适用年级:{{getGradeNameByProperty('高三|高考模拟|河北|2016年')}} 试卷类型:{{getTestPaperTypeName('高三|高考模拟|河北|2016年')}} 使用省份:{{getAreaName('高三|高考模拟|河北|2016年')}}
试卷年份:{{getYear('高三|高考模拟|河北|2016年')}}上传日期:2016-05-09题数:24
提示:单击题文可显示答案与解析。
题号:750448
题型:选择题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
题号:750449
题型:选择题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
题号:750450
题型:选择题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】三棱锥
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image083.png)
中,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image084.png)
平面
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image085.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image086.png)
,则该三棱锥外接球的表面积为( )
题号:750451
题型:选择题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】已知一个几何体的三视图的如图所示,则该几何体的体积为( )
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image077.png)
题号:750452
题型:选择题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】已知点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image065.png)
在椭圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image066.png)
,点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image067.png)
满足
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image068.png)
(其中
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image069.png)
为坐标原点,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image070.png)
为椭圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image071.png)
的左焦点),则点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image067.png)
的轨迹为( )
题号:750453
题型:选择题
难易度:较易
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】某书法社团有男生30名,女生20名,从中抽取一个5人的样本,恰好抽到了2名男生和3名女生①该抽样一定不是系统抽样;②该抽样可能是随机抽样;③该抽样不可能是分层抽样;④男生被抽到的概率大于女生被抽到的概率,其中说法正确的为( )
题号:750454
题型:选择题
难易度:较易
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
题号:750455
题型:选择题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】将函数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image037.png)
的图像向左平移
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image022.png)
个单位(
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image038.png)
),若所得图像对应的函数为偶函数,则
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image022.png)
的最小值是( )
题号:750456
题型:选择题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】如图所示的是计算
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image030.png)
的值的一个框图,其中菱形判断框内填入的条件是( )
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image031.png)
题号:750457
题型:选择题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】已知平面直角坐标系内的两个向量,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image018.png)
,且平面内的任一向量
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image019.png)
都可以唯一的表示成
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image020.png)
(
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image021.png)
为实数),则
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image022.png)
的取值范围是( )
题号:750458
题型:选择题
难易度:较易
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】如图,在复平面内,复数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image010.png)
对应的向量分别是
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image011.png)
,则
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image012.png)
( )
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image013.png)
A.2 | B.3 | C.![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image014.png) | D.![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image015.png) |
题号:750459
题型:选择题
难易度:较易
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
题号:750444
题型:填空题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image176.png)
的最大值为3,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image177.png)
的图像与
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image178.png)
轴的交点坐标为
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image179.png)
,其相邻两条对称轴间的距离为2,则
.
题号:750445
题型:填空题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】若点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image067.png)
是以
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image162.png)
为焦点的双曲线
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image163.png)
上一点,满足
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image164.png)
,则
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image165.png)
,则次双曲线的离心率为
.
题号:750446
题型:填空题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
题号:750447
题型:填空题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image143.png)
,若
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image144.png)
是
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image145.png)
的充分不必要条件,则实数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image003.png)
的取值范围是
.
题号:750436
题型:解答题
难易度:较难
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image383.png)
.
(1)解关于
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image265.png)
的不等式
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image384.png)
;
(2)若函数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image177.png)
的图像恒在函数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image303.png)
图像的上方,求实数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image022.png)
的取值范围.
题号:750437
题型:解答题
难易度:较难
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】在极坐标系中,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image069.png)
为极点,点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image366.png)
.
(1)求经过点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image367.png)
的圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image071.png)
的极坐标方程;
(2)以极点为坐标原点,极轴为
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image265.png)
的正半轴建立平面直角坐标系,圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image368.png)
的参数方程为
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image369.png)
(
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image370.png)
是参数,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image003.png)
为半径),若圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image071.png)
与圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image368.png)
相切,求半径
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image003.png)
的值.
题号:750438
题型:解答题
难易度:较易
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】如图,已知圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image069.png)
是
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image339.png)
的外接圆,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image340.png)
是
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image341.png)
边上的高,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image342.png)
是圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image069.png)
的直径.
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image343.jpg)
(1)求证:
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image344.png)
;
(2)过点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image071.png)
作圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image069.png)
的切线交
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image345.png)
的延长线于点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image346.png)
,若
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image347.png)
,求
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image348.png)
的长.
题号:750439
题型:解答题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image290.png)
的图像在点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image291.png)
(
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image292.png)
为自然对数的底数)处的切线的斜率为3.
(1)求实数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image003.png)
的值;
(2)若
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image293.png)
对任意
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image294.png)
成立,求实数
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image295.png)
的取值范围;
(3)当
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image296.png)
时,证明:
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image297.png)
.
题号:750440
题型:解答题
难易度:一般
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】设抛物线
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image264.png)
的准线与
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image265.png)
轴交于点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image070.png)
,焦点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image266.png)
;椭圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image267.png)
以
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image070.png)
和
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image266.png)
为焦点,离心率
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image268.png)
.设
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image067.png)
是
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image269.png)
与
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image267.png)
的一个交点.
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image270.png)
(1)椭圆
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image267.png)
的方程;
(2)直线
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image271.png)
过
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image267.png)
的右焦点
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image266.png)
,交
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image269.png)
于
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image272.png)
两点,且
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image273.png)
等于
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image274.png)
的周长,求
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image271.png)
的方程.
题号:750441
题型:解答题
难易度:较难
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】如图,在斜三棱柱
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image238.png)
,侧面
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image239.png)
与侧面
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image240.png)
都是菱形,
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image241.png)
.
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image242.png)
(1)求证:
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image243.png)
;
(2)若
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image244.png)
,求四棱锥
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image245.png)
的体积.
题号:750442
题型:解答题
难易度:较难
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】去年年底,某商业集团公司根据相关评分细则,对其所属25家商业连锁店进行了考核评估.将各连锁店的评估分数按
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image221.png)
分成四组,其频率分布直方图如下图所示,集团公司依据评估得分,将这些连锁店划分为
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image222.png)
四个等级,等级评定标准如下表所示.
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image223.png)
(1)估计该商业集团各连锁店评估得分的众数和平均数;
(2)从评估分数不小于80分的连锁店中任选2家介绍营销经验,求至少选一家
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image193.png)
等级的概率.
题号:750443
题型:解答题
难易度:较难
日期:2016-05-09
来源:【百强校】2016届河北省衡水中学高三下学期一模考试文科数学试卷(带解析)
【题文】设数列
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image049.png)
的前
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image196.png)
项和为
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image197.png)
,且首项
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image198.png)
.
(1)求证:
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image199.png)
是等比数列;
(2)若
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image049.png)
为递增数列,求
![](http://static.zujuan.xkw.com/Upload/2016-05/09/54e6d126-7c44-4175-91a8-247ab82b1a8a/paper.files/image200.png)
的取值范围.