2024·全国·模拟预测
名校
解题方法
1 . 已知
,
,
,
,
,
,记
.当
,
,
,
,中含
个6时,所有
不同值的个数记为
.下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0588c80fa0ee2598f12eb7725c2e406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac49ab7c8001c209b8611b9ea40d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d058ad62654d3eb8296dab77d2350291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94adca5d298d02763dce69b0a455f12b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8b673c3ccb0226e8b1f0898cf1a889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc730c65d0e335cbb1fb4e81de5f3ea.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.对于任意奇数![]() |
D.对于任意整数![]() |
您最近一年使用:0次
2024-01-14更新
|
643次组卷
|
5卷引用:江西省上饶市私立新知学校2023-2024学年高二上学期期末数学试题
江西省上饶市私立新知学校2023-2024学年高二上学期期末数学试题(已下线)2024南通名师高考原创卷(十)吉林省长春市第二实验中学2023-2024学年高二下学期开学测试数学试题(已下线)专题01 两个计数原理与排列组合(7类压轴题型)-【常考压轴题】2023-2024学年高二数学压轴题攻略(人教A版2019选择性必修第三册)(已下线)压轴题08计数原理、二项式定理、概率统计压轴题6题型汇总
2024·全国·模拟预测
名校
解题方法
2 . 如图,在平面直角坐标系中,已知点
,
是线段
上的动点,点
与点
关于直线
对称.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d838198205e4fad8a02361ea2d8e8215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/28/6b645f0c-5a3c-4ca6-b0c5-eef4c8f1e70f.png?resizew=164)
A.当![]() ![]() ![]() |
B.![]() |
C.当点![]() ![]() ![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2024-01-14更新
|
564次组卷
|
4卷引用:福建省莆田市莆田第一中学2024届高三上学期第一次调研数学试题
福建省莆田市莆田第一中学2024届高三上学期第一次调研数学试题湖南省株洲市第二中学2024届高三上学期第一次调研数学试题(已下线)2024南通名师高考原创卷(六)(已下线)考点4 平面向量的范围问题 --2024届高考数学考点总动员【练】
名校
3 . 已知
,
,
,
和
,
,
,
,
分别是两个公差不为零的等差数列,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9314bd1d7a6e070f4f2428f9a321804e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 如图,这是某公园的一条扇形闭合路
,其中弧
所对的圆心角为2.4,
,则这条扇形闭合路的总长度为__________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e11402c6ef570664e353d614a69781f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/484b1cf0-349c-443d-9279-66b13c859139.png?resizew=177)
您最近一年使用:0次
2024-01-14更新
|
218次组卷
|
3卷引用:吉林省部分名校2023-2024学年高一上学期期末联合考试数学试题
5 . 设椭圆C:
的左、右焦点分别为
,
,上顶点为
,过
的直线
与椭圆相交于
,Q两点,与直线
平行的直线
与椭圆
相切,切点为
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82766cfd2b7c59c7fac5b827ae5863b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80ecb6b5d5eca464b3f099513c08fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.若![]() ![]() ![]() ![]() |
B.若直线![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.若点![]() ![]() ![]() |
D.若点![]() ![]() ![]() |
您最近一年使用:0次
2024·全国·模拟预测
名校
6 . 将棱长为
的正方体的六个面的中心的连线所围成的八面体挖空,其中放置一个玻璃球体,要求玻璃球与这个八面体的八个面都相切,则该玻璃球的表面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 .
年
月
日至
月
日在国家会展中心举办中国国际进口博览会期间,为保障展会的顺利进行,有
、
两家外卖公司负责为部分工作者送餐.两公司某天各自随机抽取
名送餐员工,统计
公司送餐员工送餐数,得到如图频率分布直方图;统计两公司
样本送餐数,得到如图送餐数分布茎叶图,已知两公司
样本送餐数平均值相同.
的值
(2)求
、
的值
(3)为宣传道路交通安全法,并遵循按劳分配原则,
公司决定员工送餐
份后,每多送
份餐对其进行一次奖励,并制定了两种不同奖励方案:
方案一:奖励现金红包
元.
方案二:答两道交通安全题,答对
题奖励
元,答对
题奖励
元,答对
题奖励
元.员工每一道题答题相互独立且每题答对概率为
与该员工交通安全重视程度相关).
求下表中
的值(用
表示);从员工收益角度出发,如何选择方案较优?并说明理由.
附:方案二综合收益
满足公式
,
为该员工被奖励次数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e946baf1316ac1f219398ecedadf6cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0b71b8d2c183154221f717ce09077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0b71b8d2c183154221f717ce09077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53c7539ed297ea63b9ace6f5cc58ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4204a934372022fa08a7e739ab46a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4204a934372022fa08a7e739ab46a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)为宣传道路交通安全法,并遵循按劳分配原则,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
方案一:奖励现金红包
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
方案二:答两道交通安全题,答对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab536a2d8d4048721c6cdc4ca63d62f.png)
求下表中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
附:方案二综合收益
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4091129b29f7c6be1d0ee9ff2dd4fbec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
方案二奖励 |
|
|
|
概率 |
您最近一年使用:0次
2024-01-13更新
|
494次组卷
|
7卷引用:福建省莆田市莆田第一中学2024届高三上学期第一次调研数学试题
福建省莆田市莆田第一中学2024届高三上学期第一次调研数学试题上海市浦东区2023-2024学年高二上学期期末考试数学试卷上海市浦东新区2023-2024学年高二上学期期末数学试题(已下线)第3讲:决策的选择问题【练】(已下线)第04讲 7.3.1离散型随机变量的均值-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第三册)(已下线)7.3.1 离散型随机变量的均值——随堂检测(已下线)专题06 概率初步(续) 成对数据的统计分析
8 . 点
将一条线段
分为两段
和
,若
,则称点
为线段
的黄金分割点.已知直线
与函数
的图象相交,
为相邻的三个交点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58615bd23ace29f63b9ad9462c026373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629295a6586ebe4586a0825f5c66a7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644ffeda5b819d3714321c1264159fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
A.当![]() ![]() ![]() ![]() |
B.对于给定的常数![]() ![]() ![]() ![]() |
C.对于任意的![]() ![]() ![]() ![]() |
D.对于任意的![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 过抛物线C:
上的一点
作两条直线
,
,分别交抛物线C于A,B两点,F为焦点( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8c4afeb6cf6e4eac6c1044ecb12a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
A.抛物线的准线方程为![]() |
B.过点![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
7日内更新
|
323次组卷
|
2卷引用:黑龙江省佳木斯市第一中学2023-2024学年高三第三次模拟考试数学试题
10 . 已知
都是正数,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ba34cd1bb4ceedec0902f6bc2f7ff7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次