Project ID:
5000000052
Accepted:
Template:
Question:
Podstawa $ABCD$ ostrosłupa czworokątnego $ABCDV$ ma krawędź o długości $6\,\mathrm{cm}$. Wysokość ostrosłupa wynosi $8\,\mathrm{cm}$. Punkt $S$ to środek podstawy, punkt to środek krawędzi $AV$, punkt $Q$ to środek krawędzi $CV$ (spójrz na rysunek). Wskaż odległość pomiędzy
Question Row 1:
\ifen the point $A$ and the point $S$ \fi \ifcs bodem $A$ a bodem $S$ \fi \ifpl punktem $A$ i punktem $S$ \fi \ifsk bodom $A$ bodom $S$ \fi \ifes el punto $A$ y el punto $S$ \fi
Answer Row 1:
$\frac32\sqrt2\,\mathrm{cm}$, $4\,\mathrm{cm}$, *$3\sqrt2\,\mathrm{cm}$, $\sqrt{82}\,\mathrm{cm}$
Question Row 2:
\ifen the point $P$ and the point $Q$ \fi \ifcs bodem $P$ a bodem $Q$ \fi \ifpl punktem $P$ i punktem $Q$ \fi \ifsk bodom $P$ bodom $Q$ \fi \ifes el punto $P$ y el punto $Q$ \fi
Answer Row 2:
*$3\sqrt2\,\mathrm{cm}$, $8\,\mathrm{cm}$, $\sqrt{34}\,\mathrm{cm}$, $\sqrt{73}\,\mathrm{cm}$
Question Row 3:
\ifen the point $V$ and the point $A$ \fi \ifcs bodem $V$ a bodem $A$ \fi \ifpl punktem $V$ i punktem $A$ \fi \ifsk bodom $V$ bodom $A$ \fi \ifes el punto $V$ y el punto $A$ \fi
Answer Row 3:
$\frac32\sqrt2\,\mathrm{cm}$, $4\,\mathrm{cm}$, $3\sqrt2\,\mathrm{cm}$, *$\sqrt{82}\,\mathrm{cm}$
Question Row 4:
\ifen the point $P$ and the line $VS$ \fi \ifcs bodem $P$ a přímkou $VS$ \fi \ifpl punktem $P$ i prostą $VS$ \fi \ifsk bodom $P$ a priamkou $VS$ \fi \ifes el punto $P$ y la recta $VS$ \fi
Answer Row 4:
*$\frac32\sqrt2\,\mathrm{cm}$, $8\,\mathrm{cm}$, $\sqrt{73}\,\mathrm{cm}$, $\sqrt{82}\,\mathrm{cm}$
Question Row 5:
\ifen the point $V$ and the line $BC$ \fi \ifcs bodem $V$ a přímkou $BC$ \fi \ifpl punktem $V$ i prostą $BC$ \fi \ifsk bodom $V$ a priamkou $BC$ \fi \ifes el punto $V$ y la recta $BC$ \fi
Answer Row 5:
$3\sqrt2\,\mathrm{cm}$, $4\,\mathrm{cm}$, *$\sqrt{73}\,\mathrm{cm}$, $\sqrt{82}\,\mathrm{cm}$
Question Row 6:
\ifen the point $B$ and the line $PQ$ \fi \ifcs bodem $B$ a přímkou $PQ$ \fi \ifpl punktem $B$ i prostą $PQ$ \fi \ifsk bodom $B$ a priamkou $PQ$ \fi \ifes el punto $B$ y la recta $PQ$ \fi
Answer Row 6:
$5\,\mathrm{cm}$, *$\sqrt{34}\,\mathrm{cm}$, $\sqrt{73}\,\mathrm{cm}$, $\sqrt{82}\,\mathrm{cm}$
Question Row 7:
\ifen the line $AC$ and the line $PQ$ \fi \ifcs přímkou $AC$ a přímkou $PQ$ \fi \ifpl prostą $AC$ i prostą $PQ$ \fi \ifsk bodom $AC$ a priamkou $PQ$ \fi \ifes la recta $AC$ y la recta $PQ$ \fi
Answer Row 7:
$\frac32\sqrt3\,\mathrm{cm}$, *$4\,\mathrm{cm}$, $3\sqrt2\,\mathrm{cm}$, $6\,\mathrm{cm}$
Question Row 8:
\ifen the point $Q$ and the plane $ABC$ \fi \ifcs bodem $Q$ a rovinou $ABC$ \fi \ifpl punktem $Q$ i płaszczyzną $ABC$ \fi \ifsk bodom $Q$ a rovinou $ABC$ \fi \ifes el punto $Q$ y el plano $ABC$ \fi
Answer Row 8:
$\frac32\sqrt2\,\mathrm{cm}$, *$4\,\mathrm{cm}$, $6\,\mathrm{cm}$, $8\,\mathrm{cm}$
Tex:
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{
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\draw (0.6,0,1) node [below,xshift=-2pt,yshift=1pt]{$S$};
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\draw[dashed] (0.6,0,1) -- (V);
\begin{scope}[thick]
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