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题号:1179456
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
题号:1179457
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】三棱锥
![](http://static.zujuan.xkw.com/Upload/2013-01/30/24f7410b-6f74-4772-9ea9-bb5a53dc3922/paper.files/image001.png)
中,
![](http://static.zujuan.xkw.com/Upload/2013-01/30/24f7410b-6f74-4772-9ea9-bb5a53dc3922/paper.files/image002.png)
,
![](http://static.zujuan.xkw.com/Upload/2013-01/30/24f7410b-6f74-4772-9ea9-bb5a53dc3922/paper.files/image003.png)
, D为AB的中点,∠ABC=90°,则点D到面SBC的距离等于
题号:1179458
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】设双曲线
![](http://static.zujuan.xkw.com/Upload/2013-01/30/4152ab15-3907-4bf3-9b56-fe8d26c0d6be/paper.files/image001.png)
的离心率为
![](http://static.zujuan.xkw.com/Upload/2013-01/30/4152ab15-3907-4bf3-9b56-fe8d26c0d6be/paper.files/image002.png)
,且它的一条准线与抛物线y
2=4x的准线重合,则此抛物线的方程为( )
题号:1179459
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】若原点到直线3ax+5by+15=0的距离为1,则
![](http://static.zujuan.xkw.com/Upload/2013-09/18/ded288c8-cec9-4270-81a8-7ccf12614605/paper.files/image001.png)
的取值范围为( )
A.[3,4] | B.[3,5] | C.[1,8] | D.(3,5] |
题号:1179460
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】一个等差数列共有10项,其中奇数项的为
![](http://static.zujuan.xkw.com/Upload/2013-03/07/5954e875-40fb-4c38-ae3b-581ed4d298bc/paper.files/image001.png)
,偶数项的和为15,则这个数列的第六项是()
题号:1179461
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】形如45132这样的数成为“波浪数”,即十位数字,千位数字均比它们各自相邻的数字大,则由1、2、3、4、5可构成的数字不重复的五位“波浪数”的个数为
题号:1179462
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
题号:1179463
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
题号:1179464
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】若函数
![](http://static.zujuan.xkw.com/Upload/2013-09/18/803826b7-9bf3-490b-bcd6-75b3dfd17e36/paper.files/image001.png)
内为增函数,则实数a的取值范围
题号:1179465
题型:选择题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】已知集合
![](http://static.zujuan.xkw.com/Upload/2013-02/22/63786a4f-b0c2-4a56-bc30-f71baf227add/paper.files/image001.png)
,且A的元素中至少含有一个奇数,则满足条件的集合A共有
题号:3443081
题型:选择题
难易度:一般
日期:2013-09-18
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】“
![](http://static.zujuan.xkw.com/Upload/2013-09/18/d1517ff5-8c23-477d-b2b0-e017f3cb57e5/paper.files/image001.png)
”是“直线
![](http://static.zujuan.xkw.com/Upload/2013-09/18/d1517ff5-8c23-477d-b2b0-e017f3cb57e5/paper.files/image002.png)
与直线
![](http://static.zujuan.xkw.com/Upload/2013-09/18/d1517ff5-8c23-477d-b2b0-e017f3cb57e5/paper.files/image003.png)
互相垂直”的
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
题号:3443082
题型:选择题
难易度:一般
日期:2012-09-13
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image069.gif)
、
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image070.gif)
分别是双
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image071.gif)
曲线
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image072.gif)
的左、右焦点,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image073.gif)
是其右顶点,过
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image070.gif)
作
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image074.gif)
轴的垂线与双曲线的一个交点为
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image075.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image076.gif)
是
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image077.gif)
,则双曲线的离心率是
A.![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image078.gif) | B.![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image079.gif) | C.2 | D.3 |
题号:1179453
题型:填空题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】已知函数
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image082.gif)
在区间(-1,1)上是增函数,则实数a的取值范围
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image005.gif)
是 .
题号:1179454
题型:填空题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】某校高中生共有900人,其中高一年级300人,高二年级200人,高三年
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image081.gif)
级400人,现采用分层抽取容量为45人的样本,那么高三年级抽取的人数为 .
题号:1179455
题型:填空题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image080.gif)
的展开式中常数项是 (用数字作答)
题号:3443083
题型:填空题
难易度:一般
日期:2012-05-14
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
题号:1179448
题型:解答题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】(本小题满分12分)
如图,已知
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image242.gif)
,直线
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image243.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image075.gif)
为平面上的动点,过点
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image075.gif)
作
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image244.gif)
的垂线,垂足为点
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image245.gif)
,且
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image246.gif)
.
(Ⅰ)求动点
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image075.gif)
的轨迹
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image092.gif)
的方程;
(Ⅱ)过点
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image247.gif)
的直线交轨迹
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image092.gif)
于
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image248.gif)
两
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image231.gif)
点,交直线
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image244.gif)
于点
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image249.gif)
.
(1)已知
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image250.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image251.gif)
,求
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image252.gif)
的值;
(2)求
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image253.gif)
的最小值.
题号:1179449
题型:解答题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】(本小题满分12分)
设函数
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image217.gif)
.
(Ⅰ)求
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image023.gif)
的最小值
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image218.gif)
;
(Ⅱ)若
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image219.gif)
对
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image220.gif)
恒成立,求实数
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image221.gif)
的取值范围.
题号:1179450
题型:解答题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】(本小题满分12分)
如图,直三棱柱
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image162.gif)
的底面
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image163.gif)
位于平行四边形
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image164.gif)
中,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image165.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image166.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image167.gif)
,点
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image168.gif)
为
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image169.gif)
中点.
(1)求证:平面
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image171.gif)
平面
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image172.gif)
.
(2)设二
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image173.gif)
面角
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image174.gif)
的大小为
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image175.gif)
,直线
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image176.gif)
与平面
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image177.gif)
所成的角为
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image178.gif)
,求
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image179.gif)
的值.
题号:1179451
题型:解答题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】 (本小题满分12分)
已知实数列
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image140.gif)
等比数列,其中
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image141.gif)
成等差数列.
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image142.gif)
(Ⅰ)求数列
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image143.gif)
的通项公式;
(Ⅱ)数列
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image143.gif)
的前
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image144.gif)
项和记为
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image145.gif)
证明:
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image146.gif)
<128
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image147.gif)
…).
题号:1179452
题型:解答题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】(本小题
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image088.gif)
满分10分)
在
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image089.gif)
中,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image090.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image091.gif)
.
(Ⅰ)求角
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image056.gif)
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image092.gif)
的大小;
(Ⅱ)若
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image053.gif)
边的长为
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image093.gif)
,求
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image094.gif)
边的长.
题号:3443084
题型:解答题
难易度:一般
日期:2011-02-17
来源:2011届河北省冀州中学高三空一轮检测复习数学文卷
【题文】(本小题满分12分
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image102.gif)
)
甲
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image039.gif)
、乙两名跳高运动员一次试跳
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image103.gif)
米高度成功的概率分别是
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image104.gif)
,
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image105.gif)
,且每次试跳成功与否相互之间没有影响,求:
(Ⅰ)甲试跳三次,第三次才成功的概率
![](http://static.zujuan.xkw.com/Upload/2011-02/17/b31bc3c7-63b9-473a-a0a5-55dee08888c6/paper.files/image106.gif)
;
(Ⅱ)甲、乙两人在第一次试跳中至少有一人成功的概率;
(Ⅲ)甲、乙各试跳两次,甲比乙的成功次数恰好多一次的概率.