名校
解题方法
1 . 已知函数
,
.
(1)当
时,求证:
;
(2)当
时,
恒成立,求实数
的取值范围;
(3)已知
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b1868d9850b7103e1326eb001dfbce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9100abe06c208f6742dc75861a33989.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2aa78c96db411c9e1e939ae16de78d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d062874efc06af87693c548b09fbc91.png)
您最近一年使用:0次
2023-11-30更新
|
427次组卷
|
3卷引用:河南省安阳市林州市第一中学2024届高三上学期期末数学试题
名校
2 . 已知函数
.
(1)当
时,求证:
;
(2)当
时,若不等式
恒成立,求实数
的取值范围;
(3)若
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41f0a059d02f88033d4c46fbe648ba2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bc1807f5f5784e75c4e5e6df17f3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e2d7a7b5ef6de479ac02b04965245d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a154aa77357cb73cbcd37275d873a324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e2d7a7b5ef6de479ac02b04965245d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9c89d2cd1fb46b1e71ad10227c098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a375205425cf8092535bcc485646fdc3.png)
您最近一年使用:0次
2019-03-30更新
|
1687次组卷
|
8卷引用:【校级联考】河南省顶级名校2019届高三质量测评数学理试题
名校
3 . 设
是正整数,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c496b822e4765fc9bb17685f39a4f05.png)
(1)求证:当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb1296f8b1307fd35d219d51f15c242.png)
(2)求证:当
时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c496b822e4765fc9bb17685f39a4f05.png)
(1)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a79d7f73b6128650bf7aed538260c72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb1296f8b1307fd35d219d51f15c242.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e964999066e7ab9780d6a898bd74d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d093aa4e6b898ff1dab1a5b46519eb3.png)
您最近一年使用:0次
2024-02-11更新
|
109次组卷
|
2卷引用:中原名校2022年高三一轮复习检测联考卷数学(理)试题
4 . 已知函数
.
(1)讨论
的单调性;
(2)设
,若正数
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c716561301c035b1e9178a56fd12ceef.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64c32f9b7d24dea16c0a49c6f8647a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/506040d0892e3716fd31f24b995ee475.png)
您最近一年使用:0次
解题方法
5 . 已知函数
,
.
(1)当
时,求证:对于任意
,
;
(2)当
时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5641338be372805db36b81f2dfd7e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e212f563f8f943545e4bca191e79dae.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851eae00e3369068e33a7e6420483883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e689501b20fc4a9160eeab0add423583.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb9042d849b422a68cacd0f0f2d3f24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)求函数
在区间
上的最值;
(2)求证:
.
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366ebed313172a029b6525980a60d2e2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1279ef84071f5ad7c4c1681357edd84.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5301ffe7ff13e2ae5f63afcddaa6fb.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fdcd7fb69ba1cf98b6992cd5a508e24.png)
您最近一年使用:0次
7 . 设函数
,
.
(1)求函数
的单调区间;
(2)求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9f67dc1bd998eb5349aa42b2ddcca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3858371064d37d3b59b15aaaac6e4f3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858c50a9f39d005d2fd53d93b0485b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efe6ed0d1b12262d3d225437346ae91.png)
您最近一年使用:0次
8 . 已知函数
(
).
(1)讨论
的单调性;
(2)设
,若函数
有两个不同的极值点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dca377668811d6b06bcacda9228c040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98bafb84cd3f290d9c5920db47ff1180.png)
![](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/d59b4ae053a3f1e3d3ac7afaa9aac77b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac59ef367ebf2e36b984c2f6fd913e9.png)
您最近一年使用:0次
名校
9 . 已知函数
有两个零点.
(1)求
的取值范围;
(2)设
,
是
的两个零点,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3c53e08545a3fb2094d5acb9bf759c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684bcf84f0a266515bfafde0da903050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b9eb2b30a76dd08912f49cc804c3ae.png)
您最近一年使用:0次
2024-02-17更新
|
918次组卷
|
6卷引用:河南省驻马店市2023-2024学年高三上学期期末统一考试数学试题
河南省驻马店市2023-2024学年高三上学期期末统一考试数学试题 (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)2023-2024学年高二下学期第一次月考解答题压轴题十六大题型专练(1)广东省深圳市翠园中学2023-2024学年高二下学期第一次段考数学试卷(已下线)专题6 导数与零点偏移【讲】
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5957c2f77cef3509b864de98bf0af8.png)
.
(1)当
时,判断函数
的单调性,并证明
;
(2)若对
,不等式
恒成立,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5957c2f77cef3509b864de98bf0af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce271fca2cfe209bc311fbe3080bafc2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02939be8a65d7a4ce1a8620085c2d8ae.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818dcdda5f3961e803c76b0ac92c055e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c698cdb6982beeaa266ac9170cabd4.png)
您最近一年使用:0次