名校
1 . 已知函数
,对于任意
,且
,均存在唯一实数
,使得
,且
,若关于
的方程
有3个不相等的实数根
,
,
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8de527ee0d567f2cb35b9cf8ccb4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0769e7f7160b7b3d281ca4cb8926da5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e22570cf8b339a70e8ea0bb696b376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4979a9663e75b6d1eec022c16ecdf435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579c948359646bfdd6fc9b68328aa068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f53d71c50d20187e2561ff23b9020f9.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/d79fc0ce080b8ad8b63ba63259c680b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423381c1782e6dd875bbe4c0af22b802.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-28更新
|
387次组卷
|
4卷引用:浙江省湖州市长兴县雉城中学2023-2024学年高一上学期期末数学复习卷一
2 . 已知函数
,若关于x的方程
在区间
上有两个不同的实根,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b749d6fb704f13642f3e0df005a9681a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df2e6810749cade8ffbd5609fa32347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 已知函数
,
且
.
(1)若
,求方程
的解;
(2)若存在
,使得不等式
对于任意的
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4a6c516dce061634c0fe8f04bdd5b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8e1dd8da540badcb9a8f427c5b202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ea47220258260d54537f7b5b4be915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49053ae70557512fc1d12842ab81f5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adde1c78187bad8ea5800b1b6af5652c.png)
您最近一年使用:0次
4 . 下列函数图象与
轴均有交点,其中不能用二分法求其零点的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cae3e3f274fbeac3b84ea713cc23ee.png)
为自然对数的底数),
,若
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cae3e3f274fbeac3b84ea713cc23ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8010f9d55e091cac9c543defc9faa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf6c20c6947ee9a291548a3639228b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6246659a517cd704e7553b153d3a52ae.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-08-06更新
|
1155次组卷
|
4卷引用:浙江省丽水市2022-2023学年高一上学期期末数学试题
浙江省丽水市2022-2023学年高一上学期期末数学试题(已下线)第07讲:对数运算和对数函数-《考点·题型·难点》期末高效复习贵州省贵阳市第一中学2024届高三上学期开学考试(8月月考)数学试题(已下线)模块六 专题4 全真能力模拟2 期末研习室高一人教A
名校
6 . 函数
在
上有两个零点
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab4c94bd146ab538721689b9dc2adb58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f0e40d271fdd630eb9da1b5cb8894ae.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-08-02更新
|
1045次组卷
|
5卷引用:浙江省名校联盟2022-2023学年高二下学期期末联考数学试题
浙江省名校联盟2022-2023学年高二下学期期末联考数学试题黑龙江省鹤岗市工农区鹤岗市第一中学2023-2024学年高三上学期开学数学试题(已下线)第九章 导数与三角函数的联袂 专题五 导数与三角函数的联袂综合训练(已下线)第10讲:导数期末题型突破(单调性、不等式、零点、恒成立)(已下线)专题6 函数的零点问题(过关集训)(压轴题大全)
解题方法
7 . 已知函数
满足
,函数
,其中
.
(1)求
的值域(用
表示);
(2)求
的取值范围;
(3)若存在实数
,使得
有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9c81b93692b2eb405e591608198046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcf4c477b42a29b83b054a538e4fa31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcdb02baba30f6db632c0dd43c2ad40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91413c558d7a35bab90e33241c0d9885.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(3)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9928c2282021a50b11656dd05b8255f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
8 . 已知非零实数
,满足
,实数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
满足
,则下列可能成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a598937658b6e4574269e9af33010fa.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/acd229b508a9dd57f583fcbb411cd615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdfecb66e5b2868a97aeb4be0e13eb5c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 函数
零点所在的区间为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8867b600581522ab45b638ad029c3ce4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知函数
.
(1)若
,求
的值;
(2)已知函数
的图象经过
,
(i)若
,求
的值;
(ii)若
的三个零点为
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e2eb28a3be991d04869ac956c473a1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c809787e19abe7537c6b947d8cf390cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42cfa10d36743c0c2d594f289be735c.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5d7c0482558ee0a89c0a2f6d935a22.png)
(i)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c419949314258c61e4436e16477fa42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8640aa70c024c467a9e64b8014dc04b9.png)
(ii)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/55a4e7c9bcd3dd106a40041499fb6927.png)
您最近一年使用:0次