下边两题来源于网上，供有兴趣者消遣 ^0^
1. Please help in this really hard proof problem:
AB is the diameter of a semicircle. Points C and D are ANY two points on the arc of the semicircle. AD and BC intersect at E. AC and BD are extended to meet at F. Prove that FE extended is perpendicular to AB.
I need any help possible because i have no idea of how to solve this proof problem!! plzzzzzzzzzzzzzz
2. Prove that for any n > 5, it is possible to divide a square into exactly n parts, each of which is also a square.
1. Please help in this really hard proof problem:
AB is the diameter of a semicircle. Points C and D are ANY two points on the arc of the semicircle. AD and BC intersect at E. AC and BD are extended to meet at F. Prove that FE extended is perpendicular to AB.
I need any help possible because i have no idea of how to solve this proof problem!! plzzzzzzzzzzzzzz
2. Prove that for any n > 5, it is possible to divide a square into exactly n parts, each of which is also a square.
