2014年普通高等学校招生全国统一考试(全国新课标Ⅰ卷)数学试题(文科)解析版.pdf
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1、2014年高招全国课标 1(文科数学 word 解析版)第卷一选择题:本大题共10 小题,每小题5 分,共 50 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)已知集合13Mxx,21Nxx,则MN()A.)1,2(B.)1,1(C.)3,1(D.)3,2(【答案】:B【解析】:在数轴上表示出对应的集合,可得MN(-1,1),选B(2)若0tan,则A.0sinB.0cosC.02sinD.02cos【答案】:C【解析】:由tan0可得:kk2(k Z),故2k22 k(k Z),正确的结论只有 sin 20.选 C(3)设iiz11,则|zA.21B.22C.23D.2【答案
2、】:B【解析】:11111222iziiii,22112222z,选 B(4)已知双曲线)0(13222ayax的离心率为2,则aA.2 B.26C.25D.1【答案】:D【解析】:由双曲线的离心率可得232aa,解得1a,选 D.(5)设函数)(),(xgxf的定义域为R,且)(xf是奇函数,)(xg是偶函数,则下列结论中正确的是A.)()(xgxf是偶函数B.)(|)(|xgxf是奇函数C.|)(|)(xgxf是奇函数D.|)()(|xgxf是奇函数【答案】:C【解析】:设()()()F xf x g x,则()()()Fxfx gx,()f x是奇函数,()g x是偶函数,()()()(
3、)Fxf x g xF x,()F x为奇函数,选C.(6)设FED,分别为ABC的三边ABCABC,的中点,则FCEBA.ADB.12ADC.12BCD.BC【答案】:A【解析】:EBFCECBCFBBCECFB=111222ABACABACAD,选 A.(7)在函数|2|cosxy,|cos|xy,)62cos(xy,)42tan(xy中,最小正周期为的所有函数为A.B.C.D.【答案】:A【解析】:由cosyx是偶函数可知cos2cos2yxx,最小正周期为,即正确;y|cos x|的最小正周期也是,即也正确;cos 26yx最小正周期为,即正确;tan(2)4yx的最小正周期为2T,即
4、不正确.即正确答案为,选A8.如图,网格纸的各小格都是正方形,粗实线画出的事一个几何体的三视图,则这个几何体是()文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5
5、U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9
6、H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K
7、8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2
8、G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8
9、W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M
10、8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10文档编码:CE8W9H2P7C6 HG2M8K8W4Z1 ZS4K6M2G5U10A.三棱锥B.三棱柱C.四棱锥D.四棱柱【答案】:B【解析】:根据所给三视图易知,对应的几何体是一个横放着的三棱柱.选 B 9.执行下图的程序框图,若
11、输入的,a b k分别为 1,2,3,则输出的M=A.203B.165C.72D.158【答案】:D【解析】:输入1,2,3abk;1n时:1331,2,222Mab;2n时:28382,3323Mab;3n时:3315815,28838Mab;4n时:输出158M.选 D.10.已知抛物线C:xy2的焦点为F,yxA00,是 C 上一点,xFA045,则x0()A.1 B.2 C.4 D.8【答案】:A【解析】:根据抛物线的定义可知001544AFxx,解之得01x.选 A.11.设x,y满足约束条件,1,xyaxy且zxay的最小值为7,则a(A)-5(B)3(C)-5 或 3(D)5 或
12、-3【答案】:B【解析】:画出不等式组对应的平面区域,如图所示.文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1
13、B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9
14、L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE
15、6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2
16、D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10
17、V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:
18、CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3在平面区域内,平移直线0 xay,可知在点 A11,22aa处,z 取得最值,故117,22aaa解之得 a 5或a 3.但a 5时,z取得最大值,故舍去,答案为a 3.选B.(12)已知函数32()
19、31f xaxx,若()fx存在唯一的零点0 x,且00 x,则a的取值范围是(A)2,(B)1,(C),2(D),1【答案】:C【解析 1】:由已知0a,2()36fxaxx,令()0fx,得0 x或2xa,当0a时,22,0,()0;0,()0;,()0 xfxxfxxfxaa;且(0)10f,()f x有小于零的零点,不符合题意。当0a时,22,()0;,0,()0;0,()0 xfxxfxxfxaa要使()f x有唯一的零点0 x且0 x 0,只需2()0fa,即24a,2a选 C【解析 2】:由已知0a,()f x=3231axx有唯一的正零点,等价于3113axx有唯一的正零根,令
20、1tx,则问题又等价于33att有唯一的正零根,即ya与33ytt有唯一的交点且交点在在y 轴右侧,记3()3f ttt2()33ftt,由()0ft,1t,,1,()0;1,1,()0;tfttft,1,()0tft,要使33att有唯一的正零根,只需(1)2af,选 C 第II 卷二、填空题:本大题共4 小题,每小题5 分(13)将 2 本不同的数学书和1本语文书在书架上随机排成一行,则 2 本数学书相邻的概率为_.【答案】:23【解析】设数学书为 A,B,语文书为 C,则不同的排法共有(A,B,C),(A,C,B),(B,C,A),(B,A,C),(C,A,B),(C,B,A)共 6 种
21、排列方法,其中文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:C
22、E6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG
23、2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP1
24、0V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码
25、:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1 HG2D1B8U7R1 ZP10V9L5B6K3文档编码:CE6W5L7M8C1
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