题目内容
已知,如图,平行四边形ABCD中,BE平分∠ABC交AD于E,若AB=5,BC=8,则AE=______,DE=______.
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在平行四边形ABCD中,则AD∥BC,
∴∠AEB=∠CBE,
∵BE平分∠ABC,
∴∠ABE=∠AEB,即AB=AE=5,
∴DE=AD-AE=8-5=3.
故答案为:5,3.
∴∠AEB=∠CBE,
∵BE平分∠ABC,
∴∠ABE=∠AEB,即AB=AE=5,
∴DE=AD-AE=8-5=3.
故答案为:5,3.
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