 À Ð È À Í Ò Û Ç À Ä À Í È ß 15
Date: 2015-10-07; view: 483.
 À Ð È À Í Ò Û Ç À Ä À Í È ß 14
1. 9y2 – 4x2 +18y –8x–31 = 0.
2.x2 + 2y – 4x + 6= 0.
3.4y2 + 9x2 + 36x = 0.
4. x2 + y2 + 2x + 4y + 1 = 0.
5.x2 –2x – 9y + 1 = 0.
6.x2 – 4x – 5 = 0.
7.y2 + 6y + 9 = 0.
8.4y2 – 25x2 + 8y – 96 = 0.
9.y2 +4x2 – 2y – 8x + 1 = 0.
10.y2 + 2y – 3 = 0.
11.x2 – 10x + 25 = 0.
12. x2 + 2x – 3y + 7 = 0.
13.9x2 – 4y2 – 36x + 16y–16 = 0.
14. x2 + y2 – 4x – 2y – 4 = 0.
15.x2 – 8x + 16 = 0.
16.9y2 + x2 – 2x – 8 = 0.
17.x2 – 12x + 20 = 0.
18.x2 + y2 –8x + 4y + 20 = 0.
19.y2 + 8y + 15 = 0.
20.y2 – 9x2 + 6y + 36x – 27 = 0.
21.x2 + y2 – 6x – 6y + 17 = 0.
22.y2 + 2y – 4x – 10 = 0.
23.y2 – 4y + x + 8 = 0.
24.4x2 + 9y2+8x+18y–23 = 0.
25.x2 – 10x + 25 = 0.
26.4ó2 – 9õ2 + 8y –18x – 5 = 0.
27.16x2–25y2+64x–50y–361=0.
28.4y2 – x2 + 8y –2x + 3 = 0.
29.y2 + 6y + x + 9 = 0.
30.x2 – y2 +8y – 16 = 0.
Çàäàíèå 15.
Ïîñòðîèòü äàííûå ëèíèè â ïðÿìîóãîëüíîé ñèñòåìå êîîðäèíàò è çàøòðèõîâàòü îãðàíè÷åííûå èìè îáëàñòè.
1.x2 = (y + 1); 5x + 2y – 10 = 0; y = 
.
2. 
2x + 3y – 12 = 0; 2x – 3y + 12 = 0.
3. 
x2 = y; 2x –3y + 15 = 0.
4. x2 = –y; (x – 4)2 = –y; y = 0.
5. y = 
x – y = 0; x = 4.
6. (y - 2)2 = x; (x –4)2 + (ó + 4)2 = 16; x = 4.
7. 
x2 – y2 = 1; x + 5 = 0.
8. (x – 2)2 + y2 = 4; y2 = – (x – 2); x = –2.
9. 
x – 3y - 9 = 0; y = –1.
10. y2 = – (x – 2); (x – 2)2 = y; x – 1 = 0.
11. x2 = – (y – 4); 2x – y – 4 = 0; y – 4 = 0.
12. y = – x – 2 = 0; 3x + 4y = 12.
13. (y + 2)2 = – x; x = 0; y – 1 = 0.
14. x2 = – (y – 2); x2 = y + 2;y – 4 = 0.
15. (x – 5)2 + (y – 2)2 = 1; (y – 5)2 = (x – 5)2; y = 0.
16. 
17. y = x – 5 = 0; y – 4 = 0.
18. (x + 3)2 = –(y – 2); 7x + 3y + 21 = 0; x - 3y - 21 = 0.
19. (y – 6)2 = x; y2 = x; x = 0.
20. (y – 1)2 = x + 1; x + 1 = 0; 4x + 3y – 11 = 0.
21. y2 = x; (y – 1)2 = –(x – 4); x + 2 = 0.
22. 
(x – 4)2 + y2 = 1; x – 6 = 0.
23. 
(x – 1)2 + y2 = 1; x = 0.
24. y2 = –(x+1); y2 = x+3; x – 2 = 0.
25. x2 = y; x2 + (y–3)2 = 1; y – 3,5 = 0.
26. x2 + y2 = 4; x2 + (y–6)2 = 4; x2 = 4.
27. (x – 2)2 = y – 2; (x – 2)2 = y + 2; (x – 2)2 = 2.
28. y2 = x + 4; x – 3y + 6 = 0; x + 3y + 6 = 0.
29. y = – x2 = y – 3; y – 3 = 0.
30. x2 = 9;
Çàäàíèå 16.
Ïîñòðîèòü ëèíèþ â ïîëÿðíîé ñèñòåìå êîîðäèíàò.
| <== previous lecture | | | next lecture ==> |
| Â À Ð È À Í Ò Û Ç À Ä À Í È ß 13 | | | Ïîâåðõíîñòè âòîðîãî ïîðÿäêà |