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1 . 下列说法中,正确的是( )
A.数据![]() |
B.已知随机变量![]() ![]() ![]() ![]() |
C.已知两个变量具有线性相关关系,其回归直线方程为![]() ![]() ![]() ![]() ![]() |
D.若样本数据![]() ![]() |
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2卷引用:福建省福州第一中学2024届高三下学期5月模拟数学试题
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解题方法
2 . 已知线段
是圆
的一条长为2的弦,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df672afc662c02d3c381cbab21b34611.png)
A.1 | B.2 | C.3 | D.4 |
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3 .
的展开式中常数项为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2675a7b655dc324be29b3f6be0d06cc9.png)
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4 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e092d312c29f61e4bdc544593c18bbec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a60bcbb24ca9c23a262bd59fb7b2dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知三棱锥
中,
为等边三角形,
,
,
,
,则三棱锥的外接球的半径为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a15a004f7d47ed595f063e60075223a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967f74b8993c61634ceed95edca05ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff008bf9d674fee28e3b4514d0b1c83.png)
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6 . 已知圆锥的顶点为
,母线
所成角的余弦值为
,且该圆锥的母线是底面半径的
倍,若
的面积为
,则该圆锥的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b81c01cc7eda0e228f6e2698a009cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357821e0e5595eaf3028df63d47b2c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e49817548cb45b3d1e58570644c6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f831269a126a99342369fe77b7436d52.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知复数
满足:
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffc5f8a693ada3b3583b4c004756c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d39805016968212a8fa47dacf550ce.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知实数
满足:
,则下列不等式中可能成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc2d2b344f9cf9bb1b8704ca1066011.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知函数
在点
处的切线平行于直线
.
(1)若
对任意的
恒成立,求实数
的取值范围;
(2)若
是函数
的极值点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aeedea4789c7a84a024b4f04a685f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea59cee971344ed593ff082a65d177c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2abde3fa29f92916a5c6767f4683ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2448ff8cee34c60c5ff70dd059693146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e330a579e28c7d8569f0d0fd688264d.png)
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2024-06-16更新
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584次组卷
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2卷引用:福建省福州市八县市一中2024届高三模拟预测数学试题
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10 . 已知某种机器的电源电压U(单位:V)服从正态分布
.其电压通常有3种状态:①不超过200V;②在200V~240V之间③超过240V.在上述三种状态下,该机器生产的零件为不合格品的概率分别为0.15,0.05,0.2.
(1)求该机器生产的零件为不合格品时,电压不超过200V的概率;
(2)从该机器生产的零件中随机抽取n(
)件,记其中恰有2件不合格品的概率为
,求
取得最大值时n的值.
附:若
,取
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df13d8054fa2ed53f37ee5089cb3c680.png)
(1)求该机器生产的零件为不合格品时,电压不超过200V的概率;
(2)从该机器生产的零件中随机抽取n(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffb021aa7d5a5c2f0691e337caad624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffb021aa7d5a5c2f0691e337caad624.png)
附:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb52f7d678409f5d38ab9eeb9ac4f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4eaf86de1e61cfd0360e32481b4be8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aaa89ddcf482b4a5a66eb5163955dce.png)
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2024-06-16更新
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682次组卷
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3卷引用:福建省福州市八县市一中2024届高三模拟预测数学试题