题目内容
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(Ⅰ)解:因为cos2C=1-2sin2C=
,及0<C<π
所以sinC=
.
(Ⅱ)解:当a=2,2sinA=sinC时,由正弦定理
,得
c=4
由cos2
C=2cos2C-1=
,J及0<C<π得
cosC=±
由余弦定理c2=a2+b2-2abcosC,得
b2±
b-12=0
解得 b=
或2

所以 b=
b=
c="4 " 或 c=4

所以sinC=

(Ⅱ)解:当a=2,2sinA=sinC时,由正弦定理

c=4
由cos2


cosC=±

由余弦定理c2=a2+b2-2abcosC,得
b2±

解得 b=






c="4 " 或 c=4
略
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