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PerpendicularBisector
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PerpendicularBisector

[试用]

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给出连接 p1 和 p2 的线段的垂直平分线.

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PerpendicularBisector[Line[{p1,p2}]]

给出指定线段的垂直平分线.

更多信息

范例

打开所有单元关闭所有单元

基本范例  (1)常见实例总结

计算一个线段的垂直平分线：

In[1]:=1
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-fe9uvj
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-pwxr6c
Out[2]=2

属性和关系  (2)函数的属性及与其他函数的关联

PerpendicularBisector 垂直于线段，并通过线段的 Midpoint：

In[1]:=1
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-rveal8
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-7kkynh
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-nsxjqu
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-pqvg7w
Out[4]=4
In[5]:=5
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-1fj59h
Out[5]=5

TriangleConstruct[{a,b,c},"PerpendicularBisector"] 等价于 PerpendicularBisector[{a,c}]：

In[1]:=1
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-pbxo9c
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-w4p61g
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-p5fcnh
Out[3]=3

可能存在的问题  (1)常见隐患和异常行为

PerpendicularBisector 只适用于二维的情况：

In[1]:=1
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https://wolfram.com/xid/0tgvp20ulj21y2ec7dni-bvul2q
Out[1]=1
Wolfram Research (2019)，PerpendicularBisector，Wolfram 语言函数，https://reference.wolfram.com/language/ref/PerpendicularBisector.html.
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Wolfram Research (2019)，PerpendicularBisector，Wolfram 语言函数，https://reference.wolfram.com/language/ref/PerpendicularBisector.html.

文本

Wolfram Research (2019)，PerpendicularBisector，Wolfram 语言函数，https://reference.wolfram.com/language/ref/PerpendicularBisector.html.

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Wolfram Research (2019)，PerpendicularBisector，Wolfram 语言函数，https://reference.wolfram.com/language/ref/PerpendicularBisector.html.

CMS

Wolfram 语言. 2019. "PerpendicularBisector." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/PerpendicularBisector.html.

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Wolfram 语言. 2019. "PerpendicularBisector." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/PerpendicularBisector.html.

APA

Wolfram 语言. (2019). PerpendicularBisector. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/PerpendicularBisector.html 年

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Wolfram 语言. (2019). PerpendicularBisector. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/PerpendicularBisector.html 年

BibTeX

@misc{reference.wolfram_2025_perpendicularbisector, author="Wolfram Research", title="{PerpendicularBisector}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/PerpendicularBisector.html}", note=[Accessed: 04-April-2025 ]}

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@misc{reference.wolfram_2025_perpendicularbisector, author="Wolfram Research", title="{PerpendicularBisector}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/PerpendicularBisector.html}", note=[Accessed: 04-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_perpendicularbisector, organization={Wolfram Research}, title={PerpendicularBisector}, year={2019}, url={https://reference.wolfram.com/language/ref/PerpendicularBisector.html}, note=[Accessed: 04-April-2025 ]}

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@online{reference.wolfram_2025_perpendicularbisector, organization={Wolfram Research}, title={PerpendicularBisector}, year={2019}, url={https://reference.wolfram.com/language/ref/PerpendicularBisector.html}, note=[Accessed: 04-April-2025 ]}