名校
1 . 下列说法中,正确的个数为( )
①样本相关系数
的绝对值大小可以反映成对样本数据之间线性相关的程度;
②用不同的模型拟合同一组数据,则残差平方和越小的模型拟合的效果越好;
③随机变量
服从正态分布
,若
,则
;
④随机变量
服从二项分布
,若方差
,则
.
①样本相关系数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
②用不同的模型拟合同一组数据,则残差平方和越小的模型拟合的效果越好;
③随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c1add9e8dac346efb4053eb270618c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d4d8e99b6c3857c374b1226f3e2c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a9b2efb9977b751ba7baec8a39efea.png)
④随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d627c11fb9badc9f8c1eb4ae1bb141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa70d0eba41ec3247049f430ea8a1d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18f76b9ac1017fb48ea30912fba4f65.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
7日内更新
|
102次组卷
|
2卷引用:天津市和平区2024届高三第三次质量调查(三模)数学试卷
名校
2 . 如图,在直三棱柱
中,
是棱BC上一点(点D与点
不重合),且
,过
作平面
的垂线
.
;
(2)若
,当三棱锥
的体积最大时,求AC与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9d2462e6dbd321cf3abae25a56adf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0e5697eca3f5205cb7b343648240bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bcc3c5b41a01362779683f5b70710c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/446091491fb55549972f35a206fcab1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5445220e9b81a876e359615859a5a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
您最近一年使用:0次
7日内更新
|
310次组卷
|
3卷引用:海南省2022-2023学年高二下学期学业水平期中考试数学试题
解题方法
3 . 已知数列
的各项都为正数,且其前
项和
.
(1)证明:
是等差数列,并求
;
(2)如果
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28237e10ec7133ec600fbd57ed2ec664.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4565e9a0c413851da65f5c44c7ba82a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
7日内更新
|
578次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
河南省濮阳市2024届高三第三次模拟考试数学试题2024届河南省名校联盟考前模拟大联考三模数学试题(已下线)高二数学期末模拟试卷02【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)
解题方法
4 . 有以下6个函数:①
;②
;③
;④
;⑤
;⑥
.记事件
:从中任取1个函数是奇函数;事件
:从中任取1个函数是偶函数,事件
的对立事件分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0865bfbdbed6158be8f799af53eeb2e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaf2bf2e03dd6d33e03b69c5a318b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4508929da7db1adb7cc7a70e91be543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94281abc10cdc81b129f685b79b60bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53b03386ed265ae10a1b62f99f1bbb9.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
7日内更新
|
283次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
5 . 已知函数
的最小正周期为
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6321349608ca05d80eea5f3e7afffbd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
7日内更新
|
495次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
名校
6 . 如图所示,在四棱锥
中,
,
,
,
为正三角形.
在平面
上的射影
为
的外心(外接圆的圆心);
(2)当二面角
为
时,求直线
与平面
所成角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08062a925efb07c38a229b8628e3b41f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
(2)当二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d399d731913a563e291b817831a0c678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745e0525a41fe2e2a7739c75a942290b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
您最近一年使用:0次
7日内更新
|
309次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
名校
解题方法
7 . 多年统计数据表明如果甲、乙两位选手在决赛中相遇,甲每局比赛获胜的概率为
,乙每局比赛获胜的概率为
.本次世界大赛,这两位选手又在决赛中相遇.赛制为五局三胜制(最先获得三局胜利者获得冠军).
(1)现在比赛正在进行,而且乙暂时以
领先,求甲最终获得冠军的概率;
(2)若本次决赛最终甲以
的大比分获得冠军,求甲失分局序号之和
的分布列和数学期望.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(1)现在比赛正在进行,而且乙暂时以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124656394b0674aa1266ba4760bc602f.png)
(2)若本次决赛最终甲以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b1dcdac71e394e495d069f64e1f1ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
您最近一年使用:0次
7日内更新
|
399次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
名校
解题方法
8 . 已知
,且
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0e9b3dcb25156d84ba8f8f02ae1771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e327ba789cbab8832344298ef9506781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
7日内更新
|
197次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
名校
解题方法
9 . 如图,在
中,角
所对的边分别为
,已知
,
的平分线
交边
于点
边上的高为
边上的高为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ada871ccdbd83b6ccbddbcd84521bc.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0d44899ceb7b3137a82f2498c6d9b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bea1b93dcf0514f157720793da1a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383d609af37a655a531e3e7441cd123e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa9e9cc8d1a0e6846523986552693cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d287c4df5c0cac5a4931edb43b01d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ada871ccdbd83b6ccbddbcd84521bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
您最近一年使用:0次
7日内更新
|
213次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
解题方法
10 . 已知平面向量
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10033683ab5630b404654fff9ad56ac6.png)
A.![]() |
B.![]() |
C.一定存在一个实数![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次