题目内容
解析:由a =
,b = 2,c = 3,得cos A =
=
=
,∴∠A = 60°,∠O1AD = 30°,∴ r 1 =
=
=
,AO1 = 2 r 1,而
=
=
,∴ r 2 =
r 1,同理r 3 =
r 2,…,r n =
r n 1,∴ S2 =
S1,…,Sn =
S n 1,S1 = π r
=
( 16 5
),∴ S =
=
S1 =
( 16 5
)。
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