一、选择题:本大题共12小题,每小题5分,满分60分.
1.设集合高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094509779.png">,那么集合高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094509159.png">的真子集个数是 ( )
A.3 B.4 C.7 D.8
2.在平行四边形高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094509947.png">中,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094509758.png">为一条对角线,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510611.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510872.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510475.png">=( )
A.(2,4) B.(3,5) C.(1,1) D.(-1,-1)
3.设高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510386.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510323.png">=( )
A.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510701.png"> B.1 C.2 D.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510878.png">
4.将长方体截去一个四棱锥,得到的几何体如图所示,则该几何体的侧视图为( )
高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510508.png">高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510911.jpg">
5.如图,大正方形的面积是 34,四个全等直角三角形围成一个小正方形,直角三角形的较短边长为 3,向大正方形内抛撒一枚幸运小花朵,则小花朵落在小正方形内的概率为( )
A.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510731.png"> B.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510521.png"> C.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510969.png"> D.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510804.png">
6.某商场为了了解毛衣的月销售量高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510296.png">(件)与月平均气温高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510373.png">(℃)之间的关系,随机统计了某4个月的月销售量与当月平均气温,其数据如下表:
月平均气温x(℃) |
17 |
13 |
8 |
2 |
月销售量y(件) |
24 |
33 |
40 |
55 |
由表中数据算出线性回归方程高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510692.png">中的高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510587.png">,气象部门预测下个月的平均气温约为6℃,据此估计该商场下个月毛衣销售量约为( )件.
A.46 B.40 C.38 D.58
7.设高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510894.png">是两条不同的直线,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510657.png">是两个不同的平面,下列命题中正确的是 ( )
A.若高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510672.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510257.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510641.png"> B.若高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510493.png">∥高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510133.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510972.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510534.png">∥高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510150.png">
C.若高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510751.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510594.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510998.png"> D.若高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510510.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510206.png">∥高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094510870.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511886.png">∥高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511492.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511193.png">
8.已知函数高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511587.png">向左平移高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511371.png">个单位后,得到函数高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511602.png">,下列关于高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511499.png">的说法正确的是( )
A.图象关于点高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511102.png">中心对称 B.图象关于高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511123.png">轴对称
C.在区间高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511468.png">单调递增 D.在高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511807.png">单调递减
高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511320.jpg">9.阅读上图所示的程序框图,运行相应的程序,输出的结果是( ).
A.123 B.38 C.11 D.3
10.己知函数高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511742.png">的图象在点高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511499.png">处的切线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511808.png">与直线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511637.png">平行,若数列高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511157.png">的前n项和为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511480.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511794.png">的值为( )
A.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511698.png"> B.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511873.png"> C.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511828.png"> D.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511671.png">
11.椭圆高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511408.png">的左焦点为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511878.png">,若高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511423.png">关于直线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511902.png">的对称点高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511876.png">是椭圆高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511833.png">上的点,则椭圆高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511108.png">的离心率为( )
A.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094511747.png"> B.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512720.png"> C.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512501.png"> D.高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512840.png">
12.若高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512307.png">满足高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512773.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512442.png">满足高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512707.png">,函数高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512775.png">,
则关于高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512466.png">的方程高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512175.png">解的个数是( )
A.1 B.2 C.3 D.4
二、填空题:本大题共4小题,每小题5分,满分20分.
13.设公比为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512583.png">的等比数列高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512686.png">的前高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512818.png">项和为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512982.png">.若高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512495.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512455.png">= .
14.已知函数高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512140.png">有极大值和极小值,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512875.png">的取值范围是
15.已知实数高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512250.png">满足约束条件高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512738.png">,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512749.png">的最小值是____________
16.若抛物线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512978.png">的焦点高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512410.png">与双曲线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512157.png">的一个焦点重合,则高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512857.png">的值为 .
三、解答题:本大题共8小题,考生作答6小题,共70分.
17.(本题满分12分)高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512733.png">的三个内角高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512960.png">对应的三条边长分别是高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512733.png">,且满足高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094512567.png">
⑴ 求高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513969.png">的值; ⑵ 若高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513481.png">, 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513287.png">,求高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513470.png">和高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513321.png">的值.
高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513495.jpg">
18.(本小题满分12分)如图,四棱锥高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513243.png">,侧面高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513664.png">是边长为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513202.png">的正 三角形,且与底面垂直,底面高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513919.png">是高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513130.png">的菱形,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513277.png">为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513502.png">的中点.
⑴ 求证:高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513717.png">; ⑵ 求点高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513995.png">到平面高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513485.png">的距离.
19. (本小题满分12分)某校高三文科分为四个班.高三数学调研测试后, 随机地在各班抽取部分学生进行测试成绩统计,各班被抽取的学生人数恰好成等差数列, 人数最少的班被抽取了22人.抽取出来的所有学生的测试成绩统计结果的频率分布条形图如图所示,其中120~130(包括120分但不包括130分)的频 率为0.05,此分数段的人数为5人.
高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513213.png">
(1)问各班被抽取的学生人数各为多少人?
(2)求平均成绩;
(3)在抽取的所有学生中,任取一名学生,求分数不小于90分的概率.
20.(本小题满分12分)已知椭圆C:高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513450.png">的离心率为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513526.png">,以原点O为圆心,椭圆的短半轴长为半径的圆与直线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513988.png">相切.
⑴ 求椭圆C的标准方程. ⑵ 若直线L:高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513600.png">与椭圆C相交于A、B两点,且高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513264.png">,求证:高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513737.png">的面积为定值.
21.(本小题满分12分). 已知函数高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513579.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513575.png">(a为实数).
⑴ 求高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513795.png">在区间[t,t+2](t >0)上的最小值;
⑵ 若存在两不等实根高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094513436.png">,使方程高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514308.png">成立,求实数a的取值范围.
请考生在22、23、24题中任选一题作答高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514756.png">。
22.(本小题满分10分)选修4-1:几何证明选讲
如图,在高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514170.png">中,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514776.png">是高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514725.png">的角平分线,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514551.png">的外接圆交高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514963.png">于点高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514195.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514773.png">.
⑴ 求证:高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514458.png">;
⑵ 当高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514339.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514437.png">时,求高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514561.png">的长.
23.(本小题满分10分)选修4-4:坐标系与参数方程
曲线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514259.png">的参数方程为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514468.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514738.png">是曲线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514662.png">上的动点,且高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514186.png">是线段高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514734.png">的中点,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514148.png">点的轨迹为曲线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514299.png">,直线l的极坐标方程为高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514185.png">,直线l与曲线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514574.png">交于高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514288.png">,高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514686.png">两点。
⑴ 求曲线高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514739.png">的普通方程;⑵ 求线段高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514926.png">的长。
24.(本小题满分10分)选修4—5:不等式选讲
已知函数高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094514266.png">.
⑴ 证明:高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515314.png">;
⑵ 求不等式:高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515721.png">的解集
高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515602.jpg"> 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515523.jpg"> 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515477.jpg"> 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515672.jpg"> 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515299.jpg">
高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515203.jpg"> 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515224.jpg">高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515263.jpg"> 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515299.jpg">
高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515897.jpg">高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094515622.jpg"> 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094516538.jpg"> 高三摸底考试数学文试题及答案 src="/static/wddqxz/img/default/default.png" data-src="https://oss.zyxzdq.com/dyfwdq/img/img.liexue.cn/uploadfile/2015/0907/20150907094516335.jpg">
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