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证明:在AB上找点E,使AE=AC
∵AE=AC,∠EAD=∠CAD,AD=AD
∴△ADE≌△ADC。DE=CD,∠AED=∠C
∵AB=AC+CD,∴DE=CD=AB-AC=AB-AE=BE
∠B=∠EDB
∠C=∠B+∠EDB=2∠B
∵AE=AC,∠EAD=∠CAD,AD=AD
∴△ADE≌△ADC。DE=CD,∠AED=∠C
∵AB=AC+CD,∴DE=CD=AB-AC=AB-AE=BE
∠B=∠EDB
∠C=∠B+∠EDB=2∠B
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