![](https://wkrtcs.bdimg.com/rtcs/image?w=49.333333333333&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"49.333333333333","h":"45.333333333333","dataType":"png","c":"word/media/image1.png","imgOriW":37,"imgOriH":34})
2019年普通高等学校招生全国统一考试
文科数学
注意事项：
1．答卷前，考生务必将自己的姓名和准考证号填写在答题卡上。
2．回答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再选涂其它答案标号。回答非选择题时，将答案写在答题卡上。写在本试卷上无效。
3．考试结束后，将本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．已知集合![](https://wkrtcs.bdimg.com/rtcs/image?w=67.333333333333&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"67.333333333333","h":"22.933333333333","dataType":"gif","c":"word/media/image2.png"})
，，则
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=44.4&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"44.4","h":"22.933333333333","dataType":"gif","c":"word/media/image5.png"})
B． C． D．
2．设![](https://wkrtcs.bdimg.com/rtcs/image?w=74.533333333333&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"74.533333333333","h":"37.266666666667","dataType":"gif","c":"word/media/image9.png"})
，则
A．0 B．![](https://wkrtcs.bdimg.com/rtcs/image?w=14.333333333333&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"14.333333333333","h":"37.266666666667","dataType":"gif","c":"word/media/image11.png"})
C． D．
3．某地区经过一年的新农村建设，农村的经济收入增加了一倍．实现翻番．为更好地了解该地区农村的经济收入变化情况，统计了该地区新农村建设前后农村的经济收入构成比例．得到如下饼图：
![](https://wkrtcs.bdimg.com/rtcs/image?w=514.4&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"514.4","h":"157.6","dataType":"jpeg","c":"word/media/image14.png","imgOriW":3221,"imgOriH":984})
则下面结论中不正确的是
A．新农村建设后，种植收入减少
B．新农村建设后，其他收入增加了一倍以上
C．新农村建设后，养殖收入增加了一倍
D．新农村建设后，养殖收入与第三产业收入的总和超过了经济收入的一半
4．已知椭圆![](https://wkrtcs.bdimg.com/rtcs/image?w=15.733333333333&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"15.733333333333","h":"18.6","dataType":"gif","c":"word/media/image15.png"})
：的一个焦点为，则的离心率为
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=12.866666666667&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"12.866666666667","h":"37.266666666667","dataType":"gif","c":"word/media/image18.png"})
B． C． D．
5．已知圆柱的上、下底面的中心分别为![](https://wkrtcs.bdimg.com/rtcs/image?w=18.6&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"18.6","h":"24.333333333333","dataType":"gif","c":"word/media/image21.png"})
，，过直线的平面截该圆柱所得的截面是面积为8的正方形，则该圆柱的表面积为
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=41.533333333333&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"41.533333333333","h":"21.466666666667","dataType":"gif","c":"word/media/image24.png"})
B． C． D．
6．设函数![](https://wkrtcs.bdimg.com/rtcs/image?w=151.86666666667&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"151.86666666667","h":"24.333333333333","dataType":"gif","c":"word/media/image28.png"})
．若为奇函数，则曲线在点处的切线方程为
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=50.133333333333&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"50.133333333333","h":"20.066666666667","dataType":"gif","c":"word/media/image32.png"})
B． C． D．
7．在△![](https://wkrtcs.bdimg.com/rtcs/image?w=34.4&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"34.4","h":"18.6","dataType":"gif","c":"word/media/image36.png"})
中，为边上的中线，为的中点，则
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=78.8&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"78.8","h":"37.266666666667","dataType":"gif","c":"word/media/image41.png"})
B．
C．![](https://wkrtcs.bdimg.com/rtcs/image?w=78.8&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"78.8","h":"37.266666666667","dataType":"gif","c":"word/media/image43.png"})
D．
8．已知函数![](https://wkrtcs.bdimg.com/rtcs/image?w=174.8&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"174.8","h":"27.2","dataType":"gif","c":"word/media/image45.png"})
，则
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=38.666666666667&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"38.666666666667","h":"27.2","dataType":"gif","c":"word/media/image46.png"})
的最小正周期为π，最大值为3
B． 的最小正周期为π，最大值为4
C． 的最小正周期为，最大值为3
D．的最小正周期为，最大值为4
![](https://wkrtcs.bdimg.com/rtcs/image?w=153.06666666667&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"153.06666666667","h":"108.8","dataType":"jpeg","c":"word/media/image48.png","imgOriW":351,"imgOriH":249})
9．某圆柱的高为2，底面周长为16，其三视图如右图．圆柱表面上的点在正视图上的对应点为，圆柱表面上的点在左视图上的对应点为，则在此圆柱侧面上，从到的路径中，最短路径的长度为
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=35.8&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"35.8","h":"21.466666666667","dataType":"gif","c":"word/media/image53.png"})
B．
C．![](https://wkrtcs.bdimg.com/rtcs/image?w=11.466666666667&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"11.466666666667","h":"17.2","dataType":"gif","c":"word/media/image55.png"})
D．2
10．在长方体![](https://wkrtcs.bdimg.com/rtcs/image?w=118.93333333333&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"118.93333333333","h":"24.333333333333","dataType":"gif","c":"word/media/image56.png"})
中，，与平面所成的角为，则该长方体的体积为
A．![](https://wkrtcs.bdimg.com/rtcs/image?w=11.466666666667&md5sum=309107dc9d42209e01f6a4fd225c7508&sign=c2bfec86dc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=154&ipr={"t":"img","w":"11.466666666667","h":"18.6","dataType":"gif","c":"word/media/image61.png"})
B． C． D．
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