1 . 已知函数
,
的最小正周期为π.
(1)求
的对称中心;
(2)方程
在
上有且只有一个解,求实数n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64bb714137e4aa0a416063de8072815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21eee1388d43e4531f71cd44d536794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a0e9dc1483bf0cdca68168cb52bf2d.png)
您最近一年使用:0次
名校
2 . 已知向量
,
,函数
,
相邻对称轴之间的距离为
.
(1)求
的单调递减区间;
(2)将函数
图象上所有点的横坐标缩短为原来的
,再向左平移
个单位得
的图象,若关于x的方程
在
上只有一个解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1850bdd11afe706e6af6fad988152183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c096b19744a18657483bdbd78f578384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/496e9c35d63d9cb261b097106922c5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2818807dce7e9ec5514de572c3cc644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f9668f61feb72e3319d1f89776c17e.png)
您最近一年使用:0次
2023-09-14更新
|
2530次组卷
|
5卷引用:辽宁省重点高中沈阳市郊联体2024届高三上学期期中数学试题
3 . 在
中,角A,B,C所对的边长分别为
,b,c,且
,
,若此三角形有且只有一解,我们可以采用讨论方程根的办法来求b的取值情况,则b的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f2f1eb2beb23690f56a68dc7da08cb.png)
您最近一年使用:0次
名校
4 . 已知向量
,
,
,函数
.
(1)若
,求
在
上的单调递减区间;
(2)若关于
的方程
在
上有3个解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79affe1d9cc682ac28a0676b04e82ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b4256798a8e64a0a60614fe38cad75c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c25f1d401fe5fd8748bb7c89751493b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f4e3a35a42228e7984ff035e77d5ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8a4830a9a0993a0710edf448fe7521.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede74333f688be42a3890800161346db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2023-03-13更新
|
726次组卷
|
4卷引用:安徽省卓越县中联盟2022-2023学年高三上学期第一次联考数学试题
安徽省卓越县中联盟2022-2023学年高三上学期第一次联考数学试题湖北省部分普通高中联盟2022-2023学年高一下学期期中联考数学试题安徽省蚌埠第二中学2023-2024学年高三上学期期中考试数学试题(已下线)专题5-5 三角函数综合大题归类(2) - 【巅峰课堂】题型归纳与培优练
名校
5 . 已知函数
的部分图象如图.
(1)求
的表达式;
(2)将函数
的图象向左平移
个单位长度得到曲线
,把
上各点的横坐标保持不变,纵坐标变为原来的
倍得到函数
的图象.若关于
方程
在
上有两个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac4d44c28bbb6e383f093895ae4feda.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/20/ef35c807-4287-4679-866a-40e0b7c69b97.png?resizew=147)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91a09da1efd0f599dd4682f2284822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb2191ed90f3fcf752ea6d6f1005a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-06-17更新
|
915次组卷
|
3卷引用:江西省赣州立德虔州高级中学2022-2023学年高一下学期期中联考数学试题
江西省赣州立德虔州高级中学2022-2023学年高一下学期期中联考数学试题新疆生产建设兵团第二师八一中学2023-2024学年高二上学期8月开学考试数学试题(已下线)考点巩固卷10 三角函数的图象及性质(十一大考点)
名校
6 . 已知函数
,称向量
为
的特征向量,
为
的特征函数.
(1)若
,求
的特征向量;
(2)设向量
,
的特征函数分别为
,
.记函数
.
(i)求
的单调增区间;
(ii)若方程
在
上的解为
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66655b7a6825b124ce596197bf2aa14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7426e927be203401a7ea80f7e35e3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4478fcaef66e8a6a96925ce12d0f8e8f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c5b4c6226148352743ebc8ef875edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ddd8600e3f902ee2d98321474825e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c629dff301195b218588febb6e23a961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde66f0ef8ea3ac6d6ac91a93ba69ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b2373399a8dcbcfaa270d31e5e7bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638101f3a4386c7ca92d081305147fac.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(ii)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9270d7d0e74748bf2ebb84b536ac16bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f471062e94bfe5c6ca365927972af5.png)
您最近一年使用:0次
2023-06-17更新
|
196次组卷
|
3卷引用:江苏省徐州市2022-2023学年高一下学期期中数学试题
名校
7 . 已知向量
,
,若函数
的最小正周期为
.
(1)求
的单调递增区间:
(2)若关于
的方程
在
有实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50e5ac4665fb12ed3434a604211de77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c5cd95022a1ad86d6e1a6e9393e198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12ac0b3ff0ba4155d849c631fdc6a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc0435134bceb25759467afe83866ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864010f08ba5c814cbc9835b88c080c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-05-11更新
|
268次组卷
|
2卷引用:重庆市铜梁中学校2022-2023学年高一下学期期中数学试题
名校
8 . 已知函数
且函数
相邻两个对称轴之间的距离为
.
(1)求
的解析式及最小正周期;
(2)若方程
在
上的解为
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d184090b8811cbe9db797e5f48918a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cd83730c68b092f54903341b491c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e058eeb9cea0d93756125087c6655325.png)
您最近一年使用:0次
9 . 已知函数
(其中
),
.
(1)若两个不等的实数
,
满足
,且
的最小值为
,求函数
的单调减区间;
(2)若方程
在
上恰有唯一实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c2be3ff2d399a8415dbb1fac3d74b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)若两个不等的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e71b7cc594da8081cc8599f6e2c529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d8f824c2e65697997e11cac0a09534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
解题方法
10 . 已知函数
(其中
,
,
)的部分图象如图所示.将函数
的图象向右平移
个单位长度,得到函数
的图象.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/b3d03732-ffee-45ec-a7a2-0af7433e80f0.png?resizew=164)
(1)求
与
的解析式;
(2)令
,求方程
在区间
内的所有实数解的和.
![](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/6c1a7876bcfcfb06d2d0fcc4f7648586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d1308d5db144e31b4d0211c63ef52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/b3d03732-ffee-45ec-a7a2-0af7433e80f0.png?resizew=164)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f269ddbab957d12000d962309b5cafbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8ec0ccdb6db6fbaeb1172e281ec22f.png)
您最近一年使用:0次