Sześcian -- Odległości I

Wysłane przez ladislav.foltyn w śr., 05/01/2019 - 15:20
Project ID: 
5000000051
Accepted: 
Podobszar: 
Linie i płaszczyzny: długości i kąty
Template: 
B
Question: 
Na rysunku znajduje się sześcian ABCDEFGH, jego krawedź ma długość 12cm. Punkt S to środek podstawy ABCD. Wskaż odległość pomiędzy
Question Row 1: 
\ifen the points E and C: \fi \ifcs body E a C: \fi \ifpl punktami E i C: \fi \ifsk bodmi E a C: \fi \ifes los puntos E y C: \fi
Answer Row 1: 
12cm, 122cm, *123cm, 126cm
Question Row 2: 
\ifen the points E and S: \fi \ifcs body E a S: \fi \ifpl punktami E i S: \fi \ifsk bodmi E a S: \fi \ifes los puntos E y S: \fi
Answer Row 2: 
6cm, 62cm, 63cm, *66cm
Question Row 3: 
\ifen the point E and the line SC: \fi \ifcs bodem E a přímkou SC: \fi \ifpl punktem E i prostą SC: \fi \ifsk bodom E a priamkou SC: \fi \ifes el punto E y la recta SC: \fi
Answer Row 3: 
6cm, 62cm, 63cm, *12cm
Question Row 4: 
\ifen the point E and the line CF: \fi \ifcs bodem E a přímkou CF: \fi \ifpl punktem E i prostą CF: \fi \ifsk bodom E a priamkou CF: \fi \ifes el punto E y la recta CF: \fi
Answer Row 4: 
*12cm, 122cm, 123cm, 126cm
Question Row 5: 
\ifen the point E and the line CG: \fi \ifcs bodem E a přímkou CG: \fi \ifpl punktem E i prostą CG: \fi \ifsk bodom E a priamkou CG: \fi \ifes el punto E y la recta CG: \fi
Answer Row 5: 
12cm, *122cm, 123cm, 126cm
Question Row 6: 
\ifen the point E and the plane BCG: \fi \ifcs bodem E a rovinou BCG: \fi \ifpl punktem E i płaszczyzną BCG: \fi \ifsk bodom E a rovinou BCG: \fi \ifes el punto E y el plano BCG: \fi
Answer Row 6: 
*12cm, 122cm, 123cm, 126cm
Question Row 7: 
\ifen the point $E$ and the plane $SFH$: \fi \ifcs bodem $E$ a rovinou $SFH$: \fi \ifpl punktem $E$ i płaszczyzną $SFH$: \fi \ifsk bodom $E$ a rovinou $SFH$: \fi \ifes el punto $E$ y el plano $SFH$: \fi
Answer Row 7: 
6cm, *62cm, 63cm, 66cm
Tex: 
% tiket 33040 \let\oldQuestion\Question \def\I{\mathrm{i}} \def\Question{ \begin{minipage}[t]{0.6\linewidth} \leavevmode \oldQuestion \end{minipage} \hfill \begin{minipage}[t]{0.35\linewidth} \leavevmode \kern -20pt \obrMsr[x=1.5cm,y=1.5cm, z=0.3cm]{-1}2{-1}2 { \footnotesize \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=4pt,xshift=-6pt]{$D$} -- (C) node [yshift=-5pt,xshift=5pt]{$C$}; \draw[thick,dashed] (D) -- (H); \draw[thick,red,dashed] (A) -- (C); \draw[thick,red,dashed] (B) -- (D); \draw[red] (0.6,0,1) node [below,xshift=-2pt,yshift=1pt]{$S$}; \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); } \end{minipage}} \MsrTabulka[1pt]{0.4\linewidth}{0.6\linewidth} \pocetsloupcu{4}