1 . 古希腊雅典学派算学家欧道克萨斯提出了“黄金分割”的理论,利用尺规作图可画出已知线段的黄金分割点,具体方法如下:取线段
,过点
作
的垂线,并用圆规在垂线上截取
,连接
;以
为圆心,
为半径画弧,交
于点
;以
为圆心,以
为半径画弧,交
于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7186b756542b54106635d9256528aa91.png)
,则点
即为线段
的黄金分割点.如图所示,在
中,扇形区域
记为Ⅰ,扇形区域
记为Ⅱ,其余部分记为Ⅲ.在整个图形中随机取一点,此点取自Ⅰ,Ⅱ,Ⅲ的概率分别记为
,
,
,(参考数据:
)则
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/dc468805-3b20-47c0-b093-ff344b779f3b.png?resizew=233)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fa3aea72ccc36948a4a90f7368f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78844aa08462f17c8f0a9ae28c231f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7186b756542b54106635d9256528aa91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493139a1c94288bd86f90066527b63da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a06b68dc88cc22301870ad2819a1a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd5f7bf025453ec103adfac05bbf665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d85d8c1f8add55bdc8c393be3ba2ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac64da7f096fea95c25cfe54fe83d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9d7cb07ff7f2c4da5f7b33c5484c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8541e54177b29d4445c4bbad7b5a166.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/dc468805-3b20-47c0-b093-ff344b779f3b.png?resizew=233)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次