2012届上海市宝山区高三上学期期末质量监测数学

适用年级:高三
试卷号:528261

试卷类型:期末
试卷考试时间:2017/7/26

1.选择题(共15题)

1.

(不等式选讲)若实数x,y,z满足x2+y2+z2=9,则x+2y+3z的最大值是{#blank#}1{#/blank#} 

2.

(不等式选讲)若实数x,y,z满足x2+y2+z2=9,则x+2y+3z的最大值是{#blank#}1{#/blank#} 

3.

I hurried to school without ________ breakfast.

4.

阅读理解

 The Ugly Duckling(丑小鸭)

The mother duck had eight little yellow ducklings, but one of them was different from the others. They called him ugly duckling.

“You are an ugly duckling, ”the other ducklings said. “You don’t look like us. We don’t want to play with you. ”

“You have made fun of me since I was born, ”the poor duckling said sadly(难过地). “You have hurt(伤害)me for years! I don’t want to stay here any more. ”

So he left(离开)them and tried to find a happy place. Finally, he came to a lake. Many beautiful swans(天鹅)were there. The ugly duckling swam to them.

“Hello, little one. I’ve never seen you before. Where are you from? ”One of the swans saw him and asked.

“Hello, I came from a place far away. I walked a long way. Now I’m tired. Can I join you? ”

“Sure, you are welcome, my dear child, ”the swan answered.

“You’re just one of us! ”

The ugly duckling was very happy, but a little surprised. He looked at himself in the clear water. Instead of(代替)an ugly duckling, he saw a beautiful swan. It was himself!

He became the most beautiful swan of them all.

根据短文内容, 判断正误(T/F)。

5.

阅读理解

 The Ugly Duckling(丑小鸭)

The mother duck had eight little yellow ducklings, but one of them was different from the others. They called him ugly duckling.

“You are an ugly duckling, ”the other ducklings said. “You don’t look like us. We don’t want to play with you. ”

“You have made fun of me since I was born, ”the poor duckling said sadly(难过地). “You have hurt(伤害)me for years! I don’t want to stay here any more. ”

So he left(离开)them and tried to find a happy place. Finally, he came to a lake. Many beautiful swans(天鹅)were there. The ugly duckling swam to them.

“Hello, little one. I’ve never seen you before. Where are you from? ”One of the swans saw him and asked.

“Hello, I came from a place far away. I walked a long way. Now I’m tired. Can I join you? ”

“Sure, you are welcome, my dear child, ”the swan answered.

“You’re just one of us! ”

The ugly duckling was very happy, but a little surprised. He looked at himself in the clear water. Instead of(代替)an ugly duckling, he saw a beautiful swan. It was himself!

He became the most beautiful swan of them all.

根据短文内容, 判断正误(T/F)。

6.

  张某由于挪用公款,被本单位职工王某揭发,因此对王某怀恨在心。张某先后写了13封信诬告王某贪污公款,要求依法严惩王某。检察院反贪污贿赂局对王某进行了审查,认定王某不存在贪污事实。于是,王某以张某诬告毁坏自己名誉为由将其起诉至法院,法院依法判处张某有期徒刑2年。

7.

  张某由于挪用公款,被本单位职工王某揭发,因此对王某怀恨在心。张某先后写了13封信诬告王某贪污公款,要求依法严惩王某。检察院反贪污贿赂局对王某进行了审查,认定王某不存在贪污事实。于是,王某以张某诬告毁坏自己名誉为由将其起诉至法院,法院依法判处张某有期徒刑2年。

8.

句型转换

9.

句型转换

10.

句型转换

11.

已知2x2+3y2+6z2=a,x+y+z=a﹣2,则实数a的取值范围是{#blank#}1{#/blank#} 

12.

完成句子

(1)汤姆没完成作业, 杰克也没完成。

Tom didn’t {#blank#}1{#/blank#} his homework, Jack didn’t, {#blank#}2{#/blank#}.

(2)首先, 你要努力学习。其次, 保持身体健康。最后, 要与他人和睦相处。

{#blank#}3{#/blank#}, you should work hard. Then, keep fit. {#blank#}4{#/blank#}, get on well with others.

(3)他指着公共汽车喊道: “看, 车来了”。

He {#blank#}5{#/blank#}  {#blank#}6{#/blank#} the bus and shouted “Look, the bus is coming. ”

(4)小姑娘没拿书包就冲出了教室。

The little girl {#blank#}7{#/blank#} out of the classroom {#blank#}8{#/blank#} her bag.

(5)他轻轻地走进教室, 没有人注意到他。

He {#blank#}9{#/blank#}  {#blank#}10{#/blank#} the classroom quietly and no one {#blank#}11{#/blank#} him.

13.

维护名誉是我们的权利。良好的名誉首先取决于 (  )

14.

刘某与姜某在发生纠纷后,刘某在同事面前大肆捏造事实、中伤姜某,并谎称姜某是“屡教不改的小偷”。姜某以侵犯自己名誉权为由,将刘某起诉至法院。这说明侵害名誉的行为 (  )

①践踏了他人的人格尊严      ②混淆是非、颠倒黑白

③破坏社会道德                  ④是法律所禁止的行为

15.

分数单位是 18 的真分数有{#blank#}1{#/blank#}个,其中最小的是{#blank#}2{#/blank#}

2.单选题(共1题)

16.
已知是空间三条直线,则下列命题正确的是( )
A.若,则
B.若,则
C.若点A、B不在直线上,且到的距离相等,则直线
D.若三条直线两两相交,则直线共面.

3.填空题(共9题)

17.
已知集合,则_____________.
18.
是定义在R上的奇函数,且满足,则实数的取值范围是   .
19.
若奇函数的定义域为,其部分图象如图所示,则不等式的解集是____
20.
已知三条边分别为成等差数列,若,则的最大值为____.
21.
已知等差数列______
22.
两个圆锥有等长的母线,它们的侧面展开图恰好拼成一个圆,若它们的侧面积之比为,则它们的体积比是_____________.
23.
某科技小组有6名同学,现从中选出3人参观展览,至少有1名女生入选的概率为,则小组中女生人数为_____________
24.
用数学归纳法证明“”,在验证成立时,等号左边的式子是______.
25.
执行如图所示的程序框图,若输出的结果是5,则判断框内的取值范围是________________.

4.解答题(共4题)

26.
已知函数
(1)当时,求满足的取值范围;
(2)若的定义域为,又是奇函数,求的解析式,判断其在上的单调性并加以证明.
27.
已知函数的定义域为,求函数的值域和零点.
28.
我们称满足以下两个条件的有穷数列阶“期待数列”;①;②.
(1)若数列的通项公式是,试判断数列是否为2014阶“期待数列”,并说明理由;
(2)若等比数列阶“期待数列”,求公比及数列的通项公式;
(3)若一个等差数列既是()阶“期待数列”又是递增数列,求该数列的通项公式.
29.
如图,已知正方体的棱长为2,分别是的中点.
(1)求三棱锥的体积;
(2)求异面直线EF与AB所成角的大小(结果用反三角函数值表示).
试卷分析
  • 【1】题量占比

    选择题:(15道)

    单选题:(1道)

    填空题:(9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:14