名校
解题方法
1 . 已知随机变量
,
,且
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1290917c2c835b61384480b335cc1d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388490b83df30cb927fadc82933c1f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b01f1db86ea85e706afba1980123328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5458a90c448365b4e67d3e75a4b7e26d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
今日更新
|
473次组卷
|
2卷引用:江苏省南京市第五高级中学2023-2024学年高二下学期5月阶段性质量监测数学试卷
2 . 已知
中,角A,B,C所对的边分别为a,b,c,若
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d80c53a03fa03cd3212cc4ac70be1ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc16f1c5f636307037ea3b98208763c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 已知向量
,
,若
,
的夹角为钝角,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303e0f7b92a9fb0bca726e1de9d9df98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d830f1864615e29ce030b533bed3834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 同时抛掷两枚质地均匀的骰子,观察向上的点数,设事件
“第一枚向上点数为奇数”,事件
“第二枚向上点数为偶数”,事件
“两枚骰子向上点数之和为8”,事件
“两枚骰子向上点数之积为奇数”,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26308ea6d8f321d27acbd7f9b131f9f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6d85799453899836bc34ad276ec80e.png)
A.![]() | B.A与C相互独立 | C.B与D互斥 | D.B与D相互独立 |
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6 . 已知数据
的平均数为10,方差为5,数据
的平均数为
,方差为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ef7e4d476f582e5c48c40bfb95d59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10be67b56c6c8299d1433c473df384b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe7f95b5d89f9409ec24536da9e826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671f43c79d612c93a6d160335e86e177.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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7 . 设复数
(i为虚数单位),则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b91cd2f82cadbdeae3a6518ec5a06c.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知m,n为两条不同的直线,α,β为两个不同的平面,则下列结论中正确的是( )
A.若![]() ![]() ![]() |
B.若m⊥α,n⊥α,则![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.若α⊥β,![]() |
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解题方法
9 . 如图,四棱锥
中,
面
,四边形
为正方形,
,
与平面
所成角的大小为
,且
,则四棱锥
的外接球表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5b87e9c2668babc037844dd615cb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
A.26π | B.28π |
C.34π | D.14π |
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解题方法
10 . 已知函数f(x)=
sin x+m cos x
(1)若函数 f(x) 的图象关于直线x=
轴对称,求实数m的值.
(2)已知锐角△ABC的角A,B,C对边分别是a,b,c,c=
且当m=1时满足 f(A)= ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca69890d870ac9a79fe891ff57396e37.png)
(i)若∠BCA的角平分线交边AB于D,且CD=
,求△ABC的周长;
(ii)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)若函数 f(x) 的图象关于直线x=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
(2)已知锐角△ABC的角A,B,C对边分别是a,b,c,c=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca69890d870ac9a79fe891ff57396e37.png)
(i)若∠BCA的角平分线交边AB于D,且CD=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d808aaeab0898dc2f2234d4f7d4b7a.png)
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