1, the unified definition of conic curve can be expressed as given a plane rectangular coordinate system and a fixed point F (called focus), and given a constant E (called eccentricity), then a graph G composed of points M(x, y) satisfying the following conditions is called conic curve: the relationship between the distance MF from point M to focus F and the distance MO from point M to coordinate origin O satisfies MF/Mo = E.
2. When e> is 1, the curve G is hyperbola, and when E> is1
3. There are other definitions of conic curve. For example, some definitions will emphasize that the shape of conic is formed by the intersection of a group of planes and a conic axis, while others will emphasize that conic is a special conic. But no matter what kind of definition, it reflects the important position and function of conic in mathematics.
Application scene of cone
1, Building Engineering: Cones are often used to represent the shape of roofs in building engineering. Conical roof has excellent drainage performance and structural strength, so it has been widely used in some buildings. In addition, cones also appear as decorative elements in the field of architectural design.
2. Mechanical engineering: Cones are often used as the shapes of mechanical parts in mechanical engineering, such as wheels and bearings. The conical shape of these parts can better bear the load and reduce the friction, thus improving the mechanical efficiency. Aerospace: Cones also have important applications in the aerospace field.
3. Geology: In the field of geology, the cone is a common geological structure. For example, a volcanic cone is a typical conical geological structure. In addition, geologists also use cones to represent the shapes of strata and seams. Mathematics and physics: Cones also have important applications in mathematics and physics.