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parabola    音标拼音: [pɚ'æbələ]
n. 抛物线

抛物线

parabola
抛物线

parabola
n 1: a plane curve formed by the intersection of a right
circular cone and a plane parallel to an element of the
curve

Parabola \Pa*rab"o*la\, n.; pl. {Parabolas}. [NL., fr. Gr. ?; --
so called because its axis is parallel to the side of the
cone. See {Parable}, and cf. {Parabole}.] (Geom.)
(a) A kind of curve; one of the conic sections formed by the
intersection of the surface of a cone with a plane
parallel to one of its sides. It is a curve, any point of
which is equally distant from a fixed point, called the
focus, and a fixed straight line, called the directrix.
See {Focus}.
(b) One of a group of curves defined by the equation y =
ax^{n} where n is a positive whole number or a positive
fraction. For the {cubical parabola} n = 3; for the
{semicubical parabola} n = 3/2. See under {Cubical}, and
{Semicubical}. The parabolas have infinite branches, but
no rectilineal asymptotes.
[1913 Webster]


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  • Parabola - Wikipedia
    Part of a parabola (blue), with various features (other colours) The complete parabola has no endpoints In this orientation, it extends infinitely to the left, right, and upward The parabola is a member of the family of conic sections
  • Parabola - Formula, Graphing, Examples | Parabola Equation - Cuemath
    A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point and a fixed line Its general equation is of the form y^2 = 4ax (if it opens left right) or of the form x^2 = 4ay (if it opens up down)
  • Parabola - Math is Fun
    A parabola is a curve where any point is at an equal distance from: Get a piece of paper, draw a straight line on it, then make a big dot for the focus (not on the line!) Now play around with some measurements until you have another dot that is exactly the same distance from the focus and the straight line
  • Parabola | Definition, Origin, Equation, Applications | Britannica
    The parabola is an open curve that is a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone
  • Parabola - Math. net
    A parabola is formed by the set of all points that are equidistant from the focus and directrix Note that the focus is always inside of the parabola and on the axis of symmetry
  • Understanding the Equations of Parabolas - CK-12 Foundation
    This parabola was created from an equation What was the equation? In this concept, you will learn to understand the equation of a parabola Parabolas A parabola is a U-shaped graph Equations with the ‘ x ’ variable raised to the 2nd power are called quadratic equations and their graphs are always parabolas Here is a quadratic equation
  • Parabola -- from Wolfram MathWorld
    A parabola (plural "parabolas"; Gray 1997, p 45) is the set of all points in the plane equidistant from a given line L (the conic section directrix) and a given point F not on the line (the focus)
  • Parabola - Definition, Formula, Graph, Examples
    A parabola is the set of points equidistant from a focus and directrix Learn the equation, vertex, focus, directrix, and real-world reflector applications
  • Algebra - Parabolas - Pauls Online Math Notes
    In this section we will be graphing parabolas We introduce the vertex and axis of symmetry for a parabola and give a process for graphing parabolas We also illustrate how to use completing the square to put the parabola into the form f (x)=a (x-h)^2+k
  • Parabola - Definition, Equations, Formulas, Properties Solved . . .
    Discover the parabola definition in math, including its properties, equations, and real-world applications Learn about the focus, directrix, and vertex of a parabola, along with its role in physics and engineering





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