1 . 已知函数
,当
时,不等式
的解集是______ ,若
恰有2个零点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68dfcd9c934fc39cff91f2ee0652599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 设函数
,若
恰有两个零点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e945d298b3dd7787bc81463307b700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
3 . 已知函数
(其中
),若关于
的方程
有四个不等的实数根,从小到大依次为
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8fc90b6273d8bc253c113ec2c2e1f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2492929137a56abbdeeea4101a4b896a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 已知函数
是定义域为
的偶函数,当
时,
,若关于x的方程
,有且只有7个不同实数根,则实数a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb05b8c65151650eaecbad638e509c45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800cb5a9b29276bfca97608d4b94ef03.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知函数
,若函数
有三个零点a,b,c,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fbd4c07833d1282c1606681bb156d27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92abc7642e3db7f9d6a51ff85c84ff30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b73abfe4bc26b1ded680d7abb1a2cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb3fa21842ca6421d3c85eddb7f7b6f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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23-24高三上·北京西城·期末
解题方法
6 . 设
,函数
给出下列四个结论:
①
在区间
上单调递减;
②当
时,
存在最大值;
③当
时,直线
与曲线
恰有3个交点;
④存在正数
及点
和
,使
.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fea6820a9126b56ec980bd1b90ce47c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
④存在正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b811a28cdacf01a436319d318e61f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e16cf125d8969d138b7db75b4b7e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c350ad1d2263888a5a36a851f37c661.png)
其中所有正确结论的序号是
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解题方法
7 . 已知函数
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c310e1a164e4fffad40f1212800eff66.png)
A.![]() | B.方程![]() |
C.![]() | D.当![]() ![]() |
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8 . 已知函数
,若函数
所有零点的乘积为1,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00660a23d34b28bff918675016329a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063e117674cfa096c5f0aa45f7d663d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-02-17更新
|
203次组卷
|
2卷引用:山东省日照市2023-2024学年高一上学期期末校际联合考试数学试题
9 . 设函数
(
且
).给出下列四个结论:
①当
时,方程
有唯一解;
②当
时,方程
有三个解;
③对任意实数a(
且
),
的值域为
;
④存在实数a,使得
在区间
上单调递增;
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf1a29518ba7fb41a351ae69ce43c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e436ea3ddcd13e69171135f0ff8e934a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
③对任意实数a(
![](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/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
④存在实数a,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
其中所有正确结论的序号是
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10 . 定义在
上的幂函数
.
(1)求
的解析式;
(2)已知函数
,若关于
的方程
恰有两个实根
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d54e0619f9e71eb19b67200b8911c5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10356029baa6b16051b981471308a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f596b480c8326c15dbd72898d90c537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c5c654afa70e0fa53240b284d202418.png)
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