Current location - Health Preservation Learning Network - Slimming men and women - In class, Teacher Zhou showed the following questions. Xiao Ming and Xiao Cong perform on the blackboard respectively. Please also answer this question: on the rectangle AB.
In class, Teacher Zhou showed the following questions. Xiao Ming and Xiao Cong perform on the blackboard respectively. Please also answer this question: on the rectangle AB.
Solution: (1)∵ From folding, it can be known that △ABE is an isosceles right triangle.

∴AE = ab = 20cm;

(2) ∵ According to the folding, AG=AB, ∠GAE=∠BAE, ∵ Point P is the midpoint of AB,?

∴ AP= AB,∴ AP= AG,?

In Rt△APG, ∠ gap = 60, ∴ ∠ EAB = 30,

In Rt△EAB, AE= AB= cm.

(3) EH⊥AD is at point H, even BF. From folding, we know that DE=BE,

AF = FG,DF=AB,GD=AB,

∴△abf?△GDF, and: △△GDF =∠CDE, GD=CD,

? ∴ Rt△GDF≌Rt△CDE

∴ DF=DE=BE,

At Rt△DCE, DC 2 +CE 2 =DE 2.

CB = 25,CD=20,20 ^ 2+ce2 =(25-CE)2,

∴ CE=4.5,BE=25-4.5=20.5,HF=20.5-4.5= 16,

At Rt△EHF,

∫EH 2+HF 2 = Fe2,20 2 + 16 2 =FE 2,?

∴ EF= = cm