1 . 已知函数
的值域为
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba529a0fb1af23c0935d9f043db70658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-16更新
|
293次组卷
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3卷引用:广东省湛江市2023-2024学年高一上学期11月期中数学试题
名校
解题方法
2 . 已知N为抛物线
上的任意一点,M为圆
上的一点,
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a1e850d701e56c32605b9dfff36195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dfafe74b8f447036ea750c47603080.png)
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2023-11-16更新
|
1240次组卷
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6卷引用:湖南省长沙市雅礼中学2023-2024学年高二上学期期中数学试题
3 . 设函数
的定义域为
,满足
,且当
时,
.若对任意
,都有
,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322eb46d949b9580bcc057d146b7fc58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bb7883ea87e6275472dbe14ee62357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffa2b2fa52272ca3b60a319f6d632d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58640a13608e28bdba923ce9b0fc2f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99f6241f03f76761403af0c53d3a0f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
4 . (1)已知关于
的方程
有两个实数根
、
,则
的取值范围是______ ;
(2)对于区间
我们规定
是这个区间的“长度”.已知
、
都是集合
的子集,
,
,则集合
“长度”的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0696dae980c6542aaef11d501a3da107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de4736571ef8eaf36b280d70ca3acc2.png)
(2)对于区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e06343b4506a3741b3469cbff39eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb5110572c30ca3b7abda24c7a34dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7926d19cfb9fc821d6c4bfa5601ad8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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5 . 函数
的值域是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e6477a413e63d5a3484595c67db851.png)
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名校
6 . 已知函数
,则
的值域为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d770a0f0a1b29dc22d4cc20f0f85ab81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
7 . 已知函数
和
.若
,
恒成立,则
的取值范围是______ ;若对
,都
,使得
恒成立,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdc5e9e085ac997e6de5f522fd46804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a6adcaa399bc6fdd9057d345051bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5d9a0f5e3cbc65ea723d7d95a64265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8688297990e6616b7e1b8ee2269b37e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9670606ab5bc0602301a2cc25151e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 已知函数
,则
的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d96f7a1c5b2cff83bebc76ab7223a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
9 . 已知
,当
时,
恒成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb93d10fda229dc4a697f2256783c890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c91a605ec382a8e3a65262ede9ea5093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5931095eb29d9d6b55ed9fa32a4ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-13更新
|
394次组卷
|
4卷引用:北京市铁路第二中学2023-2024学年高一上学期期中考试数学试题
北京市铁路第二中学2023-2024学年高一上学期期中考试数学试题(已下线)【第三练】3.2.1单调性与最大(小)值广东省东莞高级中学、东莞第六高级中学2023-2024学年高一上学期12月联合教学质量检测数学试卷(已下线)1.2常见逻辑用语(高三一轮)【同步课时基础卷】
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10 . 已知函数
,若
,则
的值域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bb8e25339d3abe55dc2313b45824e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99bb251be96d428cc38a8dd003be6379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
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