y 2 16 x + 6 y 23 = 0 | |
X'O'Y' ( ). | (y')2 = 16 x' |
p = 8 | |
ε = 1 | |
(X,Y) (X',Y') |
X'O'Y' | XOY | |
O' | (0, 0) | (2, 3) |
F | (4, 0) | (2, 3) |
X'O'Y' | XOY | |
y' = 0 | y = 3 | |
x' = 4 | x' = 6 |
8. 7.5 .
. 7.5
3.
1. :
2 x 2 + 3 y 2 12 x + 6 y + 21 = 0.
2. A B = 2 3 > 0, (. 1, . 1.1), , , ( ), .
3. :
2(x 2 6 x + 9) + 3(y 2 + 2 y + 1) 18 3 +21 = 0;
2(x 3)2 + 3(y + 1)2 = 0.
(3, 1)
. , .
1. , . , (, , , ), , , (, , ) ( , , ) .
2. , : , , .
3. .
, , , , .
:
1. (. [1]). :
- ;
- ;
- , ();
- .
2. .
1. . : . . - ., , 1990, 687, . 88-100.
.
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, ()
ax 2 + by 2 + cz 2 + dxy + exz + fyz + gx + hy + kz + l = 0; (a 2 + b 2 + c 2 + d 2 + e 2 + f 2 ≠ 0) | (1) |
, (1), (), :
Ax 2 + By 2 + Cz 2 + Dx + Ey + Fz + G = 0; (A 2 + B 2 + C 2 ≠ 0) | (2) |
(2). , (2) , () , . 17 . 9; (, ) (, OZ). 9 , , , .
.
1.
(3) |
, . , XOY, XOZ YOZ, : OX, OY OZ O (0, 0, 0).
. . , , . , z = 0. .
2.
(4) |
, , . . , OZ XOY. (4) , , ( XOY) . , , . , , , , . , , .
3.
(5) |
, . . . , XOY, (5), , ; , XOY YOZ, , .
4.
|
|
(6) |
, (), () (), .
, (6) ( . (0,0,0)), , , , z = c. , (6) , . ( ): XOY ; , XOY, ; XOZ YOZ ; , XOZ YOZ, ; ( ). , , , .
, , .
5.
(7) |
: XOZ YOZ : OZ. . (7) , XOY ( XOY ); , XOY , , . XOZ YZ . (7) : (7) , , ( ), , , (7).
, .
6.
(8) |
, (XOZ YOZ) (OZ). , . . (8) Z x 2 = 2 pz, , YOZ y 2 = 2 pz, . . , , ( ) . , (8) XOY : .
, ( ), .
7. ,
, (), (), .
, , z, .. F (x, y) = 0. , (), OZ (), XOY , F (x, y) = 0.
, , y 2 = 2 pz
, : , XOY. , , , : (, Y, Z). (, Y). , z, , , Y , F (x, z) = 0 , OY, F (y, z) = 0 , X.
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