1, the smaller the eccentricity, the closer it is to the circle, and the larger the ellipse, the flatter it is.
2. When the focus is on the X axis, the standard equation of ellipse is: x 2/a 2+y 2/b 2 =1,(a>b>0).
3. An ellipse is the trajectory of a moving point P. The sum of the distances from the moving point P to the fixed point F 1 and F2 in a plane is equal to a constant (greater than |F 1F2|), and F 1 and F2 are called the two focuses of the ellipse.
4. In mathematics, an ellipse is a curve around two focal points on a plane, so for each point on the curve, the sum of the distances to the two focal points is constant.
5. Diameter of the ellipse: the distance between the straight line perpendicular to the X axis (or Y axis) passing through the focus and the two intersection points A and B of the ellipse, the value is = 2b 2/a. ..
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 |).
An ellipse is a conic curve, that is, the tangent of a cone to a plane. The circumference of an ellipse is equal to the length of a specific sine curve in a period. In mathematics, an ellipse is a curve around two focal points on a plane, so for each point on the curve, the sum of the distances to the two focal points is constant.
Therefore, it is a generalization of a circle, and it is a special type of ellipse with two focuses at the same position. The shape of an ellipse (how to "stretch") is expressed by its eccentricity, which can be any number from 0 (the limit case of a circle) to close to but less than 1.
An ellipse is a closed cone section: a plane curve intersects a plane through a cone. Ellipse has many similarities with the other two forms of conical sections: paraboloid and hyperbola, which are both open and unbounded. The cross section of a cylinder is elliptical unless it is parallel to the axis of the cylinder.