1, ellipse is an important figure in mathematics, and its secondary conclusions and properties help us to understand and solve problems related to ellipse. The three basic definitions of an ellipse are: the sum of the distances to two fixed points is a constant value; The ratio of the distance to any focus to the distance to the corresponding directrix is eccentricity; And the square of eccentricity e is equal to 1-(b? /a？ )。
2. Ellipse has many other secondary conclusions and properties. For example, when the focus of an ellipse is on the X axis, the long axis of the ellipse is usually represented by A, the short axis by B, and C is the half focal length. These secondary conclusions are very important for understanding and answering questions about ellipses. They can help us to deduce various properties of ellipses, such as area, perimeter and so on.
3. Mastering these secondary conclusions can improve the efficiency of answering questions and deeply understand the complexity of ellipses. In the process of learning, we need to practice more and take more notes, so that we can use these secondary conclusions to solve problems more effectively. Generally speaking, mastering the second-order conclusion of ellipse and its related properties is the key step to solve the related problems of ellipse.
Related knowledge of ellipse
1, the properties of ellipse can be known from its definition and property table. For example, the eccentricity of an ellipse is a key parameter to describe the shape of an ellipse. The greater the eccentricity, the flatter the ellipse. Another important property of ellipse is symmetry, which is about two axisymmetries, that is, about the long axis and the short axis.
2. In practical application, ellipse has a wide range of applications. For example, in physics, the trajectory of a planet is an ellipse. In engineering, ellipses are widely used in architectural design, machinery manufacturing and other fields. In finance, the yield curve of bonds usually presents a shape called "bell curve", which is essentially an ellipse.
3. The mathematical model of ellipse is also widely used in various fields. For example, in statistics, elliptic model is used to describe the distribution of data; In computer graphics, ellipses are used to make various shapes and patterns; In cryptography, elliptic curves are used to realize encryption and decryption.