A hyperbola has two focal points, and the horizontal (vertical) coordinates of the focal points satisfy C? =a？ +b？ .
2. asymptote equation
The asymptote of hyperbola with focus on y axis is:
The asymptote of hyperbola with focus on X axis is:
3. The standard equation of hyperbola is:
(1) When the focus is on the X axis:
(2) When the focus is on the y axis:
Extended data
Hyperbola is used in ventilation towers, cooling towers, Eiffel Tower, Guang Zhouta, etc.
Exaggeration appears in many ways:
1, the road to the future shadow.
2. The shape of the open orbit (different from the closed elliptical orbit), such as the orbit of the spacecraft during the planetary gravity-assisted swing, or more generally, any spacecraft that exceeds the escape speed of the nearest planet.
3. The path of a single comet (a comet that runs too fast to return to the solar system).
4. Scattering trajectory of subatomic particles (repulsion rather than attraction, but the principle is the same).
In radio navigation, when the distance reaches the distance between two points, the distance itself can be determined.
Baidu encyclopedia-hyperbola