Question

BM CN是△ABC的高,点P在直线BM上,点Q在直线CN上,且BP=AC CQ=AB

Answer 1

(1)AQ与AP的大小关系AP=AQ∵BM CN是△ABC的高∴∠BMC=∠BNC=90°∴∠DBN+∠BDN=90°∠DCM+∠CDM=90°∵∠BDN=∠CDM∴∠DBN=∠DCM∵BP=AC AB=CQ∴△ABP ≌△QCA∴AP=AQ(2)AQ与AP位置关系AP⊥AQ ∵△ABP ≌△QCA∴∠BAP=∠Q∵∠Q+∠NAQ=90°∴∠BAP+∠NAQ=90°∴AP⊥AQ