若F1F2为双曲线的左右焦点,O为坐标原点,点P在双曲线的左支上,点M在双曲线的右准线上,且满足F1O向量=PM向量,OP向量=k(OF1/|OF1|+OM/|OM|),k>0,(前面括号里均是向量及向量的模)求双曲线离心率.请
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![若F1F2为双曲线的左右焦点,O为坐标原点,点P在双曲线的左支上,点M在双曲线的右准线上,且满足F1O向量=PM向量,OP向量=k(OF1/|OF1|+OM/|OM|),k>0,(前面括号里均是向量及向量的模)求双曲线离心率.请](/uploads/image/z/13787507-11-7.jpg?t=%E8%8B%A5F1F2%E4%B8%BA%E5%8F%8C%E6%9B%B2%E7%BA%BF%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%2CO%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%2C%E7%82%B9P%E5%9C%A8%E5%8F%8C%E6%9B%B2%E7%BA%BF%E7%9A%84%E5%B7%A6%E6%94%AF%E4%B8%8A%2C%E7%82%B9M%E5%9C%A8%E5%8F%8C%E6%9B%B2%E7%BA%BF%E7%9A%84%E5%8F%B3%E5%87%86%E7%BA%BF%E4%B8%8A%2C%E4%B8%94%E6%BB%A1%E8%B6%B3F1O%E5%90%91%E9%87%8F%3DPM%E5%90%91%E9%87%8F%2COP%E5%90%91%E9%87%8F%3Dk%EF%BC%88OF1%2F%7COF1%7C%2BOM%2F%7COM%7C%29%2Ck%3E0%2C%EF%BC%88%E5%89%8D%E9%9D%A2%E6%8B%AC%E5%8F%B7%E9%87%8C%E5%9D%87%E6%98%AF%E5%90%91%E9%87%8F%E5%8F%8A%E5%90%91%E9%87%8F%E7%9A%84%E6%A8%A1%EF%BC%89%E6%B1%82%E5%8F%8C%E6%9B%B2%E7%BA%BF%E7%A6%BB%E5%BF%83%E7%8E%87.%E8%AF%B7)
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