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题号:920238
题型:选择题
难易度:较难
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次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/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image144.png)
在
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image145.png)
上的最大值为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image146.png)
,则函数
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image147.png)
的零点的个数为( )
题号:920239
题型:选择题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】已知四面体
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image120.png)
的外接球的球心
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image121.png)
在
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image122.png)
上,且
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image123.png)
平面
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image124.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image125.png)
,若四
面体
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image120.png)
的体积为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image126.png)
,则该球的表面积为( )
题号:920240
题型:选择题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】若在区间
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image111.png)
中随机地取两个数,则这两个数中较小的数大于
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image112.png)
的概率是( )
题号:920241
题型:选择题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
题号:920242
题型:选择题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】四个小动物换座位,开始是鼠、猴、兔、猫分别坐
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image088.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image040.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image089.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image055.png)
号位上(如图),第一次前后
排动物互换座位,第二次左右列动物互换座位,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image090.png)
这样交替进行下去,那么第
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image091.png)
次互换座位后,小兔坐
在第
号座位上
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image092.jpg)
题号:920243
题型:选择题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】如图是一个算法的程序框图,当输入的
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image020.png)
值为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image017.png)
时,输出
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image070.png)
的结果恰好是
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image071.png)
,则①处的关系式是( )
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image072.jpg)
题号:920244
题型:选择题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】函数
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image061.png)
部分图象可以为( )
题号:920245
题型:选择题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】如图,正三棱柱
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image052.png)
的各棱长均为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image040.png)
,其正(主)视图如图1所示,则此三棱柱侧
(左)视图的面积为( )
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image053.jpg)
题号:920246
题型:选择题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】已知双曲线的离心率为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image040.png)
,焦点是
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image041.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image042.png)
,则双曲线方程为( )
题号:920247
题型:选择题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】某车间为了规定工时定额,需要确定加工零件所花费的时间,为此进行了
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image017.png)
次试验,根据收集到
的数据(如下表),由最小二乘法求得回归直线方程
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image018.png)
,利用下表中数据推断
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image019.png)
的值为( )
A.
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image031.png)
B.
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image032.png)
C.
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image033.png)
D.
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image034.png)
题号:920248
题型:选择题
难易度:容易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
题号:920249
题型:选择题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
题号:920234
题型:填空题
难易度:较难
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】如图所示点
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image217.png)
是抛物线
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image218.png)
的焦点,点
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image199.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image200.png)
分别在抛物线
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image218.png)
及圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image219.png)
的实线部分上运动,且
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image122.png)
总是平行于
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image020.png)
轴,,则
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image220.png)
的周长的取值范围是____________
___.
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image221.jpg)
题号:920235
题型:填空题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】在
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image198.png)
中,角
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image199.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image200.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image201.png)
的对边分别为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image019.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image202.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image203.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image204.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image205.png)
,当
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image198.png)
的面积等于
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image056.png)
时,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image206.png)
_______________.
题号:920236
题型:填空题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image185.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image186.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image187.png)
,则向量
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image188.png)
与向量
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image189.png)
的夹角为_______________.
题号:920237
题型:填空题
难易度:较易
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】若
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image020.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image070.png)
满足约束条件
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image176.png)
,则
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image177.png)
的最小值为_______________.
题号:920206
题型:解答题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次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/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image455.png)
.
(1)当
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image397.png)
时,解不等式
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image456.png)
;
(2)若不等式
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image457.png)
恒成立,求实数
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image019.png)
的取值范围.
题号:920207
题型:解答题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】已知圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image201.png)
的极坐标方程为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image434.png)
,直线
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image183.png)
的参数方程为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image435.png)
(
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image436.png)
为参数),点
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image199.png)
的极坐标为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image437.png)
,设直线
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image183.png)
与圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image201.png)
交于点
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image138.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image438.png)
.
(1)写出圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image201.png)
的直角坐标方程;
(2)求
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image439.png)
的值.
题号:920208
题型:解答题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】已知,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image122.png)
为圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image121.png)
的直径,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image414.png)
为垂直
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image122.png)
的一条弦,垂足为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image381.png)
,弦
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image415.png)
交
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image414.png)
于
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image217.png)
.
(1)求证:
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image381.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image217.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image416.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image200.png)
四点共圆;
(2)若
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image417.png)
,求线段
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image418.png)
的长.
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image419.png)
题号:920209
题型:解答题
难易度:较难
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image374.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image375.png)
为椭圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image376.png)
的左右焦点,点
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image377.png)
为其上一点,且有
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image378.png)
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image379.png)
.
(1)求椭圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image201.png)
的标准方程;
(2)过
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image374.png)
的直线
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image380.png)
与椭圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image381.png)
交于
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image199.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image200.png)
两点,过
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image375.png)
与
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image380.png)
平行的直线
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image382.png)
与椭圆
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image381.png)
交于
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image201.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image229.png)
两点,求四边形
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image383.png)
的面积
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image384.png)
的最大值.
题号:920210
题型:解答题
难易度:困难
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次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/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image338.png)
,曲线
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image339.png)
经过点
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image340.png)
,
且在点
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image138.png)
处的切线为
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image341.png)
.
(1)求
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image019.png)
、
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image202.png)
的值;
(2)若存在实数
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image342.png)
,使得
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image343.png)
时,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image344.png)
恒成立,求
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image342.png)
的取值范围.
题号:920211
题型:解答题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】如图,在三棱锥
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image001.png)
中,
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image002.png)
底面
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image003.png)
,
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image004.png)
,且
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image005.png)
,点
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image006.png)
是
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image007.png)
的中点,
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image008.png)
且交
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image009.png)
于点
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image010.png)
.
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image011.png)
(1)求证:
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image012.png)
平面
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image013.png)
;
(2)当
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image014.png)
时,求三棱锥
![](http://static.zujuan.xkw.com/Upload/2017-10/02/816c3fe4-e041-44a0-81ab-e19eb8021a2f/paper.files/image015.png)
的体积.
题号:920232
题型:解答题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
题号:920233
题型:解答题
难易度:一般
日期:2014-05-16
来源:2014届河北省邯郸市高三第二次模拟考试文科数学试卷(带解析)
【题文】已知
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image237.png)
为正项等比数列,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image238.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image239.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image240.png)
为等差数列
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image241.png)
的前
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image094.png)
项和,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image242.png)
,
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image243.png)
.
(1)求
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image237.png)
和
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image241.png)
的通项公式;
(2)设
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image244.png)
,求
![](http://static.zujuan.xkw.com/Upload/2014-05/16/dbed1a73-1aad-41ba-97fd-a11d50d04a69/paper.files/image245.png)
.