题干

如图,在x轴正半轴上依次截取OA1=A1A2=A2A3=…=An﹣1An(n为正整数),过点A1、A2、A3、…、An分别作x轴的垂线,与反比例函数y=
2
x
(x>0)交于点P1、P2、P3、…、Pn,连接P1P2、P2P3、…、Pn﹣1Pn,过点P2、P3、…、Pn分别向P1A1、P2A2、…、Pn﹣1An﹣1作垂线段,构成的一系列直角三角形(见图中阴影部分)的面积和是(  )

A:n-1n

B:nn+1

C:12n

D:14n

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A

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    Having experienced a shocking electrical accident, which caused him to become both blind and deaf, James Franco's world became completely dark and quiet for almost ten years. The loss of sight and hearing threw him into such sorrow that he tried a few times to put an end to his life. His family, especially his wife, did their best to tend and comfort him and finally he regained the will to live.

    One hot summer afternoon, he was taking a walk with a stick near his house when a thunderstorm started all at once. He stood under a large tree to avoid getting wet, but he was struck by lightning. Witnesses (目击者) thought he was dead but he woke up 20 minutes later, lying face down in muddy water. He was trembling badly, but when he opened his eyes, he could hardly believe what he saw: a tree and a muddy road. When Mrs. Franco came running up to him, shouting to their neighbors to call for help, he could see her and hear her voice for the first time in nearly ten years.

    The news of James regaining his sight and hearing quickly spread and many doctors came to examine him. Most of them said that he regained his sight and hearing from the shock he got from lightning. However, none of them could give a compelling answer as to why this should happen. The only reasonable explanation given by one doctor was that, since James lost his sight and hearing as a result of a sudden shock, perhaps, the only way for him to regain them was by another sudden shock.