问题 单项选择题

由曲线x2=4y,x2=-4y,x=4,x=-4围成的图形绕y轴旋转一周所得旋转体的体积为Vl;满足x2+y2≤16,x2+(y-2)2≥4,x2+(y+2)2≥4的点(x,y)组成的图形绕y轴旋转一周所得旋转体的体积为V2,则()

A.V1=(1/2)V2

B.V1=(2/3)V2

C.V1=V2

D.V1=2V2

答案

参考答案:C

解析:

如题图,两图形绕y轴旋转所得旋转体夹在两相距为8的平行平面之间,用任意一个与y轴垂直的平面截这两个旋转体,设截面与原点距离为|y|,则所得截面面积

S1=π(42-4|y|),

S2=π(42-y2)-π[4-(2-|y|)2]=π(42-4|y|)∴S1=S2

由祖暅原理知,两几何体体积相等,

∴V1=V2.故选C.

阅读理解
阅读理解。
         As we know, some children live in the countryside, and some live in the city. Their lives are a little
different, but they also have many of the same dreams.
In the countrysideIn the city
Ways of going to schoolOn foot or by bikeBy bus or car
Teaching toolsRecorders (录音机) and radiosDVD, TVs, recorders, radios,
loud-speakers, CAI
EyesightLess than 45% are near-sighted
(近视)
About 75% are near-sighted
After-class
activities
Playing with ballsEnglish corners and other
school clubs
HomeworkHomework can usually be finished at schoolHomework never ends
Chores (杂事)
to do

Washing, cleaning, farming, looking after younger sisters
or brothers, cooking

Usually no chores   
FamilyBig familiesSmall families
Dream jobsTeachers, drivers, scientists, nurses…Scientists, doctors, computer
programmers, managers …
1. The survey was done among the ________ between the countryside and the city.
[ ]
A. parents
B. students
C. teachers
D. drivers
2. The children in the city usually do ________ according to the survey.
[ ]
A. cooking
B. cleaning
C. washing
D. no housework
3. About ________ of children in the countryside have good eyesight, while ________ of children in the
    city have good eyesight.
[ ]

A. 55%; 25%
B. 45%; 25%
C. 45%; 75%
D. 55%; 75%

4. Which is NOT mentioned in the survey?
[ ]
A. Homework.
B. Subjects.
C. Dream jobs.
D. After-class activities.
5. Which of the following is RIGHT according to the survey?
[ ]
A. A classroom in the countryside often has TV sets.
B. Children in the countryside often join the school clubs.
C. Children in the city often have much homework to do.
D. Children in the city often have big families.
单项选择题 共用题干题