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- 数学PS -


The figure above shows 2 circles. The lager circle has center A, radius R cm, and is inscribed in a square. The smaller circle has center C, radius r cm, and is tangent to the larger circle at point B and to the square at points D and F. If points A, B,C,and E are collinear, which of the following is equal to $$\frac{R}{r}$$?
  • A$$\frac{2}{\sqrt{2}+1}$$
  • B$$\frac{2}{\sqrt{2}-1}$$
  • C$$\frac{2}{2\sqrt{2}+1}$$
  • D$$\frac{\sqrt{2}+1}{\sqrt{2}-1}$$
  • E$$\frac{2\sqrt{2}+1}{2\sqrt{2}-1}$$
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正确答案: D

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