Gráfica y Ecuación de la Elipse

Project ID: 
6000000041
Accepted: 
SubArea: 
Tipo: 
Layout: 
Question: 
Dadas las siguientes ecuaciones reducidas de Elipses, empareja cada una con su gráfica.
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]{$F$}; }}