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Gaokao Math Practice Question

直线 $x+y+2=0$ 分别与 $x$ 轴, $y$ 轴交于 $A, B$ 两点, 点 $P$ 在圆 $(x-2)^{2}+y^{2}=2$ 上, 则 $\triangle A B P$ 面积的取值范围是 ($\qquad$)

  1. A.$[2,6]$
  2. B.$[4,8]$
  3. C.$[\sqrt{2}, 3 \sqrt{2}]$
  4. D.$[2 \sqrt{2}, 3 \sqrt{2}]$

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