摘要:B. 20090520

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第I卷(选择题 共60分)

一、选择题(每小题5分,共60分)

1―6ADDCAB  7―12CBBCBC

第Ⅱ卷(非选择题 共90分)

二、填空题(每小题4分,共16分)

13.2  14.   15.  16.①②

三、解答题(本大题共6小题,共74分)

17.解:(I)

      

      

          4分

       又    2分

   (II)    

           2分

             1分

      

      

              3分

18.(I)证明:由题意可知CD、CB、CE两两垂直。

       可建立如图所示的空间直角坐标系

       则       2分

       由  1分

      

       又平面BDF,

       平面BDF。       2分

   (Ⅱ)解:设异面直线CM与FD所成角的大小为

      

      

      

       即异面直线CM与FD所成角的大小为   3分

   (III)解:平面ADF,

       平面ADF的法向量为      1分

       设平面BDF的法向量为

       由

            1分

      

          1分

       由图可知二面角A―DF―B的大小为   1分

19.解:(I)设该小组中有n个女生,根据题意,得

      

       解得n=6,n=4(舍去)

       该小组中有6个女生。        6分

   (Ⅱ)由题意,甲、乙、丙3人中通过测试的人数不少于2人,

       即通过测试的人数为3人或2人。

       记甲、乙、丙通过测试分别为事件A、B、C,则

      

            6分

20.解:(I)的等差中项,

             1分

      

             2分

                1分

   (Ⅱ)

               2分

      

          3分

       ,   

       当且仅当时等号成立。

      

21.解:(I)到渐近线=0的距离为,两条准线之间的距离为1,

               3分

            1分

   (II)由题意,设

       由     1分

            3分

   (III)由双曲线和ABCD的对称性,可知A与C、B与D关于原点对称。

       而   

       1分

       点O到直线的距离   1分

              1分

             1分

22.解:(I)当t=1时,   1分

       当变化时,的变化情况如下表:

      

(-1,1)

1

(1,2)

0

+

极小值

       由上表,可知当    2分

            1分

   (Ⅱ)

      

       显然的根。    1分

       为使处取得极值,必须成立。

       即有    2分

      

       的个数是2。

   (III)当时,若恒成立,

       即   1分

      

       ①当时,

      

       上单调递增。

      

      

       解得    1分

       ②当时,令

       得(负值舍去)。

   (i)若时,

       上单调递减。

      

      

           1分

   (ii)若

       时,

       当

       上单调递增,

      

       要使,则

      

            2分

   (注:可证上恒为负数。)

       综上所述,t的取值范围是。        1分

 

第三部分:阅读理解(共20小题,每题2分,满分40分)

阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项。

It was one of the happiest times of my life. I was 29 and had just received my bachelor’s degree, graduating with honors despite working two jobs and being a wife and mother. My parents and five - year - old son were in the audience when I walked onto the stage at Ashland University to get my diploma. I was so excited and proud to be starting a teaching career and contributing more to my family’s well - being.

But when I got home that evening, there was a note from my husband written on the back of an envelope. It basically said he’d come to get his clothes and wouldn't be back. We’d been having trouble, but the finality of that note still came as a shock. He had emptied our bank account. We were horribly in debt. I had quit my previous jobs in expectation of interviewing for a teaching position. I was embarrassed, scared, and angry and felt I had failed.

But I had my son, and I was about to bring a new life into the world, so despite my deep sadness, I had to go on. The next morning, I woke up, put my feet on the floor, took a deep breath, fixed breakfast, and basically did everything I always did. I used my routine to keep me moving. One small step after one small step was the way I bounced back.

And in the seven years since, I've continued moving forward. I got a job as a kindergarten teacher, earned a master' s degree in education. I certainly would never have chosen to put them through this, but I'm glad it happened to me when looking back. It helped me find my voice and myself a lot sooner. It helped me grow independent, confident, and strong—things I' m hopefully developing gradually now in my child.

1.It was one of the author's happiest times because ____.

A.she became a good wife and got two jobs

B.she had just received her bachelor's degree

C.she had been a teacher at Ashland University

D.she was proud to be loved by her family

2.From the second paragraph we can learn the author ____.

A.had run out of her money and was in debt

B.had interviewed for a teaching position

C.had a bad relationship with her husband

D.had got a paper of ending her marriage

3.The author did everything as usual because ____.

A.she wanted to use her routine to move forward

B.she wanted to get a good job as a teacher

C.she felt she had failed and was very sad

D.she had to support her mother and child

4.What does the author think of the failure she faced?

A.It was possible to live without failing at something.

B.It made her become embarrassed, scared, and angry .

C.It made her give up hope and didn't bounce back.

20090520

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第三部分:阅读理解(共20小题,每题2分,满分40分)
阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项。
It was one of the happiest times of my life. I was 29 and had just received my bachelor’s degree, graduating with honors despite working two jobs and being a wife and mother. My parents and five - year - old son were in the audience when I walked onto the stage at Ashland University to get my diploma. I was so excited and proud to be starting a teaching career and contributing more to my family’s well - being.
But when I got home that evening, there was a note from my husband written on the back of an envelope. It basically said he’d come to get his clothes and wouldn't be back. We’d been having trouble, but the finality of that note still came as a shock. He had emptied our bank account. We were horribly in debt. I had quit my previous jobs in expectation of interviewing for a teaching position. I was embarrassed, scared, and angry and felt I had failed.
But I had my son, and I was about to bring a new life into the world, so despite my deep sadness, I had to go on. The next morning, I woke up, put my feet on the floor, took a deep breath, fixed breakfast, and basically did everything I always did. I used my routine to keep me moving. One small step after one small step was the way I bounced back.
And in the seven years since, I've continued moving forward. I got a job as a kindergarten teacher, earned a master' s degree in education. I certainly would never have chosen to put them through this, but I'm glad it happened to me when looking back. It helped me find my voice and myself a lot sooner. It helped me grow independent, confident, and strong—things I' m hopefully developing gradually now in my child.
1.It was one of the author's happiest times because ____.
A.she became a good wife and got two jobs
B.she had just received her bachelor's degree
C.she had been a teacher at Ashland University
D.she was proud to be loved by her family
2.From the second paragraph we can learn the author ____.
A.had run out of her money and was in debt
B.had interviewed for a teaching position
C.had a bad relationship with her husband
D.had got a paper of ending her marriage
3.The author did everything as usual because ____.
A.she wanted to use her routine to move forward
B.she wanted to get a good job as a teacher
C.she felt she had failed and was very sad
D.she had to support her mother and child
4.What does the author think of the failure she faced?
A.It was possible to live without failing at something.
B.It made her become embarrassed, scared, and angry .
C.It made her give up hope and didn't bounce back.

20090520

 
D.It had a positive and beneficial influence on her.

5.The passage mainly wants to teach us ____.
A.how to learn from failure            B.how to become a good woman
C.how to earn a master' s degree   D.how to bring up our children

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