重庆市西南大学附属中学校2019届高三第九次月考数学(文)试题

适用年级:高三
试卷号:621013

试卷类型:月考
试卷考试时间:2019/4/17

1.单选题(共10题)

1.
已知,则(    )
A.B.C.D.
2.
函数的大致图象为  
A.B.
C.D.
3.
已知,则(    )
A.B.
C.D.
4.
已知奇函数是定义在R上的单调函数,若函数恰有个零点,则的取值范围是(    )
A.B.C.D.
5.
等比数列的各项均为正数,已知向量,且,则  
A.12B.10C.5D.
6.
一个棱长为2的正方体被一个平面截去部分后,余下部分的三视图如图所示,则截去部分与剩余部分体积的比为( )
A.1:3B.1:4C.1:5D.1:6
7.
在三棱锥中,平面ABC,且三棱锥的体积为,若三棱锥的四个顶点都在同一球面上,则该球的表面积为  
A.B.C.D.
8.
已知是三条不同的直线,是三个不同的平面,给出以下命题:
①若,则; ②若,则;③若,则;④若,则
其中正确命题的序号是(  )
A.②④B.②③C.③④D.①③
9.
直线与圆心为,半径为的圆相交于两点,另一直线与圆交于两点,则四边形面积的最大值为(    )
A.B.C.D.
10.
一个袋子中有个红球,个白球,若从中任取个球,则这个球中有白球的概率是(    )
A.B.C.D.

2.选择题(共2题)

11.

一次函数y=﹣x+2的图象不经过的象限是(   )

12.

完形填空

    The leaves fluttered (飘动)over Josh's head. The park near his home had always been one of Josh's1 places. ①He liked to watch the colors of the trees glow (闪耀)in the sunlight,2the golden trees. It was the same color as his trumpet (小号).He smiled when he 3 the music the leaves made. Josh sat down and looked at his watch. His father would meet him in a few 4 for their first practice in the park.

    Josh and his family lived in an apartment building. When Josh first began playing the trumpet, he5 in his own living room. Then the family next door had a new baby. To avoid6the baby, Josh would 7his practice time in the park. His father told him it would be good to practice in a wide,open8like the park. The baby next door would be able to sleep 9, but Josh was not very happy with the10 . He enjoyed visiting the park,but he didn't want to practice there. He was 11that he would embarrass (使……难堪)himself in a pubic place if he played the wrong notes (音符).He didn't want people to12him as he played in the middle of the park.

    Josh's father was a great trumpet player, who once played in a jazz band. He couldn't possibly understand how13 it would be to practice in the park!

    His father came over and14Josh's daydream. "Josh, are you ready to practice?" He sat down and 15 his own trumpet from its case. He held the trumpet to his16and began to play. The beautiful music floated into the blue afternoon sky.

    Josh looked up at the golden trees. The leaves17 to be dancing to the tune his father was playing. Josh felt 18as he watched the people walking by and smiling at his father.

    He 19 to play like that. Josh put his trumpet to his mouth and blew. He had such a great time that he didn't 20 if he played a few bad notes. Now he and his neighbors could all be happy.

3.填空题(共4题)

13.
函数的单调减区间为______
14.
数列中,若,则______.
15.
已知xy满足,则z=2x+y的最大值为_____.
16.
在区间内分别取一个数,记为a和b,则方程表示离心率小于的双曲线的概率为________.

4.解答题(共5题)

17.
设函数
时,求的极值;
的定义域为,判断是否存在极值若存在,试求a的取值范围;否则,请说明理由.
18.
设函数的图象的一个对称中心为,且图象上最高点与相邻最低点的距离为
的值;
,求的值.
19.
已知函数
(1)   解关于x的不等式
(2)   若函数的图像恒在函数图像的上方,求m的取值范围.
20.
如图,边长为2的正方形ABCD中,E、F分别是AB、BC边的中点,将分别沿DE,DF折起,使得A,C两点重合于点M.

(1)   求证:
(2)   求三棱锥的体积.
21.
艾滋病是一种危害性极大的传染病,由感染艾滋病病毒病毒引起,它把人体免疫系统中最重要的CD4T淋巴细胞作为主要攻击目标,使人体丧失免疫功能下表是近八年来我国艾滋病病毒感染人数统计表:
年份
2011
2012
2013
2014
2015
2016
2017
2018
年份代码x
1
2
3
4
5
6
7
8
感染者人数单位:万人







85
 
请根据该统计表,画出这八年我国艾滋病病毒感染人数的折线图;

请用相关系数说明:能用线性回归模型拟合yx的关系;
建立y关于x的回归方程系数精确到,预测2019年我国艾滋病病毒感染人数.
参考数据:
参考公式:相关系数
回归方程中,
试卷分析
  • 【1】题量占比

    单选题:(10道)

    选择题:(2道)

    填空题:(4道)

    解答题:(5道)

  • 【2】:难度分析

    1星难题:0

    2星难题:0

    3星难题:0

    4星难题:0

    5星难题:0

    6星难题:0

    7星难题:0

    8星难题:0

    9星难题:19