黄金分割比例在《几何原本》中称为中末比,中末比有很多神奇的性质,在《几何原本》中有大量与中末比有关的命题,如第十三章命题
可叙述为:在正五边形
中,连接
,交于点
,则
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82867a9326ccdadc699722a0aa20c750.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f27f36703e71f271a501949abfa342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d72a5b3cccdcc49ea4dfb618f8bff92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82867a9326ccdadc699722a0aa20c750.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/9/08574a4f-220f-4a18-b19c-4c9ce2101c1a.png?resizew=117)
更新时间:2023-09-08 10:54:13
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【推荐1】已知
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【推荐2】已知
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【推荐1】赵爽是我国汉代数学家,大约在公元222年,他为《周髀算经》作注解时,给出了“赵爽弦图”:四个全等的直角三角形与一个小正方形拼成的一个大的正方形.如图所示,正方形ABCD的边长为
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