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: Maple (Ó Waterloo Maple Inc.) , MapleV Release 4.
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: Maple (Ó Waterloo Maple Inc.) , MapleV Release 4.
. (1, y1, z1), B(x2, y2, z2), .
(, , z) l/m, :
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x = (x1 + x2)/2; y = (y1 + y2)/2; z = (z1 + z2)/2.
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5) (m )× = ×(m ) = m( × );
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10 × - 5 × + 6 × - 3 × = 10 ,
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× = 6 + 8 6 = 8:
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cosj =
. (3 - 2 )×(5 - 6 ),
|
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15 × - 18 × - 10 × + 12 × = 15
+ 12×36 = 240 336 + 432 = 672 336 = 336.
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× = 12 + 20 - 15 =17:
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= 10 +
+ 27 + 51 + 135 + 72 + 252 = 547.
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: Maple (Ó Waterloo Maple Inc.) , MapleV Release 4.
. (2, 2, 2), (4, 0, 3),
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. (1, -1) (1, 2).
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1×A + (-1)×B = 0, .. = .
: Ax + Ay + C = 0, x + y + C/A = 0.
= 1, = 2 /A = -3, .. :
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+ + = 0 , ,
xcosj + ysinj - p = 0
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, , j - , .
. 12 5 65 = 0. .
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:
; cosj = 12/13; sinj = -5/13; p = 5.
C , , , , .
. . , , 8 2.
: , a = b = 1; ab/2 = 8; a = 4; -4.
a = -4 .
: + 4 = 0.
. , (-2, -3) .
: , 1 = 1 = 0; x2 = -2; y2 = -3.
: , (-3, -4) .
: { x + 3 = 0; y + 4 = 0}.
.
. y = k1x + b1, y = k2x + b2,
.
, k1 = k2.
, k1 = -1/k2.
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. (0, 0), + + =0
.
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x1 1 :
, 0 .
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A(x x0) + B(y y0) + Ax0 + By0 + C = 0,
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(1), :
.
.
. : y = -3x + 7; y = 2x + 1.
K1 = -3; k2 = 2 tgj = ; j = p/4.
. , 3 5 + 7 = 0 10 + 6 3 = 0 .
: k1 = 3/5, k2 = -5/3, k1k2 = -1, , .
. (0; 1), B(6; 5), C(12; -1). , .
: ; 4x = 6y 6;
2x 3y + 3 = 0;
: Ax + By + C = 0 y = kx + b.
k = . y = . .. , : b = 17. : .
: 3x + 2y 34 = 0.
: x + y 6 = 0,
3x 5y + 15 = 0, 5x 3y 14 = 0. .
: , , , .
: { x y = 0; 5x + 3y 26 = 0; 3x + 5y 26 = 0}.
.