2024高三·全国·专题练习
1 . 已知函数
,若对任意的
,使得
,求实数
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21e538fde3f511fd28a3892e93d119b.png)
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2 . 已知函数
在区间
上的最大值为M,当实数a,b变化时,M最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8eb458bfa0c73b467e286a0aa6109f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f979b19f87f2c7e171d6061d56cb7bf8.png)
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3 . 设m是不为0的实数,已知函数
,若函数
有7个零点,则m的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a1635757fa5b2f244cbdd0fb101d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2dee36a3295823295b29536383d9aa.png)
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2024-01-31更新
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2卷引用:山东省淄博市2023-2024学年高一上学期期末质量监检测数学试卷
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4 . 对
,
,记
,则函数
的最小值为 __________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
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2024-04-02更新
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2卷引用:陕西省宝鸡市宝鸡中学2023-2024学年高一上学期期中考试数学试题
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5 . 已知函数
,若
,则实数
的取值范围是__________ ;若方程
有三个相异的实根,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0204ab9312b3069d34ed9c995ec2cb.png)
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6 . 记
表示x,y,z中的最大者,设函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
________ ;若
,则实数
的取值范围_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a4461408813c1476a8a8073c83b8989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ef3f9dcaea14c3eb567453b7f97a81.png)
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7 . 已知函数
,
,若存在
,对任意
,总存在唯一
,使得
成立,则a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e207dec3a1addbeb0a8257176c156e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb1e7475dd989f4a692bfc8b206b107.png)
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8 . 已知二次函数
.甲同学:
的解集为
;乙同学:
的解集为
;丙同学:y的对称轴大于零.在这三个同学的论述中,只有一个假命题,则a的范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0269de86474198a096ec7949aaf8cd03.png)
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2023-10-26更新
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3卷引用:江苏省句容市第三中学、海安实验中学2023-2024学年高三上学期10月联考数学试题
江苏省句容市第三中学、海安实验中学2023-2024学年高三上学期10月联考数学试题(已下线)考点9 与二次函数相关的参数问题 --2024届高考数学考点总动员【练】江苏省苏州新草桥中学2023-2024学年高二下学期5月月考数学试题
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9 . 函数
(
为常数)有下列结论:
无论
为何值,该函数都经过定点
;
若
,则当
时,
随
增大而减小;
该函数图象关于
轴对称;
若该函数图象与
轴有
个交点,则
.其中正确的结论是______ (填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5127c7e8124ea12706a0e00b7e01b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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10 . 定义
为函数
的特征数,下面给出特征数为
的函数的一些结论:①当
时,函数图象的顶点坐标是
;②当
时,函数图象截
轴所得的线段长度大于
;③当
时,函数在
时,
随
的增大而减小;④当
时,函数图象必经过两定点. 其中正确的结论有_________________ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5c14d63e6ef994ff6a802cb4426050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83f2638d71e5d00c241c6704b32094d.png)
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