如图,AC⊥BC,AD⊥BD,AD=BC,AD,BC交于O.求证:OC=OD.

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如图,AC⊥BC,AD⊥BD,AD=BC,AD,BC交于O.求证:OC=OD.如图,AC⊥BC,AD⊥BD,AD=BC,AD,BC交于O.求证:OC=OD. 如图,AC⊥BC,AD⊥BD,A

如图,AC⊥BC,AD⊥BD,AD=BC,AD,BC交于O.求证:OC=OD.
如图,AC⊥BC,AD⊥BD,AD=BC,AD,BC交于O.求证:OC=OD.
 

如图,AC⊥BC,AD⊥BD,AD=BC,AD,BC交于O.求证:OC=OD.
∵AC⊥BC,AD⊥BD
∴∠C=∠D=90°
∵AD=BC,AB=AB
∴RT△ABD≌RT△BAC(HL)
∴∠BAD=∠ABC
∴OA=OB