2.己知线段AB的长为2,点P是线段AB的黄金分割点,且AP>PB,那么AP=( )
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| A. | $\frac{{\sqrt{5}-1}}{2}$ | B. | $\frac{{\sqrt{5}+1}}{2}$ | C. | $\sqrt{5}$+1 | D. | $\sqrt{5}$-1 |