山东省青岛经济技术开发区第一中学2015届高三10月检测数学理试题
第I卷（选择题 共50分）
一、选择题：本题共12小题，每小题5分，共60分；在每小题给出的四个选项中只有一个是符合题目要求的.
1．设全集为![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"16","h":"17","dataType":"gif","c":"word/media/image1.png"})
，集合，则( )
![](https://wkrtcs.bdimg.com/rtcs/image?w=60&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"60","h":"21","dataType":"gif","c":"word/media/image4.png"})
2.已知命题![](https://wkrtcs.bdimg.com/rtcs/image?w=408&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"408","h":"48","dataType":"gif","c":"word/media/image8.png"})
在区间递增的充分但不必要条件.给出下列结论：①命题“”是真命题；②命题“”是真命题；③命题“”是真命题；④命题“”是假命题。其中正确说法的序号是 （ ）
A.②④ B.②③ C.②③④ D.①②③④
3、已知函数![](https://wkrtcs.bdimg.com/rtcs/image?w=142&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"142","h":"50","dataType":"wmf","c":"word/media/image14.png","imgOriW":284,"imgOriH":100})
若,则等于（ ）
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=20&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"20","h":"17","dataType":"wmf","c":"word/media/image17.png","imgOriW":40,"imgOriH":34})
或 B． C． D．1或
4、 已知角![](https://wkrtcs.bdimg.com/rtcs/image?w=12&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"12","h":"16","dataType":"gif","c":"word/media/image22.png"})
的顶点与原点重合，始边与轴的正半轴重合，终边在直线上，则( )
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=23&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"23","h":"37","dataType":"gif","c":"word/media/image26.png"})
B. C. D.
![](https://wkrtcs.bdimg.com/rtcs/image?w=229&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"229","h":"127.66666666667","dataType":"jpeg","c":"word/media/image30.png","imgOriW":229,"imgOriH":127})
5、函数的图象如图所示，为了得到的图象，只需将的图象（ ）
A.向右平移![](https://wkrtcs.bdimg.com/rtcs/image?w=17&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"17","h":"41","dataType":"gif","c":"word/media/image34.png"})
个单位 B.向左平移个单位
C.向右平移![](https://wkrtcs.bdimg.com/rtcs/image?w=21&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"21","h":"41","dataType":"gif","c":"word/media/image35.png"})
个单位 D.向左平移个单位
6、已知![](https://wkrtcs.bdimg.com/rtcs/image?w=36&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"36","h":"21","dataType":"gif","c":"word/media/image36.png"})
是定义在(－∞，＋∞)上的偶函数，且在(－∞，0]上是增函数，设，，，则的大小关系是( )
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=60&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"60","h":"19","dataType":"gif","c":"word/media/image41.png"})
B. C. D.
7、函数![](https://wkrtcs.bdimg.com/rtcs/image?w=101&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"101","h":"27","dataType":"gif","c":"word/media/image45.png"})
的图象大致形状是（ ）
![](https://wkrtcs.bdimg.com/rtcs/image?w=527&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"527","h":"137","dataType":"png","c":"word/media/image46.png","imgOriW":527,"imgOriH":137})
8、已知R上可导函数f(x)的图象如图所示，则不等式(x2－2x－3)f’(x)>0的解集为 ( )
![](https://wkrtcs.bdimg.com/rtcs/image?w=170&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"170","h":"76","dataType":"png","c":"word/media/image47.png","imgOriW":1063,"imgOriH":472})
A．(－∞，－2)∪(1，＋∞)
B．(－∞，－2)∪(1,2)
C．(－∞，－1)∪(－1,0)∪(2，＋∞)
D．(－∞，－1)∪(－1,1)∪(3，＋∞)
9、在△![](https://wkrtcs.bdimg.com/rtcs/image?w=37&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"37","h":"19","dataType":"gif","c":"word/media/image48.png"})
中,角所对的边分别为,且满足,则的最大值是( )
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=9&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"9","h":"17","dataType":"gif","c":"word/media/image52.png"})
B. C. D. 2
10.已知定义在R上的函数![](https://wkrtcs.bdimg.com/rtcs/image?w=61&md5sum=f727f0e3c75607b78988656783736f05&sign=8cbd68c6c1&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=47&ipr={"t":"img","w":"61","h":"21","dataType":"wmf","c":"word/media/image55.png","imgOriW":122,"imgOriH":42})
对任意的都满足，当时，，若函数至少6个零点，则取值范围是（ ）
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