3. What did she think of the play?
She said she _______
A. had never seen a better one B. had never seen so better one
C. has never seen a so good one D. has never seen such a good one
2. The final examination is coming up soon, it is time for us to ______ our studies.
A. get down to B. get out C. get back for D. get over
第一節(jié):?jiǎn)雾?xiàng)填空(共20小題;每小題0.5分,滿(mǎn)分10分)
從A、B、C、D四個(gè)選項(xiàng)中,選出可以填入空白處的最佳選項(xiàng),并在答題紙上將該選項(xiàng)標(biāo)號(hào)涂黑。
1. Iraq has _____ too many wars, making people _______ a lot.
A. got through , pay B. looked through , face
C. gone through suffer D. passed through destroy
15.設(shè)復(fù)數(shù)滿(mǎn)足,且在復(fù)平面上對(duì)應(yīng)的點(diǎn)在第二、四象限的角平分線(xiàn)上,,求和的值.
解:設(shè)
又,.
在復(fù)平面上對(duì)應(yīng)的點(diǎn)在第二、四象限的角平分線(xiàn)上,
它的實(shí)部與虛部互為相反數(shù),
,即.
代入,得,.
或.
當(dāng)時(shí),
,,即,
解得或;
當(dāng)時(shí),
,同理可解得或.
14.設(shè)為共軛復(fù)數(shù),且,求和.
解:設(shè),則
由條件得,
即,
由復(fù)數(shù)相等的充要條件,得
解得
13.證明:在復(fù)數(shù)范圍內(nèi),方程(為虛數(shù)單位)無(wú)解.
證明:原方程化簡(jiǎn)為.
設(shè),代入上述方程得.
將代入,得.
,
方程無(wú)實(shí)數(shù)解,原方程在復(fù)數(shù)范圍內(nèi)無(wú)解.
12.已知復(fù)數(shù)滿(mǎn)足,且是純虛數(shù),則復(fù)數(shù)的值為 .
答案:0或
11.設(shè),若對(duì)應(yīng)的點(diǎn)在直線(xiàn)上,則的值是 .
答案:
10.已知復(fù)數(shù),,則的最大值與最小值之和為 .
答案:
9.已知,則復(fù)數(shù),對(duì)應(yīng)點(diǎn)的軌跡是 .
答案:以為圓心,以2為半徑的圓
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