19-20高二下·上海浦东新·阶段练习
名校
解题方法
1 . 正四棱锥
的底面正方形边长是3,
是在底面上的射影,
,
是
上的一点,过
且与
、
都平行的截面为五边形
.
![](https://img.xkw.com/dksih/QBM/2020/5/4/2455313146961920/2455679765872641/STEM/99c63537a094425cac0803ac5f8d88c6.png?resizew=157)
(1)在图中作出截面
,并写出作图过程;
(2)求该截面面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f091d853ef8f4133dfa73d7b9622cee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f48aa3096fb3db24874b1c6701a6ed.png)
![](https://img.xkw.com/dksih/QBM/2020/5/4/2455313146961920/2455679765872641/STEM/99c63537a094425cac0803ac5f8d88c6.png?resizew=157)
(1)在图中作出截面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f48aa3096fb3db24874b1c6701a6ed.png)
(2)求该截面面积的最大值.
您最近一年使用:0次
2020-05-04更新
|
1297次组卷
|
6卷引用:上海市华东师范大学第二附属中学2019-2020学年高二下学期(4月)月考数学试题
(已下线)上海市华东师范大学第二附属中学2019-2020学年高二下学期(4月)月考数学试题(已下线)专题5.8 期末考前选做30题(解答题压轴版)-2020-2021学年高二数学下学期期末专项复习(沪教版)2020届上海市高三高考压轴卷数学试题(已下线)重难点05 空间向量与立体几何-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)第09讲 空间几何体的结构与直观图(核心考点讲与练)(1)(已下线)第四章 立体几何解题通法 专题一 降维法 微点1 降维法(一)【基础版】
名校
解题方法
2 . 正四棱锥
的底面正方形边长是4,
是
在底面上的射影,
,
是
上的一点,
,过
且与
、
都平行的截面为五边形
.
![](https://img.xkw.com/dksih/QBM/2020/11/25/2600436185726976/2603603820740608/STEM/9af09dca-8b60-4b65-8787-240081425a51.png)
(1)在图中作出截面
(写出作图过程);
(2)求该截面面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.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/634e91a3d04eb1b522444cb2378c05da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e588f65cab66cf2e5a11ee504024e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f48aa3096fb3db24874b1c6701a6ed.png)
![](https://img.xkw.com/dksih/QBM/2020/11/25/2600436185726976/2603603820740608/STEM/9af09dca-8b60-4b65-8787-240081425a51.png)
(1)在图中作出截面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f48aa3096fb3db24874b1c6701a6ed.png)
(2)求该截面面积.
您最近一年使用:0次
2020-11-29更新
|
2289次组卷
|
2卷引用:福建省莆田第一中学2020-2021学年高二上学期期中考试数学试题
名校
3 . 某网络营销部门为了统计某市网友某日在某淘宝店的网购情况,随机抽查了该市当天
名网友的网购金额情况,得到如下统计表(如图).
![](https://img.xkw.com/dksih/QBM/2020/1/27/2386291167076352/2387480819335168/STEM/952d43673c394b3488e11b3824980e36.png?resizew=297)
若网购金额超过
千元的顾客定义为“网购达人”,网购金额不超过
千元的顾客定义为“非网购达人”,已知“非网购达人”与“网购达人”人数比恰好为
.
(Ⅰ)试确定
的值,并补全频率分布直方图(如图);
(Ⅱ)该营销部门为了进一步了解这
名网友的购物体验,从“非网购达人”与“网购达人”中用分层抽样的方法抽取
人,若需从这
人中随机选取
人进行问卷调查.设
为选取的
人中“网购达人”的人数,求
的分布列及其数学期望.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3779b4ea5477aebfe85113b0de1d60.png)
网购金额(单位:千元) | 频数 | 频率 |
![]() | 3 | 0.05 |
![]() | ![]() | ![]() |
![]() | 9 | 0.15 |
![]() | 15 | 0.25 |
![]() | 18 | 0.30 |
![]() | ![]() | ![]() |
![](https://img.xkw.com/dksih/QBM/2020/1/27/2386291167076352/2387480819335168/STEM/952d43673c394b3488e11b3824980e36.png?resizew=297)
若网购金额超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b1dcdac71e394e495d069f64e1f1ce9.png)
(Ⅰ)试确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b201bb58555319b9e361c4354bb13.png)
(Ⅱ)该营销部门为了进一步了解这
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3779b4ea5477aebfe85113b0de1d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
您最近一年使用:0次
16-17高二下·上海浦东新·期中
名校
4 . 已知z是实系数方程
的虚根,记它在直角坐标平面上的对应点为
,
(1)若
在直线
上,求证:
在圆
:
上;
(2)给定圆
:
(m、
,
),则存在唯一的线段s满足:①若
在圆C上,则
在线段s上;②若
是线段s上一点(非端点),则
在圆C上、写出线段s的表达式,并说明理由;
(3)由(2)知线段s与圆C之间确定了一种对应关系,通过这种对应关系的研究,填写表(表中
是(1)中圆
的对应线段).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7383c643d74bb787f8f101830c12fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52225f75cebeb64408d27837cec03b98.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f00fdb0b1dfb21a2e192990b79be37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f281814a940820e52ec332185871e22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52225f75cebeb64408d27837cec03b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383fcc122f267043fbafe0972bfb900.png)
(2)给定圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5303146fa7877bef2e0bf9acaecaa962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b23a85c638da170e789c173739da6bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52225f75cebeb64408d27837cec03b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f00fdb0b1dfb21a2e192990b79be37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f00fdb0b1dfb21a2e192990b79be37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52225f75cebeb64408d27837cec03b98.png)
(3)由(2)知线段s与圆C之间确定了一种对应关系,通过这种对应关系的研究,填写表(表中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9ab1621cd729a18b2173e95d557376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
线段s与线段![]() | m、r的取值或表达式 |
s所在直线平行于![]() | |
s所在直线平分线段![]() |
您最近一年使用:0次
5 . 在平面直角坐标系上,已知点
,
,
是平面上的一个动点,设
,
,满足
.
(1)求
的取值范围;
(2)求点
的轨迹,并画出它的图像.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654159e5670167bd400ad8bf02d57632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2428a66ef7d3a2325fd3e74a0997a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b0ba5c937b27a27b5ef5ab9e51a935.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
6 . 如图,正
的边长为1,
分别是边
上的点,将三角形沿
对折,顶点
恰好落在边
上的点
处,设
,求
满足的关系式并在直角坐标系中画出大致图像,求出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9178fc8b5d65aa75fa9196294a0db7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98842968c75427c940b34de391a3a778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c6f95fb0f50d816861bc3a526aee76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6c6e7c025362c46a64a8956761f08e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e89e2468f74be03fd14c62e1a157e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9defa23d2a9b88f4dd10e0ea4bef2189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/e4bfcfd8-40db-489f-9b73-4bc66ef9e712.png?resizew=155)
您最近一年使用:0次
7 . (1)画出函数
的图像;
(2)如果关于
的方程
有4个实数根,求实数
的取值的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b18ec602912fdf62a780813e969d58.png)
(2)如果关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8004926535d4be0db722094317b9ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 如图,A为x轴正半轴上一点,
; B为ON上的一点,且
;C为AB的中点,且关于OB的对称点为D.求点D的轨迹方程,并画出大致图像.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6ce1a7febc2efc0267a9703cb028c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fa3aea72ccc36948a4a90f7368f71.png)
![](https://img.xkw.com/dksih/QBM/2018/12/4/2089400111366144/null/STEM/1f0876bbb2364d1e9731aaa003e9b722.png?resizew=395)
您最近一年使用:0次
9 . 一个多面体的直观图、正(主)视图、侧(左)视图如图1和图2所示,其中正(主)视图、侧(左)视图均为边长为
的正方形.
(Ⅰ)请在指定的位置画出多面体的俯视图;
(Ⅱ)若多面体底面对角线
交于点
,
为线段
的中点,求证:
平面
;
(Ⅲ)求该多面体的表面积.
![](https://img.xkw.com/dksih/QBM/2011/12/5/1570556496969728/1570556501884928/STEM/90e53be15af4481e9e93bd25bb076c66.png?resizew=107)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅰ)请在指定的位置画出多面体的俯视图;
(Ⅱ)若多面体底面对角线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8823177e737401071d6aedad22672405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d93daae6ec80968c0630e229c1fa1b84.png)
(Ⅲ)求该多面体的表面积.
![](https://img.xkw.com/dksih/QBM/2011/12/5/1570556496969728/1570556501884928/STEM/90e53be15af4481e9e93bd25bb076c66.png?resizew=107)
![](https://img.xkw.com/dksih/QBM/2011/12/5/1570556496969728/1570556501884928/STEM/a3973d24a6c2422d83c47dff7472dadc.png?resizew=176)
您最近一年使用:0次