AECFDEBF的精选

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如图,AC与BD交于点O,AD=CB,E,F是BD上两点,且AE=CF,DE=BF.求*:(1)∠D=∠B;(...

如图,AC与BD交于点O,AD=CB,E,F是BD上两点,且AE=CF,DE=BF.求*:(1)∠D=∠B;(...

2021-01-27
问题详情:如图,AC与BD交于点O,AD=CB,E,F是BD上两点,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°...