题库网
#2df1ffb6-f888-4856-a1f5-af9ac6016595基础解答题集合新定义问题集合与常用逻辑用语

22.对非空数集XXYY,定义XXYY的和集X+Y={x+yxXX+Y=\{x+y\vert x\in XyY}y\in Y\}.对任意有限集AA,记A\vert A\vert为集合AA中元素的个数.
(Ⅰ)若集合X={0X=\{0,1,2}2\}Y={1Y=\{1,3,5,7,9}9\},写出集合X+XX+XX+YX+Y
(Ⅱ)若集合X={x1X=\{x_{1}x2x_{2}\dotsbx1012}x_{1012}\}满足x1<x2<<x1012x_{1}<x_{2}<\dotsb <x_{1012},且X+X<2024\vert X+X\vert <2024,求X+X\vert X+X\vert