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CircularArcThrough[{p1,p2,…}]

表示通过点 pi 的圆弧.

CircularArcThrough[{p1,p2,…},q]

表示以 q 为圆心的圆弧.

CircularArcThrough[{p1,p2,…},q,r]

表示半径为 r 的圆弧.

更多信息
Details and Options Details and Options
范例  
基本范例  
范围  
应用  
基本应用  
属性和关系  
参见
历史
按以下格式引用：

CircularArcThrough

CircularArcThrough[{p1,p2,…}]

表示通过点 pi 的圆弧.

CircularArcThrough[{p1,p2,…},q]

表示以 q 为圆心的圆弧.

CircularArcThrough[{p1,p2,…},q,r]

表示半径为 r 的圆弧.

更多信息

范例

打开所有单元 关闭所有单元

基本范例  (2)

通过三点的圆弧：

Wolfram Language code: pts = {{Sqrt[2], 0}, {1, 1}, {0, Sqrt[2]}};
Wolfram Language code: CircularArcThrough[pts]

显示圆弧：

Wolfram Language code: Graphics[{%, Red, Point[pts]}]

通过一组点的圆弧的 ArcLength：

Wolfram Language code: ArcLength[CircularArcThrough[{{(1/2), (Sqrt[3]/2)}, {-(1/2), (Sqrt[3]/2)}, {-1, 0}}]]

范围  (3)

CircularArcThrough 适用于坐标：

Wolfram Language code: CircularArcThrough[{{1, 0}, {1, 1 / Sqrt[2]}, {0, 1}}]

多个点：

Wolfram Language code: CircularArcThrough[Point[{{0, 0}, {1, 0}, {0, 1}}]]

指定圆弧中心的约束：

Wolfram Language code: CircularArcThrough[{{0, 0}, {1, 0}, {0, 1}}, {1 / 2, 1 / 2}]

半径约束：

Wolfram Language code: CircularArcThrough[{{0, 0}, {1, 0}, {0, 1}}, {1 / 2, 1 / 2}, 1]

CircularArcThrough 适用于二维点：

Wolfram Language code: CircularArcThrough[{{0, 0}, {1, 0}, {0, 1}}]

应用  (3)

基本应用  (3)

可视化通过三个点的弧：

Wolfram Language code: pts = {{Sqrt[2], 0}, {1, 1}, {0, Sqrt[2]}};
Wolfram Language code: Graphics[{CircularArcThrough[pts], Red, Point[pts]}]

求通过三点的弧的隐式表示：

Wolfram Language code: RegionConvert[CircularArcThrough[{{Sqrt[2], 0}, {1, 1}, {0, Sqrt[2]}}], "Implicit"]

参数表示：

Wolfram Language code: RegionConvert[CircularArcThrough[{{Sqrt[2], 0}, {1, 1}, {0, Sqrt[2]}}], "Parametric"]

求三角形的外接圆：

Wolfram Language code: pts = {{Sqrt[2], 0}, {1, 1}, {0, Sqrt[2]}};
Wolfram Language code: CircularArcThrough[pts]
Wolfram Language code: Graphics[{%, Red, Triangle[pts]}]

属性和关系  (5)

CircularArcThrough 返回 Circle：

Wolfram Language code: pts = RandomPoint[Circle[{0, 0}, 1, {0, Pi / 2}], 20];
Wolfram Language code: CircularArcThrough[pts]

使用 RegionMember 检验点的成员资格：

Wolfram Language code: reg = CircularArcThrough[{{Sqrt[2], 0}, {1, 1}, {0, Sqrt[2]}}]
Wolfram Language code: RegionMember[reg, {1, 1} ]
Wolfram Language code: RegionMember[reg, {-1, 1} ]

CircularArcThrough 给出通过点的圆弧：

Wolfram Language code: pts = {{Sqrt[2], 0}, {1, 1}, {0, Sqrt[2]}};
Wolfram Language code: CircularArcThrough[pts]

获得整个圆：

Wolfram Language code: CircleThrough[pts]

使用 RegionFit 找到适合一组点的圆：

Wolfram Language code: points = CirclePoints[5];
Wolfram Language code: RegionFit[points, "Circle"]

通过前 3 个点的弧：

Wolfram Language code: CircularArcThrough[Take[points, 3]]

用 CirclePoints 在单位圆上生成等距点：

Wolfram Language code: pts = CirclePoints[3]

通过单位圆上点的圆弧：

Wolfram Language code: CircularArcThrough[pts]
Wolfram Research (2022)，CircularArcThrough，Wolfram 语言函数，https://reference.wolfram.com/language/ref/CircularArcThrough.html.

文本

Wolfram Research (2022)，CircularArcThrough，Wolfram 语言函数，https://reference.wolfram.com/language/ref/CircularArcThrough.html.

CMS

Wolfram 语言. 2022. "CircularArcThrough." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/CircularArcThrough.html.

APA

Wolfram 语言. (2022). CircularArcThrough. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/CircularArcThrough.html 年

BibTeX

@misc{reference.wolfram_2026_circulararcthrough, author="Wolfram Research", title="{CircularArcThrough}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/CircularArcThrough.html}", note=[Accessed: 05-September-2026]}

BibLaTeX

@online{reference.wolfram_2026_circulararcthrough, organization={Wolfram Research}, title={CircularArcThrough}, year={2022}, url={https://reference.wolfram.com/language/ref/CircularArcThrough.html}, note=[Accessed: 05-September-2026]}