名校
1 . 已知函数
.
(1)若
在区间
上的最小值为
,求
的值;
(2)若存在实数
,
使得
在区间
上单调且值域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e070b78d34f676862357a6e8140db2fa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2019-07-09更新
|
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8卷引用:四川省成都市实验外国语学校2022-2023学年高一上学期期末考试数学试题
名校
2 . 已知函数
,其中
为实数.
(Ⅰ)当
时,求函数
的最小值;
(Ⅱ)若
在
上为增函数,求实数
的取值范围;
(Ⅲ)对于给定的负数
,若存在两个不相等的实数
(
且
)使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8150bd4825bd86621322e07f5c4bf77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)对于给定的负数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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/3d1b87613e5700880384c5a3e3112c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2037b0bad7c7a312bac1ac0653d9a491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0787d6cb7fde5e0490ebf1d62b4ad6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
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2019-07-09更新
|
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6卷引用:四川省成都市第七中学2022-2023学年高一上学期12月月考数学试题
10-11高三上·四川成都·阶段练习
3 . 已知函数
.给出下列命题:①
必是偶函数;②当
时,
的图像必关于直线x=1对称;③若
,则
在区间
上是增函数;④
有最大值
. 其中正确的序号是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1124bdfc04fe6e296c39da7ee4c5640.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90273593dca08da1b9e33e3a8663c514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8e281e0aebdba052969bf11cf86430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2010/9/23/1569838391599104/1569838396899328/STEM/ba691d1458bb44de872b0f4f4d5697fa.png?resizew=52)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328622db9462229e5104c43f125a67d4.png)
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5卷引用:成都市玉林中学2010—2011学年度(上学期)诊断性评价模拟试卷(理科)
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