2015-2016学年四川成都七中高二10月段考理科数学试卷(带解析)

适用年级:高二
试卷号:573781

试卷类型:月考
试卷考试时间:2015/11/30

1.单选题(共8题)

1.
已知变量满足约束条件,则的最小值为()
A.B.C.8D.
2.
实数满足①;②;③这三个条件,则的范围是()
A.B.
C.D.
3.
如图是一个几何体的三视图,根据图中数据,可得该几何体的表面积是( )
A.12πB.11πC.10πD.9π
4.
若圆上至少有三个不同的点,到直线的距离为,则取值范围为()
A.B.C.D.
5.
过不重合的两点的直线倾斜角为,则的取值为()
A.B.C.D.
6.
平面上到定点距离为且到定点距离为的直线共有条,则的取值范是()
A.B.C.D.
7.
l沿轴向左平移个单位,再沿轴向上平移个单位后,回到原来位置,则直线l的斜率为()
A.B.一C.D.
8.
已知圆,圆,圆与圆的位置关系为()
A.外切B.内切
C.相交D.相离

2.选择题(共1题)

9.

阅读下列四篇短文,从每小题后所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该选项涂黑。

    The traditional holiday is the most important to Chinese both home and abroad.

                                                                                               United Kingdom

Celebrations for Spring Festival in the UK started in 1980, with the first evening party held in 2002. Every new year, people get together and have a lot of activities. They sing songs, dance to music, share photos with friends or enjoy films in a cinema.

                                                                                                   United States

Spring Festival has become a key time for Chinese living or working in the US. They join in a large evening party to welcome the traditional new year. It is a good chance for people to build a circle of friends and feel that they are not alone because they share the same culture and values.

                                                                                                       Australia

    The Chinese new year will be welcomed with three weeks of celebrations across Australia. Many people come to Sydney's Chinatown or Little Bourke in Melbourne. They enjoy fireworks,  lion dances,  dragon boat races and many other traditional activities.  The celebrations are also a bridge towards better understanding between Chinese and non-Chinese.

                                                                                                      Singapore

    The family dinner on new year's eve is an important tradition for Chinese whether they were born in Singapore or moved there from China. They place traditional food on a table as an act of remembering their past. Then the whole family enjoy their dinner together. They usually hold it at home because having it in a restaurant takes away the meaning of the tradition.

3.填空题(共2题)

10.
如图,一根木棒长为米,斜靠在墙壁上,,若滑动至位置,且米,则中点所经过的路程为    
11.
直线被圆截得弦的长为  

4.解答题(共5题)

12.
定义区间的区间长度为,如图是某圆拱形桥一孔圆拱的示意图.这个圆的圆拱跨度,拱高,建造时每间隔需要用一根支柱支撑,求支柱的高度所处的区间.(要求区间长度为
13.
已知点直角坐标平面上一动点,是平面上的定点:
(1)时,求的轨迹方程;
(2)当在线段上移动,求的最大值及点坐标.
14.
己知的顶点边上的中线所在的直线方程为边上的高所在直线方程为,求:
(1)直线方程
(2)顶点的坐标
(3)直线的方程
15.
已知圆心为C的圆经过点A(1,1)和B(2,–2),且圆心C在直线l上,求该圆的标准方程.
16.
己知圆和直线,在轴上有一点,在圆上有不与重合的两动点,设直线斜率为,直线斜率为,直线斜率为
(l)若
①求出点坐标;
,求证:以为直径的圆,总过定点,并求出定点坐标.
(2)若:判断直线是否经过定点,若有,求出来,若没有,请说明理由.
试卷分析
  • 【1】题量占比

    单选题:(8道)

    选择题:(1道)

    填空题:(2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:15