ǹ4. , (3,2), (5,-2) (5,2). .
5) (1,-2) (5,4) . , (-2,0) . .
6) 
. , .
7) , 0(-1,2,1)
) 
;
b) 3x-y-2z+1=0;
) 0 1(3,2,4).
1. d 1(1) 2(2) :
d = │2 1│.
2. d 1(1,1) 2(2,2) :
d = √(2 1)2 + (2 1)2.
3. d 1(1,1,z1) 2 (2,2,z2) :
d = √(2 1)2 + (2 1)2 + (z2 z1)2.
4. (,) , 1 (1,1) 2 (2,2) λ, .. │1│: │2│= λ, :
1+λ2
= ―――,
1 + λ
1+λ2
= ―――.
1 + λ
5. (,) 1 (11) 2 (2,2) :
1+2
= ―――,
1+2
= ―――.
6. :
- b:
= +b;
- ( ) (0, 0):
1 = (1 - 1);
- 1 (1,1) 2 (2,2):
1 1
―― = ――
2 1 2 1
2 1
( = ―――);
2 1
- :
― + ― = 1
b
( b , );
- :
+ + = 0.
7. d (0,0) + + = 0 :
│0 + 0 + │
d = ―――――――.
√ 2 + 2
8. (1) (2) = 1 +b1 = 2 +b2 1 + 1 + 1 = 0 2 + 2 + 2 = 0.
φ :
←
1 2
tg φ = ―――
1+12
(12 + 12)
s φ = ―――――――
√12+12 √22+22
:
1 1
1 = 2 ― = ―;
2 2
:
2 = - ― 12 + 12 = 0
1
:
= 1 +b1, 1 + 1 + 1 = 0,
= 2 +b2, 2 + 2 + 2 = 0.
1. :
|
|
|
2++2++F=0
2. R (0,0) (0,0) :
(-0)2+(-0)2=R2
X2+y2 =R2
3. :
2/a2+y2/b2=1
,b- : b2=a2-c2, F1(c;0) F2(c;0)- .
ε=/
(,) :
r1=a-εx, r2=a+ εx.
4.
2/a2-y2/b2=1
(,) :
r1=│a-εx│, r2=│a+ εx│
=b/a x
5. :
2=2
F(p/2;0) ( ):
R=x+p/2.
:
=-/2
6. = 2 ++ , , (-/2,-D/4A), D=2 4ї.
