11-12高三下·山东济南·阶段练习
1 . 设函数
,其中向量
,
.
(1)求函数
的最小正周期和在
上的单调递增区间;
(2)
中,角
所对的边为
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3a03f4d09cddfaf4e54d6e46d9601e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec91a6334efd52ad82cf8a20f499e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f43a47929a2d92add01d5121a4f78a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93feb95cf28be16112c8ad23f32a995b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24209deb322db8f3b98c5d242962485e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd060e9a154e3678350753af43f3425a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90d7f054e8f0346479e1999622f11cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee7a9e28947c35b32f0201d52244e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8946c9edb6303fa8100a03a2a88c11.png)
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11-12高三下·山东济南·阶段练习
2 . 已知函数
.
(Ⅰ)求
的最小正周期和最大值;
(Ⅱ)求
的单调增区间;
(Ⅲ)求
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22cf85b1e7ae7b6ea1de4e73590d6122.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅲ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
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9-10高一下·湖南长沙·阶段练习
3 . 已知
为坐标原点,
,
(
,
是常数),若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a82a1bca29379e36254820745c553cd.png)
(1)求
关于
的函数关系式
;
(2)若
的最大值为
,求
的值;
(3)利用(2)的结论,用“五点法”作出函数
在长度为一个周期的闭区间上的简图,并指出其单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96244f47de70a66a879473275722974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277cdbc03186b179b3da51bf54d7c339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106347fdcdfc5406adf65da47c397dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a82a1bca29379e36254820745c553cd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)利用(2)的结论,用“五点法”作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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10-11高三·山东济宁·阶段练习
4 . 已知函数
.
(Ⅰ)求
的最小正周期;
(Ⅱ)把
的图像向右平移
个单位后,在
是增函数,当
最小时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d37aa8abbdfa45fb7f768324b730e3.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b9298e8c3029db5f374ddfb0995b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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11-12高三上·山东德州·阶段练习
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ebfa038ce0e573f72604b896881bff.png)
(Ⅰ)求
最小正周期和单调增区间
(II)当
时,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ebfa038ce0e573f72604b896881bff.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(II)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778662c16848db470c6537705b8a839c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2010·北京海淀·一模
6 . 已知函数
,
部分图像如图所示.
(I) 求
的值;
(II) 设
,求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec89c3bc454d209007c2b29baeeb3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a49fc00766e312fa318b3c7e8454340.png)
(I) 求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b5b8c4c24eab782174c5cae1b88a5.png)
(II) 设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d8f5ca96723161eedbe010b0be1733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://img.xkw.com/dksih/QBM/2010/4/10/1569695825993728/1569695927992320/STEM/083f264d564140599f1ff079dd9a8d68.png?resizew=192)
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