名校
1 . 已知函数
,
.
(1)求不等式
的解集;
(2)若存在
使关于
的方程
有四个不同的实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c58f5d95f7596a03e3f2f872ad747b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2fe59a52844fa7229361cc5cbc625e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-12-17更新
|
415次组卷
|
3卷引用:广东省佛山市H7教育共同体2023-2024学年高一上学期第二次联考数学试题
广东省佛山市H7教育共同体2023-2024学年高一上学期第二次联考数学试题山东省青岛平度市第九中学2023-2024学年高一上学期12月月考数学试题(已下线)专题13 方程的根、韦达定理与待定系数法(一题多变)
名校
解题方法
2 . 已知函数
.
(1)当
时,求
的值;
(2)当
时,求不等式
的解集;
(3)当
时,若对任意的
,不等式
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff10f989aa387be79100379a4df46688.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1983d0cad49a9180243947536fa33fb7.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0abe4960954bb3144b7e86d4233e747.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85872073deea71081ce367e48b3b872.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)求将函数
的图像进行怎样的平移,能够得到函数
的图像?
(2)若函数
在
上是严格减函数,求实数
的取值范围.
(3)将函数
图像向右平移一个单位,得函数
的图像,已知函数
图像关于
轴对称,且当
时,它与函数
的关系是
.现已知关于
的方程
解集中有七个元素,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
(1)求将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b28fb1035e9ff7766a054b5c86a150.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b28fb1035e9ff7766a054b5c86a150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a8b8044825d59a09d5ff2efdc42981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959d754452ebd9902832a977ddb86491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb9667923104003b76a66d7c3b0a1eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f71ef140d15cb1834a91b060df0dfda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b481ee616038c222bc8b2b4d1e4d23a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
4 . 设
是
上的减函数,且对任意实数
,
,都有
;函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89f1282f5b7d6742f78c81203e0a3da.png)
(1)判断函数
的奇偶性,并证明你的结论;
(2)若
, 且存在
,不等式
成立, 求实数
的取值范围.
(3)当
时, 若关于
的不等式
与
的解集相等且非空, 求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89f1282f5b7d6742f78c81203e0a3da.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8b905f6ad68813fc63772d6a9d78e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757bf8295a13223d2a6566815524a946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec403217773ee3cc04f8cd68ae8721e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa38ca27c6c0c40d5e36b2ae4fb7ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b39a5e5177b18527137d04e37bb0289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次