56
“Maple” dasturida uchburchaklar
1)
ABC tomonlarining tenglamalarini;
2)AB va AC tomonlar orasidagi burchakni;
3)AD balandlik va uning uzunligini;
4)AM mediana va AN bissektirsani;
5)
ABC ni yuzasini hisoblang.
Echish:
Bu masala 2.1-masalaga aynan o„xshash(faqat koordinatalar soni bilan
farq qiladi) bo„lganligi uchun uni Maple 7 dasturida echishni ko„rsatamiz.
1
.
ABC tomonlarining tenglamalarini topish
;
> restart;
> with(geom3d):
> point(A,7,2,2), point(B,5,7,7), point(C,4,6,10):
Define the line that asses through two points A and B
> line(AB,[A,B]);line(AC,[A,C]);line(BC,[B,C]);
AB AC BC
> Equation(AB,t);Equation(AC,t);Equation(BC,t);
[ 7
K
2
t
, 2
C
5
t
, 2
C
5
t
]
[ 7
K
3
t
, 2
C
4
t
, 2
C
8
t
]
[ 5
K
t
, 7
K
t
, 7
C
3
t
]
AB va AC tomonlar orasidagi burchakni topish
;
> line(AB,[A,B]);line(AC,[A,C]);
AB AC
> FindAngle(AB, AC);
AD balandlik, kesishish nuqtasi va uning uzunligini topish
;
> with(geom3d):
Define triangle ABC with vertices A, B and C.
> triangle(ABC, [point(A,7,2,2),point(B,5,7,7), point(C,4,6,10)]):
Find the altitude of ABC at A
57
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