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【简答题】
单词拼写 根据下列句子所给汉语意思,写出空缺处各单词的正确形式. 1. The travel agent will make good 1 (准备) for our tour to London. 2. The police did not go near the 2 (抛弃) car, fearing it was a booby trap(饵雷). 3. Health officials have tried to raise people's 3 (意识) about AIDS. 4. To attract foreign tourists, Panama has 4 (调整) its economic laws. 5. The people who live 5 (对面) are always making a lot of noise. 6. Nowadays many countries are 6 (思考) on how to promote the growth of their economy. 7. We all agreed to 7 (推荐) the monitor's suggestions to the school governors. 8. There are two 8 (政治) parties in the US--the Democratic Party(民主党) and the Republican Party. 9. The bus is designed to 9 (运营) in all weather conditions. 10. When Mary finally appeared, she made a(n) 10 (歉意) to Tim for her being late again.
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【简答题】已知复数z 0 =3+2i，复数z满足z·z 0 =3z+z 0 ，求复数z和|z|。
【简答题】（1）已知Z是复数，求证：① |Z| 2 =Z? . Z ；② . Z- . Z = . Z -Z ； （2）已知z 1 ，z 2 是复数，若|z 1 - . z 2 |=|1-z 1 z 2 |，求证：|z 1 |，|z 2 |中至少有一个值为1．
【单选题】有下列命题：①若z∈C，则z 2 ≥0；②若z 1 ，z 2 ∈C，z 1 -z 2 ＞0，则z 1 ＞z 2 ；③若z 1 ，z 2 ∈C，则|z 1 +z 2 |=|z 1 |+|z 2 |．④z 1 +z 2 ∈R? z 2 = . z 1 其中，正确命题的个数为（ ）
A.
0
B.
1
C.
2
D.
3
【简答题】设z= 1 2 + 3 2 i ，那么z+z 2 +z 3 +z 4 +z 5 +z 6 =______．
【简答题】已知z∈C，下列各式中成立的是______．（填序号） ① |z | 2 =z? . z ； ②|z| 2 =z 2 ； ③z 2 ≥0； ④ . z 1 - z z =| z 1 |-| z 2 | ； ⑤|z 1 ?z 2 ?…?z n |=|z 1 |?|z 2 |?…?|z n |； ⑥|2-3i|＞|1-3i|．
【简答题】若复数z满足： z+ . z =2 ， z? . z =2 ，则 |z- . z | =______．
【简答题】设z的共轭复数是 . z ，若z+ . z =4，z? . z =8，则|z|=______．
【单选题】给出下列四个命题： ①若z∈C，|z| 2 =z 2 ，则z∈R； ②若z∈C， . z =-z ，则z是纯虚数； ③若z∈C，|z| 2 =zi，则z=0或z=i； ④若z 1 ，z 2 ∈C，|z 1 +z 2 |=|z 1 -z 2 |则z 1 z 2 =0．其中真命题的个数为（ ）
A.
1个
B.
2个
C.
3个
D.
4个
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