问题 填空题
与曲线
x2
24
+
y2
49
=1
共焦点并且与曲线
x2
36
-
y2
64
=1
共渐近线的双曲线方程为______.
答案

由题意知椭圆

x2
24
+
y2
49
=1焦点在y轴上,且c=
49-24
=5,

双曲线

x2
36
-
y2
64
=1的渐近线方程为y=±
4
3
x,

设欲求双曲线方程为

y2
a2
-
x2
b2
=1,

c=5
a
b
=
4
3
c2=a2+b2
,解得a=4,b=3,

所以欲求双曲线方程为

y2
16
-
x2
9
=1.

故答案为

y2
16
-
x2
9
=1.

完形填空
Yesterday my grandfather told me about his early days. When he left school, he found a job in a post office. He worked hard in the    . Soon he had more money than his friends   his hard work. It seemed that he would have a bright future.
When he was 25 years old, however, he began to         his job. He wanted a more exciting one, so he left the post office. Two months later, he found a new job in a big company. Workers in this company   traveled a lot. At first he really enjoyed the traveling.   after a year, he began to hate it. He had to   and he was always in a car or on a train. The worst thing was he couldn’t make any new friends! Even so, his boss was not satisfied with him. Two years later he had to leave the company.
He was    at that time, so he sold his house. He had to accept a part time job in a book shop. He was surprised to find he loved it! He made new friends every day and he enjoyed reading books. Three years later, he   the shop owner’s daughter. Soon they had their first child. In the next ten years, they had another three      and four more book shops! He became very rich indeed.
“Life is   ,” he told me. “The most important thing is that you should always try your best. Never give up!”
小题1:
A.factoryB.theatre C.bankD.post office
小题2:
A.becauseB.because ofC.as a resultD.while
小题3:
A.dislikeB.loveC.likeD.enjoy
小题4:
A.almostB.usuallyC.seldom D.never
小题5:
A.So B.AndC.ButD.Though
小题6:
A.stay in one placeB.move aroundC.make noise D.make a wish
小题7:
A.happyB.energetic C.richD.poor
小题8:
A.marriedB.understoodC.metD.visited
小题9:
A.sistersB.brothersC.childrenD.cousins
小题10:
A.boringB.important C.necessary D.wonderful
单项选择题