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歡迎您訪問數學考題練習:美是一種感覺,本應沒有什么客觀的標準,但在自然!

數學考題練習:美是一種感覺,本應沒有什么客觀的標準,但在自然

更新時間:2024-01-12 16:27:39作者:貝語網校

美是一種感覺,本應沒有什么客觀的標準,但在自然界里,物體形狀的比例卻提供了在勻稱與協調上的一種美感的參考,在數學上,這個比例稱為黃金分割.在人體軀干(由腳底至肚臍的長度)與身高的比例上,肚臍是理想的黃金分割點,也就是說,若此比值越接近0.618,就越給別人一種美的感覺.如果某女士身高為1.65 m,軀干與身高的比為0.60,為了追求美,她想利用高跟鞋達到這一效果,那么她選的高跟鞋的高度約為

A.2.5 cm

B.5.3 cm

C.7.8 cm

D.8.5 cm

試題答案

C

試題解析

先求得下半身的實際高度,再根據黃金分割的概念,列出方程=0.618,求解即可.

解答:根據已知條件得下半身長是165×0.6=99cm,

設選的高跟鞋的高度是xcm,則根據黃金分割的定義得:=0.618,

解得:x≈7.8cm.

故選C.

點評:此題考查了黃金分割點的概念,熟記黃金比的值,進一步根據黃金比的值求解.注意身高不要忘記加上高跟鞋的高度.

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