2022年东城高三一模数学文含答案 .pdf
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1、北京市东城区 2011-2012 学年第二学期综合练习(一)高三数学(文科)学校 _班级 _姓名 _考号 _ 第卷(选择题共 40 分)一、本大题共8 小题,每小题5 分,共 40 分。在每小题列出的四个选项中,选出符合题目要求的一项。(1)若a,bR,i是虚数单位,且(2)i1iba,则ab的值为(A)1(B)2(C)3(D)4(2)若集合,02mA,2,1B,则“1m”是“2,1,0BA”的(A)充分不必要条件(B)必要不充分条件(C)充分必要条件(D)既不充分也不必要条件(3)若点(,)P x y在不等式组,2yxyxx表示的平面区域内,则2zxy的最大值为(A)0(B)2(C)4(D)
2、6(4)已知x,y,zR,若1,x,y,z,3成等差数列,则xyz的值为(A)2(B)4(C)6(D)8(5)右图给出的是计算1001.81614121的值的一个程序框图,其中判断框内应填入的条件是(A)50i(B)25i(C)50i(D)25i(6)已知2sin(45)10o,且090oo,则cos的值为(A)513(B)1213(C)35(D)45(7)已知函数()()()f xxaxb(其中)ab的图象如右图所示,则函数()xg xab的图象大致为(A)(B)(C)(D)俯视图左视图主视图21122(8)设 集合10,)2A,1,12B,函 数1,()22(1),.xxAfxxxB若0
3、xA,且0()ff xA,则0 x的取值范围是(A)(41,0 (B)(21,41 (C)(21,41)(D)0,83 第卷(共 110 分)二、填空题:本大题共6 小题,每小题5 分,共 30 分。(9)已知一个四棱锥的三视图如图所示,则该四棱锥的体积是.(10)命题“000(0,),tansin2xxx”的否定是 .(11)在如图所示的茎叶图中,乙组数据的中位数是;若从甲、乙两组数据中分别去掉一个最大数和一个最小数后,两组数据的平均数中较大的一组是组(12)双曲线222xy的离心率为;若抛物线2yax的焦点恰好为该双曲线的右焦点,则a的值为.(13)已知ABC中,ADBC于D,2ADBD,
4、1CD,则AB ACuuu r uu u r_(14)已知数列na,1am,mN,1,21,2nnnnnaaaaa为偶数,为奇数.若na中有且只有5个不同的数字,则m的不同取值共有个甲乙0 7 9 5 4 5 5 1 8 4 4 6 4 7 1 9 3 文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文
5、档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2
6、文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C
7、2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10
8、C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F1
9、0C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F
10、10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2
11、F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2三、解答题:本大题共6 小题,共80 分。解答应写出文字说明,演算步骤或证明过程。(15)(本小题共13 分)已知函数22()(sin2cos2)2sin 2f xxxx.()求()f x的最小正周期;()若函数()yg x的图象是由()yf x的图象向右平移8个单位长度得到的,当x0,4时,求()yg x的最大值和最小值.(16)(本小题共13 分)某班同学利用寒假在5 个居民小区内选择两个小区逐户进行一次“低碳
12、生活习惯”的调查,以计算每户的碳月排放量若月排放量符合低碳标准的称为“低碳族”,否则称为“非低碳族”若小区内有至少%75的住户属于“低碳族”,则称这个小区为“低碳小区”,否则称为“非低碳小区”已知备选的5 个居民小区中有三个非低碳小区,两个低碳小区.()求所选的两个小区恰有一个为“非低碳小区”的概率;()假定选择的“非低碳小区”为小区A,调查显示其“低碳族”的比例为21,数据如图 1 所示,经过同学们的大力宣传,三个月后,又进行了一次调查,数据如图2 所示,问这时小区A是否达到“低碳小区”的标准?O月排放量(百千克/户频率组距0.46 0.23 0.10 0.07 1 2 3 4 5 图 2
13、O月排放量(百千克/户频率组距0.30 0.25 0.20 0.15 0.05 1 2 3 4 5 图 1 6 0.14(17)(本小题共14 分)如图1,在边长为3的正三角形ABC中,E,F,P分别为AB,AC,BC上的点,且满足1AEFCCP.将AEF沿EF折起到1A EF的位置,使平面1A EF平面文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4
14、HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4
15、 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V
16、4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3
17、V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T
18、3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8
19、T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O
20、8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2PFEABCQFA1CPBEEFB,连结1A B,1A P.(如图2)()若Q为1A B中点,求证:PQ平面1A EF;()求证:1A EEP.图 1 图 2(18)(本小题共13 分)已知1x是函数()(2)exf xax的一个极值点(aR)()求a的值;()当1x,20,2x时,证明:12()()ef xf x(19)(本小题共13 分)已知椭圆2222:1(
21、0)xyCabab过点0,1,且离心率为32.()求椭圆C的方程;()12,AA为椭圆C的左、右顶点,直线:2 2lx与x轴交于点D,点P是椭圆C上异于12,A A的动点,直线12,A P A P分别交直线l于,E F两点.证明:DEDF恒为定值.(20)(本小题共14 分)对于函数()f x,若00()fxx,则称0 x为()f x的“不动点”;若00()ff xx,则称0 x为()f x的“稳定点”.函数()f x的“不动点”和“稳定点”的集合分别记为A和B,即()Ax f xx,()Bx ff xx.文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文
22、档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2
23、文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C
24、2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10
25、C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F10C2文档编码:CD10P5O8T3V4 HT7M10R3F4O6 ZY1M6J2F1
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