|
>with(plots):
>implicitplot(y=x^2+2/x-x^3, x=-2..2,y=-6..6,color=bluee,thickness=3);
12) Aylana, urinma va kesishuvchi chiziqlarni qurish:
> restart;
> with(plots):
> imlicitplot([-8+x^2+y^2+8*x+2*y = 0, -x+y=1,-9+3*x+4*y = 0], x=-
10..4, y=-7..5, color=[blue, red,red], legend=[plot1,plot2,plot2]);
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
> altitude(hA1,A,ABC);
hA1
> form(hA1);
lint3d
> detail(hA1);
name of the object: hA1
form of the object: line3d
equation of the line: [_x = 7-10/11*_t, _y = 2+67/11*_t, _z = 2+19/11*_t]
> altitude(hA1,A,ABC,H);
hA1
> coordinates(H);
11
41
,
11
89
,
11
67
> form(hA1);
segment3d
> detail(hA1);
name of the object: hA1
form of the object: segment3d
the 2 ends of the segment: [[7, 2, 2], [67/11, 89/11,
41/11]]
> DefinedAs(hA1);
[ A, H ]
> distance(A,H);
15
11
22
ABC ni yuzasini hisoblash.
> 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 area of ABC
> area(ABC);
15
2
2
> centroid(G,ABC);
G
> coordinates(G);
3
19
,
5
,
3
16
58
ABC ni qurinsh.
> with(geom3d):
> triangle(T1,[point(A,7,2,2),point(B,1,7,3), point(C,4,6,10)]):
> draw([T1(color=blue)], title=`Screw-dislacement of a triangle`,
style=patch);
59
Foydalanilgan adabiyotlar
1. Dyakonov V.P. Maple 6: uchebniyy kurs. SPb.: Piter, 2001.
2. Dyakonov V.P. Matematicheskaya sistema Maple V R3/R4/R5. M.: Solon,
1998.
3. Manzon B.M. Maple V Power Edition. M.: Filin‟, 1998.
4. Govoruxin V.N., Sibulin V.G. Vvedeniye v Maple V. Matematicheskiy
paket dlya vsex. M.: Mir, 1997.
5. Proxorov G.V., Ledenev M.A., Kolbeyev V.V. Paket simvolnix vichisleniy
Maple V. M.: Petit, 1997.
6. Bugrov Ya.S., Nikolskiy S.M. Elementiy lineynoy algebri i analiticheskoy
geometrii. M.: Nauka. 1989.
7. Bugrov Ya.S., Nikolskiy S.M. Differensialnoye i integralnoye ischisleniye.
M.: Nauka. 1989.
8. Bugrov Ya.S., Nikolskiy S.M. Zadachnik. M.: Nauka. 1987.
9. Ilin V.A., Poznyak E.G. Analiticheskaya geometriya. M.: Nauka. 1970.
10. Ilin V.A., Poznyak E.G. Lineynaya algebra. M.: Nauka. 1970.
11. Nikolskiy S.M. Kurs matematicheskogo analiza (2 t.). M.: Nauka,1991.
12. Elsgols L.E. Differensialniyye uravneniya i variasionnoye ischisleniye. M.:
Editorial, 2000.
13. Eshtemirov S., Aminov I.B. , Nomozov F. Maple muhitida ishlash asoslari.
Uslubiy qo‟llanma. –SamDU, Samarqand, 2009 y.
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