已知复数z=x+yi(x、y∈R,i是虚数单位)满足不等式z+iz-i≤0(表示复数z的

已知复数z=x+yi(x、y∈R,i是虚数单位)满足不等式z+iz-i≤0(表示复数z的共轭复数),则u=|2x-y+1|的取值范围是

A.[0,+∞)                                    B.[3-,3+

C.[0,]                                   D.[0,1+

答案

C  将z=x+yi(x,y∈R)代入zz+iz-iz≤0,整理得x2+(y-1)2≤1,它表示以(0,1)为圆心,以1为半径的圆及圆内的点构成的集合,则圆内任一点P(x,y)到直线2x-y+1=0的距离d=∈[0,1],∴|2x-y+1|∈[0,],即u∈[0,].

相关题目

某村委会设立理财小组,每三个月对村里的账目清理一次,
某村委会设立理财小组,每三个月对村里的账目清理一次,并张榜公布。这是村民在村民自治中创造的一种形式。这叫做( ) A.村务公开 B.定期报
I hurried all the way___ I wouldn’t be late for class. A. since   B. in orde
I hurried all the way___ I wouldn’t be late for class. A. since   B. in order that  C. as if    D. unless
小张在日记里写道:“放学时,铃声是悦耳的;考试时,铃
小张在日记里写道:“放学时,铃声是悦耳的;考试时,铃声是紧张的。”这说明 A.真理是绝对性和相对性的统一                   B.意识
People living in the UK take quite a few holidays abroad and in this country eac
People living in the UK take quite a few holidays abroad and in this country each year.Choices made about where to go, how to get there and what to do while there can either benefit or harm the envi
三角形的三边长为3,a,7,如果这个三角形中有两条边相等
三角形的三边长为3,a,7,如果这个三角形中有两条边相等,那么它的周长是.
关于磁场和磁感线,下列说法中正确的是             
关于磁场和磁感线,下列说法中正确的是                                                              (    )     
—How ____ is the subway station? —About three miles _______. A. far, far  
—How ____ is the subway station? —About three miles _______. A. far, far              B. away, away              C. far, away           D. away, for
宁夏回族自治区建区50来,经济发展迅速,人民生活不断改善
宁夏回族自治区建区50来,经济发展迅速,人民生活不断改善。全区生产总值增长了80多倍,财政总收入增长了近400倍;城镇居民人均可支配收入、农民

最新题目