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Gaokao Math Practice Question

若过点 $(a, b)$ 可以作曲线 $y=\mathrm{e}^{x}$ 的两条切线, 则 ($\quad$)

  1. A.$\mathrm{e}^{b}<a$
  2. B.$\mathrm{e}^{a}<b$
  3. C.$0<a<\mathrm{e}^{b}$
  4. D.$0<b<\mathrm{e}^{a}$

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