Project ID:
6000000041
Accepted:
Typ:
Layout:
Question:
K obrázku elipsy priraďte jej rovnicu.
Question 1:
{\obrA}
Question 1 Image:
Answer 1:
$\frac{(x-2)^2}4+y^2=1$
Question 2:
{\obrB}
Question 2 Image:
Answer 2:
$\frac{(x+2)^2}4+y^2=1$
Question 3:
{\obrC}
Question 3 Image:
Answer 3:
$\frac{(x-3)^2}4+\frac{(y-3)^2}9=1$
Question 4:
{\obrD}
Question 4 Image:
Answer 4:
$(x-2)^2+\frac{y^2}4=1$
Question 5:
{\obrE}
Question 5 Image:
Answer 5:
$\frac{(x-3)^2}9+(y-1)^2=1$
Question 6:
{\obrF}
Question 6 Image:
Answer 6:
$x^2+\frac{(y-3)^2}9=1$
Answer 7:
$\frac{(x+3)^2}9+(y+1)^2=1$
Answer 8:
$(x-3)^2+\frac{y^2}9=1$
Tex:
% tiket 32385
\NastavOD{2}
\def\delka{0.6cm}
\def\obrA{\obrMsr[x=\delka,y=\delka]{-1}{6}{-3}3
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[left]{-1,1}
\obrPopisX[below right]{2,4}
\obrZnackyX{0.2679,3.7321}
\draw[thick] (2,0) ellipse (2 and 1);
\draw (2,-1.5) -- (2,1.5);
\draw (0.2679,0) node [below right]{$E$};
\draw (3.7321,0) node [below left]{$F$};
}}
\def\obrB{\obrMsr[x=\delka,y=\delka]{-6}{1}{-3}3
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[right]{-1,1}
\obrPopisX[below left]{-2,-4}
\obrZnackyX{-0.2679,-3.7321}
\draw[thick] (-2,0) ellipse (2 and 1);
\draw (-2,-1.5) -- (-2,1.5);
\draw (-0.2679,0) node [below left]{$F$};
\draw (-3.7321,0) node [below right]{$E$};
}}
\def\obrC{\obrMsr[x=\delka,y=\delka]{-1}{6}{-1}7
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[left]{3,6}
\obrPopisX[below]{1,3,5}
\draw[thick] (3,3) ellipse (2 and 3);
\draw (3,0) -- (3,6.5);
\draw (0,3) -- (5.5,3);
\draw (3,3) node [above right]{$S$};
\draw (2.9,0.7639) -- (3.1,0.7639);
\draw (2.9,5.2361) -- (3.1,5.2361);
\draw (3,0.7639) node [above left]{$E$};
\draw (3,5.2361) node [below left]{$F$};
}}
\def\obrD{\obrMsr[x=\delka,y=\delka]{-1}{6}{-3}3
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[left]{-2,2}
\obrPopisX[below left]{1}
\obrPopisX[below right]{2,3}
\draw[thick] (2,0) ellipse (1 and 2);
\draw (2,-2.5) -- (2,2.5);
\draw (1.9,-1.7321) -- (2.1,-1.7321);
\draw (1.9,1.7321) -- (2.1,1.7321);
\draw (2,-1.7321) node [above left]{$E$};
\draw (2,1.7321) node [below left]{$F$};
}}
\def\obrE{\obrMsr[x=\delka,y=\delka]{-1}{7}{-1}6
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[left]{1,2}
\obrPopisX[below]{3,6}
\draw[thick] (3,1) ellipse (3 and 1);
\draw (3,0) -- (3,2.5);
\draw (0,1) -- (6.5,1);
\draw (0.1716,0.9) -- (0.1716,1.1);
\draw (5.82849,0.9) -- (5.8284,1.1);
\draw (0.1716,1) node [below right, yshift=1pt]{$E$};
\draw (5.8284,1) node [below left,yshift=1pt]{$F$};
\draw (3,1) node [above right]{$S$};
}}
\def\obrF{\obrMsr[x=\delka,y=\delka]{-3}{3}{-1}7
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[above left]{6}
\obrPopisY[above left]{3}
\obrPopisX[below]{-1,1}
\obrZnackyY{0.1716,5.8284}
\draw[thick] (0,3) ellipse (1 and 3);
\draw (-1.5,3) -- (1.5,3);
\draw (0,0.1716) node [above left,xshift=2pt]{$E$};
\draw (0,5.8284) node [below left,xshift=2pt]{$F$};
}}