适用年级:{{getGradeNameByProperty('高三|高考模拟|河北|2011年')}} 试卷类型:{{getTestPaperTypeName('高三|高考模拟|河北|2011年')}} 使用省份:{{getAreaName('高三|高考模拟|河北|2011年')}}
试卷年份:{{getYear('高三|高考模拟|河北|2011年')}}上传日期:2011-06-03题数:22
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题号:1144371
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】双曲线
![](http://static.zujuan.xkw.com/Upload/2013-04/19/50624f92-41be-49fc-ad86-93a5ac9849e0/paper.files/image001.png)
的左焦点为
![](http://static.zujuan.xkw.com/Upload/2013-04/19/50624f92-41be-49fc-ad86-93a5ac9849e0/paper.files/image002.png)
,顶点为
![](http://static.zujuan.xkw.com/Upload/2013-04/19/50624f92-41be-49fc-ad86-93a5ac9849e0/paper.files/image003.png)
、
![](http://static.zujuan.xkw.com/Upload/2013-04/19/50624f92-41be-49fc-ad86-93a5ac9849e0/paper.files/image004.png)
,
![](http://static.zujuan.xkw.com/Upload/2013-04/19/50624f92-41be-49fc-ad86-93a5ac9849e0/paper.files/image005.png)
是该双曲线右支上任意一点,则分别以线段
![](http://static.zujuan.xkw.com/Upload/2013-04/19/50624f92-41be-49fc-ad86-93a5ac9849e0/paper.files/image006.png)
、
![](http://static.zujuan.xkw.com/Upload/2013-04/19/50624f92-41be-49fc-ad86-93a5ac9849e0/paper.files/image007.png)
为直径的两圆的位置关系是
题号:1144372
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】已知曲线
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image001.png)
与直线
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image002.png)
相交,
若在
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image003.png)
轴右侧的交点自左向右依次记为
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image004.png)
…,则|
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image005.png)
|等于
A.
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image006.png)
B.
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image007.png)
B.
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image008.png)
D.
![](http://static.zujuan.xkw.com/Upload/2013-04/19/2c52c2d0-b9aa-481c-aa6b-43a8f0384027/paper.files/image009.png)
题号:1144373
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】在矩形
![](http://static.zujuan.xkw.com/Upload/2013-04/19/6f3e4632-7b62-4dc0-a7d9-d391d33615a5/paper.files/image001.png)
中,
![](http://static.zujuan.xkw.com/Upload/2013-04/19/6f3e4632-7b62-4dc0-a7d9-d391d33615a5/paper.files/image003.png)
是
![](http://static.zujuan.xkw.com/Upload/2013-04/19/6f3e4632-7b62-4dc0-a7d9-d391d33615a5/paper.files/image004.png)
的中点,沿
![](http://static.zujuan.xkw.com/Upload/2013-04/19/6f3e4632-7b62-4dc0-a7d9-d391d33615a5/paper.files/image005.png)
将
![](http://static.zujuan.xkw.com/Upload/2013-04/19/6f3e4632-7b62-4dc0-a7d9-d391d33615a5/paper.files/image006.png)
折起,使二面角
![](http://static.zujuan.xkw.com/Upload/2013-04/19/6f3e4632-7b62-4dc0-a7d9-d391d33615a5/paper.files/image007.png)
为60°,则四棱锥
![](http://static.zujuan.xkw.com/Upload/2013-04/19/6f3e4632-7b62-4dc0-a7d9-d391d33615a5/paper.files/image008.png)
的体积是
题号:1144374
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2013-04/19/52a21370-7b78-46ae-8af9-de922ba11e30/paper.files/image001.png)
是定义在
![](http://static.zujuan.xkw.com/Upload/2013-04/19/52a21370-7b78-46ae-8af9-de922ba11e30/paper.files/image002.png)
上的函数,且满足
![](http://static.zujuan.xkw.com/Upload/2013-04/19/52a21370-7b78-46ae-8af9-de922ba11e30/paper.files/image003.png)
当
![](http://static.zujuan.xkw.com/Upload/2013-04/19/52a21370-7b78-46ae-8af9-de922ba11e30/paper.files/image004.png)
时,
![](http://static.zujuan.xkw.com/Upload/2013-04/19/52a21370-7b78-46ae-8af9-de922ba11e30/paper.files/image005.png)
,则
![](http://static.zujuan.xkw.com/Upload/2013-04/19/52a21370-7b78-46ae-8af9-de922ba11e30/paper.files/image006.png)
等于
A.![](http://static.zujuan.xkw.com/Upload/2013-04/19/52a21370-7b78-46ae-8af9-de922ba11e30/paper.files/image007.png) | B.2 | C.![](http://static.zujuan.xkw.com/Upload/2013-04/19/52a21370-7b78-46ae-8af9-de922ba11e30/paper.files/image008.png) | D.98 |
题号:1144375
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】若
![](http://static.zujuan.xkw.com/Upload/2013-04/19/b60f30d5-7697-48d9-ba7e-eababa65c78f/paper.files/image001.png)
且
![](http://static.zujuan.xkw.com/Upload/2013-04/19/b60f30d5-7697-48d9-ba7e-eababa65c78f/paper.files/image002.png)
,则下列不等式恒成立的是
题号:1144396
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】函数
![](http://static.zujuan.xkw.com/Upload/2013-04/19/782efbcb-d4e9-41c3-bded-5d3e60cacacf/paper.files/image001.png)
的图象上所有的点向左平行移动
![](http://static.zujuan.xkw.com/Upload/2013-04/19/782efbcb-d4e9-41c3-bded-5d3e60cacacf/paper.files/image002.png)
个单位,再把图象上各点的横坐标扩大到原来的2倍(纵坐标不变)则所得到的图象的解析式为
A.
![](http://static.zujuan.xkw.com/Upload/2013-04/19/782efbcb-d4e9-41c3-bded-5d3e60cacacf/paper.files/image003.png)
B.
![](http://static.zujuan.xkw.com/Upload/2013-04/19/782efbcb-d4e9-41c3-bded-5d3e60cacacf/paper.files/image004.png)
C.
![](http://static.zujuan.xkw.com/Upload/2013-04/19/782efbcb-d4e9-41c3-bded-5d3e60cacacf/paper.files/image005.png)
D.
题号:1144397
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】
![](http://static.zujuan.xkw.com/Upload/2013-04/14/b0683888-f3a8-4ddc-bbd3-a79d2507bd4a/paper.files/image001.png)
![](http://static.zujuan.xkw.com/Upload/2013-04/14/b0683888-f3a8-4ddc-bbd3-a79d2507bd4a/paper.files/image002.png)
为非零向量,“函数
![](http://static.zujuan.xkw.com/Upload/2013-04/14/b0683888-f3a8-4ddc-bbd3-a79d2507bd4a/paper.files/image003.png)
为偶函数”是“
![](http://static.zujuan.xkw.com/Upload/2013-04/14/b0683888-f3a8-4ddc-bbd3-a79d2507bd4a/paper.files/image004.png)
”的
A.充分但不必要条件 | B.必要但不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
题号:1144398
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】已知命题
![](http://static.zujuan.xkw.com/Upload/2013-04/14/74079788-6e7d-4865-8d76-d88175ac1d12/paper.files/image001.png)
:
![](http://static.zujuan.xkw.com/Upload/2013-04/14/74079788-6e7d-4865-8d76-d88175ac1d12/paper.files/image002.png)
,
![](http://static.zujuan.xkw.com/Upload/2013-04/14/74079788-6e7d-4865-8d76-d88175ac1d12/paper.files/image003.png)
;命题
![](http://static.zujuan.xkw.com/Upload/2013-04/14/74079788-6e7d-4865-8d76-d88175ac1d12/paper.files/image004.png)
:
![](http://static.zujuan.xkw.com/Upload/2013-04/14/74079788-6e7d-4865-8d76-d88175ac1d12/paper.files/image005.png)
.
则下列论正确的是
A.命题 是真命题 | B.命题 是真命题 |
C.命题 是真命题 | D.命题 是假命题 |
题号:1144399
题型:选择题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
题号:3494033
题型:选择题
难易度:一般
日期:2012-07-12
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】数列
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image027.gif)
是公差不为0的等差数列,且
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image028.gif)
为等比数列
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image029.gif)
的连续三项,则数列
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image029.gif)
的公比为
A.![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image030.gif) | B.4 | C.2 | D.![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image031.gif) |
题号:3494034
题型:选择题
难易度:一般
日期:2012-06-06
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】设
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image046.gif)
是函数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image038.gif)
的导函数,将
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image047.gif)
和
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image048.gif)
的图象画在同一个直角坐标系中,不可能正确的是
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image049.jpg)
题号:3494035
题型:选择题
难易度:一般
日期:2012-08-06
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】连掷两次骰子得到的点数分别为
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image050.gif)
和
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image051.gif)
,记向量
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image052.gif)
与向量
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image053.gif)
的夹角为
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image054.gif)
,则
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image055.gif)
的概率是
题号:1144367
题型:填空题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image102.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image103.gif)
,其中
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image104.gif)
.若两曲线
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image047.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image105.gif)
有公共点,且在该点处的切线相同.则
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image106.gif)
的值为
. (定义:
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image107.gif)
).
题号:1144368
题型:填空题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】若自然数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image051.gif)
使得作加法
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image095.gif)
运算均不产生进位现象,则称
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image051.gif)
为“给力数”,例如:
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image096.gif)
是“给力数”,因
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image097.gif)
不产生进位现象;
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image098.gif)
不是“给力数”,因
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image099.gif)
产生进位现象.设小于
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image100.gif)
的所有“给力数”的各个数位上的数字组成集合
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image101.gif)
,则用集合
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image101.gif)
中的数字可组成无重复数字的三位偶数的个数为
_______________.
题号:1144369
题型:填空题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
题号:1144370
题型:填空题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】函数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image087.gif)
的图像恒过定点A,若点A在直线
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image088.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image089.gif)
上,则
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image090.gif)
的最小值是
.
题号:1144362
题型:解答题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】(本小题12分)已知F
1,F
2是椭圆
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image224.gif)
的左、右焦点,点P(-1,
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image225.gif)
)在椭圆上,线段PF
2与
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image073.gif)
轴的交点
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image002.gif)
满足
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image226.gif)
.(1)求椭圆的标准方程;
(2)过F
1作不与
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image227.gif)
轴重合的直线
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image228.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image228.gif)
与圆
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image229.gif)
相交于A、B.并与椭圆相交于C、D.当
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image230.gif)
,且
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image231.gif)
时,求△F
2CD的面积S的取值范围.
题号:1144363
题型:解答题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】(本小题12分)
已知函数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image203.gif)
的图像如图所示.
(1)求
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image204.gif)
的值;
(2)若函数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image205.gif)
在
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image206.gif)
处的切线方程为
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image207.gif)
,
求函数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image205.gif)
的解析式;
(3)若
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image208.gif)
=5,方程
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image209.gif)
有三个不同的根,求实数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image210.gif)
的取值范围。
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image211.jpg)
题号:1144364
题型:解答题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】已知各项均为正数的数列
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image130.gif)
满足
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image131.gif)
其中
n=1,2,3,….(1)求
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image132.gif)
的值;(2)求证:
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image133.gif)
;
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image134.gif)
题号:1144365
题型:解答题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】(本小题12分)某公司在过去几年内使用某种型号的灯管1000支,该公司对这些灯管的使用寿命(单位:小时)进行了统计,统计结果如下表所示:
分组
| [500,900)
| [900,1100)
| [1100,1300)
| [1300,1500)
| [1500,1700)
| [1700,1900)
| [1900, )
|
频数
| 48
| 121
| 208
| 223
| 193
| 165
| 42
|
频率
|
|
|
|
|
|
|
|
(1)将各组的频率填入表中;
(2)根据上述统计结果,计算灯管使用寿命不足1500小时的频率;
(3)该公司某办公室新安装了这种型号的灯管3支,若将上述频率作为概率,试求至少有2支灯管的使用寿命不足1500小时的概率.
题号:1144366
题型:解答题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】(本小题10分)已知向量
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image109.gif)
,定义函数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image110.gif)
(1)求函数
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image038.gif)
最小正周期;
(2)在△ABC中,角A为锐角,且
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image111.gif)
,求边AC的长.
题号:3494036
题型:解答题
难易度:一般
日期:2011-06-03
来源:2011届河北省邯郸一中高三高考压轴模拟考试文数
【题文】(本小题12分)如图,四棱锥
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image144.gif)
中,
侧面
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image145.gif)
是边长为2的正三角形,且与底面垂直,底面
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image146.gif)
是
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image147.gif)
的菱形,
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image148.gif)
为
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image149.gif)
的中点.
(1)求
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image150.gif)
与底面
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image146.gif)
所成角的大小;
(2)求证:
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image151.gif)
平面
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image152.gif)
;
(3)求二面角
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image153.gif)
的余弦值.
![](http://static.zujuan.xkw.com/Upload/2011-06/03/880fa62c-b53e-4f4f-95b0-551ea7b728a7/paper.files/image154.gif)