),
= . (16.1)
(.6, 0).
(16.2)
, . p> 0 (16.1) (16.2) , p< 0 - . - .
16.2. , , , , , 16, 6.
. , , , - , . ; , , , .
, .
16.3. , .
. , . , (0;0) (2;2p).
., .