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
第一节:单项填空(共20小题;每小题0.5分,满分10分)
从A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题纸上将该选项标号涂黑。
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.设复数满足,且在复平面上对应的点在第二、四象限的角平分线上,,求和的值.
解:设
又,.
在复平面上对应的点在第二、四象限的角平分线上,
它的实部与虚部互为相反数,
,即.
代入,得,.
或.
当时,
,,即,
解得或;
当时,
,同理可解得或.
14.设为共轭复数,且,求和.
解:设,则
由条件得,
即,
由复数相等的充要条件,得
解得
13.证明:在复数范围内,方程(为虚数单位)无解.
证明:原方程化简为.
设,代入上述方程得.
将代入,得.
,
方程无实数解,原方程在复数范围内无解.
12.已知复数满足,且是纯虚数,则复数的值为 .
答案:0或
11.设,若对应的点在直线上,则的值是 .
答案:
10.已知复数,,则的最大值与最小值之和为 .
答案:
9.已知,则复数,对应点的轨迹是 .
答案:以为圆心,以2为半径的圆
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