问题 选择题
已知点P在△ABC内(包括边界),且
AP
AB
AC
,若对于满足条件的λ和μ,都有|aλ+bμ|≤2成立,则动点Q(a,b)形成的平面区域的面积(  )
A.8B.16C.32D.64
答案

因为三角形ABC内一点,且

AP
AB
AC

当p点在BC上时,λ+μ=1,

当P在三角形ABC内.

∴0≤λ+μ≤1

0≤λ≤1,0≤μ≤1,

要使|aλ+bμ|≤2成立,

则当λ=0,μ=1时,或μ=0,λ=1时不等式恒成立,

|a|≤2
|b|≤2

则动点Q(a,b)对应的平面区域为矩形,

∴矩形的面积为4×4=16.

故选:B

判断题
阅读理解

阅读理解。

     When I was small and my grandmother died, I couldn't understand why I had no tears. But that night

when my dad tried to cheer me up, my laugh turned into crying.

     So it came as no surprise to learn that researchers believe crying and laughing come from the same

part of the brain. Just as laughing has many health advantages, scientists are discovering that so, too,

does crying.

   Whatever it takes for us to reduce pressure is important to our emotional (情感的) health, and crying

seems to study found that 85 percent of women and 73 percent of men report feeling better after crying.

   Besides, tears attract help from other people. Researchers agree that when we cry, people around us

become kinder and friendly and they are more ready to provide support and comfort. Tears also enable

us to understand our emotions better; sometimes we don't even know we' re very sad until we cry. We

learn about our emotions through Crying, and then we can deal with them.

   Just as crying can be healthy, not crying - holding back tears of anger, pain or suffering - can be bad

for physical (身体的) health, Studies have shown that too much control of emotions can lead to high

blood pressure, heart problems and some other illnesses. If you have a health problem, doctors will

certainly not ask you to cry. But when you feel like crying, don't fight it. It's a natural -and

healthy-emotional response (反应).

1. Why didn't the author cry when her grandmother died?

A. Because her father did not --ant her to feel too sad.

B. Because she did not love her grandmother.

C. Because she was too shy to cry at that time.   

D. Tie author doesn't give the explanation.

2. According to the author, which of the following statements is true? 

A. Crying is the best way to get help from others.

B. Fighting back tears may cause some health problems.

C. We will never know our deep feelings unless we cry.

D. We must cry if we want to reduce pressure.

3. What might be the most suitable title for the text?

A. Power of Tears              

B. How to Keep Healthy

C. Why We Cry                

D. A New Scientific Discovery