名校
解题方法
1 . 已知函数
.
(1)若函数
无极值,求实数
的取值范围;
(2)若关于
的不等式
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1cef75fd233273e4ac759089e9ae16.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdb7a1c70a4c6ef4e5fbafcd3879d97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-12更新
|
467次组卷
|
2卷引用:高三理数试题-河南省豫南六校2022-2023学年高三上学期第一次联考试题
2 . 已知函数
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09744520f5c31d176a1a232a3cd388d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328c5a000984b1fa64c9f81f5875edf4.png)
您最近一年使用:0次
解题方法
3 . 定义在
上的函数
满足:对
,且
,都有
成立,且
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3881fa7fc347ccb2d46de69dc041907d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a7c2c68ff0f4fc26f278b6a739b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcef60e5d4f3b49a3c6e2507e8998439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4c3872583bef56de103e4a4df05838.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知
为抛物线
:
的焦点,过
作两条互相垂直的直线
,
,直线
与
交于
,
两点,直线
与
交于
,
两点,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17699f0b2382ad62203317514464edca.png)
A.24 | B.36 | C.48 | D.52 |
您最近一年使用:0次
5 . 已知函数
,其中常数
.
(1)若
在
上是增函数,求实数
的取值范围;
(2)若
,设
,求证:函数
在
上有两个极值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654e61fac546a1aaf02eede4564a414e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd50020c0e3198d4a6b2d26a413b1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90229d8269e6a85b5eae9722683079b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d189e4e8c817f3c1658edd7eebc4c18.png)
您最近一年使用:0次
解题方法
6 . 已知
是定义在
上的增函数,若对于任意的
,均有
成立,且
,则不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbf98e40f2f23810467a5c599ea62c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836fcad6a6fec95c876177e58d1a916b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c81a0bb9174e7784a21e87cc0e07253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d444f3e2aeefc58fdab999c90517189.png)
您最近一年使用:0次
解题方法
7 . 已知函数
,其中常数
.
(1)若当
时,不等式
恒成立,求实数
的取值范围;
(2)若
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e759045717acf1c5b485b403245f7ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
(1)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69201b2dc2decd8c6c2a9217ae4edfcb.png)
您最近一年使用:0次
8 . 已知
,若函数
,当
时,函数
的零点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41acb378d81e6ce5e60e7a381bceb102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0dc76470681a49263fb2a2728d56f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19e5cbec6cf3038d8945661607b0af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
9 . 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
解题方法
10 . 若函数
在
处的的切线
过点
,则函数
在
上的最大值与最小值的差为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bcac5ac6862e762b935ddab3dd2587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062bd99243068dc1b922d377608c5aa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec18f727f2e5cf95de3866e7ad266e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/416f2c3f8b808dd3901144efc1f7e6f7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次