2015年重庆市高考数学试卷(理科)答案与解析.pdf
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1、1 2015 年重庆市高考数学试卷理科参考答案与试题解析一、选择题:本大题共10 小题,每题5分,共 50 分,在每题给出的四个选项中,只有一项是符合题目要求的.1 5 分 2015?重庆已知集合A=1,2,3,B=2,3,则AA=B BA B=?CAB DBA 考点:子 集与真子集专题:集 合分析:直 接利用集合的运算法则求解即可解答:解:集合 A=1,2,3,B=2,3,可得 A B,AB=2,3,BA,所以 D 正确故选:D点评:此 题考查集合的基本运算,基本知识的考查2 5 分 2015?重庆在等差数列an中,假设a2=4,a4=2,则 a6=A1 B0C1D6考点:等 差数列的性质专
2、题:等 差数列与等比数列分析:直 接利用等差中项求解即可解答:解:在等差数列an 中,假设 a2=4,a4=2,则 a4=a2+a6=2,解得 a6=0故选:B点评:此 题考查等差数列的性质,等差中项个数的应用,考查计算能力3 5 分 2015?重庆重庆市2013 年各月的平均气温数据的茎叶图如,则这组数据的中位数是A19 B20 CD23 考点:茎 叶图专题:概 率与统计分析:根 据中位数的定义进行求解即可2 解答:解:样本数据有12 个,位于中间的两个数为20,20,则中位数为,故选:B 点评:此 题主要考查茎叶图的应用,根据中位数的定义是解决此题的关键比较基础4 5 分 2015?重庆“
3、x1”是“x+2 0”的A充要条件B充分而不必要条件C必要而不充分条件D既不充分也不必要条件考点:充 要条件专题:简 易逻辑分析:解“x+2 0”,求出其充要条件,再和x1 比较,从而求出答案解答:解:由“x+2 0”得:x+21,解得:x 1,故“x1”是“x+2 0”的充分不必要条件,故选:B点评:此 题考察了充分必要条件,考察对数函数的性质,是一道基础题5 5 分 2015?重庆某几何体的三视图如下图,则该几何体的体积为ABCD考点:由 三视图求面积、体积专题:空 间位置关系与距离分析:判 断三视图对应的几何体的形状,利用三视图的数据,求解几何体的体积即可解答:解:由三视图可知,几何体是
4、组合体,左侧是三棱锥,底面是等腰三角形,腰长为,高为 1,一个侧面与底面垂直,并且垂直底面三角形的斜边,右侧是半圆柱,底面半径为 1,高为 2,所求几何体的体积为:=故选:A点评:此 题考查三视图与直观图的关系,组合体的体积的求法,判断几何体的形状是解题的关键文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8
5、Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P
6、8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6
7、P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R
8、6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6
9、R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O
10、6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9
11、O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y93 6 5 分 2015?重庆假设非零向量,满足|=|,且3+2,则与的夹角为ABCD考点:数 量积表示两个向量的夹角专题:平 面向量及应用分析:根 据向量垂直的等价条件以及向量数量积的应用进行求解即可解答:解:3+2,?3+2=0,即 3222?=0,即?=3222=2,cos,=,即,=,故选:A 点评:此 题主要考查向量夹角的求解,利用向量数量积的应用以及向量垂直的等价条件是解决此题的关键7 5 分 2
12、015?重庆执行如下图的程序框图,假设输出k 的值为 8,则判断框图可填入的条件是文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文
13、档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9
14、文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y
15、9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8
16、Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P
17、8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6
18、P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R
19、6P8Y94 AsBsCsDs考点:循 环结构专题:图 表型;算法和程序框图分析:模拟执行程序框图,依次写出每次循环得到的k,S的值,当S时,退出循环,输出 k 的值为 8,故判断框图可填入的条件是S解答:解:模拟执行程序框图,k 的值依次为0,2,4,6,8,因此 S=此时 k=6,因此可填:S故选:C点评:此 题考查了当型循环结构的程序框图,根据框图的流程判断程序运行的S 值是解题的关键8 5 分 2015?重庆已知直线l:x+ay1=0a R是圆 C:x2+y24x2y+1=0 的对称轴过点A 4,a作圆 C 的一条切线,切点为B,则|AB|=A2BC6D考点:直 线与圆的位置关系专题:
20、直 线与圆分析:求 出圆的标准方程可得圆心和半径,由直线l:x+ay1=0 经过圆 C 的圆心 2,1,求得 a 的值,可得点A 的坐标,再利用直线和圆相切的性质求得|AB|的值解答:解:圆 C:x2+y24x2y+1=0,即 x22+y 12=4,表示以C2,1为圆心、半径等于2的圆由题意可得,直线l:x+ay 1=0 经过圆 C 的圆心 2,1,故有 2+a1=0,a=1,点 A 4,1 由于 AC=2,CB=R=2,切线的长|AB|=6,故选:C点评:此 题主要考查圆的标准方程,直线和圆相切的性质,属于基础题9 5 分 2015?重庆假设tan=2tan,则=A1B2C3D4考点:三角函
21、数的积化和差公式;三角函数的化简求值文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B
22、10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6
23、B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F
24、6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1
25、F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA1F6B10R1B10 ZV9O6R6P8Y9文档编码:CW4V10B4B5U1 HA
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