Координаты вершин многогранников

1. Куб со стороной

              Z                                                                  

                                                                                        

                                                                    

                                                                                  

                                                                     

                                              

      B                                C            y          

                                                                                  

A                                           D                                  

 x                                                                                

 

2. Прямоугольный параллелепипед с измерениями  

                   z

                                                                        

                                                                                          

                                                                  

                   B                                        C             

                                                                        y         

  A                                              D                                

                                                                                                

X                                                                                     

 

3. Правильная треугольная призма c стороной основания –  и высотой -

      

             Z                                                                                                                 

                                                                                               

                                                                                  

                                                                                           

                                                                                           

                                                                                    

         А                                             В       y                      

х              

                               C

4. Правильная четырехугольная призма с стороной основания –  и высотой -

                         z                                                    

                                                     

                                                                                    

                                                                  

                                                                                   

                                                                                  

                B                 C       y                

                                      

A                             D

   x                                                    

                     

 

 

 

5. Правильная шестиугольная призма  с стороной основания –  и высотой -

                          z                                                         

                                                                       

                                                              

                                                                  

                                                                                        

         B               C                                            

     A                  0            D       y                

                 E                 F

                       x

Если в задаче сказано, что все ребра многогранника равны, то их длины можно обозначить за единицу или за две единицы.

6. Правильная треугольная пирамида, у которой все ребра равны. Обозначим сторону основания и длину бокового ребра за 1.

z                                  S

                                                                                              

                         1                                                               

                               1                                                         

    A                                    H                       B           

                             O                                         y

                                                  1

 


                         C

X

                  

 

7. Правильная четырехугольная пирамида, у которой все ребра равны. Обозначим сторону основания и длину бокового ребра за 1.

                                                         z

                                               S

                                                   

                                                                  1                              

                                                                                                       

                                 B                                      C                  

                                                    O                          y            

                A                      1          D                           

                              x

                        

             

  8. Правильная шестиугольная пирамида, у которой сторона основания равна 1 и длина бокового ребра равна 2.

                                      z

                                    S                                                    

                                                                                                 

                                                                                           

                                                               2                                

                       B                      C                                          

     A                       O                                D      y       

                     F         H             E                                    

                                                                        

                                        x

           

=

 

9. Цилиндр, у которого радиус основания равен , а высота равна

 

 

 

 

10. Конус, у которого радиус основания равен , а высота равна

 

 

            

                

             

              

 



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