2013-2014学年辽宁沈阳二中高二12月月考文科数学试卷(带解析)

适用年级:高二
试卷号:656034

试卷类型:月考
试卷考试时间:2017/7/19

1.选择题(共6题)

1.已知抛物线经过点P(4,﹣2),则其标准方程是{#blank#}1{#/blank#}.
2.已知抛物线经过点P(4,﹣2),则其标准方程是{#blank#}1{#/blank#}.
3.

阅读下面材料,在空白处填入适当的内容(不多于3个单词)或括号内单词的正确形式。

注意:答案必须写在答题卡相应的横线上。

    One morning, I was waiting at the bus stop, worried about {#blank#}1{#/blank#} (be) late for school. There were many people waiting at the bus stop, {#blank#}2{#/blank#} some of them looked very anxious and {#blank#}3{#/blank#}(disappoint). When the bus finally came, we all hurried on board. I got a place next {#blank#}4{#/blank#} the window, so I had a good view of the sidewalk. A boy on a bike {#blank#}5{#/blank#} (catch) my attention. He was riding beside the bus and waving his arms. I heard a passenger behind me shouting to the driver, but he refused {#blank#}6{#/blank#}(stop) until we reached the next stop. Still, the boy kept {#blank#}7{#/blank#}(ride). He was carrying something over his shoulder and shouting. Finally, when we came to the next stop, the boy ran up the door of the bus. I heard an excited conversation. Then the driver stood up and asked,“{#blank#}8{#/blank#} anyone lose a suitcase at the last stop?” A woman on the bus shouted, “Oh, dear! It's {#blank#}9{#/blank#} (I)”. She pushed her way to the driver and took the suitcase thankfully. Five others on the bus began talking about what the boy had done and the crowd of strangers {#blank#}10{#/blank#}(sudden) became friendly to one another.

4.

阅读下面短文,从短文后各题所给的四个选项(A、B、C和D)中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。

    Katy and I have been friends since college, for more than thirty years. Our friendship has 1 constant(不变的). We have seen each other through all the times when we really need a friend. In 2 of our friendship, Katy and I took our first 3 trip together.

    The first day of our trip ended in Santa Fe, New Mexico. 4 with the long drive, we decided to go to the restaurant for dinner. We sat down and 5our meal. As we talked, I noticed a(n)6 couple sitting a short distance away from us. The look of 7 on the woman's face attracted me.. She stared into the face of the man as he talked, 8 me of a teenager in love!

    I called Katy's 9 to the couple. As we watched, the man reached 10 to place a gentle kiss on the woman's cheek. She 11. “Now that's what I call real love! I imagine they've been married for a long time.” I said. “12 maybe,” remarked Katy, “They haven't been together long.” “Well, whatever the case, it's 13 they care much for each other,” I said.

    Katy and I watched and listened 14 to their conversation. She smiled and 15 whatever he said. We were touched by the warm scene we were witnessing (看到). Then the 16 changed. The woman's wrinkled but beautiful face was suddenly covered with a 17 look. She asked the man in a sweet voice, “Do I know you? What is this place?” “You know me. I'm Ralph, your husband. We're in Santa Fe,” the man said. “Oh, I 18 to have forgotten. I'm not sure,” she said. “That's okay, sweetheart. You'll be all right,” he 19 her, kissing her cheek again. Tears coursed down our cheeks as Katy and I looked at each other. “We were right,” she said 20. “It is the real thing. That is love.”

5.

阅读下面短文,从短文后各题所给的四个选项(A、B、C和D)中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。

    Katy and I have been friends since college, for more than thirty years. Our friendship has 1 constant(不变的). We have seen each other through all the times when we really need a friend. In 2 of our friendship, Katy and I took our first 3 trip together.

    The first day of our trip ended in Santa Fe, New Mexico. 4 with the long drive, we decided to go to the restaurant for dinner. We sat down and 5our meal. As we talked, I noticed a(n)6 couple sitting a short distance away from us. The look of 7 on the woman's face attracted me.. She stared into the face of the man as he talked, 8 me of a teenager in love!

    I called Katy's 9 to the couple. As we watched, the man reached 10 to place a gentle kiss on the woman's cheek. She 11. “Now that's what I call real love! I imagine they've been married for a long time.” I said. “12 maybe,” remarked Katy, “They haven't been together long.” “Well, whatever the case, it's 13 they care much for each other,” I said.

    Katy and I watched and listened 14 to their conversation. She smiled and 15 whatever he said. We were touched by the warm scene we were witnessing (看到). Then the 16 changed. The woman's wrinkled but beautiful face was suddenly covered with a 17 look. She asked the man in a sweet voice, “Do I know you? What is this place?” “You know me. I'm Ralph, your husband. We're in Santa Fe,” the man said. “Oh, I 18 to have forgotten. I'm not sure,” she said. “That's okay, sweetheart. You'll be all right,” he 19 her, kissing her cheek again. Tears coursed down our cheeks as Katy and I looked at each other. “We were right,” she said 20. “It is the real thing. That is love.”

6.抛物线y=﹣ {#mathml#}18{#/mathml#} x2的准线方程是(   )

2.单选题(共5题)

7.
下列四个条件中,p是q的必要不充分条件的是 ( )
A.p:a>b q:a2>b2
B.p:a>b q:2a>2b
C.p:ax2+by2=c为双曲线 q:ab<0
D.p:ax2+bx+c>0 q:+a>0
8.
下列命题:①至少有一个x使x2+2x+1=0成立;②对任意的x都有x2+2x+1=0成立;
③对任意的x都有x2+2x+1=0不成立;④存在x使x2+2x+1=0成立.
其中是全称命题的有(  )
A.1个B.2个C.3个D.0个
9.
已知椭圆分别为其左、右焦点,椭圆上一点的距离是2,的中点,则的长为(   )
A.1B.2C.3D.4
10.
已知△ABC的顶点BC在椭圆y2=1上,顶点A是椭圆的一个焦点,且椭圆的另外一个焦点在BC边上,则△ABC的周长是(    )
A.2B.6 C.4D.12
11.
已知椭圆和双曲线有公共的焦点,那么双曲线的渐近线方程为
A.B.C.D.

3.填空题(共1题)

12.
设有两个命题:①关于的不等式的解集是R;②函数是减函数,如果这两个命题中有且只有一个是真命题,则实数的取值范围是

4.解答题(共2题)

13.
已知椭圆的方程是,双曲线的左右焦点分别为的左右顶点,而的左右顶点分别是的左右焦点.
(1)求双曲线的方程;
(2)若直线与双曲线恒有两个不同的交点,且的两个交点A和B满足,求的取值范围.
14.
已知双曲线方程.
(1)求以A(2,1)为中点的双曲线的弦所在的直线方程;
(2)过点(1,1)能否作直线l,使l与双曲线交于两点,且两点的中点为(1,1)?如果存在,求出它的方程;如果不存在,说明理由.
试卷分析
  • 【1】题量占比

    选择题:(6道)

    单选题:(5道)

    填空题:(1道)

    解答题:(2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:8