如图,点P是矩形ABCD内一点,连接PA、PB、PC、PD,设
、
、
、
的面积分别为
、
、
、
,以下四个判断:①当
时,B、P、D三点共线;②存在唯一一点P,使
;③不存在到矩形ABCD四条边距离都相等的点P;④若
,则
;其中正确的是_________ (写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177678001b2ccde1db8f57fa5e017002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8fe4026f1a0745ab9aa9fe64f0e482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae283ad0a944c7c18290c7a40b178d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8bc233a9902789a716fa0a31558dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31dd78e9156dcf6db93f6cbcc5b43b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a76796de61ae38bfdae5a542f3cd84.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/c762bae4-1489-4051-9162-208f505a19f2.png?resizew=161)
更新时间:2022-07-28 10:20:05
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中,O为对角线
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