证明:如下构造的空间曲线
的任意五等分点组都不在同一球面上,曲线
的构造:作周长为
的圆
,在圆
上取
使
的长度
,并以
为轴将
旋转
得弧
,在圆
上取
,使
的长度
的长度
,并以
为轴将
旋转
度
得弧
,这样,由弧
组成的曲线便是空间曲线.(如图所示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f69efb8aaef270592e2a32f9f6fd0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f080d52915f40ffb67cafe152a2055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f201a6027943943b7676e9df993c7beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f69efb8aaef270592e2a32f9f6fd0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9038d9adf9dc5b1681d7d64b61841b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698c5e524a28c65596a98d2d4c1792df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f69efb8aaef270592e2a32f9f6fd0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe2120b570a8a20ddb2a8f52303d277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f201a6027943943b7676e9df993c7beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698c5e524a28c65596a98d2d4c1792df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4e305b89e39d4297d014129e5f0bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018a5b0c0e1883258c6b9b1c359d02a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03cb43d6dce3af40aceb3525fb4c073a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/5cdf04bd-85fc-4e23-863e-03c4cf7c33c9.png?resizew=176)
2021高三·全国·竞赛 查看更多[1]
更新时间:2021-07-21 17:18:42
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