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Kneel online for 20 13 National College Entrance Examination Volume 1 Science Mathematics 18.
1) is followed by A 1B, and the midpoint d of AB is followed by CD, a1d.

∫AB = aa 1,∠BAA 1=60

∴△AA 1B is an equilateral triangle.

AB⊥A 1D

CA = CB

∴AB⊥C 1D

AB⊥ Aircraft A 1CD

∴AB⊥A 1C

2) take the midpoint e of B 1C 1 and connect A 1E, CE.

AB = CB = 2

∴a 1b 1=b 1c 1=c 1a 1=a 1c=2

△A 1B 1C 1 is an equilateral triangle.

a 1E =√3/2b 1c 1 =√3

sin∠a 1CE = a 1E/a 1C =√3/2