适用年级:{{getGradeNameByProperty('高三|高考模拟|广东|2016年')}} 试卷类型:{{getTestPaperTypeName('高三|高考模拟|广东|2016年')}} 使用省份:{{getAreaName('高三|高考模拟|广东|2016年')}}
试卷年份:{{getYear('高三|高考模拟|广东|2016年')}}上传日期:2016-11-11题数:23
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题号:698605
题型:选择题
难易度:较难
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】已知定义在
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image128.png)
上的函数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image129.png)
满足:函数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image130.png)
的图象关于直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image058.png)
对称,且当
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image131.png)
成立(
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image132.png)
是函数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image097.png)
的导函数), 若
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image133.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image134.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image135.png)
, 则
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image136.png)
的大小关系是( )
题号:698606
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
题号:698607
题型:选择题
难易度:一般
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】若
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image111.png)
的展开式中含有常数项,则
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image080.png)
的最小值等于( )
题号:698608
题型:选择题
难易度:一般
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2017-05/22/a2093eb5-5a0a-43d7-81b9-6d1998f0ead1/paper.files/image001.png)
的最小正周期是
![](http://static.zujuan.xkw.com/Upload/2017-05/22/a2093eb5-5a0a-43d7-81b9-6d1998f0ead1/paper.files/image002.png)
,将
![](http://static.zujuan.xkw.com/Upload/2017-05/22/a2093eb5-5a0a-43d7-81b9-6d1998f0ead1/paper.files/image003.png)
图象向左平移
![](http://static.zujuan.xkw.com/Upload/2017-05/22/a2093eb5-5a0a-43d7-81b9-6d1998f0ead1/paper.files/image004.png)
个单位长度后所得的函数图象过点
![](http://static.zujuan.xkw.com/Upload/2017-05/22/a2093eb5-5a0a-43d7-81b9-6d1998f0ead1/paper.files/image005.png)
,则
![](http://static.zujuan.xkw.com/Upload/2017-05/22/a2093eb5-5a0a-43d7-81b9-6d1998f0ead1/paper.files/image006.png)
( )
A.在区间 上单调递减 | B.在区间 上单调递增 |
C.在区间 上单调递减 | D.在区间 上单调递增 |
题号:698609
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】如图给出了计算
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image088.png)
的值的程序框图,其中①②分别是( )
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image089.jpg)
题号:698610
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
题号:698611
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】已知双曲线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image064.png)
的一个焦点到一条渐近线的距离为
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image065.png)
(
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image066.png)
为双曲线的半焦距),则双曲线的离心率为( )
题号:698612
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
题号:698613
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
题号:698614
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】如图,在正方形
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image021.png)
中,点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image022.png)
是
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image023.png)
的中点,点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image024.png)
是
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image025.png)
的一个三等分点,那么
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image026.png)
=( )
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image027.jpg)
题号:698615
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
题号:698616
题型:选择题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】若复数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image001.png)
满足
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image002.png)
,其中
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image003.png)
为虚数单位,则在复平面上复数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image001.png)
对应的点的坐标为( )
题号:698581
题型:填空题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】在正四棱锥
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image190.png)
中,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image191.png)
,直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image192.png)
与平面
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image021.png)
所成角为
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image193.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image022.png)
为
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image194.png)
的中点,则异面直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image192.png)
与
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image195.png)
所成角的大小为___________.
题号:698582
题型:填空题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
题号:698583
题型:填空题
难易度:一般
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】已知直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image170.png)
与曲线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image171.png)
相切,则
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image172.png)
的值为___________.
题号:698604
题型:填空题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】若直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image161.png)
(
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image162.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image163.png)
)经过圆
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image164.png)
的圆心,则
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image165.png)
的最小值为___________.
题号:698575
题型:解答题
难易度:一般
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】选修4-4:坐标系与参数方程
已知过点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image445.png)
的直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image446.png)
的参数方程是
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image447.png)
(
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image448.png)
为参数).以平面直角坐标系的原点为极点,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image178.png)
轴的正半轴为极轴,建立极坐标系,曲线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image449.png)
的极坐标方程式为
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image450.png)
.
(Ⅰ)求直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image446.png)
的普通方程和曲线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image449.png)
的直角坐标方程;
(Ⅱ)若直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image446.png)
与曲线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image449.png)
交于两点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image451.png)
,且
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image452.png)
,求实数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image358.png)
的值.
题号:698576
题型:解答题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image393.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image394.png)
.
(Ⅰ)函数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image395.png)
的图象与
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image396.png)
的图象无公共点,求实数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image172.png)
的取值范围;
(Ⅱ)是否存在实数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image358.png)
,使得对任意的
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image397.png)
,都有函数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image398.png)
的图象在
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image399.png)
的图象的下方?若存在,请求出整数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image358.png)
的最大值;若不存在,请说理由.
(参考数据:
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image400.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image401.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image402.png)
).
题号:698577
题型:解答题
难易度:困难
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】已知点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image347.png)
,点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image348.png)
是圆
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image349.png)
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image350.png)
上的任意一点,线段
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image351.png)
的垂直平分线与直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image352.png)
交于点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image353.png)
.
(Ⅰ)求点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image353.png)
的轨迹方程;
(Ⅱ)若直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image354.png)
与点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image353.png)
的轨迹有两个不同的交点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image348.png)
和
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image355.png)
,且原点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image356.png)
总在以
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image357.png)
为直径的圆的内部,求实数
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image358.png)
的取值范围.
题号:698578
题型:解答题
难易度:一般
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】如图,四边形
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image263.png)
是矩形,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image264.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image265.png)
是
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image266.png)
的中点,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image267.png)
与
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image268.png)
交于点
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image269.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image270.png)
平面
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image263.png)
.
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image271.png)
(Ⅰ)求证:
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image272.png)
面
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image273.png)
;
(Ⅱ)若
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image274.png)
,求直线
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image275.png)
与平面
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image276.png)
所成角的正弦值.
题号:698579
题型:解答题
难易度:较易
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】一个盒子中装有大量形状大小一样但重量不尽相同的小球,从中随机抽取
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image227.png)
个作为样本,称出它们的重量(单位:克),重量分组区间为
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image228.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image229.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image230.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image231.png)
,由此得到样本的重量频率分布直方图(如图).
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image232.png)
(Ⅰ)求
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image172.png)
的值,并根据样本数据,试估计盒子中小球重量的众数与平均值;
(Ⅱ)从盒子中随机抽取
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image112.png)
个小球,其中重量在
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image233.png)
内的小球个数为
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image234.png)
,求
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image234.png)
的分布列和数学期望. (以直方图中的频率作为概率).
题号:698580
题型:解答题
难易度:较难
日期:2016-11-09
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】在
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image206.png)
中,角
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image207.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image208.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image209.png)
所对的边分别为
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image172.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image073.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image066.png)
,已知
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image210.png)
.
(Ⅰ)求角
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image207.png)
的大小;
(Ⅱ)如果
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image211.png)
,
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image212.png)
,求
![](http://static.zujuan.xkw.com/Upload/2016-11/09/55e59808-6c64-4037-bc0e-bf30cec8476d/paper.files/image206.png)
的面积.
题号:4839874
题型:解答题
难易度:较易
日期:2017-08-20
来源:【百强校】2017届广东惠州市高三上二模考试数学(理)试卷(带解析)
【题文】设函数
![](http://static.zujuan.xkw.com/Upload/2017-08/20/dc9ba421-510d-43c5-b7b2-845294a26476/paper.files/image240.png)
.
(1)求不等式
![](http://static.zujuan.xkw.com/Upload/2017-08/20/dc9ba421-510d-43c5-b7b2-845294a26476/paper.files/image241.png)
的解集;
(2)若存在
![](http://static.zujuan.xkw.com/Upload/2017-08/20/dc9ba421-510d-43c5-b7b2-845294a26476/paper.files/image242.png)
使不等式
![](http://static.zujuan.xkw.com/Upload/2017-08/20/dc9ba421-510d-43c5-b7b2-845294a26476/paper.files/image243.png)
成立,求实数
![](http://static.zujuan.xkw.com/Upload/2017-08/20/dc9ba421-510d-43c5-b7b2-845294a26476/paper.files/image147.png)
的取值范围.