Science Museum Exhibits · Interactive Exhibits · Shipped Worldwide
The focus of a parabolic surface
Mathematics

The focus of a parabolic surface

所属门类:Mathematics Custom build available Batch supply available
  • In stock with stable lead times — single units or complete sets
  • Size, appearance and interaction can be adapted to the museum’s theme
  • For science museums, campus science rooms, community science centers and mobile science museums
  • Export packing and overseas on-site installation support
Images and specifications are indicative only; the supply contract and approved drawings govern.

1. Content

The audience picks up a laser pointer and illuminates the concave mirror at the bottom at any point on the fixed flower shaped track on the top of the acrylic cover to observe the reflection path of the laser. Mathematical knowledge tells us that any line parallel to the central axis of a parabola, the emission line on the inside of the parabola will pass through the focus of the parabola. This exhibition utilizes this principle to emit laser light parallel to the central axis of a parabolic surface, and the laser light will be reflected and directed towards the focal position.

The parabolic principle is widely used in lighting fixtures such as car lights, flashlights, and radars, where their reflective surfaces or surfaces are parabolic.

2. Principle

The trajectory of a point in a plane that is equidistant from a fixed point and a straight line is called a parabola. The fixed point is called the focal point of the parabola, and the fixed line is called the guide line of the parabola.

A parabola refers to the trajectory of a point in a plane that is equidistant from a fixed point F (focal point) and a fixed line l (guide line). It has many representation methods, such as parameter representation, standard equation representation, and so on. It has important applications in geometric optics and mechanics. A parabola is also a type of conic curve, which is a curve obtained by intersecting a conical surface with a plane parallel to a certain generatrix. A parabola can also be viewed as a quadratic function graph under appropriate coordinate transformations.

It has important applications in geometric optics and mechanics. A parabola is also a type of conic curve, which is a curve obtained by intersecting a conical surface with a plane parallel to a certain generatrix. A parabola can also be viewed as a quadratic function graph under appropriate coordinate transformations. A parabola is the trajectory of a point in a plane that is equidistant from a fixed line that does not exceed that point. This point is called the focal point of a parabola, and a fixed line is called the guide line of a parabola.

3. Purpose

The exhibition items demonstrated the characteristics and principles of parabolic focus through interactive participation, allowing the audience to learn rich mathematical knowledge and think about its clever application in real life while observing and experiencing.

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