适用年级:{{getGradeNameByProperty('高三|高考模拟|辽宁|2017年')}} 试卷类型:{{getTestPaperTypeName('高三|高考模拟|辽宁|2017年')}} 使用省份:{{getAreaName('高三|高考模拟|辽宁|2017年')}}
试卷年份:{{getYear('高三|高考模拟|辽宁|2017年')}}上传日期:2017-06-21题数:23
提示:单击题文可显示答案与解析。
题号:708054
题型:选择题
难易度:容易
日期:2016-10-13
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】设集合
![](http://static.zujuan.xkw.com/Upload/2017-04/03/163e1c3a-e88c-4da7-bc9f-3198fee12194/paper.files/image001.png)
,则
![](http://static.zujuan.xkw.com/Upload/2017-04/03/163e1c3a-e88c-4da7-bc9f-3198fee12194/paper.files/image002.png)
( )
题号:809503
题型:选择题
难易度:一般
日期:2015-11-09
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】某几何体的三视图如图所示,图中的四边形都是边长为2的正方形,两条虚线互相垂直,则该几何体的体积是( )
![](http://static.zujuan.xkw.com/Upload/2017-06/16/0d6c85a3-f54e-425f-a4a1-1545cb4f56c2/paper.files/image001.png)
题号:820123
题型:选择题
难易度:较易
日期:2015-08-24
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
题号:1036696
题型:选择题
难易度:较易
日期:2012-12-25
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】设A为圆周上一点,在圆周上等可能地任取一点与A连接,则弦长超过半径
![](http://static.zujuan.xkw.com/Upload/2012-12/25/2a890a96-58dd-4cd1-a279-0e17c6ee3ac7/paper.files/image001.png)
倍的概率是( )
题号:3798954
题型:选择题
难易度:较易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】已知三棱锥
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image112.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image113.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image114.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image115.png)
两两垂直且长度均为6,长为2的线段
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image116.png)
的一个端点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image117.png)
在棱
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image113.png)
上运动,另一个端点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image118.png)
在底面
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image119.png)
内运动(含边界),则
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image116.png)
的中点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image120.png)
的轨迹与三棱锥的
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image121.png)
点所在的三个面所围成的几何体的表面积为( )
题号:3798955
题型:选择题
难易度:一般
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】若方程
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image101.png)
有两个不等的实根
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image102.png)
和
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image103.png)
,则
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image104.png)
的取值范围是( )
题号:3798956
题型:选择题
难易度:较易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】若函数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image088.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image089.png)
)满足
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image090.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image091.png)
,且
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image092.png)
的最小值为
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image093.png)
,则正数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image094.png)
的值为( )
题号:3798958
题型:选择题
难易度:较易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image042.png)
:
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image043.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image044.png)
)是圆
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image026.png)
:
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image045.png)
的一条对称轴,过点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image046.png)
作斜率为1的直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image047.png)
,则直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image047.png)
被圆
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image026.png)
所截得的弦长为( )
题号:3798959
题型:选择题
难易度:较易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image023.png)
的内角
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image024.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image025.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image026.png)
所对的边分别为
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image015.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image027.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image028.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image029.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image030.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image031.png)
,则
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image032.png)
( )
题号:3798960
题型:选择题
难易度:容易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】已知复数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image012.png)
(其中
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image013.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image014.png)
是虚数单位)是纯虚数,则
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image015.png)
的值为( )
题号:4863041
题型:选择题
难易度:较易
日期:2017-08-29
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image062.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image063.png)
是双曲线
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image064.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image065.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image066.png)
)的左、右焦点,点
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image062.png)
关于渐近线的对称点恰好落在以
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image063.png)
为圆心,
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image067.png)
为半径的圆上,则该双曲线的离心率为( )
题号:4863042
题型:选择题
难易度:较易
日期:2017-08-29
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】阅读如图的程序框图,如果输出
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image056.png)
,那么空白的判断框中应填入的条件是( )
![](http://static.zujuan.xkw.com/Upload/2017-08/29/4901ef3d-d98f-4fa8-abcb-f2670aa409b2/paper.files/image057.png)
题号:3389187
题型:填空题
难易度:较易
日期:2017-02-26
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】在边长为1的正方形
![](http://static.zujuan.xkw.com/Upload/2017-06/17/e8a3ed4c-a51f-4608-8fb0-61ddf38f2e7f/paper.files/image001.png)
中,
![](http://static.zujuan.xkw.com/Upload/2017-06/17/e8a3ed4c-a51f-4608-8fb0-61ddf38f2e7f/paper.files/image002.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/17/e8a3ed4c-a51f-4608-8fb0-61ddf38f2e7f/paper.files/image003.png)
的中点为
![](http://static.zujuan.xkw.com/Upload/2017-06/17/e8a3ed4c-a51f-4608-8fb0-61ddf38f2e7f/paper.files/image004.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/17/e8a3ed4c-a51f-4608-8fb0-61ddf38f2e7f/paper.files/image005.png)
,则
![](http://static.zujuan.xkw.com/Upload/2017-06/17/e8a3ed4c-a51f-4608-8fb0-61ddf38f2e7f/paper.files/image006.png)
__________.
题号:3798950
题型:填空题
难易度:较易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】设实数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image174.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image175.png)
满足约束条件
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image176.png)
则
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image177.png)
的最小值为__________.
题号:3798951
题型:填空题
难易度:较易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】在
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image023.png)
中,已知
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image168.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image169.png)
,则
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image170.png)
的值是__________.
题号:3798952
题型:填空题
难易度:容易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】已知数列
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image142.png)
,若点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image143.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image144.png)
)在经过点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image145.png)
的定直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image146.png)
上,则数列
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image142.png)
的前
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image147.png)
项和
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image148.png)
__________.
题号:3405703
题型:解答题
难易度:一般
日期:2017-03-06
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】某市为了鼓励市民节约用电,实行“阶梯式”电价,将该市每户居民的月用电量划分为三档,月用电量不超过200度的部分按0.5元/度收费,超过200度但不超过400度的部分按0.8元/度收费,超过400度的部分按1.0元/度收费.
(1)求某户居民用电费用
![](http://static.zujuan.xkw.com/Upload/2017-06/17/bba3054c-1bbb-4cbb-820c-99b65bb46852/paper.files/image001.png)
(单位:元)关于月用电量
![](http://static.zujuan.xkw.com/Upload/2017-06/17/bba3054c-1bbb-4cbb-820c-99b65bb46852/paper.files/image002.png)
(单位:度)的函数解析式;
(2)为了了解居民的用电情况,通过抽样,获得了今年1月份100户居民每户的用电量,统计分析后得到如图所示的频率分布直方图,若这100户居民中,今年1月份用电费用不超过260元的点80%,求
![](http://static.zujuan.xkw.com/Upload/2017-06/17/bba3054c-1bbb-4cbb-820c-99b65bb46852/paper.files/image003.png)
的值;
![](http://static.zujuan.xkw.com/Upload/2017-06/17/bba3054c-1bbb-4cbb-820c-99b65bb46852/paper.files/image004.png)
(3)在满足(2)的条件下,估计1月份该市居民用户平均用电费用(同一组中的数据用该组区间的中点值作代表).
题号:3798944
题型:解答题
难易度:较易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】选修4-5:不等式选讲
已知函数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image384.png)
.
(Ⅰ)若对
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image385.png)
不等式
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image386.png)
恒成立,求实数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image015.png)
的取值范围;
(Ⅱ)当
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image029.png)
时,若
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image387.png)
对一切实数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image174.png)
恒成立,求实数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image042.png)
的取值范围.
题号:3798945
题型:解答题
难易度:较易
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】选修4-4:坐标系与参数方程
已知曲线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image026.png)
的极坐标方程是
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image363.png)
以极点为平面直角坐标系的原点,极轴为
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image174.png)
轴的正半轴,建立平面直角坐标系,直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image042.png)
的参数方程是
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image364.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image220.png)
为参数).
(Ⅰ)将曲线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image026.png)
的极坐标方程化为直角坐标方程;
(Ⅱ)若直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image042.png)
与曲线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image026.png)
相交于
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image024.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image025.png)
两点,且
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image365.png)
,求直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image042.png)
的倾斜角
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image366.png)
的值.
题号:3798946
题型:解答题
难易度:一般
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image313.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image015.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image314.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image315.png)
),
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image290.png)
是自然对数的底数.
(Ⅰ)当
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image316.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image317.png)
时,求函数
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image074.png)
的零点个数;
(Ⅱ)若
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image301.png)
,求
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image074.png)
在
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image318.png)
上的最大值.
题号:3798947
题型:解答题
难易度:一般
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】已知椭圆
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image026.png)
:
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image286.png)
(
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image287.png)
)的左焦点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image154.png)
与抛物线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image288.png)
的焦点重合,直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image289.png)
与以原点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image121.png)
为圆心,以椭圆的离心率
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image290.png)
为半径的圆相切.
(Ⅰ)求该椭圆
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image026.png)
的方程;
(Ⅱ)设点
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image120.png)
坐标为
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image291.png)
,若
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image292.png)
,求直线
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image293.png)
的方程.
题号:3798948
题型:解答题
难易度:一般
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】如图,在四棱锥
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image205.png)
中,底面
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image151.png)
为直角梯形,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image206.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image207.png)
,平面
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image208.png)
底面
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image151.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image209.png)
为
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image210.png)
的中点,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image117.png)
是棱
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image211.png)
上的点,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image212.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image213.png)
.
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image214.png)
(Ⅰ)求证:平面
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image215.png)
平面
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image216.png)
;
(Ⅱ)若三棱锥
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image217.png)
的体积是四棱锥
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image205.png)
体积的
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image218.png)
,设
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image219.png)
,试确定
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image220.png)
的值.
题号:3798949
题型:解答题
难易度:一般
日期:2017-06-21
来源:【全国市级联考】辽宁省锦州市2017届高三质量检测(二)数学(文)试题
【题文】已知等比数列
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image142.png)
的前
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image047.png)
项和为
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image184.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image185.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image186.png)
.
(Ⅰ)求
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image142.png)
的通项公式;
(Ⅱ)设
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image187.png)
,求数列
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image188.png)
的前
![](http://static.zujuan.xkw.com/Upload/2017-06/21/a5697875-8c94-478f-9056-a7dcfbed46fa/paper.files/image047.png)
项和.