四川省绵阳市高三第二次诊断性考试数学文试题

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1、letters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the last mile. Third, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old

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7、mand. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even against the new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively c

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10、nt concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Technical innovation is the promotion of economic transformation and upgr

11、ading, quality and efficiency first power.四川省绵阳市2013届高三二诊模拟试题文科数学(第一卷)一、选择题:只有唯一正确答案,每小题5分,共50分1、集合,则集合为 ( )(A) (B) (C) (D)2、复数的虚部是( )(A) (B) (C) (D)3、已知,则的值为( )(A) (B) (C) (D)4、阅读右边的程序框图,运行相应的程序,则输出S的值为( )(A)8 (B)18 (C)26 (D)805、设、b是两条不同的直线,、是两个不同的平面,则下列四个命题中正确的是( )(A)若b,则b (B)若,则(C)若,则 (D)若b,b,则6、

12、函数的部分图象如图所示,则此函数的解析式为( )(A) (B)(C) (D)7、对一切实数x,不等式恒成立,则实数a的取值范围是( )(A) (B) (C) (D) 8、定义运算,则函数的图象大致为( )(A)(B)(C)(D)9、已知为平面上的定点,、是平面上不共线的三点,若,则DABC是()(A)以AB为底边的等腰三角形(B)以BC为底边的等腰三角形(C)以AB为斜边的直角三角形(D)以BC为斜边的直角三角形10、已知关于的方程,若,记“该方程有实数根,且满足”为事件A,则事件A发生的概率为( )(A) (B) (C) (D)二、填空题:每小题5分,共25分11、已知数列的前项和,则 12

13、、某校现有高一学生210人,高二学生270人,高三学生300人,用分层抽样的方法从这三个年级的学生中随机抽取n名学生进行问卷调查,如果已知从高一学生中抽取的人数为7,主视图侧视图俯视图那么从高三学生中抽取的人数应为 13、如图是一个空间几何体的主视图、侧视图、俯视图,如果主视图、侧视图所对应的三角形皆为边长为2的正三角形,俯视图对应的四边形为正方形,那么这个几何体的体积为 14、设向量与的夹角为,则等于 15、设m是一个正整数,对两个正整数a、b,若,我们称a、b模m同余,用符号表示; 在中,当,且时,的所有可取值为 石室中学高2013级“一诊模拟”考试(一)试题文科数学(第二卷)11、 12

14、、 13、 14、 15、 三、解答题:总分75分16、(本题满分12分)已知的面积满足,的夹角为()求的取值范围;()求函数的最大值17、(本题满分12分)三棱锥中, ()求证:平面平面;()当时,求三棱锥的体积18、(本题满分12分)设函数满足:对任意的实数有()求的解析式;()若方程有解,求实数的取值范围.19、(本题满分12分)已知某公司生产某品牌服装的年固定成本为10万元,每生产一千件,需要另投入2.7万元.设该公司年内共生产该品牌服装千件并全部销售完,每千件的销售收入为万元,且.()写出年利润(万元)关于年产量(千件)的函数关系式;()年生产量为多少千件时,该公司在这一品牌服装的生产中所获年利润最大?20、(本题满分13分)设数列为单调递增的等差数列,且依次成等比数列.()求数列的通项公式;()若,求数列的前项和;()若,求数列的前项和21(本

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