1 . 某市为了了解全市1万名学生的汉字书写水平,在全市范围内进行了汉字听写考试,发现其成绩服从正态分布
,现从某校随机抽取了50名学生,将所得成绩整理后,绘制如图所示的频率分布直方图.
的值,并估算该校50名学生成绩的中位数;
(2)现从该校50名考生成绩在
的学生中随机抽取两人,这两人成绩排名(从高到低)在全市前230名的人数记为
,求
的概率分布和均值.
参考数据:
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b9b19ebe7b7b93862c38d7682e980f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)现从该校50名考生成绩在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079898350667d1a0cff92efd00b6a629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577de818db1931ba3147c204da57ff56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcbf85c1994c4ae75ac51990301df916.png)
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名校
解题方法
2 . 下列说法中,正确的是( )
A.一组数据10,11,11,12,13,14,16,18,20,22的第40百分位数为12 |
B.回归分析模型中,决定系数![]() |
C.在![]() |
D.已知一系列样本点![]() ![]() ![]() ![]() ![]() |
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名校
3 . 已知
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5712e30a6ea2ebb641e7817515bf453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.1 | B.3 | C.1或4 | D.1或3 |
您最近一年使用:0次
名校
解题方法
4 . 已知函数
的定义域内R,则实数m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8246808ce1d2280d86901c53dd453e6e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-08更新
|
541次组卷
|
3卷引用:重庆市重庆市长寿区重庆市长寿川维中学校2023-2024学年高二下学期5月月考数学试题
名校
5 . 已知函数
在
处取得极值
,其中
.
(1)求
的值;
(2)当
时,求
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5c949667d32ca0bc0998ae5aa64931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2024-04-07更新
|
1275次组卷
|
2卷引用:重庆市重庆市长寿区重庆市长寿川维中学校2023-2024学年高二下学期5月月考数学试题
6 . 一排有
个座位,如果每个座位只能坐
人,现安排四人就座,恰有两个空位相邻的不同坐法有__________ 种
用数字作答
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
您最近一年使用:0次
2024-03-07更新
|
1430次组卷
|
4卷引用:重庆市重庆市长寿区重庆市长寿川维中学校2023-2024学年高二下学期5月月考数学试题
重庆市重庆市长寿区重庆市长寿川维中学校2023-2024学年高二下学期5月月考数学试题山东省青岛市2023-2024学年高二上学期期末学业水平检测数学试题(已下线)专题05选择性必修三+选择性必修四期末考点汇总(12题型)-1(已下线)专题02 计数原理-2
解题方法
7 . 已知函数
的定义域为
,部分对应值如下表,
为
的导函数,函数
的图象如下图所示.若实数
满足
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bbc8d2c4afbc186717a75e1fcfa5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851c68ef2e0703706f3b528daa902eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a1b87339af8116594a8ccf23c47eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() |
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/1/7ebccdc0-943f-4dd2-b4c8-7f902a49b6e8.png?resizew=165)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 如图,在四棱锥
中,底面
是矩形,且
,
,
平面
,
、
分别是线段
、
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/1/8a7462c6-c92d-4ed5-a22b-ddd652e46b9b.png?resizew=168)
(1)证明:
;
(2)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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96127e45e2dd2494fccb1c0905951f0b.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/1/8a7462c6-c92d-4ed5-a22b-ddd652e46b9b.png?resizew=168)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d603566c74b1d5de510a2e8f7859010.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0901e2f5cefe6468cbbcaa332287d63.png)
您最近一年使用:0次
解题方法
9 . 如图,是棱长为4的正方体
,点
在正方体的内部且满足
,则
到面
的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a0c3a4e61b97fa9bc58f3179fc2958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb32b414d7cb9c5734f893a1ce5140f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8945feca26a1960e7414511524beed.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/1/a7e106fb-9f8c-45f4-8852-cf84733226f0.png?resizew=171)
您最近一年使用:0次
解题方法
10 . 已知点
,
是椭圆
:
的左右焦点,且椭圆
的短轴长为
,离心率为
.
(1)求椭圆
的方程;
(2)若直线
过点
且斜率为2,与椭圆
交于
两点,求线段
的值.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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