问题 填空题

在“研究平抛物体的运动”的实验中,某同学只记录了A、B、C三点,各点的坐标如图所示,则物体运动的初速度为______m/s,初始位置的坐标为______(单位为cm,g=10m/s2).

答案

从坐标中可看出从A→B→C的水平位移一样,都为△x=10cm,说明各段的时间相等,设为T,可知:

△x=v0T,分析A→B→C的竖直位移依次相差△h=10cm,由匀变速直线运动的规律得:△h=gT2

 联立可求出初速度v0=△x 

g
△h
,代入数值得v0=0.1×
10
0.1
m/s=1.0m/s.

由中间时刻的瞬时速度等于这段时间的平均速度得B的竖直速度:VBy=

hAC
2T
=
hAC
2
△h
g
=
hAC
2
g
△h
=
0.4
2
×
10
0.1
m/s=2m/s,

又VBy=VAy+gT,∴VAy=VBy-gT=2m/s-10×0.1m/s=1m/s,又VAy=gt,∴从抛出到A点的时间t=

VAy
g
=
1
10
s=0.1s,

 因此从抛出到a点的水平位移x=v0t=1.0×0.1 m=0.1m=10cm,

 竖直位移y=

1
2
gt2=
1
2
×10×(0.1) 2
m=0.05m=5cm,

 那么物体开始做平抛运动的位置坐标(-10cm,-5cm).

故答案:1,(-10,-5).

多项选择题

中国公民冯某、秦某、许某、严某四人准备出资设立昊天有限责任公司(下称昊天公司)。四人拟出资100万,其中冯某以价值30万元的厂房和价值20万的知识产权出资;秦某出资30万元(现金);严某出资15万元(现金);许某出资5万元(现金)。四人拟定了公司章程,约定公司不设董事会、监事会。由秦某担任执行董事,冯某任公司的监事,并且指定秦某办理设立登记事项。
秦某同时为其个人投资的长翔有限责任公司(下称长翔公司)的总经理,长翔公司欠伟诚公司货款50万元未还。秦某与伟诚公司达成协议约定,秦某将其在昊天公司的20%的股权质押给伟诚公司。届期,长翔公司未还款,伟诚公司请求秦某履行协议,秦某以“此事尚未与其商量”为由搪塞,伟诚公司遂拟通过诉讼来解决问题。
公司成立3年后,一次红利也未分过,目前亏损严重。冯某向秦某提出解散公司,但秦某不同意。冯某决定转让股权,退出公司,但一时未找到受让人。

如果伟诚公司提起民事诉讼,根据《民事诉讼法》和《物权法》的规定,下列说法正确的是( )。

A.秦某不可以就其在昊天公司的股权质押给伟诚公司

B.伟诚公司应在还款期限届满之日起2年内,向法院提起诉讼,要求长翔公司清偿债务

C.法院收到伟诚公司的起诉状之后,应当在10日内决定是否受理

D.伟诚公司可以在合同履行地或长翔公司所在地起诉,要求长翔公司承担违约责任

E.人民法院审理民事案件,应当在开庭5日前通知当事人和其他诉讼参与人

阅读理解

Being beautiful means a lot to teenage girls. Once it did to me too. I was the vainest person in the world, but that all changed one December night.

It was a Thursday, and I was getting ready for the wrestling tournament the following day. I was so excited; it was going to be my first tournament as a cheerleader. I walked past the mirror and stopped to check my appearance. I noticed my eyebrows were a little bushy, and that’s when my vanity kicked in. The brows could be easily fixed with the waxing kit I had purchased. I put the jar of wax in the microwave. But instead of heating the wax for 30 seconds, I pressed too many zeros and heated it for three minutes. As I reached for the jar, I dropped it, spilling it all over myself.

My mother came running when she heard my screams. The hot wax was rolling down my face and arm. My mom took a wet washcloth and tried to wash the wax off my face. This proved to be a bad idea, because the wax was honey based, and it pulled my skin off with the wax.

The 15-mile drive to the emergency room seemed to take hours. When we finally arrived, the nurse didn’t waste any time. They took me straight to a doctor and gave me extra-strength painkillers, so my mind was in confusion. The doctor explained how severe my burns really were: my arm was a combination of first-, second- and third-degree burns, and needed to stay bandaged. My face was first- and second-degree burns. If the wax had gotten any closer to my right eye, I would have lost my sight. I was covered in multi-colored “goop(药膏)”, wrapped, and sent home to recover.

I got up the next morning and the first thing I wanted to do was wash off the remaining wax. I unwrapped the bandages and “degooped”, letting warm water gently remove the rest of the wax. The next step was to do a self-evaluation of the damage. I couldn’t believe how horrible I looked. A horror-movie monster stared back at me from the mirror. All I could think was, my life is over. For someone as vain as me, this was very true. I thought I was going to be horribly disfigured(毁容的)for the rest of my life! All I could do was cry.

My mom made it worse by forcing me to go out in public. She dragged me to the grocery store and wherever else she felt like taking me. Everywhere we went, people had a million questions, none of which I wanted to answer. Then my mom declared she was going to put me through even more torture—I had to go to school on Monday. School only led to more questions from more people.

Now, two years later, my wounds have healed, leaving a few scars. I still feel self-conscious if I don’t wear make-up, and I’ve discovered that three-quarter length sleeves are wonderful for covering the scars on my arm.

After spending several months adjusting to this injury, I realized how vain I was. I had made beauty important, but it never was or will ever be that important. It took this event to teach me that no matter how much you change on the outside, you’re still the same person on the inside. 

小题1:After the accident, the writer has come to realize that ________.

A.teenage girls care too much about their appearance

B.loving beauty will necessarily make one disfigured

C.we can never judge a person merely by one’s looks

D.sometimes being beautiful can cost you something小题2:Which of the four statements is a fact?

A.The severe damage to her sight and face weren’t recovered.

B.The mother wished the writer to face her misfortune bravely.

C.From the lesson we conclude that “once bitten, twice frightened”.

D.The severe burns were caused by her mother’s lack of first-aid.小题3:The underlined sentence in the last paragraph is closest to ________.

A.beauty is not everything

B.a student shall not make up

C.beauty is not important

D.loving beauty will spoil you小题4:The author develops her composition by ________.

A.offering accurate facts

B.giving contrast and comparison

C.using logical arguments

D.representing own experiences小题5:Which of the following can be the best title?

A.The Price of Vanity

B.An Unexpected Ending

C.A Disfigured Girl

D.Beauty Ruins Everything