问题 填空题

平行四边形ABCD中,对角线AC、BD相交于点O,若E、F是线段AC上的两动点,分别从A、C以相同的速度1cm/s向目标C、A运动,若BD=12cm,AC=16cm,在这个运动过程中,当运动时间t=______时,四边形DEBF是矩形.

答案

平行四边形ABCD中,AC、BD互相平分,

∵E、F分别从A、C以相同的速度1cm/s向目标C、A运动,

∴当四边形DEBF是矩形时,EF=16-2t=12,

解得t=2,

或EF=16-2(16-t)=12,

解得t=14.

综上所述,t=2秒或14秒时,四边形DEBF是矩形.

故答案为:2秒或14秒.

完形填空
完形填空。
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单项选择题 B型题