名校
1 . 已知
,下列四个结论:①
,②
,③
,④
.其中错误的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1bb486cbf98ae341a35a17e79fae7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b0e6eb011614deef2d50ceab01c8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e0b26fa1a2c42bf24833e241ea25a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec504e75b5fe6435a94047a2f0b9443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9dd82388f903f53c58ff6d655dd7d14.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
2 . 已知
,不等式
恒成立,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d3815052a73da51fc087867c0c725c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 已知偶函数
与其导函数
定义域均为
,
为奇函数,若2是
的极值点,则
在区间
内解的个数最少有( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4a364dbaef735e2530b11d95b0e9c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f168b6811f1da5f09db1d9984ad8664f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1daa67de3b8971d54ced0cac0cd11f2e.png)
A.7 | B.8 | C.9 | D.11 |
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2024-06-14更新
|
99次组卷
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2卷引用:山西省晋城市第一中学校2023-2024学年高二下学期第四次调研考试(5月)数学试题
4 . 已知函数
是定义在
上的奇函数,且当
时,
,对于数列
,若
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a28068770a85b88b42321cd71ecd3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5a05989a8c0f72fa134a31e9dbb1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d27e9d6651c189516650fb11301b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aae580ebcfce670585ba54023be02ed.png)
A.存在![]() ![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.若存在等差数列![]() ![]() ![]() ![]() ![]() |
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5 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc199f6ba069286a6ed3b38215ee972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0eaf6f945de3707e5fccbfed7915d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-05更新
|
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|
2卷引用:河北省石家庄市第二中学教育集团2023-2024学年高二下学期期中考试数学试题
名校
解题方法
6 . 已知数列
满足
(
为正整数),
,设集合
.有以下两个猜想:①不论
取何值,总有
;②若
,且数列
中恰好存在连续的7项构成等比数列,则
的可能取值有6个.其中( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19270ac238f89bde5aeb61c622c1d68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9972b9f5d541ff043675df369de82748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a2410ce34b36954ed4923e600d42f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6225bb97266c814a33b98c1e90e03e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.①正确,②正确 | B.①正确,②错误 | C.①错误,②正确 | D.①错误,②错误 |
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2024-06-01更新
|
161次组卷
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4卷引用:上海市格致中学2021-2022学年高二下学期期中数学试题
上海市格致中学2021-2022学年高二下学期期中数学试题(已下线)4.2等比数列及其通项公式(第1课时)(作业)(夯实基础+能力提升)-2022-2023学年高二数学精品教学课件(沪教版2020选择性必修第一册)(已下线)【练】专题5 分段数列问题上海市实验学校2023-2024学年高三下学期四模数学试题
名校
7 . 已知直线
与函数
的图象相切,则函数
的图象在
处的切线与坐标轴围成的三角形的面积的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4605f24d585d1589fa00ca53e9b6ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2b4a486bc057f77636b40e5b6bace7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 对于函数
和
,及区间
,若存在实数
,使得
对任意
恒成立,则称
在区间
上“优于”
.有以下两个结论:
①
在区间
上优于
;
②
在区间
上优于
.
那么( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6a662372bee6a71ba6cf59a429c68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a7afcf760aa4aff404eae3ad47afac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2215ece47e22ff5f4ae6fa8f77fe1636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92aa8ff612fad750c2a0fd6b67e034e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7143d57a258898838d31e983dab2840a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2899fba91f6c9441a4eb514f0be7e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114c986777a47c475ec899c16227798f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428d922e63d8a0838da6fdacee919ccd.png)
那么( )
A.①、②均正确 | B.①正确,②错误 |
C.①错误,②正确 | D.①、②均错误 |
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名校
9 . 已知
,
,则
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f6ee6f0892a7f1685bad76c650bef4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f949a6f6f56a703a04011c7c376e2e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 在数学中,布劳威尔不动点定理是拓扑学里一个非常重要的不动点定理,它可应用到有限维空间,并构成了一般不动点定理的基石.简单来说就是对于满足一定条件的连续函数
,存在一个点
,使得
,那么我们称
为“不动点”函数.若
存在
个点
,满足
,则称
为“
型不动点”函数,则下列函数中为“3型不动点”函数的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f66a2b3d90f0d935d6c8ebaf675349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5ccfc1cda3bffa5ac14055148caba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e197d4674d78a7ffe82ee1852c4fff63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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908次组卷
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5卷引用:福建省三明市第一中学2023-2024学年高二下学期期中考试数学试题
福建省三明市第一中学2023-2024学年高二下学期期中考试数学试题安徽省池州市第一中学2024届高三第一次模拟联合检测数学试题(已下线)专题12 导数的综合问题(过关集训)(已下线)压轴题01集合新定义、函数与导数13题型汇总-2(已下线)情境7 创新定义命题