名校
1 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902b012fa6535bbf6d225ad9485aa113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef23d1608222047ebb47d938e32a9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-15更新
|
406次组卷
|
2卷引用:云南师范大学附属中学2023-2024学年高三下学期5月月考数学试题
名校
解题方法
2 . 已知函数
(其中
为自然对数的底数),若方程
有三个根
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5004e357cbbe8d734086796276cc86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcee20976de0e0e8c1ccd7a951674691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0ccef9f8453e91750d9700897cad78.png)
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名校
解题方法
3 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba3030e5fd803dce75c9dc0df6e9a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f115411a61585956f9dbffe0a8264058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933347fd4d93628c8a9cb6a540560471.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-29更新
|
361次组卷
|
2卷引用:海南省琼海市嘉积中学2023-2024学年高一下学期高中教学第二次大课堂练习数学试题
名校
解题方法
4 . 已知函数
,
.
(1)当
时,用单调性定义证明:
在区间
上单调递减;
(2)若
在区间
内有2个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df13cd39eaaaa19cf43244f62139d1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33baa45471d4f0be525f9ba73fd6775.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1a65d88f9823d49da8f3b96ea9ec6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
5 . 已知函数
是定义在
上的奇函数,且当
时,
.
(1)求函数
的解析式;
(2)若
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b6e6e85b5c3b48f1de26d527e38b96.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3cfe0d30dca23488bf069b3edfd280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
6 . 指数函数模型在生活生产中应用广泛,如在疾病控制与统计、物理学、生物学、人口预测等问题上都可以应用其进行解决.研究发现,某传染病传播累计感染人数
随时间
(单位:天)的变化规律近似有如下的函数关系:
,其中
为常数,
为初始感染人数.若前3天感染人数累计增加了
,则感染人数累计增加
需要的时间大约为( )(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a96e95794da54dee50df12f0da1570c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18092f868ac7b7b1a50ae42fd4787aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84abbfb85a00f48b5db11eeb76b8d134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4781898416f29fc5127ac4cc44e08290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1213c2a26a77edc9d0615b9988474c77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b1525c56bbb8644c202d454a70c30db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51e1b38325d10bb7685a9b162ad8161.png)
A.10.5天 | B.9天 | C.8天 | D.6天 |
您最近一年使用:0次
名校
7 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070c85abc0c7a798f5100c04a7adc35d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070c85abc0c7a798f5100c04a7adc35d.png)
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8 . 对于函数
,若存在非零常数
,使得
,都有
,则称
为广周期函数,广周期为
.已知函数
满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f416151d5478f67f57ad0e126a13656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154139e6ab6f38c923d112758603846b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66dda90f1adc98af7394261a6f82143e.png)
A.若![]() ![]() |
B.![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
9 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a376e633270b2e7c3d081e9ffd428f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fdc14fbf7161d33832a18552bbad69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-04-16更新
|
471次组卷
|
2卷引用:海南省海口市琼山华侨中学2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
10 . 若函数
是定义在
上的偶函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4276018dd79361aa73de3a91a42801ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bddc2cc5433eb08e631e42ff6ef9af66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28e60025eda7ef79dc21aa859a14ceb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-15更新
|
567次组卷
|
3卷引用:贵州省贵阳市清华中学、安顺一中等校2023-2024学年高一下学期第一次联考数学试题