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如图,已知△ABC、△DEB均为等腰直角三角形,∠ACB=∠EDB=90°,点E在边AC上,CB、ED交于点F.试说明:(1)△ABE∽△CBD;(2)CD∥AB.
人气:161 ℃ 时间:2020-01-30 01:20:00
解答
证明:(1)△ABC、△DEB均为等腰直角三角形,∠ACB=∠EDB=90°,∴∠ABE=∠CBD,EBBD=ABBC=22,∴△ABE∽△CBD;(2)∵∠ACB=∠EDB=90°∴点B、D、C、E四点共圆,∠CDE=∠CBE,∠CBD=∠ABE;∵△ABC、△DEB为等...
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