浙江省嘉兴三中2018-2019学年高二上学期第一次阶段测试数学试卷

适用年级:高二
试卷号:596095

试卷类型:月考
试卷考试时间:2018/11/7

1.单选题(共10题)

1.
满足,则的最大值为()
A.0B.3C.4D.5
2.
实数满足,使取得最大值的最优解有两个,则的最小值为(   )
A.0B.-2C.1D.-1
3.
不等式表示的平面区域(阴影部分)为(   )
A.B.C.D.
4.
若直线被圆所截得的弦长为,则实数的值为(    )
A.B.C.D.
5.
过点(-1,3)且平行于直线x-2y+3=0的直线方程为(  )
A.2x+y-1=0B.x-2y+7=0
C.x-2y-5=0D.2x+y-5=0
6.
直线lxy=1与圆Cx2y2-4x=0的位置关系是(  )
A.相离B.相切C.相交D.无法确定
7.
已知直线l的方程为y=-x+1,则直线l的倾斜角为()
A.30°B.45°C.60°D.135°
8.
设点A(2,-3),B(-3,-2),直线l过P(1,1)且与线段AB相交,则l的斜率k的取值范围是(  )
A.k≥,或k≤-4B.-4≤k≤C.-≤k≤4D.以上都不对
9.
点A(2,-3)关于点B(-1,0)的对称点A′的坐标是(  )
A.(5,-6)B.(-4,3)C.(3,-3)D.
10.
方程x2+y2+x+y-m=0表示一个圆,则m的取值范围是(  )
A.m>-B.m<-C.m≤-D.m≥-

2.选择题(共2题)

11.根据短文内容,选择最佳答案。

    Zhang Lin is a middle school student. He is a good boy. Uncle Wu lives next to him. Uncle Wu has no child and can't see anything. He works in the factory (工厂) near Zhang Lin's school. He goes to work at 7:30 in the morning and comes home at 4:30 in the afternoon. Zhang Lin walks to school at 8:00 in the morning and comes home at the same time as Uncle Wu in the afternoon. On weekdays Zhang Lin gets up early to take Uncle Wu to the factory. After school he takes him home. On Sundays Zhang Lin helps Uncle Wu clean the house and do some cooking. Uncle Wu thanks Zhang Lin very much. He says, “Zhang Lin is a good boy. He is like my son.”

12.根据短文内容,选择最佳答案。

    Zhang Lin is a middle school student. He is a good boy. Uncle Wu lives next to him. Uncle Wu has no child and can't see anything. He works in the factory (工厂) near Zhang Lin's school. He goes to work at 7:30 in the morning and comes home at 4:30 in the afternoon. Zhang Lin walks to school at 8:00 in the morning and comes home at the same time as Uncle Wu in the afternoon. On weekdays Zhang Lin gets up early to take Uncle Wu to the factory. After school he takes him home. On Sundays Zhang Lin helps Uncle Wu clean the house and do some cooking. Uncle Wu thanks Zhang Lin very much. He says, “Zhang Lin is a good boy. He is like my son.”

3.填空题(共5题)

13.
已知满足约束条件,则的取值范围是___________
14.
已知点,在中,边上的中线所在的直线方程是______;
15.
经过点A(1,1)且在两条坐标轴上的截距相等的直线方程是________.
16.
直线ykx+2与圆x2y2+2x=0只在第二象限有公共点,则 k的取值范围是___________
17.
x2y2x-3y=0的半径是________________

4.解答题(共3题)

18.
已知P(3,2),一直线过点P,
①若直线在两坐标轴上截距之和为12,求直线的方程;
②若直线与x、y轴正半轴交于A、B两点,当面积为12时求直线的方程.
19.
已知两条直线
(1)若,求实数的值;
(2)若,求实数的值.
20.
(1)已知点A(-1,-2),B(1,3),P为x轴上的一点,求|PA|+|PB|的最小值;
(2)已知点A(2,2),B(3,4),P为x轴上一点,求||PB|-|PA||的最大值.
试卷分析
  • 【1】题量占比

    单选题:(10道)

    选择题:(2道)

    填空题:(5道)

    解答题:(3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:18