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      拋物線圖像計算器

       –  o  +  ←  ↓  ↑  → 
      5
      10
      -5
      -10
      5
      -5
      x
      y
      D

      Directrix

      F
      P
      Q

      d = 1.81

      d = 1.81

      點擊F or P or D并拖動移動圖像。

      函數是數學中的一種對應關系,是從非空數集A到實數集B的對應。簡單地說,甲隨著乙變,甲就是乙的函數。精確地說,設X是一個非空集合,Y是非空數集 ,f是個對應法則 , 若對X中的每個x,按對應法則f,使Y中存在唯一的一個元素y與之對應 , 就稱對應法則f是X上的一個函數,記作y=f(x),稱X為函數f(x)的定義域,集合{y|y=f(x),x∈R}為其值域(值域是Y的子集),x叫做自變量,y叫做因變量,習慣上也說y是x的函數。對應法則和定義域是函數的兩個要素。

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          You can move the graph up-down, left-right if you hold down the "Shift" key and then drag the graph.

          The parabola is defined as the locus of a point which moves so that it is always the same distance from a fixed point (called the focus) and a given line (called the directrix).

          The focus of the parabola is at (0,p).

          The directrix is the line y=?p.

          The focal distance is |p| (Distance from the origin to the focus, and from the origin to the directrix. We take absolute value because distance is positive.)

          The point (x, y) represents any point on the curve.

          The distance d from any point (x, y) to the focus (0,p) is the same as the distance from (x, y) to the directrix.