What is the first definition of an ellipse? The first definition of an ellipse

What is the definition of an ellipse?

First definition of ellipse: An ellipse is the sum of the distances from the plane to the fixed points f1 and f2 equal to the constant (greater than |f1f2|The trajectories of the moving point p, f1 and f2 are called the two foci of the ellipse. its mathematical expression.

For: |pf1|+|pf2|=2a（2a>|f1f2|）。

Second definition of an ellipse: An ellipse is a conic curve.

A kind of cross-section, that is, the section of the conic and the plane.

EllipseThird definition: The circumference of an ellipse is equal to a specific sinusoidal curve.

The length of the annihilation in a cycle.

In mathematics, an ellipse is a curve in a plane around two focal points such that for each point on the curve, the sum of the distances to the two focal points is constant. As such, it is a generalization of a circle, which is a special type of ellipse with two focal points at the same bit macro rotten.

The shape of an ellipse (how it "elongs") is represented by its eccentricity masking leakage, which for an ellipse can be anywhere from 0 (the limit case of the circle) to any number that is arbitrarily close but less than 1.

Let the elliptic equation be x 2 a 2 + y 2 b 2 = 1 and the point above it is (x0, y0) (y0 is not equal to 0).

Then the long axis of the ellipse is (a,0), (a,0), then the slopes of the two lines are y0 (x0-a), and the product of y0 (x0+a) is y0 2 (x0 2-a 2) Equation 1 and because the point is on the ellipse, there is b 2x0 2+a 2y0 2=a 2b 2, that is, y0 2=b 2(a 2-x0 2) a 2 is substituted into formula 1, and the product of a 2-x0 2 is -a 2 b 2, which has nothing to do with the coordinates of the point, and is a fixed value when the ellipse is determined.

A circle is a curve in a plane that surrounds two focal points such that 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, which is a special type of ellipse with two focal points at the same position. The shape of an ellipse (how it "elongs") is represented by its eccentricity, and for an ellipse it can be any number from 0 (the limit case of the circle) to any number that is arbitrarily close but less than 1 for carrying delay.

Hello! Glad for your question!

Answer: The definition of an ellipse is:

1. The trajectory of the distance from the plane to the two fixed points f1 and f2 and the point equal to the constant 2a (2a is greater than f1f2) is called an ellipse. Macro group.

2. The fixed-point f1 and f2 are called the focus of the ellipse.

3. The distance between the two focal points is called the focal length of the ellipse.

Your cheating is the greatest support to me from the Wu Jue Clan! Break a leg! Thank you!

An ellipse is a planar curve, historically composed of two axes perpendicular to each other, with a focal point in the middle of the hail, which resembles an ellipse, and its function is expressed as: (x a) 2 + y b) 2 = 1, where a is the length of the major axis and b is the length of the minor axis.

The trajectory of a point in the plane where the sum of the distances from two fixed points is equal to a fixed value (this fixed value is greater than the distance between two fixed points) is called an ellipse.

The trajectories of points whose sum of the distances from the plane to the two fixed points is equal to the fixed trap value (greater than the distance between the two points).

The two fixed points are called ellipticals, and the distance between the two fixed points is called the focal length.

An ellipse is a kind of conic curve (also called a conic cross-section), and there are two definitions in high school textbooks:

1. The sum of the distances from the two points on the plane is the set of fixed points (the fixed value is greater than the distance between the two points) (these two fixed points are also called the focal points of the ellipse, and the distance between the focal points is called the focal length);

2. The set of points whose ratio of the distance from the plane to the fixed point to the distance between the fixed line and the distance to the fixed line is a constant (the fixed point is not on the fixed line, and the constant is a positive number less than 1) (the fixed point is the focus of the ellipse, and the straight line is called the alignment of the ellipse). These two definitions are equivalent.

The first definition of an ellipse is the set of points on the plane to the sum of the distances to two points as a fixed value, which is greater than the distance between the two points, and these two fixed points are also called the focal points of the ellipse, and the distance between the focal points is called the focal length.

An ellipse is very similar to a circle, except that an elliptical sedan has different x and y radii, while a circle has the same x and y radii. In mathematics, an ellipse is the trajectory of a point on a plane whose sum of distances to two fixed points is the same constant. These two fixed points are called focal points.

It is a type of conic curve, that is, the section of the conic to the plane. The ellipse can be written on the equation as the standard formula x a + y b = 1.

The first definition of an ellipse is the set of points on a plane whose sum of the distances to two points is a fixed value, which is greater than the distance between two points, and these two fixed points are also called the focal points of the ellipse, and the distance between the focal points is called the focal length.

An ellipse is very similar to a circle, except that an ellipse has different x and y radii, while a circle has the same x and y radii. In mathematics, an ellipse is the trajectory of a point on a plane to a point where the sum of the distances is the same constant in the middle of two fixed points. The two fixed points of the mountain are called focal points.

It is a type of conic curve, that is, the section between the cone and the plane. The ellipse can be written on the equation as the standard formula x a + y b = 1.