Project ID:
5000000069
Accepted:
Template:
Question:
\vspace{-2em}
\begin{minipage}{0.6\linewidth}
The cube $ABCDEFGH$ shown in the picture has edges of length $a$. Find the angle between:
\end{minipage}
\hfill
\begin{minipage}{0.3\linewidth}
\obrA
\end{minipage}
\vspace{-2em}
Question Row 1:
\ifen the lines $BE$ and $CH$: \fi \ifcs přímkami $BE$ a $CH$: \fi \ifpl prostymi $BE$ i $CH$: \fi \ifsk priamkami $BE$ a $CH$: \fi \ifes las rectas $BE$ y $CH$: \fi
Answer Row 1:
*$0^{\circ}$, $45^{\circ}$, $60^{\circ}$, $90^{\circ}$
Question Row 2:
\ifen the lines $BE$ and $BC$: \fi \ifcs přímkami $BE$ a $BC$: \fi \ifpl prostymi $BE$ i $BC$: \fi \ifsk priamkami $BE$ a $BC$: \fi \ifes las rectas $BE$ y $BC$: \fi
Answer Row 2:
$30^{\circ}$, $35{,}3^{\circ}$, $45^{\circ}$, *$90^{\circ}$
Question Row 3:
\ifen the lines $BE$ and $BG$: \fi \ifcs přímkami $BE$ a $BG$: \fi \ifpl prostymi $BE$ i $BG$: \fi \ifsk priamkami $BE$ a $BG$: \fi \ifes las rectas $BE$ y $BG$: \fi
Answer Row 3:
$30^{\circ}$, $45^{\circ}$, *$60^{\circ}$, $90^{\circ}$
Question Row 4:
\ifen the lines $BE$ and $FG$: \fi \ifcs přímkami $BE$ a $FG$: \fi \ifpl prostymi $BE$ i $FG$: \fi \ifsk priamkami $BE$ a $FG$: \fi \ifes las rectas $BE$ y $FG$: \fi
Answer Row 4:
$30^{\circ}$, $35{,}3^{\circ}$, *$90^{\circ}$, $120^{\circ}$
Question Row 5:
\ifen the line $BE$ and the plane $ADH$: \fi \ifcs přímkou $BE$ a rovinou $ADH$: \fi \ifpl prostą $BE$ i płaszczyzną $ADH$: \fi \ifsk priamkou $BE$ a rovinou $ADH$: \fi \ifes la recta $BE$ y el plano $ADH$ \fi
Answer Row 5:
$30^{\circ}$, *$45^{\circ}$, $60^{\circ}$, $90^{\circ}$
Question Row 6:
\ifen the line $BE$ and the plane $ABC$: \fi \ifcs přímkou $BE$ a rovinou $ABC$: \fi \ifpl prostą $BE$ i płaszczyzną $ABC$: \fi \ifsk priamkou $BE$ a rovinou $ABC$: \fi \ifes la recta $BE$ y el plano $ABC$ \fi
Answer Row 6:
$35{,}3^{\circ}$, *$45^{\circ}$, $60^{\circ}$, $90^{\circ}$
Question Row 7:
\ifen the line $BE$ and the plane $AFG$: \fi \ifcs přímkou $BE$ a rovinou $AFG$: \fi \ifpl prostą $BE$ i płaszczyzną $AFG$: \fi \ifsk priamkou $BE$ a rovinou $AFG$: \fi \ifes la recta $BE$ y el plano $AFG$ \fi
Answer Row 7:
$0^{\circ}$, $45^{\circ}$, $60^{\circ}$, *$90^{\circ}$
Question Row 8:
\ifen the line $BE$ and the plane $DBF$: \fi \ifcs přímkou $BE$ a rovinou $DBF$: \fi \ifpl prostą $BE$ i płaszczyzną $DBF$: \fi \ifsk priamkou $BE$ a rovinou $DBF$: \fi \ifes la recta $BE$ y el plano $DBF$ \fi
Answer Row 8:
*$30^{\circ}$, $45^{\circ}$, $60^{\circ}$, $90^{\circ}$
Tex:
% tiket 33042
\MsrTabulka[0pt]{0.5\linewidth}{0.4\linewidth}
\pocetsloupcu{4}
\def\obrA{\obrMsr[x=1.5cm,y=1.5cm,z=0.2cm]{-1}2{-1}2
{
\pgfmathsetmacro{\cubex}{1}
\pgfmathsetmacro{\cubey}{1}
\pgfmathsetmacro{\cubez}{2}
\coordinate (A) at (0,0,0);
\coordinate (B) at (\cubex,0,0);
\coordinate (C) at (\cubex.2,0,\cubez);
\coordinate (D) at (0.2,0,\cubez);
\coordinate (E) at (0,\cubey,0);
\coordinate (F) at (\cubex,\cubey,0);
\coordinate (G) at (\cubex.2,\cubey,\cubez);
\coordinate (H) at (0.2,\cubey,\cubez);
\draw[thick,dashed] (A) -- (D) node [yshift=-6pt,xshift=3pt]{$D$} -- (C) node [yshift=-5pt,xshift=5pt]{$C$};
\draw[thick,dashed] (D) -- (H);
\draw[thick] (A) node [yshift=-5pt,xshift=-5pt]{$A$} -- (B) node [yshift=-6pt,xshift=3pt]{$B$} -- (F) node [yshift=6pt,xshift=-3pt]{$F$}-- (E) node [yshift=6pt,xshift=-3pt]{$E$} -- cycle;
\draw[thick] (B) -- (C) -- (G) -- (F);
\draw[thick] (G) node [yshift=6pt,xshift=3pt]{$G$} -- (H) node [yshift=6pt,xshift=-3pt]{$H$} -- (E);
}}