名校
1 . 已知函数.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a415767156945ea8ada9ed3756019fc.png)
您最近一年使用:0次
2024-02-14更新
|
1404次组卷
|
5卷引用:陕西省西安市第一中学2024届高三下学期模拟考试文科数学试题
陕西省西安市第一中学2024届高三下学期模拟考试文科数学试题山西省晋城市2024届高三一模数学试题(已下线)重难点2-4 利用导数研究不等式与极值点偏移(8题型+满分技巧+限时检测)(已下线)微专题08 极值点偏移问题(已下线)第9题 导数压轴大题归类(1)(高三二轮每日一题)
名校
解题方法
2 . 已知函数
,
.
(1)若
恒成立,求a的取值集合;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9160c498ba8f11044365d3821ca34d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98df3895827f6eb3871e17e890ef7edf.png)
您最近一年使用:0次
2024-02-13更新
|
562次组卷
|
2卷引用:陕西省咸阳市2024届高三上学期模拟检测(一)理科数学试题
3 . 已知函数
.
(1)求函数
的单调区间;
(2)求证:当
时,对
,不等式
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3971704ceb91f3814b98017627f416a9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099203c922eda055aa12a7826514b84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f2a5027641b706dd915c54a23fc38a.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
.
(1)求函数
的极值;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/777d99707645e585ba23591afb49607b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654d0a0cb9872e9d61f7759d69d24b26.png)
您最近一年使用:0次
5 . 已知函数
.
(1)当
时,求
的单调区间;
(2)已知
,求证:当
时,
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85aab871807baa11b7e0b6e5a20b515c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d191d6de821fbb06a51b5a20112db6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
您最近一年使用:0次
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18592f513d46d69927f86d1c03e0753e.png)
(1)当
时,求
的单调区间;
(2)已知
,求证:当
时,
恒成立;
(3)设
,求证:当函数
恰有一个零点时,该零点一定不是函数
的极值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18592f513d46d69927f86d1c03e0753e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d191d6de821fbb06a51b5a20112db6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860eac9c5a33894ff90b68457dd17b30.png)
您最近一年使用:0次
名校
7 . 已知函数
.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1a5f2533b8ea54b7022383f875666.png)
(1)讨论函数
的单调性;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ae859b52222aaf0b4d0950dba26e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1a5f2533b8ea54b7022383f875666.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a4d90664b71fad5b99fdfb2de4fd47.png)
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2024-01-13更新
|
518次组卷
|
2卷引用:2024届陕西省渭南市高三一模数学(理)试题
8 . 已知函数
.
(1)当
时,求
的单调区间与极值,
(2)若
,证明:当
,且
时,
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f43e99657ece85b991ae4889bfa8f9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec5792dbdc5ee1677ecd53435552272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ca796621ca1dc2a5e420bf41583c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2210f152080d9a68a97c805f5c1cde96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5eb5616a3f2ffb2ed776848a080f30.png)
您最近一年使用:0次
名校
9 . 已知函数
.
(1)求
的单调区间;
(2)若
,函数
.
(i)证明:
在区间
上存在极值点;
(ii)记
在区间
上的极值点为
在区间
上的零点的和为
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aacaf2470a32d4348c0d6b821ffbb4cf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01dc2d99655cf7598837cb0886166ed.png)
(ii)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01dc2d99655cf7598837cb0886166ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00cf17a6705ecbf93191924edb9e11e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdbb5162cb76bfce5cd7c5f75e6e874.png)
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2024-01-11更新
|
655次组卷
|
3卷引用:陕西省商洛市2024届高三上学期尖子生学情诊断考试数学(理科)试卷
名校
解题方法
10 . 已知函数
,
.
(1)若
恒成立,求
的取值范围;
(2)设正实数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31653b694d425c914bd6d0242014bc93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7670449b27702bf62d251c6bed5d05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b5890bd5a8fe2650ffbdda74c2ce65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcce89b0004d6a21cb188e71abb965c5.png)
您最近一年使用:0次
2024-01-03更新
|
349次组卷
|
4卷引用:陕西省部分学校2023-2024学年高三上学期阶段性测试(四)理科数学试题