摘要:24. (1)方法一:作 BC′= BC.DC′=DC. 方法二:作∠C′BD=∠CBD.取BC′=BC.连结DC′. 方法三:作∠C′DB=∠CDB.取DC′=DC.连结BC′. 方法四:作C′与C关于BD对称.连结 BC′.DC′. -- 以上各种方法所得到的△BDC′都是所求作的三角形. 只要考生尺规作图正确.痕迹清晰都给3分. (2)解:∵△C′BD与△CBD关于BD对称. ∴∠EBD=∠CBD. 又∵矩形ABCD的AD∥BC ∴∠EDB=∠CBD. ∴∠EBD=∠EDB.BE = DE. 在Rt△ABE中.AB2+AE2=BE2.而AB=5.BC=12. ∴52+(12-BE)2=BE2 ··············································································· 5分 ∴所求线段BE的长是.············································································ 6分

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