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[几何] 几何最值(2)

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aishuxue posted 2013-12-15 21:25 |Read mode
Last edited by hbghlyj 2025-4-8 05:37以AB为直径的圆O与直线l相离, 且AB所在直线与l相交, 点P是直线l上一动点, 问:点P在什么位置,∠APB最大?

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kuing posted 2013-12-15 21:32
其实圆可以不管,$\odot O$ 与 $l$ 离不离都一样,结果都是当 $\triangle ABP$ 的外接圆与 $l$ 相切时。

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original poster aishuxue posted 2013-12-15 22:09
那这个外接圆如何尺规作图?

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kuing posted 2013-12-15 22:31
回复 3# aishuxue

bbs.pep.com.cn/forum.php?mod=viewthread&tid=360377,图片可能要登录才能看见。

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乌贼 posted 2013-12-15 23:55
回复 4# kuing
有意思,连接里厉害,$PPL$情况在初中版似乎见过。

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kuing posted 2013-12-16 00:03
回复 5# 乌贼

除了地球人都会的 PPP 和 LLL 之外,PPL 算是最简单的一个了

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