Level:
Project ID:
1103059607
Accepted:
1
Clonable:
0
Easy:
0
Let \( ABCDV \) be a rectangle based-pyramid, where \( V \) is its apex, and let \( XY \) be a line where:
\begin{align*}
X&\text{ lays on a ray }BA\text{ and }|BA|=|AX|,\\
Y&\text{ lays on the height }SV\text{ and }|SY|=|YV|,\\
S&\text{ is the centre of the pyramid base}
\end{align*}
(see the picture). The points of intersection of the line \( XY \) with the surface of the pyramid lay:
on the pyramid faces \( ADV \) and \( BCV \)
on the pyramid faces \( DCV \) and \( ABV \)
on the pyramid face \( ADV \) and its edge \( CV \)
on the pyramid edges \( AV \) and \( CV \)