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Examen Integrador de Cónicas
1.Completar el siguiente cuadro:
CÖNICA | Con centro en (0; 0) |
Con centro en (alfa; beta) |
Circunferencia | x… + y…= ….. | (…….)… + (…….)…=…… |
……………………. | ………. + ………..= 1 | ………. + ………..= 1 |
Parábola | | -
(……)= 2…(….......) -
(……)= 2…(...........)
|
………………….. | ………. - ……….= 1 | …………. - ………….= 1 |
2. Circunferencia:
Hallar la ecuación canónica de una circunferencia con centro en (2;-3) y R=2
Dar la ecuación canonica de la circunferencia (x-3) + (y+1)=1.Graficar
Hallar la ecuación general de una circunferencia con centro en (1/3; -1) y R=2
Graficar la circunferencia (x+2) + (y+2)= 4. ¿Es tangente al eje X?¿ Y al eje Y?
Hallar los puntos de interseccion entre la circunferencia (x-2) + (y+1) = 4 y la recta
y = -3x
3.Elipse:
Dada la siguiente ecuación de la elipse + = 1 determinar:
Graficar la elipse (Y-1) + (x-2) = 1
Hallar los puntos de interseccion entre la elipse ( x-2) + (y+1) = 1 y la recta que
pasa por su centro (2; -1) y tiene pendiente 2.
Dar la verdadera ecuación de (x+1) + (y-3) = 4
4 Parábola:
Escribir la ecuación de la parabola con f = (0;-4) y Directriz: y = 0
Graficar la siguiente parabola (x-2) = 12 ( y-1)
¿Cómo sera el grafico aproximado de la siguiente formula de parabola? x = -2Py
hallar los puntos de interseccion entre la parabola (y-1) = 6 (x+3) y la recta y = ½ x-5
5. Hipérbola:
Graficar la hiperbola (x-4) - (y+3) = 1
Analizar completamente los elementos de la siguiente hiperbola: x - y = 1
Graficar e indicar coordenadas de los focos y del centro de la hiperbola
(x+2) - (y-3) = 1
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Enviado por: | El remitente no desea revelar su nombre |
Idioma: | castellano |
País: | Argentina |