1103059607 | math4u.vsb.cz

SubArea:

Positional properties

Level:

Project ID:

1103059607

Accepted:

1

Clonable:

0

Easy:

0

Let

A B C D V

be a rectangle based-pyramid, where

V

is its apex, and let

X Y

be a line where:

\begin{aligned} X & lays on a ray B A and | B A | = | A X |, \\ Y & lays on the height S V and | S Y | = | Y V |, \\ S & is the centre of the pyramid base \end{aligned}

(see the picture). The points of intersection of the line

X Y

with the surface of the pyramid lay:

on the pyramid faces

A D V

and

B C V

on the pyramid faces

D C V

and

A B V

on the pyramid face

A D V

and its edge

C V

on the pyramid edges

A V

and

C V