2016高考全国II卷理数
（1）已知![](https://wkrtcs.bdimg.com/rtcs/image?w=135&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"135","h":"21","dataType":"png","c":"word/media/image1_1.png","imgOriW":3232,"imgOriH":512})
在复平面内对应的点在第四象限，则实数m的取值范围是（ ）
（A）![](https://wkrtcs.bdimg.com/rtcs/image?w=41&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"41","h":"21","dataType":"png","c":"word/media/image2_1.png","imgOriW":992,"imgOriH":512})
（B）（C）（D）
【答案】A
![](https://wkrtcs.bdimg.com/rtcs/image?w=569&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"569","h":"131","dataType":"png","c":"word/media/image6_1.png","imgOriW":569,"imgOriH":131})
考点： 复数的几何意义.
（2）已知集合![](https://wkrtcs.bdimg.com/rtcs/image?w=77&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"77","h":"21","dataType":"png","c":"word/media/image7_1.png","imgOriW":1856,"imgOriH":512})
，，则（ ）
（A）![](https://wkrtcs.bdimg.com/rtcs/image?w=21&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"21","h":"21","dataType":"png","c":"word/media/image10_1.png","imgOriW":512,"imgOriH":512})
（B） （C） （D）
【答案】C
【解析】
试题分析：集合![](https://wkrtcs.bdimg.com/rtcs/image?w=208&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"208","h":"21","dataType":"png","c":"word/media/image14_1.png","imgOriW":4175,"imgOriH":423})
，而，所以，故选C.
考点： 集合的运算.
（3）已知向量![](https://wkrtcs.bdimg.com/rtcs/image?w=123&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"123","h":"25","dataType":"png","c":"word/media/image17_1.png","imgOriW":2976,"imgOriH":608})
，且，则m=（ ）
（A）－8 （B）－6 （C）6 （D）8
【答案】D
【解析】
试题分析：向量![](https://wkrtcs.bdimg.com/rtcs/image?w=111&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"111","h":"25","dataType":"png","c":"word/media/image19_1.png","imgOriW":2656,"imgOriH":608})
，由得，解得，故选D.
考点： 平面向量的坐标运算、数量积.
（4）圆![](https://wkrtcs.bdimg.com/rtcs/image?w=163&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"163","h":"24","dataType":"png","c":"word/media/image23_1.png","imgOriW":3438,"imgOriH":507})
的圆心到直线的距离为1，则a=（ ）
（A）![](https://wkrtcs.bdimg.com/rtcs/image?w=27&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"27","h":"41","dataType":"png","c":"word/media/image25_1.png","imgOriW":640,"imgOriH":992})
（B） （C） （D）2
【答案】A
![](https://wkrtcs.bdimg.com/rtcs/image?w=639&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"639","h":"130","dataType":"png","c":"word/media/image28_1.png","imgOriW":639,"imgOriH":130})
考点： 圆的方程、点到直线的距离公式.
（5）如图，小明从街道的E处出发，先到F处与小红会合，再一起到位于G处的老年公寓参加志愿者活动，则小明到老年公寓可以选择的最短路径条数为（ ）
![](https://wkrtcs.bdimg.com/rtcs/image?w=593&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"593","h":"179","dataType":"png","c":"word/media/image29_1.png","imgOriW":593,"imgOriH":179})
（A）24 （B）18 （C）12 （D）9
【答案】B
【解析】
试题分析：由题意，小明从街道的E处出发到F处最短有![](https://wkrtcs.bdimg.com/rtcs/image?w=21&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"21","h":"25","dataType":"png","c":"word/media/image30_1.png","imgOriW":512,"imgOriH":608})
条路，再从F处到G处最短共有条路，则小明到老年公寓可以选择的最短路径条数为条，故选B.
考点： 计数原理、组合.
（6）下图是由圆柱与圆锥组合而成的几何体的三视图，则该几何体的表面积为（ ）
![](https://wkrtcs.bdimg.com/rtcs/image?w=230&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"230","h":"246","dataType":"png","c":"word/media/image33_1.png","imgOriW":230,"imgOriH":246})
（A）![](https://wkrtcs.bdimg.com/rtcs/image?w=32&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"32","h":"19","dataType":"png","c":"word/media/image34_1.png","imgOriW":768,"imgOriH":448})
（B） （C） （D）
【答案】C
![](https://wkrtcs.bdimg.com/rtcs/image?w=647&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"647","h":"114","dataType":"png","c":"word/media/image38_1.png","imgOriW":660,"imgOriH":116})
考点： 三视图，空间几何体的体积.
（7）若将函数![](https://wkrtcs.bdimg.com/rtcs/image?w=77&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"77","h":"21","dataType":"png","c":"word/media/image39_1.png","imgOriW":1856,"imgOriH":512})
的图像向左平移个单位长度，则平移后图象的对称轴为（ ）
（A）![](https://wkrtcs.bdimg.com/rtcs/image?w=125&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"125","h":"41","dataType":"png","c":"word/media/image41_1.png","imgOriW":2327,"imgOriH":767})
（B）
（C）![](https://wkrtcs.bdimg.com/rtcs/image?w=129&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"129","h":"41","dataType":"png","c":"word/media/image43_1.png","imgOriW":2366,"imgOriH":756})
（D）
【答案】B[]
【解析】
试题分析：由题意，将函数![](https://wkrtcs.bdimg.com/rtcs/image?w=77&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"77","h":"21","dataType":"png","c":"word/media/image45_1.png","imgOriW":1856,"imgOriH":512})
的图像向左平移个单位得，则平移后函数的对称轴为，即，故选B.
考点： 三角函数的图象变换与对称性.
（8）中国古代有计算多项式值的秦九韶算法，下图是实现该算法的程序框图.执行该程序框图，若输入的![](https://wkrtcs.bdimg.com/rtcs/image?w=75&md5sum=2b49e1438c745e9b7baa69905dc9352a&sign=4037be90c8&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=109&ipr={"t":"img","w":"75","h":"21","dataType":"png","c":"word/media/image50_1.png","imgOriW":1792,"imgOriH":512})
，依次输入的为2，2，5，则输出的（ ）
本文来源：https://www.2haoxitong.net/k/doc/8c4c17361fb91a37f111f18583d049649b660e39.html
文档为doc格式