Question

（2013•上海）若復(fù)數(shù)z₁，z₂滿足z₁=

.

z

2，則z₁，z₂在復(fù)數(shù)平面上對(duì)應(yīng)的點(diǎn)Z₁，Z₂（　�。�

A．關(guān)于x軸對(duì)稱

B．關(guān)于y軸對(duì)稱

C．關(guān)于原點(diǎn)對(duì)稱

D．關(guān)于直線y=x對(duì)稱

Answer 1

分析：由題意可得z₁，z₂的實(shí)部相等，虛部互為相反數(shù)，故z₁，z₂在復(fù)數(shù)平面上對(duì)應(yīng)的點(diǎn)Z₁，Z₂關(guān)于x軸對(duì)稱．

解答：解：若復(fù)數(shù)z₁，z₂滿足z₁=

.

z

2，則z₁，z₂的實(shí)部相等，虛部互為相反數(shù)，故z₁，z₂在復(fù)數(shù)平面上對(duì)應(yīng)的點(diǎn)Z₁，Z₂關(guān)于x軸對(duì)稱，
故選A．

點(diǎn)評(píng)：本題主要考查共軛復(fù)數(shù)的定義，復(fù)數(shù)與復(fù)平面內(nèi)對(duì)應(yīng)點(diǎn)間的關(guān)系，屬于基礎(chǔ)題．