![魔方格](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026210914-88488.png) (1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026210914-61998.png)
| AF | =2
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026210914-61998.png)
| BF | 时,图中有两对全等的三角形,分别是△ABF≌△PAD,△BPF≌△BPC; ∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026210914-61998.png)
| AF | =2
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026210914-61998.png)
| BF | , ∴∠FAB=30°, ∵AB为直径, ∴∠AFB=90°, ∴BF=AB=2, ∵∠DPA=∠PAB,∠ADP=∠AFB, AD=BF=2, ∴△ABF≌△PAD, ∵BC=BF=2,∠C=∠BFP,PB=PB, ∴Rt△BPF≌Rt△BPC.
(2)还有两次能构成全等三角形的情况.
![魔方格](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026210914-81185.png)
每次构成全等三角形时的图形如图. ①当AB=PB时,△AFB≌△PFB, ②当AP=PB时,△ADP≌△BCP. |