Question

當(dāng)實(shí)數(shù)x取什么值時(shí),復(fù)數(shù)x²-5x+6+(x²-3x+2)i表示的點(diǎn)

(1)在實(shí)軸上？(2)在虛軸上？

Answer 1

解：(1)令x²-3x+2=0,得x=1或x=2,所以當(dāng)x=1或x=2時(shí),復(fù)數(shù)x²-5x+6+(x²-3x+2)i表示的點(diǎn)在實(shí)軸上.

(2)令x²-5x+6=0,得x=2,x=3.所以當(dāng)x=2或x=3時(shí),復(fù)數(shù)x²-5x+6+(x²-3x+2)i表示的點(diǎn)在虛軸上.