天津一中2020-2021-1 高一年级
数学学科期中质量调查试卷
本试卷分为第I卷（选择题）、第II卷（非选择题）两部分共100分，考试用时90分钟
第I卷
一、选择题：（每小题3分，共30分）在每个小题给出的四个选项中，只有一项是符合题目要求的。
1. 已知集合![](https://wkrtcs.bdimg.com/rtcs/image?w=201&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"201","h":"22","c":"442c8027e92636d90a7fcc5cce98d002.png"})
A. 3 B. 4 C. 7 D. 8
2. 命题“![](https://wkrtcs.bdimg.com/rtcs/image?w=153&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"153","h":"22","c":"d55cfe2e628192df09a45b8591a471cf.png"})
A. ![](https://wkrtcs.bdimg.com/rtcs/image?w=181&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"181","h":"27","c":"0f15afa601d1b67c6f9d505ead9ae9fa.png"})
C.![](https://wkrtcs.bdimg.com/rtcs/image?w=193&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"193","h":"27","c":"8284720b5d0511b2105fa51b8a2093fe.png"})
3.下列命题中，不正确的是（）
A. 若![](https://wkrtcs.bdimg.com/rtcs/image?w=85&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"85","h":"20","c":"aa30f593c41c96b82369f634662cbe8f.png"})
C. 若![](https://wkrtcs.bdimg.com/rtcs/image?w=48&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"48","h":"20","c":"f30a8ca0b7598401d1d1b02aa6f9aeff.png"})
4. 若命题” ![](https://wkrtcs.bdimg.com/rtcs/image?w=60&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"60","h":"20","c":"5e88b99186db588f02eaea3642c7e62b.png"})
A. ![](https://wkrtcs.bdimg.com/rtcs/image?w=67&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"67","h":"20","c":"a8d8cdd6dd8c62d75773588a3082820f.png"})
C.![](https://wkrtcs.bdimg.com/rtcs/image?w=75&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"75","h":"20","c":"5ff82022866179309999e73391c8ffea.png"})
5. 若![](https://wkrtcs.bdimg.com/rtcs/image?w=75&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"75","h":"20","c":"0129ea02d92f75001e4db8b9fb9aabbc.png"})
A. 有最小值 1 B.有最大值1
C. 有最小值-1 D.有最大值-1
6.已知![](https://wkrtcs.bdimg.com/rtcs/image?w=132&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"132","h":"43","c":"d6061fd4de645fcf647679bb7f965c51.png"})
A. 15 B. 7 C. 31 D. 17
7.已知![](https://wkrtcs.bdimg.com/rtcs/image?w=88&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"88","h":"43","c":"ab335606e18428086194d59fbff5f9e8.png"})
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=65&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"65","h":"21","c":"1d8345daa46ebd704e0d90ceef4a7c95.png"})
8.已知函数![](https://wkrtcs.bdimg.com/rtcs/image?w=182&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"182","h":"101","c":"47fa27c4fb4b5a93481e0409113117ee.png"})
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=63&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"63","h":"29","c":"df8c75d09a4dac88c241dae69f4ce1f4.png"})
9. 若关于![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"13","h":"20","c":"9dd4e461268c8034f5c8564e155c67a6.png"})
A.![](https://wkrtcs.bdimg.com/rtcs/image?w=120&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"120","h":"20","c":"c5d2f297978e7b7983bad412204b74b5.png"})
C.![](https://wkrtcs.bdimg.com/rtcs/image?w=137&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"137","h":"43","c":"3ae09949d155d9434887ea300ecfcdbc.png"})
10.已知定义域为R的奇函数![](https://wkrtcs.bdimg.com/rtcs/image?w=42&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"42","h":"21","c":"50bbd36e1fd2333108437a2ca378be62.png"})
A. 不存在实数![](https://wkrtcs.bdimg.com/rtcs/image?w=14&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"14","h":"20","c":"8ce4b16b22b58894aa86c421e8759df3.png"})
B.当![](https://wkrtcs.bdimg.com/rtcs/image?w=117&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"117","h":"23","c":"7c26472122eac0c5847589d2602bf055.png"})
C.若当![](https://wkrtcs.bdimg.com/rtcs/image?w=75&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"75","h":"21","c":"89ed770be1eff9369ac89d6f1ab75e22.png"})
D.若关于
第II 卷
二、填空题（每小题4分，共24分）
11. 函数![](https://wkrtcs.bdimg.com/rtcs/image?w=140&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"140","h":"63","c":"dd099b4f676580cc9bc86c1711c44fc9.png"})
12. 若幂函数![](https://wkrtcs.bdimg.com/rtcs/image?w=175&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"175","h":"23","c":"e99e3e1879f811260fd3475a38a82547.png"})
13. 若两个正实数![](https://wkrtcs.bdimg.com/rtcs/image?w=32&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"32","h":"20","c":"f10bc3c94b77e1d6b9f98106daf335c1.png"})
14. 函数![](https://wkrtcs.bdimg.com/rtcs/image?w=203&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"203","h":"80","c":"9c095633e578e1556ab2180732cd1046.png"})
15. 已知
16. 设函数
⑤
三、解答题：（本大题共4个小题共46分，解答应写出文字说明，证明过程或演算步骤。）
17. 设全集![](https://wkrtcs.bdimg.com/rtcs/image?w=45&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"45","h":"20","c":"e8665f12c98bfc350f9884f1e264e855.png"})
(1)求![](https://wkrtcs.bdimg.com/rtcs/image?w=38&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"38","h":"23","c":"e94b3561abc63b373bd2cc2ec8622f51.png"})
(2)若![](https://wkrtcs.bdimg.com/rtcs/image?w=71&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"71","h":"20","c":"b7e03af524e7fa8cdf9dd46f5aa6af21.png"})
18. 已知函数![](https://wkrtcs.bdimg.com/rtcs/image?w=148&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"148","h":"22","c":"8008271459e8c406f895db3b09f91f1f.png"})
(1)![](https://wkrtcs.bdimg.com/rtcs/image?w=66&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"66","h":"20","c":"0777cf2be6b5a3c0c726f0bf281e1517.png"})
(2)当![](https://wkrtcs.bdimg.com/rtcs/image?w=66&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"66","h":"20","c":"0b3d86190245fdcc18dfb6bc9bdbbf90.png"})
19. 已知函数![](https://wkrtcs.bdimg.com/rtcs/image?w=181&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"181","h":"116","c":"c5574dfb22cab886ef0eefa1e347075c.png"})
(1)求实数m的值；
(2)若函数![](https://wkrtcs.bdimg.com/rtcs/image?w=44&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"44","h":"21","c":"c2a5f23e39aed5d88048a49b552c0ea1.png"})
(3)求不等式![](https://wkrtcs.bdimg.com/rtcs/image?w=133&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"133","h":"43","c":"84bd81481fd40462966f8916635fc386.png"})
20. 已知函数 ![](https://wkrtcs.bdimg.com/rtcs/image?w=143&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"143","h":"44","c":"97808a7da1633a0bcfb745f9859d5098.png"})
(1)若![](https://wkrtcs.bdimg.com/rtcs/image?w=130&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"130","h":"21","c":"88b5e89e285cb85af0e697c701b143e8.png"})
(2)当![](https://wkrtcs.bdimg.com/rtcs/image?w=42&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"42","h":"43","c":"a726d057f869a8a7dd4d67e2a02e606d.png"})
(3)若对任意![](https://wkrtcs.bdimg.com/rtcs/image?w=174&md5sum=1b24b05dfae60ee6bffb978147b1b476&sign=db916aa393&rtcs_flag=2&rtcs_ver=4&l=webapp&bucketNum=628&ipr={"t":"img","w":"174","h":"21","c":"8e0f0a7ecfa2a71d2ed683ea58a98e86.png"})
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