如图,
,P是
内一点,
,Q、R分别是
、
上的动点,则
周长的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5784ea22dbd90af6cdceae43f80a22e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/4/51dc155f-2d96-456d-a979-adfde87e0e07.png?resizew=203)
更新时间:2023-07-04 18:07:43
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