题目内容
如图,BC是Rt△ABC的斜边,AP⊥平面ABC,连结PB、PC,作PD⊥BC于D,连结AD,则图中共有直角三角形___________个.![]()
答案:8
解析:由已知有Rt△PAB、Rt△PAC、Rt△ABC、Rt△ADP;
另由已知可证BC⊥平面APD,由BC⊥AD,BC⊥PD,得Rt△PBD、Rt△PDC、Rt△ADB、Rt△ADC,共8个.
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题目内容
如图,BC是Rt△ABC的斜边,AP⊥平面ABC,连结PB、PC,作PD⊥BC于D,连结AD,则图中共有直角三角形___________个.![]()
答案:8
解析:由已知有Rt△PAB、Rt△PAC、Rt△ABC、Rt△ADP;
另由已知可证BC⊥平面APD,由BC⊥AD,BC⊥PD,得Rt△PBD、Rt△PDC、Rt△ADB、Rt△ADC,共8个.