数学期末考试卷
考试时间：90分钟。
一．选择题（每小题4分，共20分）
1．设A={(x，y)|y=－4x+6}，B={(x，y)| y=5x－3}，则A∩B= （ ）
A.{(2，1)} B.{(1，2)} C.{x=1，y=2} D.(2，1)
2．命题“![](https://wkrtcs.bdimg.com/rtcs/image?w=36&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"36","h":"19","dataType":"gif","c":"word/media/image1.png"})
”是命题“”的（ ）条件
A．充分 B．必要 C．充要 D．即不充分也不必要
3、函数![](https://wkrtcs.bdimg.com/rtcs/image?w=96&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"96","h":"45","dataType":"gif","c":"word/media/image3.png"})
的定义域为（ ）
A、[1，2)∪(2，+∞） B、(1，+∞） C、[1，2) D、[1，+∞)
4、函数y=ax2+bx+3在（-∞，-1]上是增函数，在[-1，+∞)上是减函数，则（ ）
A、b>0且a<0 B、b=2a<0 C、b=2a>0 D、a，b的符号不定
5、1,![](https://wkrtcs.bdimg.com/rtcs/image?w=43&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"43","h":"23","dataType":"gif","c":"word/media/image4.png"})
，的大小关系是（ ）
A. > 1 > B. 1 > >
C. > > 1 D. > > 1
二、填空（每小题4分，共20分）
2. 设全集U={![](https://wkrtcs.bdimg.com/rtcs/image?w=92&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"92","h":"21","dataType":"gif","c":"word/media/image7.png"})
}, A={2,4} , B={4,5,10},则 , , , 。
4.比较两式的大小, ![](https://wkrtcs.bdimg.com/rtcs/image?w=87&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"87","h":"21","dataType":"gif","c":"word/media/image12.png"})
_____。
7.已知![](https://wkrtcs.bdimg.com/rtcs/image?w=91&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"91","h":"47","dataType":"gif","c":"word/media/image14.png"})
,则,。
10.![](https://wkrtcs.bdimg.com/rtcs/image?w=144&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"144","h":"24","dataType":"gif","c":"word/media/image17.png"})
。
15.如果![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"16","h":"15","dataType":"gif","c":"word/media/image18.png"})
是第二象限角,且,则。
三．判断题（每题2分，共10分）
1、{0}=![](https://wkrtcs.bdimg.com/rtcs/image?w=17&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"17","h":"19","dataType":"gif","c":"word/media/image21.png"})
( )
2、![](https://wkrtcs.bdimg.com/rtcs/image?w=33&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"33","h":"27","dataType":"gif","c":"word/media/image22.png"})
= a ( )
3、f(x) =![](https://wkrtcs.bdimg.com/rtcs/image?w=19&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"19","h":"21","dataType":"gif","c":"word/media/image23.png"})
在实数集内是增函数 （ ）
4、对数函数y=log![](https://wkrtcs.bdimg.com/rtcs/image?w=20&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"20","h":"21","dataType":"gif","c":"word/media/image24.png"})
(a>0，a1)的函数图像都在Y轴的右方 （ ）
5、正弦函数y=sin x ,x![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"13","h":"15","dataType":"gif","c":"word/media/image26.png"})
R是奇函数，余弦函数y=cos x ，xR是偶函数 （ ）
四计算题(每题9分，共18分)
1、已知全集![](https://wkrtcs.bdimg.com/rtcs/image?w=184&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"184","h":"23","dataType":"gif","c":"word/media/image27.png"})
，求。
2、已知二次函数![](https://wkrtcs.bdimg.com/rtcs/image?w=128&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"128","h":"24","dataType":"gif","c":"word/media/image29.png"})
（1） 指出函数图像的开口方向。
（2）![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"13","h":"15","dataType":"gif","c":"word/media/image30.png"})
为何值时，。
（3） 求函数图像。
五．解答题（每题10分，共20分）
1、 求![](https://wkrtcs.bdimg.com/rtcs/image?w=215&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"215","h":"28","dataType":"gif","c":"word/media/image32.png"})
的定义域。
2、求![](https://wkrtcs.bdimg.com/rtcs/image?w=212&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"212","h":"47","dataType":"gif","c":"word/media/image33.png"})
的值
六 证明题（12分）
已知![](https://wkrtcs.bdimg.com/rtcs/image?w=132&md5sum=4bd7a234f7f0c00eb438518719a0973b&sign=c9f6e2aa70&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=21&ipr={"t":"img","w":"132","h":"24","dataType":"gif","c":"word/media/image34.png"})
,求证
本文来源：https://www.2haoxitong.net/k/doc/898b6ca7b0717fd5360cdc79.html
文档为doc格式