题目内容
(本小题满分12分)已知函数
.
(Ⅰ)求函数
的周期和最大值;(Ⅱ)已知
,求
的值.

(Ⅰ)求函数
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(Ⅰ)周期为
,最大值为6
(Ⅱ)
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(Ⅱ)
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(Ⅰ)

=
.………… 3分
∴周期为
,…………………… 4分
最大值为6 ……………………5分
(Ⅱ)由
,得
.………………… 6分
∴
. …………………………… 7分
∴
, ………………………………………………… 8分
即
………… 9分
, ………………………………………………………10分
∴
. …………………………………………………… 12分
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=
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∴周期为

最大值为6 ……………………5分
(Ⅱ)由
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
∴
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∴
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即
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∴

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