2010成都市数学中考第24题解题思路与过程
解:∫x 1 = 1，X2=2…Xn=n，y = k/x …
∴Y1=k,Y2=k/2…Yn=k/n…
∫A 1 = x 1 y2 = A，A2 = X2Y3 … An = XNYN+1 …
∴y2=k/2=a,y3=k/3=2a/3…yn=k/n=2a/n,yn+1=2a/(n+1)…
∴a1×a2×…×an=1×a×2×2a/3×3×…×2a/n×n×2a/(n+1)
=[(2a)^n]/(n+1)