新高考數(shù)學(xué)二輪復(fù)習(xí)培優(yōu)專題02 復(fù)數(shù)小題綜合 （原卷版）

試卷第=page11頁(yè)，共=sectionpages33頁(yè)專題02復(fù)數(shù)小題綜合一、單選題1．（2023春·江蘇揚(yáng)州·高三統(tǒng)考開(kāi)學(xué)考試）若復(fù)數(shù)z滿足SKIPIF1<0（SKIPIF1<0為虛數(shù)單位），則復(fù)數(shù)z在復(fù)平面內(nèi)所對(duì)應(yīng)的點(diǎn)在（

）A．第一象限 B．第二象限 C．第三象限 D．第四象限2．（2023春·江蘇蘇州·高三統(tǒng)考開(kāi)學(xué)考試）記SKIPIF1<0是虛數(shù)單位，復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0（

）A．－2或SKIPIF1<0 B．SKIPIF1<0或SKIPIF1<0 C．SKIPIF1<0或2 D．SKIPIF1<0或23．（2023春·廣東·高三校聯(lián)考階段練習(xí)）若復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0，則（

）A．SKIPIF1<0的實(shí)部為SKIPIF1<0 B．SKIPIF1<0的虛部為SKIPIF1<0C．SKIPIF1<0在復(fù)平面對(duì)應(yīng)的點(diǎn)在第四象限 D．SKIPIF1<0的模長(zhǎng)為SKIPIF1<04．（2023·湖南邵陽(yáng)·統(tǒng)考二模）在復(fù)平面內(nèi)，復(fù)數(shù)SKIPIF1<0（SKIPIF1<0為虛數(shù)單位）對(duì)應(yīng)的點(diǎn)位于（

）A．第一象限 B．第二象限 C．第三象限 D．第四象限5．（2023·山東威?！そy(tǒng)考一模）若SKIPIF1<0是純虛數(shù)，則a＝（

）A．－1 B．1 C．－9 D．96．（2023·湖南婁底·高三漣源市第一中學(xué)校聯(lián)考階段練習(xí)）設(shè)復(fù)數(shù)SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023秋·遼寧葫蘆島·高三統(tǒng)考期末）設(shè)SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2023·江蘇泰州·統(tǒng)考一模）在復(fù)平面內(nèi)，復(fù)數(shù)SKIPIF1<0對(duì)應(yīng)的點(diǎn)關(guān)于直線SKIPIF1<0對(duì)稱，若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．2 C．SKIPIF1<0 D．49．（2023春·廣東揭陽(yáng)·高三?？茧A段練習(xí)）已知復(fù)數(shù)SKIPIF1<0，SKIPIF1<0滿足：SKIPIF1<0在復(fù)平面中對(duì)應(yīng)的點(diǎn)為SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0不可能是下列的（

）A．1 B．SKIPIF1<0 C．i D．SKIPIF1<010．（2023秋·江蘇無(wú)錫·高三統(tǒng)考期末）“SKIPIF1<0”是“復(fù)數(shù)SKIPIF1<0為純虛數(shù)”的（

）．A．充分不必要條件 B．必要不充分條件C．充要條件 D．既不充分也不必要條件11．（2023秋·江蘇蘇州·高三統(tǒng)考期末）已知SKIPIF1<0（SKIPIF1<0，i為虛數(shù)單位），則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<012．（2023春·江蘇南通·高三?？奸_(kāi)學(xué)考試）若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<013．（2023春·廣東·高三校聯(lián)考階段練習(xí)）若復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0（其中SKIPIF1<0是虛數(shù)單位），復(fù)數(shù)SKIPIF1<0的共軛復(fù)數(shù)為SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．214．（2023·浙江嘉興·統(tǒng)考模擬預(yù)測(cè)）若復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<015．（2023秋·浙江湖州·高三安吉縣高級(jí)中學(xué)?？计谀┰O(shè)復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0（其中SKIPIF1<0為虛數(shù)單位），則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<016．（2023秋·浙江嘉興·高三統(tǒng)考期末）若復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0（SKIPIF1<0為虛數(shù)單位），則SKIPIF1<0（

）A．SKIPIF1<0 B．1 C．SKIPIF1<0 D．217．（2023春·湖南·高三校聯(lián)考階段練習(xí)）歐拉恒等式SKIPIF1<0（i為虛部單位，SKIPIF1<0為自然對(duì)數(shù)的底數(shù)）被稱為數(shù)學(xué)中最奇妙的公式，它是復(fù)分析中歐拉公式SKIPIF1<0的特例：當(dāng)自變量SKIPIF1<0時(shí)，SKIPIF1<0，得SKIPIF1<0．根據(jù)歐拉公式，復(fù)數(shù)SKIPIF1<0的虛部為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<018．（2023·湖南·模擬預(yù)測(cè)）設(shè)SKIPIF1<0是虛數(shù)單位，已知復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0SKIPIF1<0，且復(fù)數(shù)SKIPIF1<0是純虛數(shù)，則實(shí)數(shù)SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<019．（2023·湖北·統(tǒng)考模擬預(yù)測(cè)）若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<020．（2023春·湖北·高三統(tǒng)考階段練習(xí)）若SKIPIF1<0（SKIPIF1<0為虛數(shù)單位），則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<021．（2023春·山東濟(jì)南·高三統(tǒng)考開(kāi)學(xué)考試）已知復(fù)數(shù)SKIPIF1<0，其中i是虛數(shù)單位，則SKIPIF1<0在復(fù)平面內(nèi)所對(duì)應(yīng)的點(diǎn)在（

）A．第一象限 B．第二象限C．第三象限 D．第四象限22．（2023·山東淄博·統(tǒng)考一模）設(shè)復(fù)數(shù)SKIPIF1<0，則SKIPIF1<0（

）A．0 B．1 C．2 D．323．（2023·山東·濰坊一中校聯(lián)考模擬預(yù)測(cè)）已知復(fù)數(shù)SKIPIF1<0在復(fù)平面內(nèi)的對(duì)應(yīng)點(diǎn)為SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<024．（2023春·河北·高三校聯(lián)考階段練習(xí)）復(fù)數(shù)SKIPIF1<0是虛數(shù)單位，則SKIPIF1<0（

）A．5 B．SKIPIF1<0 C．3 D．SKIPIF1<025．（2023·江蘇南通·統(tǒng)考模擬預(yù)測(cè)）若復(fù)數(shù)z滿足SKIPIF1<0（SKIPIF1<0為虛數(shù)單位），則SKIPIF1<0（

）A．2 B．SKIPIF1<0 C．2SKIPIF1<0 D．426．（2022秋·江蘇南京·高三?？计谀┰O(shè)SKIPIF1<0為實(shí)數(shù)，若存在實(shí)數(shù)SKIPIF1<0，使得SKIPIF1<0為實(shí)數(shù)（SKIPIF1<0為虛數(shù)單位），則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<027．（2023春·浙江·高三校聯(lián)考開(kāi)學(xué)考試）復(fù)數(shù)SKIPIF1<0，復(fù)數(shù)SKIPIF1<0滿足SKIPIF1<0，則下列關(guān)于SKIPIF1<0的說(shuō)法錯(cuò)誤的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0的虛部為SKIPIF1<0 D．SKIPIF1<0在復(fù)平面內(nèi)對(duì)應(yīng)的點(diǎn)在第二象限二、多選題28．（2023·廣東惠州·統(tǒng)考模擬預(yù)測(cè)）已知復(fù)數(shù)SKIPIF1<0，則下