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本试卷共有20道试题，满分150分．考试时间120分钟．

一、填空题（55分）本大题共有11题，要求在答题纸相应题序的空格内直接填写结果，每个空格填对得5分，否则一律得零分．

1．已知集合{}0ln |>=x x A ，{}32|<=x x B ，则=B A ________．

2．若实数x ，y 满足约束条件??

???≤-+≤≥,092,,0y x x y x 则y x z 3+=的最大值等于

________．

3．已知7)(x

a x -展开式中3x 的系数为84，则正实数a 的值为 . 4．盒中装有形状、大小完全相同的5个球，其中红色球3个，黄色球2个．若从中随机取出2个球，则所取出的2个球颜色不同的概率为________．

5．设)(x f 为R 上的奇函数．当0≥x 时，b x x f x ++=22)( (b 为常数)，则)1(-f 的值为________．

6．设Q P ,分别为直线???-==t y t x 26,（t 为参数）和曲线C ：?????+-=+=θ

θsin 52,cos 51y x （θ为参数）的点，则PQ 的最小值为 ．

7．各项均不为零的数列}{n a 的前n 项和为n S ． 对任意*N ∈n ，

)2,(11++-=n n n n a a a m

都是直线kx y =的法向量．若n n S ∞

→lim 存在，则实数k 的取值范围是________．

8．已知正四棱锥ABCD P -的棱长都相等，侧棱PB 、PD 的中点分别为M 、N ，则截面AMN 与底面ABCD 所成的二面角的余弦值是________．

9．设0>a ，若对于任意的0>x ，都有

x x

a 211≤-，则a 的取值范围是________．

10．若适合不等式5342≤-++-x k x x 的x 的最大值为3，则实数k 的值为_______．

11．已知x x x f +-=11)(，数列}{n a 满足211=a ，对于任意*N ∈n 都满足)(2n n a f a =+，且0>n a ，若1820a a =，则20172016a a +的值为_________．

二、选择题（20分）本大题共有4题，每题都给出四个结论，其中有且只有一个结论是正确的，必须把答题纸上相应题序内的正确结论代号涂黑，选对得5分，否则一律得零分.

12．已知,,a b ∈R 则“33log log a b >”是“b a )2

1()21(<”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 13．已知复数z 满足z z -=+1i

1（i 是虚数单位），则z 的虚部为（ ）． A ．i B ．－1

C ．1

D ．－i [ 14．当??? ??∈21,0k 时，方程()1+=x k x 的根的个数是（ ）．

A ．1

B ．2

C ．3

D ．4

15．曲线C 为：到两定点)0,2(-M 、)0,2(N 距离乘积为常数16的动点P 的轨迹．以下结论正确的个数为（ ）．

（1）曲线C 一定经过原点；

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