已知如圖點(diǎn)e f分別在平行四邊形abcd的邊ab cd的延長(zhǎng)線上,且be=df.求證ac ef互相平分謝謝了,
已知如圖點(diǎn)e f分別在平行四邊形abcd的邊ab cd的延長(zhǎng)線上,且be=df.求證ac ef互相平分謝謝了,
數(shù)學(xué)人氣:199 ℃時(shí)間:2019-08-21 08:35:23
優(yōu)質(zhì)解答
AC與EF互相平分,連接CE,AF,∵平行四邊形ABCD,∴AB∥CD,AB=CD,又∵BE=DF,∴AB+BE=CD+DF,∴AE=CF,∴AE∥CF,AE=CF,∴四邊形AECF是平行四邊形,∴AC與EF互相平分;
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