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)
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7日内更新
|
473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)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
名校
解题方法
2 . 已知数列
的前
项和为
,且满足
.数列
的前
项和为
,且满足
,
.
(1)求数列
的通项公式;
(2)若
,设数列
的前
项和为
,且对任意的
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8370a173854471a3eb27637993a3d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afea94a2f1b5d84a6290bd971d0b302b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0197eeeeaafec6b1fdd7bb8509572f6b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac07953530e3c248b3438fb200fb1661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab0309e2cd35585ea9fb2cc3017abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bd7d18f67e90a7c37fad4252e43c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0015dec9eaa9a4896d855bebe6294a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-06-03更新
|
518次组卷
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3卷引用:湖北省云学名校联盟2023-2024学年高二下学期期中联考数学试卷
名校
解题方法
3 . 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
|
302次组卷
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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
名校
4 . 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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名校
解题方法
5 . 已知定义域为
的偶函数
满足
,且当
时,
,若将方程
实数解的个数记为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7bebd637ed0828fdcc578537941aa5.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e04b4cd16224102ef696222caa56ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed105a1181ec4d5678ce4358097b168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7bebd637ed0828fdcc578537941aa5.png)
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名校
解题方法
6 . 已知等差数列
的前
项和为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085815a00e808681cc51bfdfb6a9ffe9.png)
(1)求数列
的通项公式;
(2)设
,求数列
的前
项和为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085815a00e808681cc51bfdfb6a9ffe9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9d06d857cea382c6ef2f8bc9d35ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
7 . 编号为
的三个除编号外完全相同的盒子里,分别装有3个红球,2个白球;3个黄球,3个白球;4个黑球,5个白球.(所有球除颜色外完全相同)
(1)现随机从某个盒子里摸2个球,则在选到2号盒子的条件下,摸出的两个球都是白球的概率是多少?
(2)现随机从某个盒子里摸1个球,若摸出的球是白色,则这个球来自2号盒子的概率是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680e9ef551b325387ab31dca1f893705.png)
(1)现随机从某个盒子里摸2个球,则在选到2号盒子的条件下,摸出的两个球都是白球的概率是多少?
(2)现随机从某个盒子里摸1个球,若摸出的球是白色,则这个球来自2号盒子的概率是多少?
您最近一年使用:0次
名校
8 . 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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9 . 如图,在“杨辉三角”中从左往右第3斜行的数构成一个数列:
,则该数列前10项的和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6f2224995a9bc8c13fa6566c24caab.png)
A.66 | B.120 | C.165 | D.220 |
您最近一年使用:0次
名校
10 . 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)
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