集合051.已知命题p:∀x∈R,ln(ex+1)>0,则綈p为()A.∃x∈R,ln(ex+1)<0B.∀x∈R,ln(ex+1)<0C.∃x∈R,ln(ex+1)≤0D.∀x∈R,ln(ex+1)<02.设集合A={-1,0,1},集合B={0,1,2,3},定义A*B={(x,y)|x∈A∩B,y∈A∪B},则A*B中元素个数是()A.7B.10C.25D.52答案:B解析:A∩B={0,1},A∪B{-1,0,1,2,3},x有2种取法,y有5种取法,由乘法原理得2×5=10,故选B。3.已知集合,,则A.B.C.D.【答案】C【解析】,故选C.4.已知集合,,则A.B.C.D.【答案】D【解析】,所以,选D.5.已知集合,则A.B.C.D.【答案】A【解析】或。6.已知全集U,集合关系的韦恩(Venn)图如图1所示,则A.B.C.D.7.已知函数的定义域为集合,的值域为集合,.(1)求和;(2)求、.8.已知集合A={1,3,5,7,9},B={0,3,6,9,12},则A∩∁NB=()A.{1,5,7}B.{3,5,7}C.{1,3,9}D.{1,2,3}【答案】A【解析】因为∁NB中含有1,5,7,故选A.9.已知集合(A)(B)(C)(D)【答案】A解析:。10.集合P={1,4,9,16,……},若a∈P,b∈P,有a○b∈P,则运算○可能是()A,加法B,减法C,除法D,乘法答案D解析P={n2},ab∈P,选D10.已知集合(A)(B)(C)(D)【答案】A解析:。11.设集合,,若,则_________.12.若A={x∈R||x|<3},B={x∈R|2x>1},则A∩B=.【答案】{x|0