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由題意,橢圓的焦距、短軸長、長軸長成等差數列,∴4b=2c+2a∴2b=c+a∴4b2=c2+2ac+a2∴3a2-2ac-5c2=0∴5e2+2e-3=0∴(e+1)(5e-3)=0∴e=35故答案為:35
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