1 . 已知函数
,其中
为非零常数.
(1)讨论
的极值点个数,并说明理由;
(2)若
,证明:
在区间
内有且仅有1个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829802d34f39b2f1aefbd110c2039bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c919f9f7700d0a53eb9a8b6d0803fde1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
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2 . 在
中,
,
为
边上的中线且
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fffa3d9c32da53b0ea0c338012ea20c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01cd2bf7c88e24c91625e0f20ba2a4bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a78f0c6b8aaa5a52b8ad55b44f9332.png)
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3 . 已知函数
.
(1)求函数
的单调区间;
(2)若
,求证:函数
存在零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893b79b32ed385b5a81a18a54e3151d3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22bd0b1fbcd615f88ac0f8579fadf91.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb218d5131c7e4164c8068e1b19d233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e915b67f8f747698b8b46d37bc453667.png)
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4 . .设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16b93fe2eba1968c6fa1698adbbef13.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知函数
,
.
(1)
,讨论函数
的极值点;
(2)
,设
,当
时,不等式
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35c55300ae946097787babdf7a7d5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89271403250ddcde4ad875a2fed9342e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86474b8b559afef08fa4ea228f84b77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e777820c96a9d21e10d6526c13e1a2.png)
您最近一年使用:0次
名校
6 . 已知数列
的首项为1,且
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576968bf3f14628a25f22aea269e560d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
A.![]() | B.1 |
C.2 | D.3 |
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2021-05-13更新
|
1652次组卷
|
7卷引用:新疆维吾尔自治区布尔津县高级中学2021届高三三模数学(理)试题
新疆维吾尔自治区布尔津县高级中学2021届高三三模数学(理)试题新疆维吾尔自治区布尔津县高级中学2021届高三三模数学(文)试题江西省吉安市第一中学2021-2022学年高二上学期开学考试数学(理)试题(已下线)4.1 数列-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)(已下线)专题23 数列的基本知识与概念 -1(已下线)广东省2022届高三一模数学试题变式题6-10(已下线)第1讲 数列的基本知识与概念5种题型(2)
解题方法
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770ca30049d6a605e6a14c77c7669285.png)
(1)若
时,
恒成立,求
的取值范围;
(2)求证
且
;
(3)当
时,方程
有两个不相等的实数根
,求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770ca30049d6a605e6a14c77c7669285.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d07f9b89b24792b5e5cc639b399ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2ef29128caf9576dc4c2351a034b55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe87e3963967b25166be5503e920a901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b327466d2c1761c8bef60fb15cf911b.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008c47204b68ecf7ed24688a60ebe55e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5809a06357f94fc7a2156c7e7af1ed2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7668f040d06a00d873f7168af1faf7ab.png)
您最近一年使用:0次
8 . 已知函数
是定义在
上的偶函数,且
,当
时,
,要使方程
有且仅有5个零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44d05bdf3290d078ce8614a8f91d8a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3616f0f51ecce341fddf28f4d2ca7d05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebed5c5afb43d358c6687a5d66ef8b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次