2015-2016学年高二下学期期中考试数学试题.pdf
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1、2015/2016 学年度第二学期期中考试高二年级数学试题(文科)一、填空题:(70 分)1xR,sin1x的否定是 2若复数(1 bi)(2 i)是纯虚数(i是虚数单位),则实数b=3已知集合 3,1,1,2A,集合0,)B,则ABI .4.数列 1,4,7,10,的第 8 项等于5计算:234iiii .6.已知函数()21,(1)f xxf x则7若将复数212ii表示为(,abi a bR i是虚数单位)的形式,则ab8用反证法证明命题“三角形的内角中至少有一个角不大于60o”时应假设.9若函数,1,12,1),1()(xxxxfxf则)23(f的值等于 .10已知条件:3p a,条件
2、:(3)0q a a,则p是q条件.11已知函数f(x)=2x+2(a-1)x+2在区间(,6 上递减,则a 的取值范围是 .12现有一个关于平面图形的命题:如图,同一个平面内有两个边长都是 a 的正方形,其中一个的某顶点在另一个的中心,则这两个正方形产生重叠部分的面积恒为42a,类比到空间,有两个棱长均为a 的正方体,其中一个的某顶点在另一个的中心,则这两个正方体重叠部分的体积恒为 .13已知偶函数()f x在0,)上是增函数,则不等式1(21)()3fxf的解集是14一同学在电脑中打出如下若干个圈:若将此若干个圈依此规律继续下去,得到一系列的圈,那么在前 160 个圈中的的个数是。二、解答
3、题(90 分)15.(本题满分 14 分)把复数z的共轭复数记作z,i为虚数单位,若1zi(1)求复数(1)zz;(2)求2(1)zz的模16(本题满分 14 分)若集合2280Ax xx,0Bx xm(1)若3m,全集UR,试求UAC B;(2)若AB,求实数m的取值范围;17(本题满分 14 分)已知x,yR+,且x+y2,求证:xyyx11与中至少有一个小于 2。18、(本题满分 16 分)设命题:p实数x满足03422aaxx,其中0a,命题:q实数x满足2280 xx文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10
4、 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2
5、X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7
6、 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D
7、9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H
8、5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:
9、CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O
10、6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5(1)若1a,且qp为真,求实数x的取值范围;(2)若q是p的充分不必要条件,求实数a 的取值范围19(本题满分 16 分)已知数列na满足条件111nnaa.(1)若112a,求234,a a a的值.(2)已知对任意的nN,都有1na,求证:3nnaa对任意的正整数n都成立;(3)
11、在(1)的条件下,求2 015a.20(本题满分 16 分)已知函数2()(4)2f xxaxb,2log(1)3f,且()()2g xf xx为偶函数.(1)求函数()f x的解析式;(2)若函数()f x在区间,)m的最大值为1 3m,求m的值.文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM
12、9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J2U10 HO4F2X9T1K7 ZT10D9K9A2H5文档编码:CM9F4O6J
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