大自然巧夺天工,一片小枫叶也蕴含着“黄金分割”,如图,P是线段
的黄金分割点,且
,
,则
的长约为( )![](https://staticzujuan.xkw.com/quesimg/Upload/formula/405554b6a34430029b4bab739d69bca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a46ea1f5cb17634e755ab886bff572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cd4a1c8087ef697d82b321a3331211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/405554b6a34430029b4bab739d69bca3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/26/7f328d13-7a0b-449e-bb0d-1c5748c8c4d9.png?resizew=65)
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更新时间:2023-10-23 16:32:59
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【知识点】 黄金分割
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【推荐1】如图,已知点
是线段
上的一点,且满足
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/30faae69-92c4-46ca-b910-8d0ce185ff71.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4507b9647916227ad3114f35a0f873e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e00b7e3ee4b70170f98045b958d35.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/30faae69-92c4-46ca-b910-8d0ce185ff71.png?resizew=141)
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【推荐2】0.618是黄金分割率的比值,它被认为是最美的数值.研究发现,当成人的体重(
)与身高(
)的比达到
时,那么这个成人的体重就比较理想.若王老师的身高是
,下列选项中,最接近她的理想体重的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4aa7e7122f3e8bfe6ac295d40a1b6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9179bee09452bbd0e5080501bb0ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b41dc0609f60b98818311a77e23d58f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d89249387ef9c407c498c76bfb1497.png)
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