名校
1 . 已知函数
.
(1)求函数
的单调区间;
(2)若
恒成立,求实数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff7978e698b20c3b12f2e9d3a00c47b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
7日内更新
|
414次组卷
|
6卷引用:湖北省部分省级示范高中2023-2024学年高二下学期4月期中测试数学试题
湖北省部分省级示范高中2023-2024学年高二下学期4月期中测试数学试题2024届海南省省直辖县级行政单位琼海市高考模拟预测数学试题安徽省马鞍山市第二中学2023-2024学年高二下学期5月月考数学试题江苏省海安市实验中学等四校联考2023-2024学年高二下学期5月检测数学试题(已下线)第12题 分类讨论法讨论函数的单调性(高二期末每日一题)(已下线)专题09 导数与零点、不等式综合常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
名校
解题方法
2 . 已知
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0408f49a46820967b5c1a70c5049e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3c74dbb905a46c3ce2a58e6d801fea.png)
A.函数![]() ![]() |
B.函数![]() |
C.若对任意![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
2024-05-31更新
|
300次组卷
|
2卷引用:湖北省部分高中联考协作体2023-2024学年高二下学期期中考试数学试卷
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3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b455c09ae609a3a2a24fe0999547e4a.png)
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b455c09ae609a3a2a24fe0999547e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d5b338ddbc0bac8c8f25e036314fe1.png)
A.当![]() ![]() |
B.若经过原点的直线与![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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4 . 已知函数
,其中
为自然对数的底数,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fad7821a91dffd75182f3caeecc9372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
A.函数![]() ![]() |
B.曲线![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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5 . 已知
且
,函数
.
(1)记
为数列
的前
项和.当
时,试比较
与2024的大小,并说明理由;
(2)当
时,证明:
;
(3)当
且
时,试讨论
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff69be9f14b645d71fe4547677db36de.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e65101ee1a5a3540d9359676ba6319a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c98250092857464fbe6cc0707b89ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7416befa4d79b1101a79adb8983c95a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950581caec90a28b5fa8f1e81bf21d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7a75bcd70f6b1a6d02dbb92e964e1b.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
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解题方法
6 . 已知函数
,若不等式
对
恒成立,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cac75bcadb3d703555e724d5988272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d305941fa0ead7f7265d3c0b3ae89373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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解题方法
7 . 已知函数
及其导函数
定义域均为
,满足
,且
为奇函数,记
,其导函数为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746e726f41962b2d77c400f5d138c39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25bacb5a64d4ae725bfcce99f0496dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8dee7f22a67e5dea6ce952c024e552.png)
A.![]() | B.2 | C.1 | D.0 |
您最近一年使用:0次
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8 . 已知函数
存在两个极值点
,且
,
.设
的零点个数为
,方程
的实根个数为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cbb68078590e8785def6cb1d7e0126a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019f7f6d8d1bb1b6c365e0cef811f826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc45d00dcc9c1616c14ffb9f739b93ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a5c89d253e763127cc2a9acdd3ebe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.当![]() ![]() | B.当![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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9 . 已知函数
的导函数为
,若
,设
,
,
.则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01ca8462b0612de856261e4a5d0fbde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a06ce780f4ec6af4d769a09cba08de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6bba85e4c2426061b5c8f53c09b9e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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10 . 在等比数列
中,
是函数
的两个极值点,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da98bac77d031103679401d8989120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448166e46c3b1035980bfad927a10c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fc3dfaf2d0689397d71431ce3aaec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.3 | B.![]() | C.![]() | D.9 |
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