Obrázek a rovnice kuželosečky

Project ID: 
6000000067
Accepted: 
Podoblast: 
Typ: 
Layout: 
Question: 
K obrázku kuželosečky přiřaďte její rovnici.
Questions Title: 
Obrázky:
Answers Title: 
Rovnice:
Question 1: 
{\obrA}
Question 1 Image: 
Answer 1: 

$(x+1)^2+y^2=9$

Question 2: 
{\obrB}
Question 2 Image: 
Answer 2: 

$\frac{(x+1)^2}9+y^2=1$

Question 3: 
{\obrC}
Question 3 Image: 
Answer 3: 

$(x+1)^2-\frac{y^2}9=1$

Question 4: 
{\obrD}
Question 4 Image: 
Answer 4: 

$(y-1)^2=4x$

Answer 5: 

$(x-1)^2-\frac{y^2}9=1$

Answer 6: 

$\frac{(x-1)^2}9+y^2=1$

Tex: 
% tiket 32389 \NastavOD{3} \def\obrA{\obrMsr[x=0.4cm,y=0.4cm]{-6}{4}{-5}5 { \footnotesize \obrClip \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below left]{-4} \obrPopisX[below right]{2} \obrZnackyX{-1} \draw[red,thick] (-1,0) node [below,yshift=-1pt]{\color{black}$S$} circle (3); }} \def\obrB{\obrMsr[x=0.5cm,y=0.5cm]{-6}{4}{-4}4 { \footnotesize \obrClip \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below left]{-4} \obrPopisX[below right]{2} \obrPopisY[above right]{1} \obrPopisY[below right]{-1} \obrZnackyX{-1} \draw[dashed] (-1,-1) -- (0,-1); \draw[dashed] (-1,1) -- (0,1); \draw (-1,-2) -- (-1,2); \draw[red,thick] (-1,0) node [below left,yshift=-1pt]{\color{black}$S$} ellipse (3 and 1); }} \def\obrC{\obrMsr[x=0.5cm,y=0.3cm]{-6}{4}{-7}7 { \footnotesize \obrClip \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below left]{-2,-3} \obrPopisX[below right]{0,1} \obrPopisY[left]{3,-3} \obrZnackyX{-1} \obrZnackyY{-5.196152424, 5.196152424} \draw[dashed] (1,{3*3^(1/2)}) -- (1,{-3*3^(1/2)}); \draw[dashed] (-3,{3*3^(1/2)}) -- (-3,{-3*3^(1/2)}); \draw[dashed] (-3,{-3*3^(1/2)}) -- (1,{-3*3^(1/2)}); \draw[dashed] (-3,{3*3^(1/2)}) -- (1,{3*3^(1/2)}); \obrFce[domain=-6:-2.008]{(9*((\x)+1)^2-9)^(1/2)} \obrFce[domain=-2.01:-2]{(9*((\x)+1)^2-9)^(1/2)} \obrFce[domain=-6:-2.008]{-(9*((\x)+1)^2-9)^(1/2)} \obrFce[domain=-2.01:-2]{-(9*((\x)+1)^2-9)^(1/2)} \obrFce[domain=0.008:6]{(9*((\x)+1)^2-9)^(1/2)} \obrFce[domain=0:0.01]{(9*((\x)+1)^2-9)^(1/2)} \obrFce[domain=0.008:6]{-(9*((\x)+1)^2-9)^(1/2)} \obrFce[domain=0:0.01]{-(9*((\x)+1)^2-9)^(1/2)} \obrFce[thin,dashed]{3*(\x)+3} \obrFce[thin,dashed]{-3*(\x)-3} \draw (0,5.196152424) node [above left]{$3\sqrt3$}; \draw (0,-5.196152424) node [below left]{$-3\sqrt3$}; \draw (-1,0) node [below,yshift=-3pt]{$S$}; }} \def\obrD{\obrMsr[x=0.6cm,y=0.5cm]{-3}{5}{-4}5 { \footnotesize \coordinate (A) at (1,1); \obrClip \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below left]{-1,0} \obrPopisX[below right]{1} \obrPopisY[above left]{2,1} \obrZnackyX{0.25} \draw[dashed] (0,2) -- (0.25,2) -- (0.25,0); \draw[dashed] (1,0) -- (1,1); \draw (-1,-5) -- (-1,5); \draw (-3,1) -- (5,1); \obrFce[domain=0:7]{(4*(\x))^(1/2)+1} \obrFce[domain=0:7]{-(4*(\x))^(1/2)+1} \draw (-1,4) node [above left]{$d$}; \obrKrizek[2pt] {A}{above right}{F} \draw (0.25,0) node [below,yshift=-4pt]{$\frac14$}; }}