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1、(图 1)2015 江苏高考最后一卷数学一、填空题（本大题共14 小题，每小题5 分，共 70 分）1.已知复数z的实部为2，虚部为 1，则z的模等于.2.已知集合3,0,1A，集合2xyxB，则BA.3.右图 1 是一个算法流程图，若输入x的值为4，则输出y的值为.4.函数)1(log21)(2xxfx的定义域为.5.样本容量为10 的一组数据，它们的平均数是5，频率如条形图2 所示，则这组数据的方差等于6.设,是两个不重合的平面，,m n是两条不重合的直线，给出下列四个命题：若,|,nnm则|nm；若,mn，,mn，则；若,m nnm，则n；若,mmn，则n.其中正确的命题序号为7.若圆2
2、22)5()3(ryx上有且只有两个点到直线234:yxl的距离等于1，则半径r的取值范围是.图 2 8.已 知 命 题2:,2,Pbfxxb xc在,1上 为 减 函 数；命 题0:QxZ，使得021x.则在命题PQ，PQ，PQ，PQ中任取一个命题，则取得真命题的概率是9.若函数2()(,)1bxcf xa b cRxax),(Rdcba，其图象如图3 所示，则cba.10.函数2322)(223xaxaxxf的图象经过四个象限，则a 的取值范围是11.在ABC中,已知角 A,B,C的对边分别为a,b,c,且sinsinsinACBbcac，则函数22()cos()sin()22xxf xA
3、A在3,2 2上的单调递增区间是.12.“已 知 关 于x的 不 等 式02cbxax的 解 集 为)2,1(，解 关 于x的 不 等 式02abxcx.”给出如下的一种解法：参考上述解法：若关于x的不等式0cxbxaxb的解集为)1,21()31,1(，则关于x的不等式0cxbxaxb的解集为.13.20XX年第二届夏季青年奥林匹克运动会将在中国南京举行，为了迎接这一盛会，某公司计划推出系列产品，其中一种是写有“青奥吉祥数”的卡片.若设正项数列na满足2110nnn naa，定义使2logka为整数的实数k 为“青奥吉祥数”，则在区间 1，2014内的所有“青奥吉祥数之和”为_ 14.已知2
4、2,032,0 xxfxxx，设集合,11Ayyfxx，,11By yaxx，若对同一x 的值，总有12yy，其中12,yA yB，则实数a的取值范围是解：由02cbxax的解集为)2,1(，得0112cxbxa的解集为)1,21(，即关于x的不等式02abxcx的解集为)1,21(.x y 1 2 12图 3 文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4
5、 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5
6、A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G1
7、0 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y
8、3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C
9、7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:
10、CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10
11、K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7二、解答题（本大题共6 小题，共 90 分）15.在ABC中，角A，B，C的 对 边 分 别 为a，b，c，向 量(1s i n,1),1,s i nc o s2CmnCC，且.nm（1）求sinC的值；（2）若2248abab，求边 c 的长度.16.如图 4，在四棱锥PABCD中，平面PAD平面ABCD，ABDC，PAD是等边三角形，已知28BDAD，24 5ABDC（1）设M是PC上的一点，证明：平面MBD平面PAD；（2）求四棱锥PABCD的
12、体积17.如图 5，GH 是东西方向的公路北侧的边缘线，某公司准备在GH 上的一点B 的正北方向的 A 处建一仓库，设AB=y km，并在公路同侧建造边长为x km 的正方形无顶中转站CDEF（其中边EF在 GH 上），现从仓库A 向 GH和中转站分别修两条道路AB，AC，已知 AB=AC 1，且 ABC=60o（1）求 y 关于 x 的函数解析式；（2）如果中转站四周围墙造价为1 万元/km，两条道路造价为3 万元/km，问：x 取何值时，该公司建中转站围墙和两条道路总造价M 最低？A B C M P D 图 4 公路HGFEDCBA图 5 文档编码:CD2F10K9E1P4 HB2W5A2
13、Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10
14、ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A
15、3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文
16、档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD
17、2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9
18、E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 H
19、B2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7O M N F2F1y x（图 6）18.如图 6，椭圆22221xyab(0)ab过点3(1,)2P，其左、右焦点分别为12,F F，离心率12e，,M N是椭圆右准线上的两个动点，且120F MF N（1）求椭圆的
20、方程；（2）求MN的最小值；（3）以MN为直径的圆C是否过定点？请证明你的结论19.已知函数).1,0(ln)(2aaaxxaxfx（1）求曲线()yf x在点)0(,0(f处的切线方程；（2）求函数)(xf的单调增区间；（3）若存在 1,1,21xx，使得eexfxf(1)()(21是自然对数的底数)，求实数a的取值范围文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K
21、9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4
22、HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A
23、2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10
24、 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3
25、A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7
26、文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:C
27、D2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C720.已知数列 an中，a2=a(a为非零常数)，其前 n 项和 Sn满足 Sn=n(ana1)2(nN*)（1）求数列 an的通项公式；（2）若 a=2，且21114mnaS，求 m、n 的值；（3）是否存在实数a、b，使得对任意正整数p，数列 an中满足nabp的最大项恰为第23p项？若存在，分别求出a 与 b 的取值范围；若不存在，请说明理由数学（附加题）21A 选修 4-1：几何证明选讲（本小题满分10 分）如图，从圆O外一点P引圆
28、的切线PC及割线PAB，C为切点求证：AP BCAC CP21B已知矩阵2 13,1 25M，计算2M21C已知圆C的极坐标方程是4sin，以极点为平面直角坐标系的原点，极轴为x轴的正半轴，建立平面直角坐标系，直线l的参数方程是32(12xttytm是参数）若直线l与圆C相切，求正数m的值B A C P O（第 21-A 题）文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F1
29、0K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P
30、4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W
31、5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G
32、10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3
33、Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2
34、C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码
35、:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7MPDCBA（第 22 题）21D（本小题满分10 分，不等式选讲）已知不等式22|1|abcx对于满足条件1222cba的任意实数cba,恒成立,求实数x的取值范围【必做题】第22、23 题，每小题10 分，共计20 分请在答题卡指定区域内作答，解答时应写出文字说明、证明过程或演算步骤22（本小题满分10 分）22.如图，在四棱锥PABCD 中，PA底面ABCD，底面ABCD 是边长为2 的菱形，60ABC，6PA，M 为 PC的中点
36、（1）求异面直线PB与 MD 所成的角的大小；（2）求平面PCD与平面 PAD所成的二面角的正弦值23（本小题满分10 分）袋中共有 8 个球，其中有3 个白球，5 个黑球，这些球除颜色外完全相同从袋中随机取出一球，如果取出白球，则把它放回袋中；如果取出黑球，则该黑球不再放回，并且另补一个白球放入袋中重复上述过程n 次后，袋中白球的个数记为Xn（1）求随机变量X2的概率分布及数学期望E(X2)；（2）求随机变量Xn的数学期望E(Xn)关于 n 的表达式文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10
37、 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3
38、A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7
39、文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:C
40、D2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K
41、9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4
42、HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A
43、2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C72015 江苏高考最后一卷数学答案一、填空题1.52.0,13.2 4.),2()2,1(5.7.2 6.7.8.149.4 10.),1(4481,11.0,12.)1,31()21,1(13.2047 14.1,0提示：1.iz2，则iz2，则5)1()2(22z.2.2022xxxxxyxB，又3,0,1
44、A，所以0,1BA.3.当4x时，34，则7x；当7x时，37，4x；当4x时，34，1x；当1x时，31不成立，则输出221y.4.要使原式有意义，则1101xx，即1x且2x.5.2 出现44.010次，5 出现22.010次，8 出现44.010次，所以2.7)55(4)55(2)52(41012222s.6.逐个判断。由线面平行的性质定理知正确；由面面平行 的判定定理知直线,m n相交时才成立，所以错误；由面面垂直的性质定理知正确；中，可以是n，所以错误，即正确命题是.7.如图 7，要使圆222)5()3(ryx上有且只有两个点到直线234:yxl的距离等于 1，只须转化为圆与直线n相
45、交，且与直线m相离，即CQrCP，又圆心到直线l的距离为 5，则64r.xymnlCPQO图 7 文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C
46、7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:
47、CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10
48、K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4
49、 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5
50、A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G10 ZF3Y3A3J2C7文档编码:CD2F10K9E1P4 HB2W5A2Q6G1