Junior high school inverse proportion function + Pythagorean theorem We know that n is a positive integer, P1 (x1, Y1), P2 (X2, Y2) ,P（xn,yn）,… Is the inverse scale function y = K / x, where X1 = 1, X2 = 2 ,xn=n,… Let A1 = x1y1, A2 = x2y2 ,An=xn yn+1,… If A1 = a (a is a nonzero constant), then A1 · A2 · ·The value of an is_______ (expressed by an algebraic expression containing a and N)

Junior high school inverse proportion function + Pythagorean theorem We know that n is a positive integer, P1 (x1, Y1), P2 (X2, Y2) ,P（xn,yn）,… Is the inverse scale function y = K / x, where X1 = 1, X2 = 2 ,xn=n,… Let A1 = x1y1, A2 = x2y2 ,An=xn yn+1,… If A1 = a (a is a nonzero constant), then A1 · A2 · ·The value of an is_______ (expressed by an algebraic expression containing a and N)

Because P1 (x1, Y1), P2 (X2, Y2) ,P（xn,yn）,… Is the inverse scale function y = K / x, a list of points on the image,
So x1y1 = x2y2 = x3y3 =... = k = a,
So A1 · A2 ·An
=A * a *... A (n)
=a^n