2015年高考最后一卷数学试卷含答案解析.pdf





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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
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