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江苏省徐州市丰县中学2018-2019学年度高一下学期期末考试

2018~2019学年度第二学期期末抽测（B 卷）

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一、选择题（本部分共12小题，每小题5分，共60分）

1. 设集合A =????????? ??∈+=2,3,2cos 2sin 3|ππx x x y y ，集合B =????????????? ????? ??-x x x x -2121|2

＜，集合C ={}

332,2,0,2,2--，则C B A )(为 A. φ B.}2,2,0{3 C.}2,2,0,2{33- D.{}332,2,0,2,2--

2. 对于下列三个数的大小比较，正确的一项是

A.4.0log 5.02223.0＞＞

B.3.0222

4.0log

5.0＞＞ C.4.0log 25.023.02＞＞ D. 23.025.024.0log ＞＞

3.甲乙丙三人站一排，乙在中间的概率为 A. 21 B.32 C.31 D.41

4.已知向量a =（x,x -3），b =（3,4），若a ∥b ，则a 与b 夹角的余弦值为

A.2

1 B.-1 C.35- D.1

5.我国古代数学名著《九章算术?商功》中阐述：“斜解立方，

得两壍堵．斜解壍堵，其为阳马，一为鳖臑．阳马居二，鳖

臑居一，不易之率也．合两鳖臑三而一，验之以棊，其形露

矣．”若称为“阳马”的某几何体的三视图如图所示，图中网格

纸上小正方形的边长为1，则对该几何体描述：

①四个侧面都是直角三角形；

②最长的侧棱长为62；

③四个侧面中有三个侧面是全等的直角三角形；

④外接球的表面积为24π．

其中正确的个数为

A. 3

B. 2

C. 1

D. 0

6. 设f （x ）是定义在R 上且周期为2的函数，在区间[-1，1）上，f （x ）=，其中a ∈R ，若f （-25）=f （2

9），则f （5a ）的值是 A. 52 B.2 C.-2 D. 5

2- 7.若x ，y 满足

，则2x +y 的最大值为 A. 0 B. 3C. 4D. 5

8.若双曲线C ：122

22=-b

y a x （a ＞0，b ＞0）的一条渐近线被圆4)2(22=+-y x 所截得的弦长为2,则C 的离心率为

A.2

B.2

C.3

D.3

32 9. 在△ABC 中，角A ，B ，C 的对边分别为a ，b ，c ，若

C b c a cos cos 2=-，b =4,则三角形ABC 面积的最大值为 A.2 B.3 C.43 D.23

A. a ＞32 B . a ＞22 C. 22＜a ＜32

D. -32＜a ＜32 二、填空题（本部分共4小题，每小题5分，共20分）

13.如图，在平行四边形ABCD 中，已知AB=8，AD=5，CP =3PD ，BP AP ·

=2，则AD ·AB 的值是______．

14.在锐角三角形ABC 中，若sin A =2sin B sin C ，则tan A tan B tan C 的最小值是______．

15.经过抛物线E ：y 2=4x 的焦点的直线l 与E 相交于A 、B 两点,与E 的准线交于点C.若点A 位于第一象限,且B 是AC 的中点,则直线l 的斜率等于______．

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