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Gaokao Math Practice Question

在 $\triangle A B C$ 中, $A C=3, B C=4, \angle C=90^{\circ} . P$ 为 $\triangle A B C$ 所在平面内的动点, 且 $P C=1$, 则 $\overrightarrow{P A} \cdot \overrightarrow{P B}$ 的取值范围是 ($\quad$)

  1. A.$[-5,3]$
  2. B.$[-3,5]$
  3. C.$[-6,4]$
  4. D.$[-4,6]$

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