A, the coordinate of point e is (1, 1), if it is substituted into y 1=kx, the solution is: k= 1, and the analytical formula of hyperbola y 1 = 1x (x > 0).

B, the coordinate of point D is (1, 2). If k2=2 is replaced by y2=k2x, the analytical formula is: y2=2x, and the equation 1x=2x has no solution, so the two function images will never intersect in the first quadrant, so the proposition is wrong;

C, in y 1= 1x, let x=2 and get: y= 12, that is, NC= 12.

In y2=2x, let x=2 and the solution is: y= 1, then MC= 1, so MC=2NC is correct;

D. The image of the inverse proportional function y 1 moves up by one unit length, and the analytical formula of the function is: y= 1x+ 1, and the proposition is wrong.

So choose B.