2014山东省高考理科数学模拟试题word.pdf
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1、1/5 山东理科数学一、选择题:本大题共10 小题,每小题5 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,a bR,i是虚数单位,若ai与2bi互为共轭复数,则2()abi(A)54i(B)54i(C)34i(D)34i(2)设集合|1|2Axx,|2,0,2xBy yx,则AB(A)0,2(B)(1,3)(C)1,3)(D)(1,4)(3)函数221()(log)1f xx的定义域为(A)1(0,)2(B)(2,)(C)1(0,)(2,)2(D)1(0,2,)2(4)用反证法证明命题:“已知,a b为实数,则方程20 xaxb至少有一个实根”时,要做的假设是(A)方程
2、20 xaxb没有实根(B)方程20 xaxb至多有一个实根学科网(C)方程20 xaxb至多有两个实根(D)方程20 xaxb恰好有两个实根(5)已知实数,x y满足xyaa(01a),则下列关系式恒成立的是(A)221111xy(B)22ln(1)ln(1)xy(C)sinsinxy(D)22xy(6)直线4yx与曲线3yx在第一象限内围成的封闭图形的面积为(A)2 2(B)4 2(C)2(D)4(7)为研究某药品的疗效,选取若干名志愿者进行临床实验,所有志愿者的舒张压数据(单位:kPa)的分组区间为12,13),13,14),14,15),15,16),16,17,将其按从左到右的顺序分
3、别编号为第一组,第二组,.,第五组.右图是根据实验数据制2/5 成的频率分布直方图.已知第一组与第二组共有20 人,第三组中没有疗效的有6 人,则第三组中有疗效的人数为(A)1(B)8(C)12(D)18(8)已知函数()|2|1f xx,()g xkx,若()()f xg x有两个不相等的实根,则实数k的取值范围是(A)1(0,)2(B)1(,1)2(C)(1,2)(D)(2,)(9)已知,x y满足约束条件10,230,xyxy当目标函数(0,0)zaxby ab在该约束条件下取到最小值2 5时,22ab的最小值为(A)5(B)4(C)5(D)2(10)已知ab,椭圆1C的方程为22221
4、xyab,双曲线2C的方程为22221xyab,1C与2C的离心率之积为32,则2C的渐近线方程为学科网(A)20 xy(B)20 xy(C)20 xy(D)20 xy二、填空题:本大题共5 小题,每小题5 分,共 25 分(11)执行右面的程序框图,若输入的x的值为 1,则输出的n的值为.(12)在ABC中,已知tanAB ACA,当6A时,ABC的面积为.文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7
5、D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q
6、5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M
7、7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2
8、O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ
9、6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR
10、9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3
11、D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J33/5(13)三棱锥PABC中,D,E分别为PB,PC的中点,记三棱锥DABE的体积为1V,PABC的体积为2V,则12VV.(14)若24()baxx的展开式中3x项的系数为20,则22ab的最小值为.(15)已知函数()()yf xxR.对函数()()yg xxI,定义()g x关于()f x的“对称函数”为()()yh xxI,()yh x满足:对任意xI,两个点(,()x h x,(,()x g x关于点(,()x f x对称.若()h x是2()4g xx关于()3f xxb的“对称函数
12、”,且()()h xg x恒成立,则实数b的取值范围是.三、解答题:本大题共6 小题,共75 分.(16)(本小题满分12 分)已知向量(,cos2)amx,(sin2,)bx n,设函数()f xa b,且()yf x的图象过点(,3)12和点2(,2)3.()求,m n的值;()将()yfx的图象向左平移(0)个单位后得到函数()yg x的图象.若()yg x的图象上各最高点到点(0,3)的学科网距离的最小值为1,求()yg x的单调增区间.(17)(本小题满分12 分)如图,在四棱柱1111ABCDABC D中,底面ABCD是等腰梯形,60DAB,22ABCD,M是线段AB的中点.()求
13、证:111/C MA ADD;()若1CD垂直于平面ABCD且13CD,求平面11C D M和平面ABCD所成的角(锐角)的余弦值.文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9
14、 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文
15、档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W
16、5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5
17、L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J3文档编码:CZ6Q5V10W5X1 HR9M7S8B5L9 ZT3D2O7D7J
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