陕西省澄城中学2018-2019学年高二数学上学期第三次教学质量检测试题
一、选择题（每题5分，共60分）
1.命题“![](https://wkrtcs.bdimg.com/rtcs/image?w=149&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"149","h":"24","dataType":"wmf","c":"word/media/image1.png","imgOriW":298,"imgOriH":48})
"的否定是（ ）
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=149&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"149","h":"24","dataType":"wmf","c":"word/media/image2.png","imgOriW":298,"imgOriH":48})
B.
C. D.
2.设![](https://wkrtcs.bdimg.com/rtcs/image?w=39&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"39","h":"19","dataType":"wmf","c":"word/media/image6.png","imgOriW":78,"imgOriH":38})
,则“”是“”的( )
A.充分而不必要条件 B.必要而不充分条件
C.充要必要条件 D.既不充分也不必要条件
3.已知命题![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"16","h":"17","dataType":"wmf","c":"word/media/image9.png","imgOriW":32,"imgOriH":34})
:对任意,总有""是""的充分不必要条件,则下列命题为真命题的是( )
A. ![](https://wkrtcs.bdimg.com/rtcs/image?w=39&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"39","h":"17","dataType":"wmf","c":"word/media/image14.png","imgOriW":78,"imgOriH":34})
B. C. D.
4.已知![](https://wkrtcs.bdimg.com/rtcs/image?w=60&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"60","h":"27","dataType":"wmf","c":"word/media/image18.png","imgOriW":120,"imgOriH":54})
,,,当或,点的轨迹为( )
A.双曲线和一条直线 B.双曲线和两条直线
C.双曲线一支和一条直线 D.双曲线一支和一条射线
5.若点![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"16","h":"17","dataType":"wmf","c":"word/media/image24.png","imgOriW":32,"imgOriH":34})
到直线的距离比它到点的距离小,则点的轨迹为( )
A.圆 B.椭圆 C.双曲线 D.抛物线
6.已知方程![](https://wkrtcs.bdimg.com/rtcs/image?w=106&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"106","h":"44","dataType":"wmf","c":"word/media/image29.png","imgOriW":212,"imgOriH":88})
表示双曲线,则实数的取值范围是( )
A. ![](https://wkrtcs.bdimg.com/rtcs/image?w=69&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"69","h":"19","dataType":"wmf","c":"word/media/image31.png","imgOriW":138,"imgOriH":38})
B. C. D. 或
7.与曲线![](https://wkrtcs.bdimg.com/rtcs/image?w=77&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"77","h":"44","dataType":"wmf","c":"word/media/image36.png","imgOriW":154,"imgOriH":88})
共焦点,且与曲线共渐近线的双曲线方程为( )
A. ![](https://wkrtcs.bdimg.com/rtcs/image?w=76&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"76","h":"44","dataType":"wmf","c":"word/media/image38.png","imgOriW":152,"imgOriH":88})
B.
C. D.
8.已知![](https://wkrtcs.bdimg.com/rtcs/image?w=45&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","w":"45","h":"19","dataType":"png","c":"word/media/image42.png","imgOriW":45,"imgOriH":19})
的周长是,且,则顶点的轨迹方程是( )
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=125&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","w":"125","h":"44","dataType":"png","c":"word/media/image46.png","imgOriW":125,"imgOriH":44})
B.
C.![](https://wkrtcs.bdimg.com/rtcs/image?w=132&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","w":"132","h":"44","dataType":"png","c":"word/media/image48.png","imgOriW":132,"imgOriH":44})
D.
9.抛物线y=2ax2(a≠0)的焦点是( )
A.(![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"16","h":"40","dataType":"wmf","c":"word/media/image50.png","imgOriW":32,"imgOriH":80})
,0) B.(,0)或(-,0)
C.(0,![](https://wkrtcs.bdimg.com/rtcs/image?w=24&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"24","h":"40","dataType":"wmf","c":"word/media/image51.png","imgOriW":48,"imgOriH":80})
) D.(0,)或(0,-)
10.已知抛物线y2=4x的准线与双曲线![](https://wkrtcs.bdimg.com/rtcs/image?w=75&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"75","h":"44","dataType":"wmf","c":"word/media/image52.png","imgOriW":150,"imgOriH":88})
交于A、B两点,点F是抛物线的焦点,若△FAB为直角三角形,则该双曲线的离心率为( )
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=25&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"25","h":"23","dataType":"wmf","c":"word/media/image53.png","imgOriW":50,"imgOriH":46})
B. C.2 D.
11.设![](https://wkrtcs.bdimg.com/rtcs/image?w=17&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"17","h":"23","dataType":"wmf","c":"word/media/image56.png","imgOriW":34,"imgOriH":46})
、分别是椭圆的左、右焦点,若Q是该椭圆上的一个动点,则的最大值和最小值分别为( )
A.1与-2 B.2与-2 C.1与-1 D.2与-1
12.已知抛物线![](https://wkrtcs.bdimg.com/rtcs/image?w=106&md5sum=94166c0bec3eacce521280634caf3f76&sign=bf9fe7ae1a&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=177&ipr={"t":"img","r":"r_8","w":"106","h":"24","dataType":"wmf","c":"word/media/image60.png","imgOriW":212,"imgOriH":48})
上一点到其焦点的距离为5,双曲线
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