名校
1 . 已知
,若方程
有四个根
,且
,则
的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a74bbe81fe73c22f7f834eb63b6eeaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9c6e8adb2580204c195e2321f91895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c89fd0e72ec20a3c99ca18ed3ea736.png)
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名校
解题方法
2 . 已知函数
若
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7807abcba26c2f892a7c1684cb34d72.png)
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24975c0306d87a662d57c84389d1352e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138348b078a119a26e9848cad0f060a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7807abcba26c2f892a7c1684cb34d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834f5583611e7ba980912e68fcc68994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-06更新
|
259次组卷
|
3卷引用:陕西省西安市鄠邑区2023-2024学年高三上学期期末考试(理科)数学试题
名校
3 . 已知定义域为
的函数
是奇函数.
(1)求实数
的值并用定义证明函数
在
上单调递增;
(2)若方程
在
内有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d28fd96a55f935ee1528bb1047f6fa.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4386ead834b7129b62cb55510eb2086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fd84394e897ebf6c4814b841d427b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2024-03-02更新
|
339次组卷
|
2卷引用:江苏省东台市2023-2024学年高一上学期期末考试数学试题
4 . 已知函数
(
且
),点
在其图象上.
(1)若函数
有最小值,求实数
的取值范围;
(2)设函数
,若存在非零实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
![](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/1b65c821fdf71e17eedb21722a9165df.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0584ded985595c31af106e7183a8f8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000614bfb5918ccecde151aac799626f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d2f93c8be2625734adbebbc6364c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
5 . 已知函数
有两个零点分别为
和
,则
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05dcda93bb923646e4683bf592fb2813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
您最近一年使用:0次
6 . 已知函数
,
.
(1)写出
的单调区间,并用单调性的定义证明;
(2)若
,解关于
的不等式
;
(3)证明:
恰有两个零点m,
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0676c35e842a3a86d3b752cae5ca0576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0a1faf66cdc3558d05205fd8f5187d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3484588665d34c47ac3d2ef5c7ef5f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9947fdb8b6b390de995711ef15d82e70.png)
您最近一年使用:0次
名校
7 . 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
解题方法
8 . 已知
分别是函数
与
的零点,若
,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf7b2dc2878a630155f5815fd8bad5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1330f3c5d7eda06577b8b33ebf295463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5aac9fb75d7d8d105cd3d47660784c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e17c629f5f90e2c27eb48451ea6fb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
9 . 若函数
,恰有3个零点,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9a68a19e5b14292edc772627a3f352.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知函数
为偶函数.
(1)求实数
的值;
(2)解关于
的不等式
;
(3)设
,若函数
与
图象有
个公共点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d7fae696aa1ef1d95843fcca13b37c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39398e983f05c25e16f01d9c1a08f6c2.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e96d313a5060100d1a22c7cce62b0c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次