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幼苗
共回答了16个问题采纳率:81.3% 举报
①正确
∠EAB=90°-∠BAP=∠DAP
AE=AP且AB=AD
所以△APD≌△AEB
③正确
△APD≌△AEB
∠AEB=∠APD=180°-∠APE=135°
∠BED=∠AEB-∠AEP=135°-45°=90°
EB⊥ED
②错误
△AEP是等腰直角三角形且AE=AP=1
EP=根号2
EB⊥ED且BP=根号5
BE=根号3
∠AEB=135°
所以B到AE的距离为根号6/2
④错误
S△APD+S△APB=S△AEB+S△APB=S△AEP+S△BEP
=1/2+根号6/2=(1+根号6)/2
⑤正确
AE=1且BE=根号3且∠AEB=135°
S□ABCD=AB^2=AE^2+BE^2-2AE*BE*cos∠AEB
=1+3+2根号3*根号2/2
=4+根号6
1年前
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