Tus txheej txheem ntawm hyperbola yog dab tsi?

2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36

Cov txheem daim ntawv ntawm kev sib npaug ntawm a hyperbola yog ntawm daim ntawv : (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 rau kab rov tav hyperbola los yog (y - k)^2 / a^2 - (x - h)^2 / b^2 = 1 rau ntsug hyperbola . Qhov chaw ntawm lub hyperbola yog muab los ntawm (h, k).

Tsis tas li ntawd, koj yuav nrhiav tau tus qauv qauv ntawm hyperbola li cas?

Cov txheem daim ntawv ntawm a hyperbola uas opens sideways yog (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1. hyperbola uas qhib thiab nqis, nws yog (y - k)^2 / a^2 - (x - h)^2 / b^2 = 1. Nyob rau hauv ob qho tib si, qhov chaw ntawm lub hyperbola yog muab los ntawm (h, k). Cov vertices yog qhov chaw deb ntawm qhov chaw.

Ib sab saum toj no, tus qauv qauv ntawm parabola yog dab tsi? f (x) = a(x - h)² + k, qhov twg (h, k) yog lub vertex ntawm tus parabola . FYI: Cov phau ntawv sib txawv muaj kev txhais lus sib txawv ntawm kev siv " txheem daim ntawv Ib txhia hais tias f (x) = ax² + bx + c yog " txheem daim ntawv ", thaum lwm tus hais tias f (x) = a(x - h)² +k yog " txheem daim ntawv ".

Tsuas yog li ntawd, daim ntawv dav dav ntawm hyperbola yog dab tsi?

Qhov chaw, vertices, thiab asymptotes yog pom tau tias yog kev sib npaug ntawm ib tug hyperbola yog muab nyob rau hauv tus qauv daim ntawv : (x−h)2a2−(y−k)2b2=1 or (y−k)2b2−(x−h)2a2=1. Rau graph a hyperbola , kos cov cim taw qhia ib sab laug thiab sab xis ntawm qhov chaw thiab cov ntsiab lus b nce thiab nqis los ntawm qhov chaw.

Tus txheej txheem ntawm tus ellipse yog dab tsi?

Siv cov txheem daim ntawv (x−h)2a2+(y−k)2b2=1 (x− h)2a 2 + (y − k) 2 b 2 = 1. Yog hais tias cov x-coordinates ntawm qhov muab vertices thiab foci yog tib yam, ces cov axis loj yog parallel mus rau y-axis.