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A math interest group carried out an extracurricular activity.
Solution: (1) energy;

(2)① 22.5 ,

②∫aa 1 = a 1 a2 = a2 a3 = 1,A 1 A 2 ⊥A2A 3、

∴A 1 A 3 =,AA 3 =,

∫a2 a3 ⊥a 3 a4,

∴a 1 a2∑a3 a4

Similarly: A 3 A 4∑A 5 A 6,

∴∠A=∠AA 2 A 1 =∠AA 4 A 3 =∠AA 6 A 5

∴AA 3 =A 3 A 4,AA 5 =A 5 A 6

∴a 2 =A 3 A 4 =AA 3 =,

a 3 =AA 3 + A 3 A 5 =a 2 + A 3 A 5,

A 3 A 5 = a 2,

∴a 3 = a5 a6 = aa5 =;

(3) , , ;

(4) From the meaning of the question,

∴ 。