萨二中2013—2014学年度第一学期高一年级期中考试
数 学 试 卷
考试时间：2013年11月14日 7:30---9:30 满分：150分
一. 选择题：本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求的。
(1)下列说法正确的个数是﹙ ﹚
① 很小的实数可以构成集合.
②集合![](https://wkrtcs.bdimg.com/rtcs/image?w=90.133333333333&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"90.133333333333","h":"29.2","dataType":"wmf","c":"word/media/image1.png","imgOriW":180,"imgOriH":58})
与相等.
③![](https://wkrtcs.bdimg.com/rtcs/image?w=104.33333333333&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"104.33333333333","h":"45.066666666667","dataType":"wmf","c":"word/media/image3.png","imgOriW":208,"imgOriH":90})
这些数组成的集合有5个元素
(A) 0 (B) 1 (C) 2 (D) 3
(2)下列各组函数中，表示同一函数的是﹙ ﹚
(A)![](https://wkrtcs.bdimg.com/rtcs/image?w=132.73333333333&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"132.73333333333","h":"35.866666666667","dataType":"wmf","c":"word/media/image4.png","imgOriW":265,"imgOriH":71})
(B)
(C)![](https://wkrtcs.bdimg.com/rtcs/image?w=148.6&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"148.6","h":"40.933333333333","dataType":"wmf","c":"word/media/image6.png","imgOriW":297,"imgOriH":81})
(D)
(3)设函数![](https://wkrtcs.bdimg.com/rtcs/image?w=116.06666666667&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"116.06666666667","h":"75.133333333333","dataType":"wmf","c":"word/media/image8.png","imgOriW":232,"imgOriH":150})
，，则的值为（ ）
(A) 1 (B) 0 (C) -1 (D) ![](https://wkrtcs.bdimg.com/rtcs/image?w=15&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"15","h":"15","dataType":"wmf","c":"word/media/image11.png","imgOriW":30,"imgOriH":30})
(4) 若函数![](https://wkrtcs.bdimg.com/rtcs/image?w=39.266666666667&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"39.266666666667","h":"26.733333333333","dataType":"wmf","c":"word/media/image12.png","imgOriW":78,"imgOriH":53})
，则的定义域为﹙ ﹚
(A) ![](https://wkrtcs.bdimg.com/rtcs/image?w=51.733333333333&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"51.733333333333","h":"45.066666666667","dataType":"wmf","c":"word/media/image14.png","imgOriW":103,"imgOriH":90})
(B) (C) (D)
(5) ![](https://wkrtcs.bdimg.com/rtcs/image?w=120.2&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"120.2","h":"45.066666666667","dataType":"wmf","c":"word/media/image18.png","imgOriW":240,"imgOriH":90})
，则使函数的定义域为R且为奇函数的所有的值为（ ）
(A) 1,3 (B) -1,1 (C) -1,3 (D) -1,1,3
(6) 某种产品2012年的价格比2011年降低了20％，2013年又比2012年上涨了20％，则2013年的价格比2011年﹙ ﹚
(A) 上涨了4％ (B) 降低了4％ (C) 不涨也不降 (D) 上涨了10％
(7) 设![](https://wkrtcs.bdimg.com/rtcs/image?w=191.13333333333&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"191.13333333333","h":"55.066666666667","dataType":"wmf","c":"word/media/image21.png","imgOriW":382,"imgOriH":110})
，则的大小关系是（ ）
(A)![](https://wkrtcs.bdimg.com/rtcs/image?w=60.133333333333&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"60.133333333333","h":"18.333333333333","dataType":"wmf","c":"word/media/image23.png","imgOriW":120,"imgOriH":36})
(B) (C) (D)
(8) 若函数![](https://wkrtcs.bdimg.com/rtcs/image?w=64.266666666667&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"64.266666666667","h":"26.733333333333","dataType":"wmf","c":"word/media/image27.png","imgOriW":128,"imgOriH":53})
在区间上的图像为连续不断的一条曲线，则下列说法正确的是﹙ ﹚
(A) 若![](https://wkrtcs.bdimg.com/rtcs/image?w=96.866666666667&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"96.866666666667","h":"26.733333333333","dataType":"wmf","c":"word/media/image29.png","imgOriW":193,"imgOriH":53})
，则不存在实数使得
(B) 若![](https://wkrtcs.bdimg.com/rtcs/image?w=96.866666666667&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"96.866666666667","h":"26.733333333333","dataType":"wmf","c":"word/media/image32.png","imgOriW":193,"imgOriH":53})
，则只存在一个实数使得
(C) 若，则有可能存在实数使得
(D) 若，则有可能不存在实数使得
(9) 如图，平面图形中阴影部分面积![](https://wkrtcs.bdimg.com/rtcs/image?w=15&md5sum=15ac65f1c3777b9eafb90bc3afed3a9f&sign=09e34bf705&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=49&ipr={"t":"img","w":"15","h":"18.333333333333","dataType":"wmf","c":"word/media/image33.png","imgOriW":30,"imgOriH":36})
是的函数，则该函数的图像是﹙ ﹚
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