EA⊥AC,EA=AC,CB⊥BH,CB=BH,D是EH中点,证明AB⊥BD,AB=BD.

hbghlyj · 2022-4-30 04:05

又找到一个文档,原文件名是ΟΜΟΡΦΗ ΑΣΚΗΣΗ ΓΕΩΜΕΤΡΙΑ1

EA⊥AC,EA=AC,CB⊥BH,CB=BH,D是EH中点,证明AD⊥BD,AD=BD.

证:延长EA到Z使AZ=AE,延长HB到T使BT=BH,则ET=2DB,ET∥DB,ZH=2AD,ZH∥AD,由△ECT≅△ZCH得证.

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[几何] EA⊥AC,EA=AC,CB⊥BH,CB=BH,D是EH中点,证明AB⊥BD,AB=BD.