名校
1 . 已知函数
(其中
,
).
(1)求它的定义域;
(2)求它的单调区间;
(3)判断它的奇偶性;
(4)判断它的周期性,如果是周期函数,求出它的最小正周期.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64580ddd4451df005cbd072c5bac6ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求它的定义域;
(2)求它的单调区间;
(3)判断它的奇偶性;
(4)判断它的周期性,如果是周期函数,求出它的最小正周期.
您最近一年使用:0次
名校
2 . 已知函数
.
(1)求
的最小正周期和对称轴;
(2)若
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d521ec8cc49f24c9f6a5c1ae961c54e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31aba8ca22579a6d5eed632aecff4548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-04-10更新
|
452次组卷
|
3卷引用:四川省眉山市彭山区第一中学2023-2024学年高一下学期4月月考数学试题
3 . 已知
.
(1)求
的最小正周期及单调递减区间;
(2)当
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d5b0943a8e74c4794060c2a14b523e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
4 . 已知函数
.
(1)求
的最小正周期;
(2)求
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea93e3e6f7fe483e9825fe9681ecf901.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c40aeeec9aa219c0af917fd34258282.png)
您最近一年使用:0次
名校
5 . 已知向量
,
,设函数
.
(1)求
的最小正周期;
(2)当
时,求函数
的最小值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa56fae73c8c7e4c6fcb4b2b05b51c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3226607aab749718b0564b7d1fd44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc1525aee9019a25cf71dc6054ec1ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2023高一上·全国·专题练习
6 . 求下列三角函数的一个周期:
(1)
,
;
(2)
,
;
(3)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bef504aed9ee5e886d5047527c638e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e960ab40ee6533d55c4eb3303bb4c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bd5a64d2d8f7011cdbc3b4fc0e2c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
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解题方法
7 . 已知函数
.
(1)求
的最小正周期
,并求出
取最大值时
的集合;
(2)求
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28fea2d20c4f4960a7245fadea42add.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023高一上·全国·专题练习
8 . 求下列函数的周期.
(1)
;
(2)
;
(3)
;
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2cad326bb278653ed97a4d1a380336b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a52f932fce8c6b253dafbe7fd2534f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b1828ddf23673cd2b45de1abd5adfe.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e810a66251035fb5f6be68e670c0d907.png)
您最近一年使用:0次
名校
解题方法
9 . 已知向量
,
,设函数
.
(1)求
的最小正周期;
(2)当
时,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fec5c527164122c631aa309f6c7f39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4b23f27974adeeb75811c17d2ba139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023-12-19更新
|
520次组卷
|
3卷引用:安徽省安庆市田家炳中学(安庆市第十中学)2024届高三上学期12月月考数学试卷
10 . 已知函数
.
(1)求函数
的最小正周期;
(2)求函数
的最大值和最小值以及取得最大值和最小值时
的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3b790c651d90b077a31d224b4dcebf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2023-12-14更新
|
878次组卷
|
2卷引用:新疆维吾尔自治区2023年普通高中学业水平考试数学试题(四)