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题号:929110
题型:选择题
难易度:较难
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】设函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image120.png)
的定义域为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image015.png)
,如果存在正实数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image121.png)
,对于任意
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image122.png)
,都有
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image123.png)
,且
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image124.png)
恒成立,则称函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image120.png)
为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image015.png)
上的“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image121.png)
型增函数”,已知函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image120.png)
是定义在
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image125.png)
上的奇函数,且当
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image126.png)
时,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image127.png)
,若
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image120.png)
为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image125.png)
上的“2014型增函数”,则实数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image128.png)
的取值范围是( )
题号:929111
题型:选择题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】设
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image101.png)
是双曲线
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image102.png)
的两个焦点,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image103.png)
是
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image013.png)
上一点,若
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image104.png)
且
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image105.png)
的最小内角为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image106.png)
,则
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image013.png)
的离心率为( )
题号:929132
题型:选择题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】若点
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image087.png)
在函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image088.png)
的图像上,点
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image089.png)
在函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image090.png)
的图像上,则
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image091.png)
的最小值为( )
A.![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image092.png) | B.2 | C.![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image093.png) | D.8 |
题号:929133
题型:选择题
难易度:较易
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】有下列说法:(1)“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image079.png)
”为真是“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image080.png)
”为真的充分不必要条件;(2)“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image079.png)
”为假是“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image080.png)
”为真的充分不必要条件;(3)“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image080.png)
”为真是“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image081.png)
”为假的必要不充分条件;(4)“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image081.png)
”为真是“
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image079.png)
”为假的必要不充分条件.其中正确的个数为( )
题号:929134
题型:选择题
难易度:较易
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】已知数列{a
n}的通项公式
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image073.png)
,则
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image074.png)
=( )
题号:929135
题型:选择题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
题号:929136
题型:选择题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】已知直线
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image045.png)
与圆
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image046.png)
交于
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image047.png)
两点,则与向量
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image048.png)
(
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image049.png)
为坐标原点)共线的一个向量为()
题号:929137
题型:选择题
难易度:容易
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
题号:929138
题型:选择题
难易度:较易
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
题号:3844000
题型:选择题
难易度:容易
日期:2014-05-03
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】执行如图所示的程序框图.若输出
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image020.png)
, 则框图中①处可以填入( )
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image021.jpg)
题号:3844001
题型:选择题
难易度:较易
日期:2014-05-03
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】设
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image036.png)
的三边长分别为a、b、c,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image036.png)
的面积为S,内切圆半径为r,则r=
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image037.png)
;类比这个结论可知:四面体P-ABC的四个面的面积分别为S
1、S
2、S
3、S
4,内切球的半径为r,四面体
P-ABC的体积为V,则r=( )
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image009.png)
.
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image011.png)
.
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image013.png)
.
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image015.png)
.
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image041.png)
题号:3844002
题型:选择题
难易度:容易
日期:2014-05-03
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】方体ABCD-A
1B
1C
1D
1中,E为棱BB
1的中点(如图1),用过点A,E,C
1的平面截去该正方体的上半部分,则剩余几何体的左视图为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image062.jpg)
题号:929107
题型:填空题
难易度:较易
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】设
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image184.png)
,其中
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image185.png)
成公比为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image086.png)
的等比数列,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image186.png)
成公差为1的等差数列,则
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image086.png)
的最小值是.
题号:929108
题型:填空题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image178.png)
的定义域为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image179.png)
,则函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image120.png)
的值域为________.
题号:929109
题型:填空题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
题号:3844003
题型:填空题
难易度:一般
日期:2014-04-30
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】设变量x,y满足
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image172.png)
的最大值为.
题号:929100
题型:解答题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image468.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image469.png)
。
(1)求不等式
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image470.png)
的解集;
(2)若不等式
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image471.png)
有解,求实数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image472.png)
的取值范围。
题号:929101
题型:解答题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】已知极坐标系的极点与直角坐标系的原点重合,极轴与直角坐标系中
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image450.png)
轴的正半轴重合,且两坐标系有相同的长度单位,圆C的参数方程为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image451.png)
(
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image452.png)
为参数),点Q的极坐标为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image453.png)
。
(1)化圆C的参数方程为极坐标方程;
(2)若直线
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image300.png)
过点Q且与圆C交于M,N两点,求当弦MN的长度为最小时,直线
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image300.png)
的直角坐标方程。
题号:929102
题型:解答题
难易度:较难
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】如图,PA为⊙O的切线,A为切点,PBC是过点O的割线,PA=10,PB=5。
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image406.png)
求:(1)⊙O的半径;(2)s1n∠BAP的值。
题号:929103
题型:解答题
难易度:较难
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image337.png)
为函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image338.png)
图象上一点,O为坐标原点,记直线
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image339.png)
的斜率
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image340.png)
.
(1)若函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image341.png)
在区间
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image342.png)
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image343.png)
上存在极值,求实数m的取值范围;
(2)设
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image344.png)
,若对任意
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image345.png)
恒有
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image346.png)
,求实数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image128.png)
的取值范围.
题号:929104
题型:解答题
难易度:较难
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】已知椭圆
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image294.png)
:
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image295.png)
(
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image296.png)
)的右焦点
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image297.png)
,右顶点
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image009.png)
,且
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image298.png)
.
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image299.png)
(1)求椭圆
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image294.png)
的标准方程;
(2)若动直线
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image300.png)
:
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image301.png)
与椭圆
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image294.png)
有且只有一个交点
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image103.png)
,且与直线
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image302.png)
交于点
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image303.png)
,问:是否存在一个定点
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image304.png)
,使得
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image305.png)
.若存在,求出点
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image306.png)
坐标;若不存在,说明理由.
题号:929105
题型:解答题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】如右图,在底面为平行四边形的四棱柱
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image240.png)
中,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image241.png)
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image242.png)
底面
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image243.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image244.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image245.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image246.png)
.
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image247.jpg)
(1)求证:平面
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image248.png)
平面
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image249.png)
;
(2)若
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image250.png)
,求四棱锥
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image251.png)
的体积.
题号:929106
题型:解答题
难易度:一般
日期:2014-04-25
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】某学校制定学校发展规划时,对现有教师进行年龄状况和接受教育程度(学历)的调查,其结果(人数分布)如表:
学历
| 35岁以下
| 35至50岁
| 50岁以上
|
本科
| 80
| 30
| 20
|
研究生
| x
| 20
| y
|
(1)用分层抽样的方法在35至50岁年龄段的教师中抽取一个容量为5的样本,将该样本看成一个总体,从中任取2人,求至少有l人的学历为研究生的概率;
(2)在该校教师中按年龄状况用分层抽样的方法抽取N个人,其中35岁以下48人,50岁以上10人,再从这N个人中随机抽取l人,此人的年龄为50岁以上的概率为
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image230.png)
,求x、y的值.
题号:3844004
题型:解答题
难易度:一般
日期:2014-05-05
来源:2014届河北省冀州中学高三年级模拟考试文科数学试卷(带解析)
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image194.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image195.png)
的最大值为2.
(1)求函数
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image196.png)
在
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image197.png)
上的值域;
(2)已知
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image036.png)
外接圆半径
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image198.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image199.png)
,角
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image200.png)
所对的边分别是
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image201.png)
,求
![](http://static.zujuan.xkw.com/Upload/2014-04/25/477169c9-b2cb-43ee-a22b-23e18692f033/paper.files/image202.png)
的值.