第一节语法和词汇知识(共15个小题;每小题1分,满分15分)
从A,B,C,D四个选项中,选出可以填人空白处的最佳选项,并在答题卡上将该项涂黑。
21 Anyone who always______ a difficult situation can’t become a successful man.
A. comes up with B. comes away with
C. comes to term with D. comes to terms with
22 Americans eat______ vegetables per person today as they did in 1990.
A. more than twice B. as twice as many
C. twice as many as D. more than twice as many
23 __Would you do me a favour and give me a ride?
__ ______.
A. Never mind B. With pleasure
C. Yes, that’s right D. No trouble
24 The United States won most of the track and field events.______, in swimming, the top three places went to Americans.
A. Likely B. Probably
C Similarly D. Generally
25 It is cold in the room. You must have turned off the steam, ______ you?
A. don’t B. didn’t
C. haven’t D. mustn’t
26 ______ and happy, Tony stood up and accepted the prize.
A. Surprising B. Surprised
C. Being surprised D. To be surprising
27 Follow your doctor’s advice, ______ your cough will get worse.
A. or B. and
C. then D. so
28 The manager has to go on a business trip. His company will be left in______ of his secretary.
A. charge B. the charge
C. need D. place
29 Was it______ it snowed last night that you didn’t come?
A. that B. because
C. why D. if
30 I would rather______ the professor and I would rather you______ for him at once.
A. invite; sent B. invited; send
C. inviting; sending D. invite; sending
31 Tom is the only one of the students who______ a winner of scholarship for four years.
A. are B. have been
C. has been D. is
32 The Beatles singing Yesterday______ memories whenever we hear it.
A. brings down B. brings back
C. brings out D. brings up
33 How long do you think______ the construction company finishes the project?
A. it will be before B. will it be until
C. will it be when D. it will be that
34 Apples are usually sold by______ weight, and eggs are sometimes sold by______ dozen.
A. the; the B. /; a
C. /; the D. the; a
35 It is said that the famous football star is now willing to play for______ would pay him three million dollars a year.
A. anyone B. whomever
C. no matter who D. whoever
22.(本题满分14分)已知椭圆
的离心率为
,右焦点为
,直线
经过点
且与椭圆交于
两点,
为坐标原点。
(Ⅰ)求椭圆的方程;
(Ⅱ) 若
是椭圆上的一个动点,求
的最大值和最小值;
(Ⅲ)当直线
绕点
转动时,试问:在
轴上是否存在定点
,使
为常数,
若存在,求出定点
的坐标;若不存在,请说明理由。
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