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A complete collection of wrong questions in mathematics
The first problem is not a diamond, but a parallelogram; Only EF= 1/2 AC=HG and EH=FG can be obtained.

The second question is divided into 1 and 3. Think about it, the bisector of the angle is divided into squares. Then in two cases, you draw a picture and see that the side length of this square is 1 or 3, so the final answer is 4 or12;

The third question, drawing, can be seen that m is in the middle of AE (triangle ABE and triangle BAF are congruent), AE=5, and m is the midpoint of the hypotenuse, which is equal to 2.5.