解题方法
1 . 已知函数
的最小正周期为π,最大值为2,且过点
.
(1)求
的解析式;
(2)求
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede2c277b6a8f9ae7d19f5e0ad1a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
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2 . 定义在
上的函数
(
,
,
),若已知其在
内只取到一个最大值和一个最小值,且当
时函数取得最大值为3,当
,函数取得最小值为
.
(1)求出此函数的解析式.
(2)若将函数
的图象保持横坐标不变,纵坐标变为原来的
,得到函数
,再将函数
的图象向左平移
(
)个单位得到函数
,已知函数
的最大值为
,求满足条件的
的最小值.
(3)是否存在实数
,满足不等式
?若存在,求出
的范围,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b4af7d180d9187ec5bf5231cf8447b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3b19f680e39fc028cc5a9d69631e19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c3319647314c3b6d82958a909acd2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fec8124bd6c41fa4673ff838db16093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
(1)求出此函数的解析式.
(2)若将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe84f65c9c4345ae5ddcdafa89e7273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2193c0ec2431aeda608853c6c57e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d976fd43cf95c942b707ab0534e73f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe84f65c9c4345ae5ddcdafa89e7273.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196d1a7967c1d2b572e2dc940e8de7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 已知函数
.
(1)求
的最小正周期;
(2)当
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1410195a13701a6d6ff3c6d31c9176e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2020-03-05更新
|
490次组卷
|
3卷引用:福建省华安县第一中学2021届高三上学期期中考试数学试题
福建省华安县第一中学2021届高三上学期期中考试数学试题2020届浙江省绍兴市嵊州市高三上学期期末数学试题(已下线)3.1.1 两角差的余弦公式-2020-2021学年高一数学课时同步练(人教A版必修4)
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4 . 已知函数
.
(1)求函数
的最小正周期和单调递增区间;
(2)若
,且
的最小值是
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11620a3f87c0e70059db4c6de1c90cc3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6885b23dbe7fb5f3024020fe69c7f5de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3d1777146fa62b4539aef795f3c0cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3c99aaf06341ab22f14bb4c98b6290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5fffd330dd6b9241659d790bd2a7fb2.png)
您最近一年使用:0次
2016-12-04更新
|
760次组卷
|
7卷引用:2020届福建省长泰县第一中学高三上学期月考 数学(理)试题