12-13高一上·福建泉州·期末
1 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1284b5bfb9d554ffa69bceeea734f93a.png)
(1)若
,求
;
(2)若
,求实数
取值的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1284b5bfb9d554ffa69bceeea734f93a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797c132ca298a11b53f0fe600f95879b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 已知
求
的解集;
若
,对
,恒有
成立,求实数x的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9f98e0411f336e55b6de86afbc2e55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db466e4b4654c70bf79fa77d293b38b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39933bbb510526b146ebf74a1b239054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16317ba64f5499277b6ed6eb1e890904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6010d674b35f17c138d161b09f7ee713.png)
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3 . 已知圆
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
A.过点![]() ![]() ![]() |
B.过直线![]() ![]() |
C.圆O与圆![]() ![]() |
D.圆O上有2个点到直线![]() |
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2023-12-01更新
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5卷引用:福建省莆田市第七中学、第十一中学、第十五中学等校2023-2024学年高二上学期期末联考数学试题
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4 . 已知函数
,若存在四个实数
,
,
,
,使得
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ea84cabb1b650608312223fef179e8.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8a6c0f752f63f95ffb36a68443af3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138348b078a119a26e9848cad0f060a2.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2024-01-27更新
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2卷引用:福建省宁德市2023-2024学年高一上学期1月期末质量检测数学试题
5 . 已知圆
下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985fb40d694595d9a1aabbc7a47882fd.png)
A.过点![]() ![]() ![]() ![]() ![]() |
B.过直线![]() ![]() ![]() ![]() ![]() ![]() |
C.圆![]() ![]() ![]() ![]() |
D.圆![]() ![]() |
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2024-01-05更新
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5卷引用:福建省莆田二中、仙游一中、仙游金石中学、哲理中学2023-2024学年高二上学期期末联考数学试卷
6 . 已知正方体
的棱长为2,点E、F分别是棱
、
的中点,点P在四边形
内(包含边界)运动,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.若P是线段![]() ![]() ![]() |
B.若P在线段![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2022-03-22更新
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3卷引用:福建省福州第四中学2021-2022学年高一下学期期末检测数学试题
7 . 2020年新冠病毒爆发,许多志愿者积极参加抗疫活动.现有甲、乙两位志愿者同时徒步从A地出发赶往C地,甲不经B地直接匀速前往C地,他的速度(单位:千米/小时)范围由函数
决定:乙经B地接人后前往C地,速度为8千米/小时,此间在B地停留15分钟,其中AC=5千米,AB=4千米,BC=2千米,如图.
![](https://img.xkw.com/dksih/QBM/2020/7/27/2515068841705472/2515147582939136/STEM/7812f4d9763c4e9e807f51b8a1a747c4.png?resizew=228)
(1)求v(x)的取值范围;
(2)若甲以最快速度赶往C地,且志愿者的对讲机的有效通话距离是3千米,试问这一路上甲、乙两人的对讲机是否能正常通话?请说明理由.
(3)甲、乙到达C地后原地等待,为使两位志愿者在C处互相等待的时间不超过1小时,甲的速度v(x)中x应控制在什么范围内?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7fcd9353491f1a674533dac241ddea.png)
![](https://img.xkw.com/dksih/QBM/2020/7/27/2515068841705472/2515147582939136/STEM/7812f4d9763c4e9e807f51b8a1a747c4.png?resizew=228)
(1)求v(x)的取值范围;
(2)若甲以最快速度赶往C地,且志愿者的对讲机的有效通话距离是3千米,试问这一路上甲、乙两人的对讲机是否能正常通话?请说明理由.
(3)甲、乙到达C地后原地等待,为使两位志愿者在C处互相等待的时间不超过1小时,甲的速度v(x)中x应控制在什么范围内?
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8 . 已知函数
的图像经过点
及![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/afcd162c07a24285b6d03be16c738e1c.png)
(1)已知
时,
恒成立,求实数
的取值范围;
(2)当
取上述范围内的最大整数值时,若有实数
,使得
对于
恒成立,求
的值.
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/a9753afc4ec9497ab4ea72417480c117.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/a005f371287e40468492bbbaafe43af0.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/afcd162c07a24285b6d03be16c738e1c.png)
(1)已知
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/07362fce4e25494cadacf2425b835593.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/f9af49d09878472cb85362e63b1c2a54.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/abb3062e2f984056b731c0c26a8fc69a.png)
(2)当
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/abb3062e2f984056b731c0c26a8fc69a.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/024ac4272c464059931835d301b5b677.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/51addacc3a1245328b35decc2ca4f4d8.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/74a13c911e364fac858915ac293619d5.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572999335944192/1572999341801472/STEM/61b482eb24e348bb85193abfd27a844e.png)
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9 . 已知函数
(
)在其定义域内有两个不同的极值点.
(I)求a的取值范围;
(II)记两个极值点分别为
,且
.已知
,若不等式
恒成立,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5124251b521fb2525f55b99ee9ff6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(I)求a的取值范围;
(II)记两个极值点分别为
![](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/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5def2e680848aaf69b5a8c0f50ce05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2016-12-04更新
|
781次组卷
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10卷引用:福建省闽侯县第八中学2018届高三上学期期末考试数学(理)试题