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数学
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如图,已知AE⊥BC于E,DF⊥BC于,AE=DF,AB=DC,AC与BD有怎样的关系?你能进行证明吗?
人气:408 ℃ 时间:2020-05-02 04:04:34
解答
AC=DB证明:∵AE⊥BC于E,DF⊥BC,∴∠AEB=∠DFC=90°.在Rt△ABE和Rt△DCF中AB=DCAE=DF,∴Rt△ABE≌Rt△DCF (HL),∴∠ABE=∠DCF.在△ABC和△DCB中AB=DC∠ABE=∠DCFBC=CB,∴△ABC≌△DCB(ASA),∴...
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