1 . 已知函数.
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451db7ceb8fa940ea952664519a54a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e81b4aac721bcd4a49593b48a28a8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2 . 已知函数
.
(1)证明:
,有
;
(2)设
(
),讨论
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2827943eee7716dc5609485eef4f846a.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1635473a4200e29e0cd13dffa54f7571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)若
在
上单调递减,求
的取值范围;
(2)若
有两个极值点
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cd5cad03de96aa3d9d022ce36d434e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/8b34154b8cb1212f7b36a696b91df1c9.png)
您最近一年使用:0次
2023-11-28更新
|
605次组卷
|
4卷引用:西藏拉萨市城关区拉萨中学2024届高三第五次月考数学(文)试题
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95249870973c7eb1295dc768ff28018f.png)
(1)当
时,求
的函数值;
(2)若
有三个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95249870973c7eb1295dc768ff28018f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-10-08更新
|
529次组卷
|
3卷引用:西藏林芝市第二高级中学2024届高三上学期第一次月考数学(理)试题
名校
解题方法
5 . 已知函数.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fc14e0e9de52e4d6a36af83854f15f.png)
您最近一年使用:0次
2023-08-13更新
|
591次组卷
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5卷引用:西藏自治区拉萨市2024届高三一模数学(理)试题
6 . 已知
,则下列不等式成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed70659f0c30e3b77cc60a193538f7f4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 设函数
,
且
.
(1)求函数
的单调性;
(2)若
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c207efd83d75c1f69237d97616c726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9549219b9b575e5751feefecd632d2.png)
您最近一年使用:0次
2023-06-04更新
|
2152次组卷
|
6卷引用:西藏日喀则市2022-2023学年高二下学期期末统一质量检测数学(理)试题
8 . 已知函数
.
(1)当
时,求曲线
在
处的切线方程;
(2)若
有两个不同的极值点
,
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7dc96ff14c2a79be3dccd3f20cc0b4.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/6a727d1dc047322c5fb256faf17ce35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
9 . 对任意的
,不等式
恒成立,则实数
的取值集合是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5663adc9b7b68dcf3557efcc35a2ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-04-18更新
|
574次组卷
|
4卷引用:西藏拉萨市2023届高三一模数学(理)试题
10 . 已知函数
.
(1)求
的单调区间;
(2)若
有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d65edad595cd80754b9cf9626e86fd5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-02-22更新
|
1212次组卷
|
5卷引用:西藏林芝市2023届高三二模数学(理)试题