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14.5x − 3y + 1 = 0; x − 2y − 4 = 0; M 0; 32 ;
15.2x + y − 5 = 0; 8x − 3y + 15 = 0; M 52 ; 7 ;
16.8x − 3y + 16 = 0; 2x − 5y + 4 = 0; M 72 ; 9 ;
17.x − 5y − 10 = 0; 4x + 3y + 6 = 0; M 72 ; 1 ;
18. 2x − 3y + 17 = 0; 3x + 7y − 9 = 0; M |
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19.x − 3y − 7 = 0; 12x + 5y − 2 = 0; M 92 ; 6 ;
20.3x − 5y = 0; 7x + 4y = 0; M 3; 132 ;
21.2x − 11y + 9 = 0; 4x − 5y + 1 = 0; M 292 ; 5 ;
22.3x + 8y − 7 = 0; 9x − 2y + 31 = 0; M 6; 72 ;
23. 5x + 7y − 39 = 0; x + 3y − 19 = 0; M |
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24.3x − 4y + 18 = 0; x + 2y − 4 = 0; M 3; 112 ;
25.4x − 9y − 41 = 0; 2x + y + 7 = 0; M 132 ; 2 ;
26.2x + 13y + 12 = 0; 8x − 5y + 48 = 0; M 192 ; 2 ;
27.4x − 3y + 17 = 0; 2x + 5y − 11 = 0; M −32 ; 8 ;
28. |
x − 4y − 6 = 0; |
7x + 6y + 60 = 0; |
M 9; −2 |
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29. |
5x + 3y − 2 = 0; |
3x − 7y + 34 = 0; |
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30. 7x − 8y − 18 = 0; 5x + 4y + 26 = 0; M 4; 112 :
ZADANIE 18
CDANY URAWNENIQ DWUH STORON PARALLELOGRAMMA (AW) A1x+B1y+
1= 0 I (AD) A2x + B2y + C2 = 0 I TOˆKA E(x0 ; y0) – SEREDINA STO-
RONY (SD). NAJTI URAWNENIQ OSTALXNYH STORON PARALLELOGRAMMA:
1.8x − 3y + 16 = 0; 2x − 5y + 4 = 0; E 92 ; 6 ;
1 ; 5
2.x − 5y − 10 = 0; 4x + 3y + 6 = 0; E −2 2 ;
3. 2x − 3y + 17 = 0; 3x + 7y − 9 = 0; E 92 ; 1 ;
4. x − 3y − 7 = 0; 12x + 5y − 2 = 0; |
E(−1; 11); |
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5. 3x − 5y = 0; 7x + 4y = 0; E |
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6.2x − 11y + 9 = 0; 4x − 5y + 1 = 0; E 232 ; 6 ;
7.3x + 8y − 7 = 0; 9x − 2y + 31 = 0; E 3; 192 ;
8. 5x + 7y − 39 = 0; x + 3y − 19 = 0; E |
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9.3x − 4y + 18 = 0; x + 2y − 4 = 0; E 2; 72 ;
10.4x − 9y − 41 = 0; 2x + y + 7 = 0; E 12 ; 3 ;
11.2x + 13y + 12 = 0; 8x − 5y + 48 = 0; E 112 ; 7 ;
12.4x − 3y + 17 = 0; 2x + 5y − 11 = 0; E −112 ; 7 ;
13. |
x − 4y − 6 = 0; |
7x + 6y + 60 = 0; |
E 6; − 2 |
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14. |
5x + 3y − 2 = 0; |
3x − 7y + 34 = 0; |
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15.7x − 8y − 18 = 0; 5x + 4y + 26 = 0; E −2; 92 ;
16.x − 3y − 6 = 0; 5x + 9y + 42 = 0; E(9; −7);
17.3x + 2y + 17 = 0; 7x + y + 25 = 0; E(−4; −8);
18. |
x − 2 + 10 |
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y = 3; E(4; 4); |
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5x − 4y − 1 = 0; |
E(4; 10); |
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20. |
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2x + y − 3 = 0; |
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21.2x − 7y + 3 = 0; x − 5y + 3 = 0; E 12 ; 1 ;
22.3x + 2y − 22 = 0; 4x + 5y − 41 = 0; E 8; 52 ;
23. |
2x − y − 7 = 0; |
x + y − 2 = 0; E |
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24. |
5x − 2y − 24 = 0; |
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26. |
3x + 5y − 19 = 0; |
7x + 8y − 37 = 0; |
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27. |
2x + 3y + 5 = 0; |
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28.2x − 7y − 29 = 0; 2x + y + 11 = 0; E 32 ; −6 ;
29.2x − y + 4 = 0; 5x + 3y + 21 = 0; E(1; −5);
30.3x − 4y + 9 = 0; x + y − 4 = 0; E 4; 72 :
ZADANIE 19
DANY URAWNENIE STORONY (AW) A1x + B1y + C1 = 0 PARALLELOGRAMMA AWSD, URAWNENIE DIAGONALI (AS) A2x + B2y + C2 = 0 I SEREDINA E(x0 ; y0) STORONY (SD). NAJTI URAWNENIQ OSTALXNYH STO-
RON PARALLELOGRAMMA: |
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1. |
2x − y − 1 = 0; |
− 2 + 1 = 0; |
E(4; 1); |
2. |
x − y + 4 = 0; |
4x − 3y + 13 = 0; |
E(1; 6); |
24
3. 2 − + 4 = 0; x − y + 1 = 0; E(1; 3);
4.3x − y + 14 = 0; 3x − 7y + 26 = 0; E(2; 2);
5.x + 2y − 7 = 0; 3x + y − 16 = 0; E 7; 52 ;
6.2x − 3y + 10 = 0; x + 2y − 23 = 0; E 132 ; 10 ;
7.x − 2y = 0; x + y − 9 = 0; E 2; 112 ;
8. 3x + 2y − 21 = 0; |
y = 6; E 7; |
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10. |
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11. |
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E(13; 7); |
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12. |
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5x − 9y + 77 = 0; |
E −2 |
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14.4x − 3y − 7 = 0; 3x − 2y − 4 = 0; E 12 ; −1 ;
15.2x + 7y − 1 = 0; x − 12y + 15 = 0; E 112 ; 3 :
16. 5x + y + 13 = 0; |
x − 2y − 4 = 0; |
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17. x + 3y + 4 = 0; |
3x − 2y + 1 = 0; |
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18. |
3x − 2y − 1 = 0; |
4x − |
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19. |
3x + 5y + 10 = 0; |
x − |
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7x − 2y − 13 = 0; |
2x − 3y − 11 = 0; |
E 6; −2 |
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22. 3x − 8y − 30 = 0; 7x − 3y − 23 = 0; E 1; 52 ;
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23. 11x − 2y − 9 = 0; 4x + y − 5 = 0; E |
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24.4x − 9y + 11 = 0; x − y + 4 = 0; E −72 ; 3 ;
25.2x − 3y + 16 = 0; x + 8y − 30 = 0; E 92 ; 2 ;
26.3x + 8y − 23 = 0; 2x − y + 10 = 0; E −6; 152 ;
27. |
11x − 3y − 38 = 0; 5x − 8y − 77 = 0; |
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28. x + 4y + 5 = 0; |
x − 7y − 6 = 0; E 4; |
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29. |
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8x − 3y − 3 = 0; E |
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30. |
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ZADANIE 20
DANY URAWNENIE STORONY (AW) A1x + B1y + C1 = 0 PARALLELOGRAMMA AWSD, URAWNENIE DIAGONALI (AS) A2x + B2y + C2 = 0 I SEREDINA E(x0 ; y0) STORONY (WS). NAJTI URAWNENIQ OSTALXNYH STO-
RON PARALLELOGRAMMA: |
2 |
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1. 5x + y + 13 = 0; x − 2y − 4 = 0; E |
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2. x + 3y + 4 = 0; 3x − 2y + 1 = 0; E |
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3.3x − 2y − 1 = 0; 4x − 3y − 3 = 0; E 1; 12 ;
4.3x + 5y + 10 = 0; x − 13y + 18 = 0; E(4; 0);
5.x − 4y − 1 = 0; 4x − 3y + 9 = 0; E 52 ; 2 ;
6.7x − 2y − 13 = 0; 2x − 3y − 11 = 0; E 5; 52 ;
7.3x − 8y − 30 = 0; 7x − 3y − 23 = 0; E 152 ; 2 ;