己知函數(shù)f (x)=e2，xR

(1)求 f (x)的反函數(shù)圖象上點(diǎn)(1,0)處的切線方程。

(2)證明：曲線y=f(x)與曲線y=有唯一公共點(diǎn)；

(3)設(shè)a﹤b，比較與的大小，并說明理由。

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