一道双曲线求离心率的题已知双曲线C:x^2/a^2-y^2/b^2=1(a>0b>0)的右焦点为F,过F作双曲线C的一条渐近线的垂线,与双曲线交于M,垂足为N,若M为线段FN的中点,则双曲线C的离心率为
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![一道双曲线求离心率的题已知双曲线C:x^2/a^2-y^2/b^2=1(a>0b>0)的右焦点为F,过F作双曲线C的一条渐近线的垂线,与双曲线交于M,垂足为N,若M为线段FN的中点,则双曲线C的离心率为](/uploads/image/z/9885921-33-1.jpg?t=%E4%B8%80%E9%81%93%E5%8F%8C%E6%9B%B2%E7%BA%BF%E6%B1%82%E7%A6%BB%E5%BF%83%E7%8E%87%E7%9A%84%E9%A2%98%E5%B7%B2%E7%9F%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFC%3Ax%5E2%2Fa%5E2-y%5E2%2Fb%5E2%3D1%28a%3E0b%3E0%29%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9%E4%B8%BAF%2C%E8%BF%87F%E4%BD%9C%E5%8F%8C%E6%9B%B2%E7%BA%BFC%E7%9A%84%E4%B8%80%E6%9D%A1%E6%B8%90%E8%BF%91%E7%BA%BF%E7%9A%84%E5%9E%82%E7%BA%BF%2C%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BF%E4%BA%A4%E4%BA%8EM%2C%E5%9E%82%E8%B6%B3%E4%B8%BAN%2C%E8%8B%A5M%E4%B8%BA%E7%BA%BF%E6%AE%B5FN%E7%9A%84%E4%B8%AD%E7%82%B9%2C%E5%88%99%E5%8F%8C%E6%9B%B2%E7%BA%BFC%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA)
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