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可唔可以用數學字眼來解釋黃金比例?(英文解釋加中文解釋)唔洗太長

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  • Carson
    Lv 6
    1 decade ago
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    黃金分割是根據黃金比例,將一條線分割成兩段 . 總長度 a+b 與長度較長的 a 之比等於 a 與長度較短的 b之比. 黃金分割又稱黃金比,是一種數學上的比例關係。

    The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures

    圖片參考: http://mathworld.wolfram.com/images/eps-gif/Golden...

    Given a rectangle having sides in the ratio, is defined as the unique number such that partitioning the original rectangle into a square and new rectangle as illustrated above results in a new rectangle which also has sides in the ratio (i.e., such that the yellow rectangles shown above are similar). Such a rectangle is called a golden rectangle, and successive points dividing a golden rectangle into squares lie on a logarithmic spiral, giving a figure known as a whirling square.

    Based on the above definition, it can immediately be seen that

    Φ/1=1/(Φ-1)

    Φ^2-Φ-1=0

    Φ=1.618

    希望解答到你 ^^

    Source(s): 自己
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