第七章復(fù)數(shù)單元測試（基礎(chǔ)卷）一、單選題1．復(fù)數(shù)z＝1－2i的虛部和模分別是（

）A．－2，SKIPIF1<0 B．－2i,5 C．－2,5 D．－2i，SKIPIF1<02．若復(fù)數(shù)z滿足SKIPIF1<0，其中SKIPIF1<0是虛數(shù)單位，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．2 C．SKIPIF1<0 D．33．已知復(fù)數(shù)SKIPIF1<0，則SKIPIF1<0（

）A．0 B．1 C．SKIPIF1<0 D．24．已知SKIPIF1<0是虛數(shù)單位，若SKIPIF1<0且SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．若復(fù)數(shù)SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．設(shè)復(fù)數(shù)SKIPIF1<0，則復(fù)數(shù)z的共軛復(fù)數(shù)SKIPIF1<0等于（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知SKIPIF1<0是虛數(shù)單位，則復(fù)數(shù)SKIPIF1<0對應(yīng)的點(diǎn)所在的象限是（

）A．第一象限 B．第二象限 C．第三象限 D．第四象限8．設(shè)i為虛數(shù)單位，SKIPIF1<0，“復(fù)數(shù)SKIPIF1<0不是純虛數(shù)“是“SKIPIF1<0”的（

）A．充分而不必要條件 B．必要而不充分條件C．充分必要條件 D．既不充分也不必要條件二、多選題9．在復(fù)數(shù)范圍內(nèi)，方程SKIPIF1<0的虛數(shù)根是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．已知復(fù)數(shù)SKIPIF1<0（i是虛數(shù)單位），SKIPIF1<0是SKIPIF1<0的共軛復(fù)數(shù)，則下列的結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．已知SKIPIF1<0為虛數(shù)單位，則下面命題正確的是（

）A．若復(fù)數(shù)SKIPIF1<0，則SKIPIF1<0.B．復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0，SKIPIF1<0在復(fù)平面內(nèi)對應(yīng)的點(diǎn)為SKIPIF1<0，則SKIPIF1<0.C．若復(fù)數(shù)SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0.D．復(fù)數(shù)SKIPIF1<0的虛部是1.12．已知a，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則下列說法正確的是（

）A．z的虛部是SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．z對應(yīng)的點(diǎn)在第二象限三、填空題13．若SKIPIF1<0是純虛數(shù)，則復(fù)數(shù)z的實(shí)部與虛部的和是______________．14．已知虛數(shù)SKIPIF1<0滿足SKIPIF1<0是實(shí)數(shù)，則SKIPIF1<0______．15．設(shè)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0復(fù)平面上對應(yīng)的點(diǎn)分別為SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0．若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則四邊形SKIPIF1<0的面積為______．16．已知SKIPIF1<0是虛數(shù)單位.若SKIPIF1<0為實(shí)數(shù)，則SKIPIF1<0___________，SKIPIF1<0的最小值為___________.四、解答題17．當(dāng)實(shí)數(shù)x取何值時，SKIPIF1<0是實(shí)數(shù)?虛數(shù)?純虛數(shù)?18．已知實(shí)數(shù)SKIPIF1<0，寫出下列復(fù)數(shù)的輻角主值．(1)a；(2)SKIPIF1<0；(3)SKIPIF1<0；(4)SKIPIF1<0．19．已知復(fù)數(shù)SKIPIF1<0（SKIPIF1<0）．（1）若復(fù)數(shù)z為純虛數(shù)，求實(shí)數(shù)a的值；（2）若復(fù)數(shù)z在復(fù)平面內(nèi)對應(yīng)的點(diǎn)在第二象限，求實(shí)數(shù)a的取值范圍．20．復(fù)數(shù)SKIPIF1<0，當(dāng)m取何實(shí)數(shù)時：(1)z為實(shí)數(shù)；(2)z為純虛數(shù)；(3)z對應(yīng)的點(diǎn)在復(fù)平面上實(shí)軸的上半部分．21．設(shè)虛數(shù)z滿足SKIPIF1<0．（1）求SKIPIF1<0；（2）若SKIPIF1<0是實(shí)數(shù)，求實(shí)數(shù)a的值．22．設(shè)復(fù)數(shù)