如圖,AC與BD交於點O,AD=CB,E,F是BD上兩點,且AE=CF,DE=BF.求*:(1)∠D=∠B;(...
問題詳情：如圖,AC與BD交於點O,AD=CB,E,F是BD上兩點,且AE=CF,DE=BF.求*:(1)∠D=∠B;(2)AE∥CF.【回答】解:(1)∵在△ADE和△CBF中,∴△ADE≌△CBF(SSS),∴∠D=∠B.(2)∵△ADE≌△CBF,∴∠AED=∠CFB,∵∠AED+∠AEO=180°...
問題詳情：如圖,AC與BD交於點O,AD=CB,E,F是BD上兩點,且AE=CF,DE=BF.求*:(1)∠D=∠B;(2)AE∥CF.【回答】解:(1)∵在△ADE和△CBF中,∴△ADE≌△CBF(SSS),∴∠D=∠B.(2)∵△ADE≌△CBF,∴∠AED=∠CFB,∵∠AED+∠AEO=180°...