名校
1 . 如图,边长为1正方形
,射线
从
出发,绕着点
顺时针方向旋转至
,在旋转的过程中,记
,
所经过的在正方形
内的区域(阴影部分)的面积为
,则函数
的图像是
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/111441d2-672b-47d2-9f44-72cb82c041cb.png?resizew=135)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8213df1d2811e0ec5c6d7230fabe1c28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/111441d2-672b-47d2-9f44-72cb82c041cb.png?resizew=135)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2019-01-11更新
|
817次组卷
|
5卷引用:江西省南昌市第二中学2019-2020学年高三5月模拟数学(文)试题
2013·江西南昌·二模
2 . 如图,在等腰梯形
中,
,且
,设
,以
为焦点且过点
的双曲线的离心率为
,以
为焦点且过点
的椭圆的离心率为
,设
=
则
的大致图像是( )
![](https://img.xkw.com/dksih/QBM/2013/9/6/1571345106460672/1571345233289216/STEM/7a92ddda0b4545799b4b0f1452c25280.png?resizew=138)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12143a06ed24558d8cc7ad39961d3e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac7e84e68feb8645c7f78142ae99321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/2013/9/6/1571345106460672/1571345233289216/STEM/7f81fe19fd50462aa414475a7c8f3c61.png?resizew=14)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/2013/9/6/1571345106460672/1571345233289216/STEM/7804cf2280994b6f9dd2a70e790700ce.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2013/9/6/1571345106460672/1571345233289216/STEM/ea50ad92062648088573091fb7633bc6.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2013/9/6/1571345106460672/1571345233289216/STEM/2237166cf1d4462faf0d2726b1de0d22.png?resizew=112)
![](https://img.xkw.com/dksih/QBM/2013/9/6/1571345106460672/1571345233289216/STEM/248fe77891ae4d5388586151325f9ca7.png?resizew=69)
![](https://img.xkw.com/dksih/QBM/2013/9/6/1571345106460672/1571345233289216/STEM/7a92ddda0b4545799b4b0f1452c25280.png?resizew=138)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2013·江西吉安·一模
3 . 如图,在等腰梯形
中,
,且
,设
=
,
∈(0,
),以
为焦点且过点
的双曲线的离心率为
,以
为焦点且过点
的椭圆的离心率为
,设
的大致图像是
![](https://img.xkw.com/dksih/QBM/2013/7/18/1571291601772544/1571291607252992/STEM/fb4cd6805a1d4d568a7fc09d907de274.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37591109b0a0ec5ffe2133f83310eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12143a06ed24558d8cc7ad39961d3e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
![](https://img.xkw.com/dksih/QBM/2013/7/18/1571291601772544/1571291607252992/STEM/168bc2207b1d4fccb2705a8a4bcf110d.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2013/7/18/1571291601772544/1571291607252992/STEM/168bc2207b1d4fccb2705a8a4bcf110d.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2013/7/18/1571291601772544/1571291607252992/STEM/b6d20102b2fd43bb9d3ce03523a5d031.png?resizew=17)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://img.xkw.com/dksih/QBM/2013/7/18/1571291601772544/1571291607252992/STEM/f558fc36879840f49e866344d5346611.png?resizew=229)
![](https://img.xkw.com/dksih/QBM/2013/7/18/1571291601772544/1571291607252992/STEM/fb4cd6805a1d4d568a7fc09d907de274.png?resizew=132)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2013·江西南昌·二模
4 . 如图正四棱锥
的底面边长为
,高
,点
在高
上,且
,记过点
的球的半径为
,则函数
的大致图像是( )![](https://img.xkw.com/dksih/QBM/2013/5/7/1571205295046656/1571205300576256/STEM/cd3778eab51b43ba807904384125a3cb.png?resizew=120)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6420a99e3cbb9b591f8387f87c8dcff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c157ff302a881c17514534903c575f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a798ed78ab21442b414f8b1b5510ccef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fcd39af23c7f431de48947f3f34f5ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9966dfe9109671c587892bd32f0b6699.png)
![](https://img.xkw.com/dksih/QBM/2013/5/7/1571205295046656/1571205300576256/STEM/cd3778eab51b43ba807904384125a3cb.png?resizew=120)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 圭表(如图
)是我国古代一种通过测量正午日影长度来推定节气的天文仪器,它包括一根直立的标竿(称为“表”)和一把呈南北方向水平固定摆放的与标竿垂直的长尺(称为“圭”).当正午太阳照射在表上时,日影便会投影在圭面上,圭面上日影长度最长的那一天定为冬至,日影长度最短的那一天定为夏至.图
是一个根据南京市的地理位置设计的圭表的示意图,已知南京市冬至正午太阳高度角(即
)约为
,夏至正午太阳高度角(即
)约为
,圭面上冬至线与夏至线之间的距离(即
的长)为
,则表高(即
的长)为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/58d0aa61-3457-400a-bc1b-9ecbd3d98837.png?resizew=563)
![](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/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a2b4188f306276cc18294bc760df9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae634b6112ef57b0c15bbb3840bbdb23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/58d0aa61-3457-400a-bc1b-9ecbd3d98837.png?resizew=563)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-08-21更新
|
1124次组卷
|
6卷引用:江西省新余市第一中学2022届高三高考押题卷数学(理)试题
江西省新余市第一中学2022届高三高考押题卷数学(理)试题江苏省南京市第二十九中学2021-2022学年高三上学期开学摸底数学试题(已下线)专题20 利用正(余)弦定理破解解三角形问题-备战2022年高考数学一轮复习一网打尽之重点难点突破(已下线)专题08 解三角形-备战2022年高考数学(理)母题题源解密(全国甲卷)(已下线)专题08 解三角形(选择题、填空题、解答题)-备战2022年高考数学(文)母题题源解密(全国甲卷)(已下线)专题19 解三角形-学会解题之高三数学万能解题模板【2022版】
6 . 近年来,随着我国汽车消费水平的提高,二手车流通行业得到迅猛发展.某汽车交易市场对2017年成交的二手车交易前的使用时间(以下简称“使用时间”)进行统计,得到频率分布直方图如图1.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/13623c64-470f-45ac-9ca6-14cdf7b1db20.png?resizew=536)
附注:①对于一组数据
,
,…,
,其回归直线
的斜率和截距的最小二乘估计分别为
,
;
②参考数据:
,
,
,
,
.
(Ⅰ)记“在2017年成交的二手车中随机选取一辆,该车的使用年限在
”为事件
,试估计
的概率;
(Ⅱ)根据该汽车交易市场的历史资料,得到散点图如图2,其中
(单位:年)表示二手车的使用时间,
(单位:万元)表示相应的二手车的平均交易价格.由散点图看出,可采用
作为二手车平均交易价格
关于其使用年限
的回归方程,相关数据如下表(表中
,
):
①根据回归方程类型及表中数据,建立
关于
的回归方程;
②该汽车交易市场对使用8年以内(含8年)的二手车收取成交价格
的佣金,对使用时间8年以上(不含8年)的二手车收取成交价格
的佣金.在图1对使用时间的分组中,以各组的区间中点值代表该组的各个值.若以2017年的数据作为决策依据,计算该汽车交易市场对成交的每辆车收取的平均佣金.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/13623c64-470f-45ac-9ca6-14cdf7b1db20.png?resizew=536)
附注:①对于一组数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1c6aadc0129bf86f4fff9dcfb924b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154100371e025fffe0ffae8be9567383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a14e40329de36fc4a1a3f8fbfafda12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b217e43590a55a9e845a98b65b6ea698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eaf14ff39b5e3d38ca14ddee5a0c21c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a04c0258b10c40100f7436e5e5a0d62.png)
②参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb6419de115c41a268acf50d071e077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3fcfa18786446c645d1caf478ba1138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4addbd6d3545f73ec29faf563ac292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6703b823c228587469d204b2d055262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b991711f6b845541210aed8f4c645a6.png)
(Ⅰ)记“在2017年成交的二手车中随机选取一辆,该车的使用年限在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e108d24b0d3cb0bd5e2c9827445eec9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(Ⅱ)根据该汽车交易市场的历史资料,得到散点图如图2,其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5ae7c9c52aeb42a3647267e5f88df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4dfbde71347621b52037755c9fe9480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1c174744090ebde8bde8e205c6ae7.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
5.5 | 8.7 | 1.9 | 301.4 | 79.75 | 385 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②该汽车交易市场对使用8年以内(含8年)的二手车收取成交价格
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356dd6809a78dacc01ab21226c4afc49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de0640bc12a9b2ffd7247fa20f1dafd.png)
您最近一年使用:0次
解题方法
7 . 如图,图中小正方形的边长为1,粗线是一个几何体的三视图,则该几何体的体积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/5/d36c79d4-b54c-4250-8fd1-3e88f57ea2b5.png?resizew=208)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-09-23更新
|
366次组卷
|
4卷引用:江西省南昌市2021届高三摸底测试数学(文)试题
江西省南昌市2021届高三摸底测试数学(文)试题江西省南昌市2021届高三摸底测试数学(理)试题(已下线)专题22第一篇 热点、难点突破(测试卷一)(测)(理科)第一篇 热点、难点突破篇-《2022年高考理科数学二轮复习讲练测》(全国课标版)(已下线)专题02+空间几何体的三视图和直观图(重点练)-2020-2021学年高一数学十分钟同步课堂练(人教版必修2)
解题方法
8 . 已知一个四棱柱的三视图如图(图中小正方形的边长为1),则该四棱柱的全面积等于______ .
![](https://img.xkw.com/dksih/QBM/2020/5/12/2461204232486912/2461326661779456/STEM/ef01175d5bd94b6a8bc7a6823f997424.png?resizew=200)
您最近一年使用:0次
2020-05-12更新
|
206次组卷
|
3卷引用:2020届江西省吉安、抚州、赣州市高三一模数学(理)试题
真题
名校
9 . 如图,四位同学在同一个坐标系中分别选定了一个适当的区间,各自作出三个函数
,
,
的图像如下.结果发现其中有一位同学作出的图像有错误,那么有错误 的图像是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325f9e2f7784ebdd64292e805884dfa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae8df35909341c351f076081c3623d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a809dd3769df6f74749cb54c87ed99e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2010-06-18更新
|
463次组卷
|
6卷引用:2010年普通高等学校招生全国统一考试(江西卷)数学(文科)
10 . 一个三棱锥的三视图如图(图中小正方形的边长为1),若这个三角棱锥的顶点都在同一个球的球面上,则这个球的表面积是
![](https://img.xkw.com/dksih/QBM/2017/4/12/1664255891464192/1664853518548992/STEM/224e63aa0fab49ec8b3ee6c8917d4086.png?resizew=111)
![](https://img.xkw.com/dksih/QBM/2017/4/12/1664255891464192/1664853518548992/STEM/224e63aa0fab49ec8b3ee6c8917d4086.png?resizew=111)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次