For ABCD square. On BC take point E, through A line line perpendicular to AE, this line cuts CD at F. Let I be the midpoint of EF, AI cuts CD at K. Through E line line parallel to AB, this line cuts AI at G. a. Proof AE = AF. b. Prove that the EGFK quadrangle is rhombic. c. Proof of AKF homomorphism of CAF. d. On edge AB take the point M such that BE = BM. Find the position of point E on edge BC so that the area of DEM reaches the maximum...
Đọc tiếp
For ABCD square. On BC take point E, through A line line perpendicular to AE, this line cuts CD at F. Let I be the midpoint of EF, AI cuts CD at K. Through E line line parallel to AB, this line cuts AI at G. a. Proof AE = AF. b. Prove that the EGFK quadrangle is rhombic. c. Proof of AKF homomorphism of CAF. d. On edge AB take the point M such that BE = BM. Find the position of point E on edge BC so that the area of DEM reaches the maximum value
