问题 解答题
已知点A(1,1),B(2,2),点P在直线y=
1
2
x
上,求|PA|2+|PB|2取得最小值时P点的坐标.
答案

设P(2t,t),

则|PA|2+|PB|2=(2t-1)2+(t-1)2+(2t-2)2+(t-2)2=10t2-18t+10

t=

9
10
时,|PA|2+|PB|2取得最小值,此时有P(
9
5
9
10
)

|PA|2+|PB|2取得最小值时P点的坐标为(

9
5
9
10
)

完形填空
These days it is found that school students hardly have any sports. Is it because they have no interests in sports? It may not be true. They often say they have  1  more important things to do.
What are these important things? Exams! They have to  2  themselves ready for all kinds of exams and tests in school. So many of them almost become bookworms ( 书虫 ). In the past, they could do  3  they liked in summer holidays, but now they have to  4  all their time preparing for the exams. So  5  have kept them away from going in for sports.
Because of the pressure from  6  their parents and teachers, they  7  to work harder and spend most of their time on books. As for the students themselves, they don't want to  8  the exams. So it is necessary to give up their school sports and give all their spare time to their studies.
It's true that a good education cannot go  9  physical training and that if a quick mind hardly goes along with a strong body, you can  10  do anything well, and then how can you make great success in life?
小题1:
A.anotherB.otherC.muchD.any
小题2:
A.makeB.haveC.getD.let
小题3:
A.some thingB.somethingC.everythingD.nothing
小题4:
A.giveB.spendC.takeD.cost
小题5:
A.teachersB.parentsC.studiesD.holidays
小题6:
A.eitherB.bothC.neitherD.none of
小题7:
A.tryB.hopeC.haveD.enjoy
小题8:
A.missB.loseC.leaveD.fail
小题9:
A.withoutB.withC.outD.in
小题10:
A.alwaysB.everC.neverD.still
单项选择题