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正方形,圆,距离和最值。

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guanmo1 posted 2021-12-12 15:43 |Read mode
Last edited by hbghlyj 2025-5-8 20:35正方形边长为6,圆半径为2,求PB+PC的最值

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kuing posted 2021-12-12 15:51
扔掉型高次方程

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original poster guanmo1 posted 2021-12-16 10:57
回复 2# kuing

有没有可能有平几解法?

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hbghlyj posted 2022-3-8 00:42
Last edited by hbghlyj 2024-12-16 00:41en.wikipedia.org/wiki/Alhazen's_problemAlhazen的台球问题(古堡朝圣问题)
1997 年,牛津数学家 Peter M. Neumann 证明了 Alhazen 问题的通解没有尺规构造(尽管在 1965 年 Elkin 已经提供了欧几里得构造的反例)。
ime.usp.br/~pleite/pub/artigos/neumann/reflec … spherical_mirror.pdf
讣告
$type Reflections on Reflection in a Spherical Mirror.pdf (761.87 KB, Downloads: 90)

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hbghlyj posted 2022-3-8 01:16

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hbghlyj posted 2022-3-8 01:28
arxiv.org/pdf/2111.00709.pdf
Theorem 4.6
一般地,圆锥曲线上的反射点由六次方程给出.

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Number of participants 1威望 +1 Collapse Reason
isee + 1 终于是看到一般结论了

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