Maple paketining asosiy maqsadi va

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

• 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);
  

⁶⁷ _, ⁸⁹ _, ⁴¹

^_11 11 11^_

• 
  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
 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

• centroid(G,ABC); G

• 
  coordinates(G);
  

¹⁶ _{, 5,} ¹⁹ 



_{ 3 3} _

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);