1 . 已知函数
,
.
(1)讨论
的单调性;
(2)若函数
有两个不同的零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db75d1fd7851378bd957dd3bd6e2f696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/332316efab233084aaec60c3373d36d7.png)
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解题方法
2 . 已知函数
在区间
上存在零点,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36c85dce772028e93c84c1ed4768b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
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解题方法
3 . 已知函数
,若存在实数
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
满足
,则正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024e89e52ca3a047b6fb39106e345214.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/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e012d69142187ee67d884d15022a9fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d85548aa0bd0f14d50c2037f6aaa57f1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 已知函数
,若关于x的不等式
恰有一个整数解,则实数a的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768f54d2c84689f7441ce490aaf286ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71fca994e8d5b7ec2c2cb7b390f1a939.png)
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2024-01-15更新
|
500次组卷
|
2卷引用:上海市闵行区七宝中学2024届高三上学期期末数学试题
名校
5 . 若曲线
上的点P与曲线
上的点Q关于坐标原点对称,则称P,Q是
,
上的一组奇点.若曲线
(
且
)与曲线
有且仅有一组奇点,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fba98327c9fc19b9756766732b33ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce5e3a606e910cba4f6cff8cc57ce3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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|
1037次组卷
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5卷引用:山西省大同市2024届高三上学期冬季教学质量检测数学试题
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6 . 已知函数
(
)有两个不同的零点
,
(
),下列关于
,
的说法正确的有( )个
①
②
③
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3ad8c843c361565d0f3cb06da49f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28ed7245e042d678539b831246ea430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1464ddc459a7d19e2ff4e322c171e123.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/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb221bc58410b495a12e76c2acfa016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38e1c392689e7b86bb1ff18bc0c1f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7e145219a4a2773fedb6049d3614d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3ad8c843c361565d0f3cb06da49f60.png)
A.1 | B.2 | C.3 | D.4 |
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|
839次组卷
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8卷引用:江西省等七省联考2024届高三上学期最后一卷数学猜题卷(一)
江西省等七省联考2024届高三上学期最后一卷数学猜题卷(一)四川省南充市2024届高三一模数学(理)试题四川省南充市2024届高三一模数学(理)试题(已下线)思想02 运用数形结合的思想方法解题(4大题型)(练习)(已下线)【一题多变】函数零点问题(已下线)【一题多变】函数零点问题1重庆市南开中学校2023-2024学年高二下学期阶段测试数学试题(已下线)高二下学期第一次月考选择题压轴题十四大题型专练-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第三册)
名校
7 . 已知函数
,若关于
的方程
恰有6个不同实数根,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614aadba238cb2b6e5995704faa294ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27a79ade94414be62471729cdf08750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 已知定义在
上的函数
满足
,
,当
时,
,则方程
所有根之和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b568b2cee9ef2a32d2f27305a9104d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c17fde635ef87d0e5ef3206f7e8f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57dfa44984a9627da4c152a9c953958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd72bfa25a873f6dbc2fc1502066066.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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9 . 已知函数
.
(1)证明:
有唯一的极值点;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4234a8028f8f2b502c31ef8ff9d0ad.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-12-29更新
|
580次组卷
|
5卷引用:河北省衡水市枣强中学2024届高三上学期期末考试数学试题
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解题方法
10 . 已知
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa8548082bd11324dcfdd306e6a647d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680e4fdd4bb4e0d4bf43fc5f0da447cc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-29更新
|
806次组卷
|
4卷引用:河北省衡水市枣强中学2024届高三上学期期末考试数学试题