已知f(x)=x-1/x-alnx (a属于R)若有两个极值点x1x2,记过点A(x1,f(x1)),B(x2,f(x2))的直线斜率为k.问:是否存在a,使得k=2-a?若存在a,求出的值;若不存在,请说明理由.最后答案有x2-1/x2-2lnx2=0是怎么来的?
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![已知f(x)=x-1/x-alnx (a属于R)若有两个极值点x1x2,记过点A(x1,f(x1)),B(x2,f(x2))的直线斜率为k.问:是否存在a,使得k=2-a?若存在a,求出的值;若不存在,请说明理由.最后答案有x2-1/x2-2lnx2=0是怎么来的?](/uploads/image/z/14740383-39-3.jpg?t=%E5%B7%B2%E7%9F%A5f%28x%29%3Dx-1%2Fx-alnx+%28a%E5%B1%9E%E4%BA%8ER%29%E8%8B%A5%E6%9C%89%E4%B8%A4%E4%B8%AA%E6%9E%81%E5%80%BC%E7%82%B9x1x2%2C%E8%AE%B0%E8%BF%87%E7%82%B9A%28x1%2Cf%28x1%29%29%2CB%28x2%2Cf%28x2%29%29%E7%9A%84%E7%9B%B4%E7%BA%BF%E6%96%9C%E7%8E%87%E4%B8%BAk.%E9%97%AE%EF%BC%9A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8a%2C%E4%BD%BF%E5%BE%97k%3D2-a%3F%E8%8B%A5%E5%AD%98%E5%9C%A8a%2C%E6%B1%82%E5%87%BA%E7%9A%84%E5%80%BC%EF%BC%9B%E8%8B%A5%E4%B8%8D%E5%AD%98%E5%9C%A8%2C%E8%AF%B7%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.%E6%9C%80%E5%90%8E%E7%AD%94%E6%A1%88%E6%9C%89x2-1%2Fx2-2lnx2%3D0%E6%98%AF%E6%80%8E%E4%B9%88%E6%9D%A5%E7%9A%84%3F)
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