解题方法
1 . 已知函数
,且满足________.
(1)求函数
的解析式;
(2)若关于x的方程
在区间
上有两个不同解,求实数m的取值范围.
从①
的图象与直线
的两个相邻交点之间的距离等于
;②
的两个相邻对称中心之间的距离为
.这两个条件中选择一个,补充在上面问题中并作答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c1ca29a48ae23d06e6b4e633fb064e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6522edf7261ffe65e7140354034535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257b5cac000fa7c846215d986d6aa90a.png)
从①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d0aa9412dd7caf42cc71520e282328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
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2 . 已知函数
.
(1)解关于
的不等式
;
(2)将函数
的图象向右平移
个单位长度后得到
的图象,求函数
在
上的最大值与最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f802aeddc3dd5af3ef49186672ded4ba.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bcf5c39cd6005441157b4a871279af7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb04e7a30ee1e9ef4c42363420369d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
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解题方法
3 . 已知函数
.
(1)如图,在
中,角
的对边分别为
,点
为
的中点.当
时,
分别等于
的最小值、最大值,且
,求
的长.
时,关于
的方程
有三个不同的解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580fec97f209b419348b6c85026e708.png)
(1)如图,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545ab10e0fbef16958436eafc041cd17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315116290dce11165908b4f3292d94c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924bb9ef16dff26bb68fee2d279a0d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e1f1a07c3df944364bebf762777991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2023-07-14更新
|
250次组卷
|
3卷引用:湖南省郴州市2022-2023学年高二下学期期末数学试题
4 . 已知向量
,且
,常数
.
(1)若
,求函数
在
的严格增区间;
(2)设实数
满足
.若对任意
,不等式
都成立,求
的值以及方程
在闭区间
上的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87caf889e87f095dbe8bbba6e5634dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cb5138a03b19266f82223899a614f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcee772e6187ac31d7f8d69b0487000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4908e3b4e523c042732ccb7c215aac99.png)
(2)设实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b05662c741be8ecba731fde7d3fc7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb73539af255bde55d682b0d0ca735f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e4ba6d5f2eea68442def1911957fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
您最近一年使用:0次
解题方法
5 . 已知向量
,向量
,记
.
(1)求
表达式;
(2)解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7738652d7ac1eea104b0f8335b9f7288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237b5494194f9ee361b06c49fc0c6351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e07c3bf84c475038091994e32980b3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256f3981024e53f373a80aad40e994ae.png)
您最近一年使用:0次
2021-11-17更新
|
557次组卷
|
2卷引用:江苏省苏州市2021-2022学年高三上学期期中数学试题
名校
6 . (1)已知
,求
的值;
(2)化简求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62cd67c117309fae43af4ef72cb4277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/805ad3e5ca347808461ae9103b5aa8d7.png)
(2)化简求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d95190da92a09e6903a0cf7e44cc626.png)
您最近一年使用:0次
名校
解题方法
7 . (1)已知
,
,求
的值
(2)化简并求值:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffb6e00f1387145fd3300527c974544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04515cee3fcef6932e8406ed1001abcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d1c5d56b61cbe60aad69145c1493fe.png)
(2)化简并求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3d7a5f6c90b981dc21f70d967aa482.png)
您最近一年使用:0次
名校
解题方法
8 . 化简求值
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f3bb03261f5ca5ac203dd8f89866bd.png)
(2)已知
,
,
,
,求
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f3bb03261f5ca5ac203dd8f89866bd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852fa088d3b348c8a418ab5c3b977ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab0f0e61713a059fc61832522acab1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f07029c97c324d32f258f18a96654a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfea1e888676a13ad69c72fba0405ea.png)
您最近一年使用:0次
名校
9 . 化简求值
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808bf4c81cf4b5c26fa789a6dd0b0174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3919d3025f2ac71c46f181218429.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df40742ebe5fca9ceb7a2e58afc1c007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598058af592db736d9c3aec6bd474166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2023-01-10更新
|
736次组卷
|
5卷引用:广东省广州市从化区第三中学2022-2023学年高一上学期期末数学试题
名校
解题方法
10 . 已知函数
,且满足_______.
(Ⅰ)求函数
的解析式及最小正周期;
(Ⅱ)若关于
的方程
在区间
上有两个不同解,求实数
的取值范围.从①
的最大值为
,②
的图象与直线
的两个相邻交点的距离等于
,③
的图象过点
.这三个条件中选择一个,补充在上面问题中并作答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6027c6e9f0577d6e671192b41da76ed8.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92002afa0b414eae387a91207c629398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e738bce4fa92616b5be79e7c605d8547.png)
您最近一年使用:0次
2020-06-03更新
|
1696次组卷
|
12卷引用:2020届北京市东城区高三一模考试数学试题
2020届北京市东城区高三一模考试数学试题江苏省常州市新桥高级中学2020-2021学年高三上学期第一次学情调研考试数学试题北京科技大学附属中学2021届高三10月月考数学试题2021届高三高考必杀技之结构开放题专练(已下线)专题02 三角恒等变换-备战2021年高考数学二轮复习题型专练(新高考专用)北京市育英中学2021届高三3月考数学试题北京五十七中2022届高三10月月考数学试题(已下线)第七章 三角函数(选拔卷)-【单元测试】2021-2022学年高一数学尖子生选拔卷(苏教版2019必修第一册)北京市海淀区育英中学2021-2022学年高一下学期期中考试数学试题北京市第五中学2022-2023学年高一(领航班)上学期第一次阶段检测数学试题辽宁省六校协作体2023-2024学年高二上学期期初考试数学试题北京市第四中学顺义分校2021-2022学年高一下学期期中考试数学试卷