Question

Let the figure \(ABCDEF\)is a regular hexagon. Find all points \(M\)belonging to the hexagon such that :

                            \(S_{\Delta MAC}=S_{\Delta MCD}?\)

Answer 1

ACDF is a rectangle

\(S_{MAC}=S_{MCD}\) => (distance from M to AC) = CD/AC * (distance from M to CD) => \(M\in\)a straight line d passed C

Because FA/FD = CD/AC => FA = CD/AC * FD =>  \(F\in d\)

So \(M\in CF\)

Answer 2

 tìm n nguyên dương sao cho n+1 , 6n+1 và 20n+1 là số chính phương.

Answer 3

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