2018届广州市高三年级调研测试
文科数学
2017．12
本试卷共5页，23小题，满分150分。考试用时120分钟。
注意事项：1．本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。答卷前，考生务必将自己的姓名和考生号、试室号、座位号填写在答题卡上，并用2B铅笔在答题卡的相应位置填涂考生号。
2．作答第Ⅰ卷时，选出每小题答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑；如需改动，用橡皮擦干净后，再选涂其他答案。写在本试卷上无效。
3．第Ⅱ卷必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内的相应位置上；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液。不按以上要求作答无效。
4．考生必须保持答题卡的整洁。考试结束后，将试卷和答题卡一并交回。
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，只有一项是符合题目要求的．
1．设集合![](https://wkrtcs.bdimg.com/rtcs/image?w=66.666666666667&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"66.666666666667","h":"66.666666666667","dataType":"gif","c":"word/media/image3.png"})
，，则
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=33.466666666667&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"33.466666666667","h":"26.8","dataType":"gif","c":"word/media/image7.png"})
B． C． D．
2．若复数![](https://wkrtcs.bdimg.com/rtcs/image?w=13.4&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"13.4","h":"13.4","dataType":"gif","c":"word/media/image11.png"})
满足，则
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=15.6&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"15.6","h":"41.333333333333","dataType":"gif","c":"word/media/image14.png"})
B． C． D．
3．已知![](https://wkrtcs.bdimg.com/rtcs/image?w=15.6&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"15.6","h":"14.533333333333","dataType":"gif","c":"word/media/image18.png"})
为锐角，，则
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=14.533333333333&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"14.533333333333","h":"42.4","dataType":"gif","c":"word/media/image21.png"})
B． C． D．
4．设命题![](https://wkrtcs.bdimg.com/rtcs/image?w=15.6&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"15.6","h":"17.866666666667","dataType":"gif","c":"word/media/image25.png"})
：，，命题：，，则下列命题中是真命题的是
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=36.866666666667&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"36.866666666667","h":"17.866666666667","dataType":"gif","c":"word/media/image31.png"})
B． C． D．
5．已知变量![](https://wkrtcs.bdimg.com/rtcs/image?w=13.4&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"13.4","h":"14.533333333333","dataType":"gif","c":"word/media/image35.png"})
，满足则的最大值为
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=12.266666666667&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"12.266666666667","h":"19","dataType":"gif","c":"word/media/image39.png"})
B． C． D．
6．如图所示，四个相同的直角三角形与中间的小正方形拼成一个边长为![](https://wkrtcs.bdimg.com/rtcs/image?w=13.4&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"13.4","h":"17.866666666667","dataType":"gif","c":"word/media/image43.png"})
的大正方形，直角三角形中较小的锐角．若在该大正方形区域内随机地取一点，则该点落在中间小正方形内的概率是
![](https://wkrtcs.bdimg.com/rtcs/image?w=117.33333333333&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"117.33333333333","h":"115.73333333333","dataType":"png","c":"word/media/image45_1.png","imgOriW":324,"imgOriH":320})
A． B．
C．![](https://wkrtcs.bdimg.com/rtcs/image?w=15.6&md5sum=3436f79d43cb03c80737c1482e2edda2&sign=e13db52922&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=110&ipr={"t":"img","w":"15.6","h":"42.4","dataType":"gif","c":"word/media/image48.png"})
D．
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