问题 填空题
设双曲线x2-y2=1的两条渐近线与直线x=
2
2
围成的三角形区域(包含边界)为D,点P(x,y)为D内的一个动点,则目标函数z=x-2y的最小值为______.
答案

双曲线x2-y2=1的两条渐近线是y=±x,解方程组

y=x
x=
2
2
y=-x
x=
2
2
,,
y=x
y=-x
得到三角形区域的顶点坐标是A(
2
2
2
2
)
,B(
2
2
,-
2
2
)
,C(0,0).∴zA=
2
2
-2×
2
2
=-
2
2
zB=
2
2
-2× (-
2
2
)=
3
2
2
,zC=0.

∴目标函数z=x-2y的最小值为-

2
2

答案:-

2
2

阅读理解

阅读理解。

Dear Grandma,

     I've been in Bluelake for two months now. It's a beautiful small city. Schools here begin at the end

of August. I like my school and I'm having a great time teaching Art History here.

     I'm now living in an apartment with a friend. From the window of my bedroom, I can see a beautiful

green hill with flowers and trees. Many people go there to have a picnic or to fly kites. I enjoy taking a

walk there every day after work and watching the people. 

    I miss you very much, Grandma, and I hope you can come and visit me here some day.

                                                                                                                              Love,

                                                                                                                              Jude

1. What is Bluelake?

A. A city.

B. A park.

C. A school.

D. An art museum.

2. What is Jude doing in Bluelake?

A. Working.

B. Studying.

C. Visiting a friend.

D. Taking a vacation.

3. Which picture best shows what Jude sees out of his bedroom window?

         A                     B                         C                          D

单项选择题 A1/A2型题