The side length of square ABCD is 4, M is the midpoint of AD, and point E is the moving point of line ab. it connects EM and extends the intersection line CD to F, and makes the intersection line B of EF through M (1) If M passes through point C, the length of AE is obtained (2) Can CG be equal to AE? If so, find the length of AE

The side length of square ABCD is 4, M is the midpoint of AD, and point E is the moving point of line ab. it connects EM and extends the intersection line CD to F, and makes the intersection line B of EF through M (1) If M passes through point C, the length of AE is obtained (2) Can CG be equal to AE? If so, find the length of AE

(1) The triangle AMF and MFD are congruent, and AE = DF and EM = MF are obtained. So m is the midpoint of the bottom edge of the triangle CEF, and it is also perpendicular, and CE = CF is obtained. In this way, (4-ce) ^ 2 + 4 ^ 2 = (4 + CE) ^ 2 is obtained. Where is CE = 1 (2) g? If it is the intersection of the vertical line passing through M and CD, then CG = AE when e is the midpoint of ab