B is the semi-minor axis length, that is, the distance from the origin to the nearest vertex.
An ellipse is the trajectory of a moving point P. The sum of the distances from the moving point P to the fixed points F 1 and F2 in a plane is equal to a constant (greater than |F 1F2|), and F1and F2 are called the two focuses of the ellipse. The mathematical expression is | pf1|+pf2 | = 2a (2a > | f1F2 |).
Extended data:
If the center of the circle is at the origin, but the position of the focus is not clear on the X axis or Y axis, the equation can be set to mx? +ny？ = 1。 0, n>0, m≠n). Unified form of standard equation.
The area of an ellipse is πab. An ellipse can be regarded as the stretching of a circle in a certain direction, and its parameter equations are: x=acosθ, y=bsinθ.
Parameter equation x=acosθ, y=bsinθ. When solving the maximum distance from a point on an ellipse to a fixed point or a fixed line, the problem can be transformed into a trigonometric function problem by using parametric coordinates, where x=a×cosβ and y=b×sinβ, where a is half the length of the major axis and b is half the length of the minor axis.