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2005
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, 2005 ., 112 .
ISBN 966-630-076-1
ISBN 966-630-076-1 .., 2005
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. 4
1. 6
1. 16
2. 23
2. 24
3. 32
3. 37
4. 54
4. 55
5. 61
5. 62
6. 71
6. 72
7. 78
7. 82
8. 86
` 8. 88
9. 92
9. 95
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1
1.
1. , ( ).
2. Q(-2,-9),
2x + 5y 38 = 0.
3. ,
2x + y 2 = 0 x 5y 23 = 0 ,
(5,6), (1,4).
4. , :
,
5.
6. (0, 1, -2) (2, 1, 0) 3x y + 2z = 0.
7. ,
2x y +17 = 0.
8. (3, 0); (-3, 0) - e = 2.
9. :
2x2 + 4y2 z2 + 8x + 8y 5 = 0.
10. ¢ x2 2y2 = 4.
2.
1. , ( ).
2. 3x 4y + 10 = 0 i 6x 8y + 15 = 0.
3. , (-2, 5) 5 + 7 = 0.
4. :
5.
6.
+ 4 3z + 7 = 0.
7. 32 + 82 = 45, 3.
8. ,
e =.
9. :
x2 + y2 + 3z2 6z + 3 = 0.
10.¢ 2x2 + 4y2 = 8.
3.
1. , ( ).
2. 2 5 1 = 0 + 4 7 = 0 , (4, -3); (-1, 2) l = 2: 3.
3. BD , (4, 1);
(7, 5); (-4, 7).
4. (1, 2, -1) ,
90.
5.
6. , 2x y + 5z + 3 = 0 x + 3y z 7 = 0.
7. , .
8. , 32 e = 0,5.
9. :
x2 + 5y2 + z2 2 + 20 2z 3 = 0.
10. ¢ 22 6z = 0.
4.
1. , . , ( ).
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2. ³ 1 = 0
2 = 0 (3, -1). .
3. (2, 3) (1, -1). , 3- 4 .
4. (4, 0, -1) , :
.
5. .
6. ,
.
7. 2 = 28, 6 + 1 = 0.
8. , .
9.
2x2 4y2 5z2 + x 8 + 10z 8 = 0.
10. ¢ 6x2 4y2 = 0.
5.
1. , , ¢ , ( ).
2. , (-4, 2) 3 2 + 2 = 0 3 + 5 12 = 0.
3. 5 , 8 + 5 39 = 0, = 2.
4. (1, 2, -3)
5.
6. , (3, 1, -2)
.
7.
+ 7 = 0.
8. ,
.
9. :
3x2 + 4y2 3z2 6 + 8 9z 1 = 0.
10. ¢ 32 62 = 12.
6.
1. , , ( ).
2. ³ : 1 = 0;
2 = 0 (3, -1). .
3. (2, -4) + y 2 = 0 3 6 = 0.
4. ,
.
5. .
6. ,
7 + 2z 5 = 0.
7. 42 2 = 4,
10 + 3 = 0.
8. , (1, 2) = (3, 3).
9. :
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2x2 3y2 + 5z2 4x 6y + 10z 2 = 0.
10.¢ 5x2 6z2 = 30.
7.
1. b , . , .
2. 2 5 1 = 0 + 4 7 = 0 , (4, 3) (-1, 2) l = 2: 3.
3. , (-4, 2) 3 2 + 2 = 0 3 + 5 12 = 0.
4. (4, 0, -1) , :
.
5. (3, 5, -1) .
6. , (7, 6, -1)
2 + 4 z +17 = 0.
7. ,
- .
8. (2, -1) ,
2 +2 8 4+19 = 0 , .
9. :
22 42 + 6 + 8 10z 5 = 0.
10. ¢ :
42 32 + 5z2 6 = 0
8.
1. 1, 1, 1. , 1 + 1 + 1 = 0.
2. 3 2 + 6 = 0 3 + 5 = 0, .
3. , (0, -1), (4, 4) (2, 0) .
4. 3 6 2z + 14 = 0 , .
5. :
.
6. 2 = 4,
+ = 0 .
7. (-2, 3) . - .
1.
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2. :
32 8 + 6z2 3z + 2 1 = 0.
10. ' : 32 4z2 = 12.
9.
1. = a, = b. b.
2. (1, -2); (4, 2);
(13, 3). , .
3. , 2 + 2 = 0 5 23 = 0 , (5, -6);
(-1, 4).
4. ,
.
5. ,
12 9 + 20z 1 = 0 16 +12 15z + 2 = 0.
6. (1, 2, -3) , .
7. , (0, 1) 22 2 = 1.
8. 2 = 4, (3, 1) .
9. :
32 + 6 + 32 12 + 3z2 15z 5 = 0.
10.' : 32 z2 = 5.
10.
1. ABCD = b; = ; AD = d. , DM BCD, , BCD.
2. , 2 2 = 0 4 + 3 12 = 0 .
3. (1, -1) , + 2 1 = 0 + 2 3 = 0 1 = 0.
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4. , (2, 0, 0); (0, 3, 0);
(0, 0, 6) (3, -1, 5) .
5. (1, 0, 1) , 2 + 2z 1 = 0 2 4 + 4z 3 = 0
1: 2 .
6. , (3, 1) 32 + 2 = 7 (1, 2).
7. ,
.
8. ,
.
9. :
22 8 + 3 4z + 12z2 3 = 0.
10. ' :
52 6 + 15 = 0.
1
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2.
, Q(3,7)
3x-4y+10=0
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1) :
2) :
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3) :
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3.
3x-4y+5=0 6x-8y-13=0
, . (1,2); . ;
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4.
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1.
2. :
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5.
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d- .
6.
, 2x-3y+5z-1=0.
, - . , :
A(x-3)+B(y+1)+C(z-1)=0
,
2-3+5=0