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江苏省2014届高三百校联合调研测试(一)数学试题

江苏省2014届高三百校联合调研测试(一)数学试题
江苏省2014届高三百校联合调研测试(一)数学试题

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4000

25001000月收入(元)

频率/组距

江苏省2014届高三百校联合调研测试(一)

数学试题

本试卷分为第I 卷(选择题)和第II 卷(非选择题)两部分.选修测试历史的而考生仅需做第I 卷,共160分,考试用时120分钟.选修测物理的考生需做第I 卷和第II 卷,共200分考试用时150分钟.

第I 卷(必做题 共160分)

一、填空题:本大题共14小题,每小题5分,共70分.把答案填在题中横线上。 1.已知集合{|21}x

A x =>,{|1}

B x x =<,则A B = .

2.复数

(i 是虚数单位)是纯虚数,则实数a 的值为. 3.一个社会调查机构就某地居民的月收入调查了10 000人,并根据所得数据画了样本的频率分布直方图(如下图).为了分析居民的收入与年龄、学历、职业等方面的关系,要从这10 000人中再用分层抽样方法抽出100人作进一步调查,则在[2500,3000)(元)月收入段应抽出人.

4.某算法的伪代码如图所示,若输出y 的值为1,则输入x 的值为.

5.已知双曲线22

14x y b

-=的右焦点为(3,0),则该双曲线的渐近线方程

为________.

6.已知2sin 3cos 0θθ+=,则tan 2θ=________.

7.已知正三棱柱底面边长是2,,外接球的表面积是16π,则该三棱柱的侧棱长.

8.在R 上定义运算⊙:a ⊙b =ab +2a +b ,则不等式x ⊙(x -2)<0的解集是.

9.投掷一枚正方体骰子(六个面上分别标有1,2,3,4,5,6),向上的面上的数字记为,又

表示集合的元素个数,

,则的概率为

10.函数1

()2sin(),[2,4]1f x x x x

π=-

∈--的所有零点之和为. 11.如图,是半径为1的圆的直径,△ABC 是边长为1的正三角形,则?的

最大值为.

12. 已知数列{}n a 的首项1a a =,其前n 和为n S ,且满足

i

i

a 212+-PQ A Read x

If x ≤0 Then y ←x +2 Else y ←log 2014x End If Print y (第4题)

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④若αβ⊥,b αβ=,a α?,a b ⊥,则a β⊥ A .①③ B .②③④ C .①②④ D .①②③④ 7.下图是一程序框图,若输入的1 2 A = ,则输出的值为( ) A . 25 B .512 C .1229 D .2960 8.函数()sin()f x A x ω?=+(其中0,0ω>>A ,||2 π ?<)的图象如图所示,为了得到()y f x =的 图象,只需把1()sin cos 22 ωω= -g x x x 的图象上所有点( ) A .向左平移 6π个单位长度 B .向左平移3π 个单位长度 C .向右平移 6π个单位长度 D .向右平移3 π 个单位长度 9.8 (12)2 y x +-的展开式中22x y 项的系数是( ) A .420 B .420- C .1680 D .1680-

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