2014年高一数学必修1第一章测试题及标准答案.pdf
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1、2014级高一数学第一章单元测试卷(第 I 卷)一选择题(本大题共 10 小题,第小题5 分,共 50 分在每小题给出的四个选项中,只有一项符是合题目要求的)1设集合1xQxA,则()AA B2AC2AD2A2已知集合 A 到 B 的映射 f:xy=2x+1,那么集合 A 中元素 2在 B 中对应的元素是:()A、2 B、6 C、5 D、8 3设集合|12,|.AxxBx xa若,AB则a的范围是()A2a B1a C1a D2a4函数1)2(xky在实数集上是减函数,则k 的范围是()A2kB2kC2kD2k5全集 U 0,1,3,5,6,8,集合 A 1,5,8,B=2,则U(C)AB()
2、A B 0,3,6 C 2,1,5,8 D0,2,3,6 6下列各组函数中,表示同一函数的是()A0,xyxyxB1,112xyxxyC2,yx yxD2)(|,|xyxy7下列函数是奇函数的是()A21xy B322xy Cxy D)1,1(,2xxy8若奇函数xf在3,1上为增函数,且有最小值0,则它在1,3上()A.是减函数,有最小值0 B.是增函数,有最小值0 C.是减函数,有最大值0 D.是增函数,有最大值0 9设集合22xxM,20yyN,给出下列四个图形,其中能表示以集合M为定义域,N为值域的函数关系的是()10、已知f(x)=g(x)+2,且 g(x)为奇函数,若f(2)=3,
3、则 f(-2)=()A 0 B-3 C1 D3(第 II 卷)二填空题(本大题共5 小题,每小题 5 分,共 25分)11.已知集合4|3AxNZx,则用列举法表示集合A=.12.已知25(1)()21(1)xxf xxx,则(1)ff.13.函数26yxx 的减区间是.14设偶函数f(x)的定义域为R,当0,)x时 f(x)是增函数,则(2),(),(3)fff的大小关系是15.定义在R 上的奇函数()f x,当0 x时,()2f x;则奇函数()f x的值域是三、解答题:(本大题共6 小题,共75 分题解答应写出文字说明,证明过程或演算步骤)16.(12分)设,1,05,UUR Ax xB
4、xxC AB求和UAC B.17.(12 分)求下列函数的定义域文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5
5、 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3
6、F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5
7、 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3
8、F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5
9、 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3
10、F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9(1)21)(xxxf(2)321)(xxxf18.(12 分)已知集合23,1,|20ABx xaxb,且AB,求实数 a 与 b 的值.19(12分)已知函数1)(xxxf,(1,4)x,求函数的最大值和最小值.(提示:先用定义判断函数的单调性,再求最值)20.(13分)已知函数)(xf是奇
11、函数,且当 x0 时,12)(2xxxf,求)(xf在 R上的表达式 21.(14 分)已知函数cxaxxf4)(2是奇函数,且5)1(f(1)求)(xf的解读式;(2)判断函数)(xf在2,0上的单调性,并加以证明(3)函数()f x在02-,上是单调增函数还是单调减函数?(直接写出答案,不要求写证明过程)2014级高一第一章数学试卷答案一选择题1B 2C 3A 4B 5D 6A 7C 8D 9B10C 二填空题11.1,2,4,5,7A12.8 13.(,3.14.()f(3)f(2)f.15.-2,0,2 三解答题16.解:因为|1UC Ax x 3 文档编码:CK3F1O6T5V6 H
12、L4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4
13、I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 H
14、L4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4
15、I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 H
16、L4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4
17、I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 H
18、L4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9|05UC Bx xx或 6 所以|5UC ABx x 10|5UAC Bx x 12 17.解:(1)由题意得0201xx,即21xx,定义域为2,1|xxx且(2)由题意得0201xx,即21xx,定义域为2,1|xxx且18解:由题意知-3,1 是方程220 xaxb的根,则0210)3(2)3(22baba,解得31ba所以3,1 ba19.解:任取12,1,4x x,且12xx,文档
19、编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3D4U4A5 ZB1E1G1Z4I9文档编码:CK3F1O6T5V6 HL4C3
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