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Gaokao Math Practice Question

12. (5 分) 设点 $P$ 在曲线 $y=\frac{1}{2} e^{x}$ 上, 点 $Q$ 在曲线 $y=\ln (2 x)$ 上, 则 $|P Q|$ 最小 值为 $(\quad)$

  1. A.$1-\ln 2$
  2. B.$\sqrt{2}(1-\ln 2)$
  3. C.$1+\ln 2$
  4. D.$\sqrt{2}(1+\ln 2)$

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