paraboloid

A kind of quadric surface

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This entry is made by Compilation and application of scientific encyclopedia entries of "Science Popularization China" to examine.

Paraboloid refers to the surface obtained by rotating the parabola 180 °. Mathematically parabola Is the distance from the fixed point (focus) on the same plane and the fixed line（ Guide line ）A collection of points whose distances are equal.

paraboloid yes Quadric surface One of. There are two kinds of paraboloids: Elliptic paraboloid and Hyperbolic paraboloid 。

Chinese name: paraboloid
Foreign name: paraboloid
Definition: The surface obtained by rotating the parabola 180 °

Application: Lights, flashlights and radar
parabola: Collection of points with equal distance to fixed point and fixed straight line
Standard equation: x^2+y^2-z/a^2=0

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conceptual analysis

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paraboloid It's twice curved surface One of. There are two kinds of paraboloids: Elliptic paraboloid and Hyperbolic paraboloid 。 Elliptical paraboloid in Cartesian coordinate system The equation in is:^[1]

The equation of hyperbolic paraboloid in Cartesian coordinate system is:

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In the light Flashlight It is widely used in lighting fixtures and radars. Their reflective surface or reflective surface is a paraboloid.

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When a = b The surface is called Rotating paraboloid , which can be parabola It is made by rotating around its axis. It is Parabolic reflector The shape of light source When placed at the focus, a beam of parallel light will be formed after mirror reflection. The reverse is also true. When a parallel light shines on the mirror, it will focus on the focus.^[2]