名校
解题方法
1 . 已知函数
.
(1)求函数f(x)的最小正周期T及
的值;
(2)若关于x的方程
在
上有2个解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae439d886fe8a1018a721cb88a7398f.png)
(1)求函数f(x)的最小正周期T及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d29aa82b623c3e269ac0fd9ea25d44e.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c6c40a86e34278ecfe43ee4af2dd0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cfbc3d95b19e1592ef1724245cfaa4.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)求函数
的最小正周期;
(2)求函数
在
上的最小值;
(3)若关于
的方程
在区间
上有两个不同解, 求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d87d54f3ff5f940cf621febefd67b8.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/43ba446215e74eb5332dabcfb14836c9.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2022-05-11更新
|
378次组卷
|
2卷引用:北京市第五十中学2021-2022学年高一下学期期中考试数学试题
名校
3 . 已知函数
,
的最小正周期为
.
(1)方程
在
上有且只有一个解,求实数
的取值范围;
(2)是否存在实数
满足对任意
,都存在
,使
成立.若存在,求
的取值范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7865a907345c101f6eebe3af0c185130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c810e7f6a62eef3ee38cb0fea77630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acfe4c3097b7c51ae97c7d223c8bfda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a3163cc2d37e7b7fe450f6e8bf8500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba8542fbe02e78cf3948c9abea9855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3da020914adc18f7b5e25079e781bb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2022-05-19更新
|
406次组卷
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2卷引用:辽宁省沈阳市第一二〇中学2021-2022学年高一下学期期中考试数学试题
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4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
的部分图象如下图所示.
![](https://img.xkw.com/dksih/QBM/2021/9/21/2812834871418880/2815239065108480/STEM/0df3521e63494401a0cf171ffda178bf.png?resizew=185)
(1)解不等式
;
(2)若存在
,对任意
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34108a454b7c0f9455a4a688688bbcd.png)
![](https://img.xkw.com/dksih/QBM/2021/9/21/2812834871418880/2815239065108480/STEM/0df3521e63494401a0cf171ffda178bf.png?resizew=185)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98c0296c6ac48e3bbae5639e6e7714c.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e4f339ee59b5f58f22a4a68d1f4bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec25b9d7ca47b780a744c2ebbf31d925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4a55719c5582a510e3edad8571c42f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
5 . 已知函数
.
(1)求函数的最小正周期;
(2)求函数
的单调递增区间;
(3)若方程
在
内有两个不同的解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd273b25f60b7c26050774ab69a69b5.png)
(1)求函数的最小正周期;
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dd1fd5ad69fb4df1409e777c89d812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb554859a02fcc1c5d79b7ba1ddbd9.png)
您最近一年使用:0次
2022-05-07更新
|
789次组卷
|
3卷引用:北京市东直门中学2021 - 2022学年高一下学期期中考试数学试题
6 . 已知函数
.
(1)求函数
的增区间;
(2)方程
在
上有且只有一个解,求实数m的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38dc58c3df4680b04ac80da3b3e0a1a8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
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2022-04-20更新
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488次组卷
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3卷引用:甘肃省民乐县第一中学2021-2022学年高一下学期期中考试数学试题
7 . 已知向量
与向量
,并且函数
满足
.
(1)求
的值域与函数图象对称中心;
(2)若方程
在区间
内有两个不同的解
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e4cc854ea51b18f8f035e2eef2a198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b37e4568bb713cb4348b778dcf4c5c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7117bea1fb75ad1569116b138e5530f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75eb613181958da2ce3d20db4fd5f07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de694144e7993d8a34e6c5d98664d031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3928aeb4c47b47e63dd47f71077605.png)
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2021-11-12更新
|
337次组卷
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2卷引用:江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(理)试题
名校
8 . 设
,函数
的图像是由函数
的图像经如下变换得到:先将
图像上所有点的纵坐标伸长到原来的
倍(横坐标不变),再将所得到的图像向右平移
个单位长度.
(1)求函数
的解析式,并求其图像的对称轴方程;
(2)已知关于
的方程
在
内有两个不同的解
、
,
①求实数
的取值范围;
②证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e663a09cdcde628b5633a6ab07dd55b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0112b805a6f654552c73faa57563ac8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24192cace1d2a643fc3a42a5b7ac273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e228c185ab887fbbc46b4e06cb13e1.png)
您最近一年使用:0次
名校
解题方法
9 . 已知向量
,
,
,函数
.且满足函数
的图象相邻两条对称轴之间的距离
.
(1)求
的表达式,并求方程
在闭区间
上的解;
(2)在
中,角
,
,
的对边分别为
,
,
.已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6476ef01d84523be57715ce979320f90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86bcf9570ed923f491136196880be74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c25f1d401fe5fd8748bb7c89751493b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6513d8fd81b4a3680ac8f75184c6610d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec308173689e84d09070ad1367ac6ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
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2021-10-12更新
|
605次组卷
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3卷引用:安徽省滁州市定远县民族中学2022-2023学年高三上学期11月期中数学试题
名校
解题方法
10 . (1)用列表描点法画出
,
的简图;
(2)结合函数
的图象,若方程
,其中
有两个实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23554b9e529f6fcd02c751f4e8928595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b604c6522119e77c1cb16b91532a2c1.png)
(2)结合函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b604c6522119e77c1cb16b91532a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次