名校
1 . 已知三棱锥
中,
平面
,
,
,
,
,则该三棱锥外接球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddae1423bd8fbb05d671234c14180272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc6058c5ccad415e93468855faefb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c9882ecef766be85dd3d2b1d906d29.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 若抛物线
的准线经过双曲线
的右焦点,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec68c680d1b8c8cfa98b48a27d2c46a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5848e50805496263d52dcbde9671a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.4 | C.![]() | D.8 |
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解题方法
3 . 已知
,集合
,
,则图中阴影部分表示的集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcaf41cda5c2df78a0ed2ac97277ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39083184dfc48b3112b9a915960cc8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd3a2fa07abee1ab1349846c238c502.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 若制作一个容积为
的圆锥形无盖容器(不考虑材料的厚度),要使所用材料最省,则该圆锥的高是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fb457e8ac0d3ac35e1c668ea138f91.png)
A.![]() | B.2 | C.![]() | D.4 |
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2024-06-04更新
|
549次组卷
|
2卷引用:福建省莆田市2024届高三第四次教学质量检测(三模)数学试题
名校
解题方法
5 . 已知
,
均为锐角,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936d946492774753d3846d8cb77bc1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070786b628b5573e6dbd73c252ffb010.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 某同学统计最近5次考试成绩,发现分数恰好组成一个公差不为0的等差数列,设5次成绩的平均分数为
,第60百分位数为
,当去掉某一次的成绩后,4次成绩的平均分数为
,第60百分位数为n.若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe7f95b5d89f9409ec24536da9e826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb525270c748eddaaecc4a549cca250e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c832b227bbf542555a594c557a0ff5bb.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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解题方法
7 . 已知
为奇函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57357eb47c01b6864e8e4863079b52ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff56b7d63e0f8f695c5a88c7ec85e85.png)
A.6 | B.5 | C.![]() | D.![]() |
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8 . 在平面直角坐标系
中,点P在直线
上.若向量
,则
在
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfc6b5b7ae63a330f0cd8593ee47338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
9 . 已知数据
,
,…,
的平均数为
,方差为
,数据
,
,
,…,
的平均数为
,方差为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cdcfc1fabb47abf27cf7fb19587146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe7f95b5d89f9409ec24536da9e826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671f43c79d612c93a6d160335e86e177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a219c950d45cf8de7191d32bde3211e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b5d5df229b4bd36cf5a1f1c218efb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b96e2b7111d8ca9623e40a50cc7c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb161d863b8d35f71c685760ba5d0dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848dac3d6db7c23c58f399970b3f9b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbc29b47b83fdc5368770b7b1acb439.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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10 . 二维码与我们的生活息息相关,我们使用的二维码主要是
大小的特殊的几何图形,即441个点.根据0和1的二进制编码规则,一共有
种不同的码,假设我们1万年用掉
个二维码,那么所有二维码大约可以用( )(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6caf0299fa67ea7245d45db27ec90e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f9da635aec016cc389a7ea0dd9762b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632d26c7f84d4658d8bebd3265b13273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc146f4d7196cfb8fe3cd04575f5dcee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-01更新
|
525次组卷
|
3卷引用:2024届福建省厦门第一中学高考模拟(最后一卷)数学试题