1 . 为庆祝“五四”青年节,广州市有关单位举行了“五四”青年节团知识竞赛活动,为了解全市参赛者成绩的情况,从所有参赛者中随机抽样抽取100名,将其成绩整理后分为6组,画出频率分布直方图如图所示(最低90分,最高150分),但是第一、二两组数据丢失,只知道第二组的频率是第一组的2倍.
(2)现划定成绩大于或等于上四分位数即第75百分位数为“良好”以上等级,根据直方图,估计全市“良好”以上等级的成绩范围(保留1位小数);
(3)现知道直方图中成绩在
内的平均数为136,方差为8,在
内的平均数为144,方差为4,求成绩在
内的平均数和方差.
(2)现划定成绩大于或等于上四分位数即第75百分位数为“良好”以上等级,根据直方图,估计全市“良好”以上等级的成绩范围(保留1位小数);
(3)现知道直方图中成绩在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de02738a022fd24a96a632827ec92c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46abd29c02ff6dec5aa66a7a9a2d0d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51674cb8607436989cdcdfc5c07f6b2c.png)
您最近一年使用:0次
2022-07-01更新
|
871次组卷
|
3卷引用:【人教A版(2019)】专题18概率与统计(第二部分)-高一下学期名校期末好题汇编
名校
解题方法
2 . 如图,在棱长为
的正方体
中,
,
分别是
,
中点,过
,
,
三点的平面与正方体的下底面
相交于直线
.
的位置,并说明作图依据;
(2)正方体被平面
截成两部分,求较小部分几何体的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)正方体被平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b5b41994c2a4dfa5bb0bc984061cc.png)
您最近一年使用:0次
2023-10-04更新
|
492次组卷
|
3卷引用:河北省邢台市第一中学2023-2024学年高一下学期第三次月考(5月月考)数学试题
2023高一上·全国·专题练习
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4326f430dfeb5593acb5332a4ab8cd.png)
(1)用“五点法”画出函数
在一个周期内的图象;
列表:
作图:
的值域和最小正周期.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4326f430dfeb5593acb5332a4ab8cd.png)
(1)用“五点法”画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4326f430dfeb5593acb5332a4ab8cd.png)
列表:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4326f430dfeb5593acb5332a4ab8cd.png)
您最近一年使用:0次
4 . (1)利用“五点法”画出函数
在长度为一个周期的闭区间的简图.
列表:
作图:
的图象经过怎么变换得到的.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc488b43a6f9fe64fa30a4f8ee2d1fc.png)
列表:
x | |||||
y |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ad672c139fa8979e35f789fd43e275.png)
您最近一年使用:0次
解题方法
5 . 已知四棱锥
中,底面
为直角梯形,
平面
,
,
,
,
,M为
中点,过C,D,M的平面截四棱锥
所得的截面为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/5/38a4abaf-0a39-4e83-ace1-0120f4ff5f14.png?resizew=155)
(1)若
与棱
交于点F,画出截面
,保留作图痕迹(不用说明理由),求点F的位置;
(2)求平面
与平面
所成锐二面角的余弦值.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dceb5cc71fc50f20649f6b9535fd914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2753753faf2cb9a0003aa8e3945159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80137ee8af4684ce558242d8b3f1459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/5/38a4abaf-0a39-4e83-ace1-0120f4ff5f14.png?resizew=155)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe67036b4671b5d2a5c55b48c4d3bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
名校
解题方法
6 . 已知四棱锥
中,底面
为直角梯形,
平面
,
,
,
,
,
为
中点,过
,
,
的平面截四棱锥
所得的截面为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/4/60d03f35-7a27-4a8e-95aa-6ad937654395.png?resizew=185)
(1)若
与棱
交于点
,画出截面
,保留作图痕迹(不用说明理由),并证明
.
(2)求多面体
的体积.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2753753faf2cb9a0003aa8e3945159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80137ee8af4684ce558242d8b3f1459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/4/60d03f35-7a27-4a8e-95aa-6ad937654395.png?resizew=185)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ead5e71d659442776937400b19e230.png)
(2)求多面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673d35c60271a1f86876bf4005eee23c.png)
您最近一年使用:0次
2023-05-03更新
|
1107次组卷
|
4卷引用:重难点6-2 空间几何体的交线与截面问题(8题型+满分技巧+限时检测)
(已下线)重难点6-2 空间几何体的交线与截面问题(8题型+满分技巧+限时检测)广西邕衡金卷2023届高三一轮复习诊断性联考数学(文)试题(已下线)高一数学下学期第二次月考01(范围:平面向量,解三角形,复数,立体几何)江西省新余市第一中学2022-2023学年高一下学期第二次月考数学试题
解题方法
7 . 某校从参加高一年级期末考试的学生中抽出
名学生,将其成绩(均为整数)分成六段
后,画出如图所示部分频率分布直方图.观察图形,回答下列问题:
(1)求第四小组的频率,并补全这个频率分布直方图;
(2)估计这次考试成绩的中位数(结果取整数值);
(3)估计这次考试的众数、平均分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3779b4ea5477aebfe85113b0de1d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657c0727e41ae1cd665def5cc6e2dfcd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/c16f8a06-2148-4846-a650-e18a16c9605a.png?resizew=224)
(1)求第四小组的频率,并补全这个频率分布直方图;
(2)估计这次考试成绩的中位数(结果取整数值);
(3)估计这次考试的众数、平均分.
您最近一年使用:0次
解题方法
8 . 已知函数
.
在
上的图象;
(2)写出
的解集;
(3)把
图象向右平移
个单位长度,再将图象上所有点横坐标缩短为原来
(纵坐标不变),得到
的图象,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66931c1273b2db867d41149e1fb3a8b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c195698ac387fe53b3b1e0248a1fcc92.png)
![]() | ![]() | ![]() | ||||
![]() | 0 | ![]() | ||||
![]() |
(2)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(3)把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66931c1273b2db867d41149e1fb3a8b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
您最近一年使用:0次
9 . 已知函数
.
(1)填写下表,用“五点法”画出函数
在一个周期上的图象;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816b60d5034f6899b30aeab1e51ecdfe.png)
(1)填写下表,用“五点法”画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816b60d5034f6899b30aeab1e51ecdfe.png)
![]() | ![]() | ![]() | ![]() | ||
![]() | ![]() | ![]() | ![]() | ||
![]() | 0 | 2 | 0 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fcc71bd2da1877d85269abd79496504.png)
您最近一年使用:0次
10 . 四棱锥
中,底面
是边长为2的菱形,
.
,且
平面
,
,点
分别是线段
上的中点,
在
上.且
.
(Ⅰ)求证:
平面
;
(Ⅱ)求直线
与平面
的成角的正弦值;
(Ⅲ)请画出平面
与四棱锥的表面的交线,并写出作图的步骤.
![](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/78675cc442d678d71c6e831c0681d069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d245c35c56ded2ceb001c06a5d0ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf33d73483c93f24cc6a1d76ef22ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c590dcc28f6baa70f29a2aa7604514a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93353d428928e676b883db20613da34.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debdc6632a4877e5131d3da25cda8b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
(Ⅲ)请画出平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
您最近一年使用:0次
2018-06-16更新
|
1169次组卷
|
6卷引用:专题15 立体几何解答题全归类(练习)
(已下线)专题15 立体几何解答题全归类(练习)北京市十一学校2024届高三下学期三模数学试题【全国百强校】北京市十一学校2018届高三三模数学(文理)试题(已下线)专题24 立体几何解答题最全归纳总结-2(已下线)专题08 立体几何解答题常考全归类(精讲精练)-1(已下线)重难点突破06 立体几何解答题最全归纳总结(九大题型)-2