江西省南康中学2017-2018学年高二下学期第三次月考数学(文)试题

适用年级:高二
试卷号:621243

试卷类型:月考
试卷考试时间:2018/9/2

1.单选题(共10题)

1.
已知集合,则集合的子集个数是()
A.B.C.D.
2.
已知命题直线是曲线的对称轴;命题抛物线的准线方程为则下列命题是真命题的是(   )
A.B.C.D.
3.
命题“对任意,都有”的否定是()
A.存在,使得B.不存在,使得
C.存在,使得D.对任意,都有
4.
幂函数为增函数,则的值为(   )
A.1或3B.3C.2D.1
5.
设函数,则下列结论正确的是()
A.函数上单调递增
B.函数上单调递减
C.若,则函数的图象在点处的切线方程为y=10
D.若b=0,则函数的图象与直线y=10只有一个公共点
6.
数列满足,则数列的前项和为( )
A.B.C.D.
7.
已知实数满足条件,若目标函数的最大值为9,则的最小值为(   )
A.B.16C.4D.
8.
一个几何体的三视图如图所示,则该几何体的体积为(    )
A.B.C.16D.32
9.
如图,正四棱锥底面的四个顶点在球的同一个大圆上,点在球面上,如果,则球的体积是(   ) 
A.B.C.D.
10.
执行如图的程序框图,如果输入的的值是,那么输出的的值是(   )
A.15B.105C.120D.720

2.选择题(共4题)

11.一体重为500N的同学站在体重计上,在升降机中研究超重与失重现象,升降机在上升过程中经历了加速、匀速和减速三个阶段,则比较符合实际情况的体重计的示数依次应为(   )
12.从某一高度相隔1s先后释放两个相同的小球甲和乙,不计空气阻力,它们在空中任一时刻(   )
13.用方框中所给单词的适当形式完成下面的短文

make, with, everything, like, other, it, photo, interesting

    Skin-diving (轻装潜水)is a new sport today. Many people show interest in this sport. Some go under water to see beautiful scenes(景色).{#blank#}1{#/blank#}go down into deep(深的) water to take pictures of swimming fish. It is not dark under water and there are a lot of big or little fish living there. Some of them use the sand to {#blank#}2{#/blank#}their homes. If you are under water, you will find you are just in a fish village.

    There is no wind under water.{#blank#}3{#/blank#} is blue and green. During the day, there is much light. Sometimes people do not have to use a flash(闪关灯)to take {#blank#}4{#/blank#}under water.

    This sport takes you into a wonderful new world. When you are under water,{#blank#}5{#/blank#} is easy for you to carry a big stone(石头). It is{#blank#}6{#/blank#}a trip to the moon!

    Catching fish is one of the most {#blank#}7{#/blank#} parts of this sport. When fish swim nearby, you can catch them{#blank#}8{#/blank#} your hands.

14.用方框中所给单词的适当形式完成下面的短文

make, with, everything, like, other, it, photo, interesting

    Skin-diving (轻装潜水)is a new sport today. Many people show interest in this sport. Some go under water to see beautiful scenes(景色).{#blank#}1{#/blank#}go down into deep(深的) water to take pictures of swimming fish. It is not dark under water and there are a lot of big or little fish living there. Some of them use the sand to {#blank#}2{#/blank#}their homes. If you are under water, you will find you are just in a fish village.

    There is no wind under water.{#blank#}3{#/blank#} is blue and green. During the day, there is much light. Sometimes people do not have to use a flash(闪关灯)to take {#blank#}4{#/blank#}under water.

    This sport takes you into a wonderful new world. When you are under water,{#blank#}5{#/blank#} is easy for you to carry a big stone(石头). It is{#blank#}6{#/blank#}a trip to the moon!

    Catching fish is one of the most {#blank#}7{#/blank#} parts of this sport. When fish swim nearby, you can catch them{#blank#}8{#/blank#} your hands.

3.填空题(共3题)

15.
已知函数的定义域为,则函数的定义域为______________
16.
为定义在上的奇函数,当时,为实常数),则  
17.
已知偶函数满足,且当时,,若在区间内,函数有且仅有3个零点,则实数的取值范围是_________

4.解答题(共4题)

18.
已知函数.
(1)若曲线处的切线方程为,求的极值;
(2)若,是否存在,使的极值大于零?若存在,求出的取值范围;若不存在,请说明理由.
19.
已知函数
(1)求函数的最小值和最小正周期;
(2)设的内角的对边分别为,满足,求的值.
20.
如图,三棱锥中,底面的中点,点上,且.

(1)求证:平面平面
(2)三棱锥的体积
21.
某工厂生产两种元件,其质量按测试指标划分为:大于或等于为正品,小于为次品.现从一批产品中随机抽取这两种元件各件进行检测,检测结果记录如下:






B





 
由于表格被污损,数据看不清,统计员只记得,且两种元件的检测数据的平均值相等,方差也相等.
(1)求表格中的值;
(2)从被检测的种元件中任取件,求件都为正品的概率.
试卷分析
  • 【1】题量占比

    单选题:(10道)

    选择题:(4道)

    填空题:(3道)

    解答题:(4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:17