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Лабор практикум математика (Абрамов, Торопшина).doc

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4. Индивидуальные задания

Таблица 1

№ вар.	Задание	№ вар.	Задание
1	4x² + 9y² – 8x – 36y + 4 = 0 x² – 9y² + 2x + 36y – 44 = 0 2x² – 4x + 2y – 3 = 0	14	9x² + 4y² – 18x – 8y – 23 = 0 3x² – 2y² – 6x + 4y – 5 = 0 54x² + 8х – y + 7 = 0
2	36x² + 36y² – 36x – 24y – 23 = 0 4x² – 9y² + 6y – 1 = 0 x² – 2x + 2y – 3 = 0	15	4x² + 9y² + 16x + 18y – 11 = 0 3x² – 2y² + 6x + 4y – 5 = 0 у + 3х² – 6х + 5 = 0
3	16x² + 25y² – 32x + 50y – 359 = 0 x² – y² – 6x + 8 = 0 x² – 4x – y – 3 = 0	16	y² + 2x² + 4x + 2y + 1 = 0 2x² – 2y² + 4x – 4y – 2 = 0 x – y² – 3y – 4 = 0
4	x² + 4y² – 8y – 5 = 0 4x² – 9y² – 8x + 36y – 68 = 0 x² + 2x + y + 3 = 0	17	2x² + 2y² + 4x + 4y + 2 = 0 3x² + 6x – 2y² – 4y – 5 = 0 х – 5у² + 10у – 6 = 0

Продолжение табл. 1

№ вар.	Задание	№ вар.	Задание
5	x² + 9y² + 2x + 36y + 1 = 0 36x² – 36y² – 72x – 72y – 1 = 0 4x² – 2x – y + 2 = 0	18	3x² + 2y² + 6x + 4y – 1 = 0 x² – 2y² + 2x – 4y – 5 = 0 х + 2у² – 8у + 3 = 0
6	9x² + 4y² – 36x + 24y – 36 = 0 x² – 4y² – 8y – 5 = 0 x + 2y² – 4y + 3 = 0	19	x² + 2y² + 2x + 4y – 1 = 0 2x² – y² + 4x – 2y – 1 = 0 х² – 2х – 2у + 1 = 0
7	x² + y² + 6x – 1 = 0 4x² – y² – 8x + 4y – 1 = 0 2x + y² – 2y + 1 = 0	20	9x² + 4y² – 54x – 32y + 109 = 0 9x² – 4y² + 18x + 18y – 31 = 0 х² – 5х – у + 7 = 0
8	x² + y² – 6x – 10 = 0 x² – 4y² + 8y – 5 = 0 3x + y² – 2y + 3 = 0	21	9x² + 4y² – 36x + 24y + 36 = 0 4x² – 9y² – 8x = 32 у² + 2х + 6у – 1 = 0
9	4x² + 9y² – 8x – 36y + 4 = 0 16x² – 25y² – 32x + 50y – 409 = 0 x + 2y² – 6y + 4 = 0	22	4x² + 25y² – 8x + 96 = 0 4x² – 9y² + 16x + 54y – 101 = 0 у² + 6у + 2х + 19 = 0
10	4x² + 4y² + 6x + 4 = 0 9x² – y² + 36x + 2y – 1 = 0 2x + 2y² + 4y + 1 = 0	23	2x² + 3y² – 12x + 6y + 15 = 0 4y² – 8y – 9x² – 32 = 0 х² – 6х + 4у + 9 = 0
11	3x² – 6х + 2y² – 4y + 1 = 0 x² – y² + 2y – 3 = 0 x² + 2х – y + 4 = 0	24	9x² + y² – 2y + 10 = 0 x² + 2х – 4y² – 3 = 0 х² – 6х + у + 10 = 0
12	x² + y² – 6x + 10y – 15 = 0 4x² – 9y² – 8x – 36y – 68 = 0 2x² + 8х – y + 12 = 0	25	x² + 25y² + 10х = 0 9x² – y² + 2у – 10 = 0 у² + 6у + 4х + 13 = 0
13	3x² + 3y² – 4x + 9y + 4 = 0 x² – 4y² + 6x + 16y – 11 = 0 x² + 4х – 6y + 3 = 0	26	3x² + 2y² – 12х – 4у + 8 = 0 9x² – 16y² – 128у – 112 = 0 у² + 6у + 2х + 4 = 0

Таблица 2

№ вар.	А)	Б)	В)
1	16х² + 3у² = 48	х² – у² = 4	х² = –4у
2	9х² + 25у² = 225	х² – 18у² = 35	у² = –х
3	25х² + 6у² = 150	у² – х² = 9	у² = 3х
4	4х² + 5у² = 20	х² – 25у² = 25	х² = –8у
5	9х² + у² = 9	х² – у² = 16	х² = 9у
6	3х² + у² = 3	у² – 10х²= 10	у² = 5х
7	16х² + 5у² = 80	9у² – 4х² = 36	у² = –8х
8	9х² + 3у² = 27	у² – х² = 16	х² = 14у

Продолжение табл. 2

№ вар.	А)	Б)	В)
9	25х² + 7у² = 175	4х² – 16у² = 64	х² = –15у
10	х² + у² = 5	у² – 4х² = 4	у² = 8х
11	9х² + 21у² = 189	х² – 3у² = 3	у² = –2х
12	х² + 5у² = 5	у² – 6х² = 6	2х² = 3у
13	3х² + 8у² = 24	х² – у² = 1	7х² = –2у
14	х² + 9у² = 1	16х² – 9у² = 144	у² = 7х
15	25х² + у² = 1	у² – х² = 9	у² = –9х
16	16х² + 2у² = 32	9х² – 5у² = 45	х² = –7у
17	9х² + 4у² = 36	5х² – 4у² = 20	х² = у
18	16х² + 9у² = 144	у² – 5х² = 5	у² = 5х
19	9х² + 5у² = 45	х² – у² = 16	у² = –4х
20	4х² + у² = 4	4у² – 15х² = 60	х² = 6у
21	х² + 3у² = 3	7у² – 9х² = 63	х² = –у
22	16х² + у² = 16	3х² – 16у² = 48	у² = 4х
23	5х² + 9у² = 45	7х² – 16у² = 112	у² = –7х
24	4х² + 12у² = 1	16х² – у² = 64	2х² = 5у
25	81х² + 25у² = 1	9у² – х² = 81	3х² = –4у
26	7х² + у² = 7	4х² – 13у² = 52	3у² = –х

Таблица 3

№ вар.	Задание	№ вар.	Задание
1	9х² + 4у² – 54х – 32у + 109 = 0	14	2х² + 5у² + 8х – 10у – 17 = 0
2	3х² – 2у² + 6х + 4у – 5 = 0	15	4х² + 5у² + 20х – 30у + 10 = 0
3	2х² – 2у² + 4х – 4у – 2 = 0	16	9х² + 9у² + 42х – 54у – 95 = 0
4	4х² + 9у² + 16х + 18у – 11 = 0	17	8х² + 3у² – 16х + 12у – 4 = 0
5	9х² + 4у² – 18х – 8у – 23 = 0	18	6х² – 4у² + 36х + 16у + 2 = 0
6	4х² – 9у² – 8х + 36у – 68 = 0	19	2х² + 2у² – 6х + 10у – 17 = 0
7	3х² + 3у² – 6х + 9у + 4 = 0	20	5х² + 9у² – 30х + 18у + 9 = 0
8	3х² + 2у² – 6х – 4у + 1 = 0	21	2х² + 5у² + 8х – 10у – 17 = 0
9	36х² – 36у² – 72х – 72у – 1 = 0	22	16х² – 9у² – 64х – 54у – 161 = 0
10	16х² + 25у² – 32х + 50у – 359 = 0	23	2х² – 4у² + 4х – 8у – 10 = 0
11	4х² + 9у² – 8х – 36у + 4 = 0	24	4х² + 2у² + 8х + 4у – 2 = 0
12	16х² – 25у² – 32х + 50у – 409 = 0	25	5х² – 2у² + 20х + 4у + 8 = 0
13	4х² + 9у² + 32х – 54у + 109 = 0	26	7х² + 9у² + 14х + 36у – 20 = 0

Таблица 4

№ вар.	А)	Б)	В)
1	b = 15, F₁(–10; 0)	a = 13,	d: x = –4
2	A₂(4; 0),	b = 3,	d: y = –2
3	a = 4, F₂(3; 0)	c = 5 ,	d: x = 2
4	a = 11,	b = 2 , F₁(–11; 0)	d: y = –4
5	b = 2, F₂( ; 0)	a = 7,	d: x = 5
6	A₁(–5; 0),	a = 8,	d: y = 1
7	A₂(3; 0),	a = 5,	d: x = 6
8	b = 4, F₂(9; 0)	b = ,	d: y = 4
9	B₂(0; ),	a = 10,	d: x = 8
10	A₂(8; 0),	b = 3, F₂(7; 0)	d: y = –1
11	a = 12,	A₂( ; 0), M(– ; 1)	d: x = –2
12	b = 2,	a = 13,	d: y = 6
13	a = 6, F₁(–4; 0)	c = 6,	d: x = 1
14	A₂(8; 0),	b = 2, F₁( ; 0)	d: y = 5
15	b = 5,	c = 15,	d: x = 3
16	a = 9, F₂(7; 0)	A₂( ; 0),	d: y = 2

Продолжение табл. 4

№ вар.	А)	Б)	В)
17	B₂(0; 8),	a = 3,	d: x = 4
18	b = 7, F₂(5; 0)	a = 11,	d: y = –3
19	B₁(0; –2),	b = 6, F₂(12; 0)	d: x = –6
20	A₁(–6; 0),	a = 6,	d: y = 8
21	b = 5, F₁(–10; 0)	a = 9,	d: x = –5
22	a = 25,	b = , F₁(–7; 0)	d: y = 3
23	b = ,	A₂( ; 0),	d: x = –1
24	a = 13, F₁(–5; 0)	c = 9,	d: y = –6
25	A₁(–3; 0),	b = 4, F₁(–11; 0)	d: x = –3
26	b = 7, F₂(13; 0)	a = 6,	d: y = –5