已知：如图，在等边三角形ABC中，D、E分别为BC、AC上的点，且AE=CD，连接AD、BE交于点P

已知：如图，在等边三角形ABC中，D、E分别为BC、AC上的点，且AE=CD，连接AD、BE交于点P

证明：∵△ABC是等边三角形，∴AB=AC=BC，∠C=∠ABC=60°，∵AE=CD，∴EC=BD；∴△BEC≌△ADB（SAS），∴∠EBC=∠BAD；∵∠ABE+∠EBC=60°，则∠ABE+∠BAD=60°，∵∠BPQ是△ABP外角，∴∠ABP+∠BAP=60°=∠BPQ，又∵BQ⊥AD，∴∠PBQ=30°，∴BP=2PQ．======以下答案可供参考======供参考答案1:怎么没图供参考答案2:Desire is a kind of beauty ? ? lover's home in the countryside, every time, and he returned home to visit elderly people, he will say, when we retire, and return home built two rooms, in a small courtyard kinds of order, raising points to spend, to raise chickens, and we to live a pastoral life How beautiful. ? ? ? ? years in the city who will go to holiday villages, seaside and other places to run, they hustle and bustle of daily life in the city, when they want to enjoy freedom,sandales christian louboutin, and would like to hear rural sound of running water brook, to see autumn leaves villages, they went,Beats By Dre Studio, will be happy to say so retired to the countryside to buy a house, had a heavenly day. ? ? ? ? cousin, a family of three last year, came to our town to see the street traffic is not crowded, the air is better than their big city, niece very happy, I'll take you to villages that day, that the air better, you will be more happy,Chaussure Christian Louboutin, the next day we drove to his home village when he first entered the better way to go, or asphalt can be a dirt road into t

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