1 . 已知函数
,若
的最小正周期为
.
(1)求
的解析式;
(2)若函数
在
上有三个不同零点
,
,
,且
.
①求实数a取值范围;
②若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a4d78af8b6643a1975004504a88ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9590ce4b87b155d12b86575d5586d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7afbd154d5f993012b880e4e0c7f9821.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
①求实数a取值范围;
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ab9d32c4767471d75d3e2cf52520e7.png)
您最近一年使用:0次
23-24高一上·山东德州·期末
解题方法
2 . 已知函数
,当
时,
的最小值为
.
(1)求
;
(2)若
,求a的值及此时
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611451a2f933d5aada91afb39c65e696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c1547d887b29e39542997731a5288b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982ecaa2793a1b8fc2c4596f3b9a506c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2024-02-08更新
|
526次组卷
|
6卷引用:山东省德州市2023-2024学年高一上学期期末考试数学试题
(已下线)山东省德州市2023-2024学年高一上学期期末考试数学试题(已下线)考点10 与二次函数相关的复合函数问题 --2024届高考数学考点总动员【练】山东省青岛第九中学2023-2024学年高一下学期期初检测数学试卷(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)(已下线)专题02 三角函数图形与性质的12种常考题型归类(1)-《期末真题分类汇编》(北师大版(2019))(已下线)专题08 期末必刷解答题专题训练的7种常考题型归类-期末真题分类汇编(北师大版2019必修第二册)
23-24高一·全国·假期作业
名校
3 . 已知函数
,且满足
.
(1)求实数
的值;
(2)若函数
的图像与直线
的图像只有一个交点,求
的取值范围;
(3)若函数
,是否存在实数
使得
的最小值为0?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064d1171585eb597a3bac796d988f8f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e133b6374c6fe9b0e5e52ec1a6867eb4.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a16a128d07b4d4232f79d013c14ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae98838183fdf8d3290aa6be44cfeeb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
4 . 已知函数
,
.
(1)求函数
在区间
上的最小值;
(2)若函数
,且
的图象与
的图象有3个不同的交点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1462a1906c6bc21913902ea0e4a7ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49723fcae368064d6e4d44fa4bad1ae4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77e694d52a084565a4cc3d689d4a32e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b58435e488fb30016f2109f4ff060b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203dba0b34d75467e6a0d283d29f5ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f4ab890a5f38debf3a5ceb1648ed1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2024-01-24更新
|
274次组卷
|
2卷引用:四川省南充市2023-2024学年高一上学期期末学业质量监测数学试题
名校
解题方法
5 . 已知函数
.
(1)若方程
的两根为
与
,求
的值;
(2)设函数
,若
的最小值为1,求实数
的值;
(3)设函数
,记
为
的反函数,设函数
,当
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e7c1e306fe3124dc730b2f8f681bdd.png)
(1)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124f5d03ab9692ef07f1ad6913e4b0e7.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/450398974b1561ca801e102e16df6789.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489c86eac6482ddbc9d704b0debb4c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec52b67f780fa3f0eff0197a20a17b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686a0e76d6c06d4a507e47833eaa5755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f196f6236188084f3b2c9f2b68c05c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34a33d135646e1b7581ecac91fbcffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9907849f70ca76e2d5cc80b5ced07452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8380ca790c38c3ebae35965834016f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-20更新
|
313次组卷
|
2卷引用:辽宁省大连市2023-2024学年高一上学期期末考试数学试卷
名校
6 . 已知函数
,
,
与
互为反函数.
(1)若函数
在区间
内有最小值,求实数m的取值范围;
(2)若函数
,关于方程
有三个不同的实数解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59eb51198230d07417b0807d6483855c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83b1e7c9c195e8d2c5f747a20038a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef2b7bc9b4b7e3e77002bea81505aae.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a8f104c36a350e803917cbfb216cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1836617c985de8b269a2c14203da0a.png)
您最近一年使用:0次
解题方法
7 . 已知函数
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca6c00903b9dd306287ba3bb91035.png)
(1)若对任意的
,总存在
,使得
,求a的取值范围;
(2)设
,记
为函数在
上的最大值,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7215124081342ba1d78c39b2c98d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56dcd5cbb109fd4cc909e7c41c9eefc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca6c00903b9dd306287ba3bb91035.png)
(1)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0496d81c441e6cfa9c26ff7e83746eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a32fef274f43f90a37c57c46f2c670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3125c342e7fcc6ba0aff633dbaf8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760f804646698060703c5458ff5637c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760f804646698060703c5458ff5637c7.png)
您最近一年使用:0次
2023-08-02更新
|
687次组卷
|
2卷引用:江苏省徐州市邳州市新世纪学校2022-2023学年高二下学期期末模拟数学试题
名校
8 . 已知函数
,
,记函数
,若函数
恰有三个不同的零点
,且
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e550103083d4bb6c61e70a0c47b1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ddac37d332169a34598a63b4634b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33fee0dbe3b91cf9a40751320b48fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5413db5866f32fafffda977dbdc4c9d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-06-25更新
|
1266次组卷
|
4卷引用:陕西省商洛市镇安中学2023届高三下学期模拟考文科数学试题
陕西省商洛市镇安中学2023届高三下学期模拟考文科数学试题江西省清江中学2022-2023学年高二下学期6月期末数学试题(已下线)第四章 导数与函数的零点 专题三 复合函数零点问题 微点2 复合函数零点问题(二)(已下线)【一题多变】函数零点问题
解题方法
9 . 已知
是函数
的零点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760737dff8d5a65968edef05d83537a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90da8172009e7d2e9c4a2733e8992f8.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 若函数
有两个极值点
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca877d5f8d1bd0ca091f7a0576ce8cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次