The following propositions are given: proposition 1. The point (1,1) is an intersection of the straight line y = x and the hyperbola y = 1x; Proposition 2. The point (2,4) is an intersection of the straight line y = 2x and the hyperbola y = 8x; proposition 3. The point (3,9) is an intersection of the straight line y = 3x and the hyperbola y = 27x (1) please observe the above proposition and conjecture proposition n (n is a positive integer); (2) use the conjecture of the above question to directly write the solution of inequality 2010x > 20103x

The following propositions are given: proposition 1. The point (1,1) is an intersection of the straight line y = x and the hyperbola y = 1x; Proposition 2. The point (2,4) is an intersection of the straight line y = 2x and the hyperbola y = 8x; proposition 3. The point (3,9) is an intersection of the straight line y = 3x and the hyperbola y = 27x (1) please observe the above proposition and conjecture proposition n (n is a positive integer); (2) use the conjecture of the above question to directly write the solution of inequality 2010x > 20103x

(1) Proposition n: point (n, N2) is a straight line y = NX and a hyperbola y = n3x, (n is a positive integer). (2) from (1), we get that one intersection of the straight line y = 2010x and the hyperbola y = 20103x is (201020102), and the other intersection coordinates are (- 2010, - 20102) from the central symmetry, so the solution of the inequality is x > 2010 or - 2010 < x < 0