1, defined as 1: On the plane, the locus of a point whose absolute value of the difference between the distances to two fixed points is constant 2a (less than the distance between two fixed points) is called hyperbola. The fixed point is called the focal point of hyperbola, and the distance between the two focal points is called the focal length, which is represented by 2c.

2. Definition 2: The ratio of the distance to a given point to the distance of a straight line in the plane is a constant e (e >; 1 is the eccentricity of hyperbola; The locus of a point whose fixed point is not on a straight line is called hyperbola. The fixed point is called the focus of hyperbola, and the fixed line is called the directrix of hyperbola.

3. Definition 3: In the plane rectangular coordinate system, when the binary quadratic equation F(x, y)=Ax2+Bxy+Cy2+Dx+Ey+F=0 meets the following conditions, it is hyperbolic.

hyperbola

Hyperbolic (Greek:? περβολ? ) is a conic curve defined as a right-angled conic surface where two halves of a plane intersect. It can also be defined as the trajectory of a point whose distance difference from two fixed points (called focus) is constant. This fixed distance difference is twice that of A, where A is the distance from the center of hyperbola to the vertex of the nearest branch of hyperbola. A is also called the real semi-axis of hyperbola. The focal point is located on the through axis, and the middle point is called the center, which is generally located at the origin. Mathematically, hyperbola (multiple hyperbola or hyperbola) is a smooth curve on a plane, which is defined by the equation of its geometric characteristics or the combination of its solutions.