2024年1月8日发(作者：甘肃一模理科数学试卷)

2016年能力测试（机试）样题

数学

一、单项选择题：每题所设选项中只有一个正确答案，多选、错选或不选均不得分。

1．(单选题)如图，我们知道，圆环也可以看作线段AB绕圆心O旋转一周所形成的平面图形，又圆环的面积Sπ(R2r2)(Rr)2πRr

2所以，我们可以认为：圆环的面积等于是以线段ABRr为宽，以AB的中点绕圆心Rr为长的矩形面积．

O旋转一周所形成的圆的周长2π2请你将上述想法拓展到空间，并解决下列问题：

如果将点集M{(x,y)|(xd)yr}（其中0rd）绕y轴旋转一周，则所形222成的旋转体的体积是

A．2πrd B．2πrd

C．2πrd

D．2πrd

2222A22BORr

二、不定项选择题。每题所设选项中至少有一个正确答案，多选、少选、错选或不选均不得分。

2．(多选题)设f(x)3ax22bxc，若abc0，f(0)0，f(1)0．下列说法正确的有( )

A．a0

B．2b1

aC．f(x)在(0,1)内有且仅有一个零点

D．f(x)的图象与x轴有两个交点

物理

一、单项选择题。每题所设选项中只有一个正确答案，多选、错选或不选均不得分。本部分含20题，每题1分，共20分。考试时间30分钟。

3.如图的大型电子地磅的电路图，电源电动势为E，内阻不计。不称物体时滑片P在A端，滑动变阻器接入电路的有效电阻最大，电流较小；称重物时在压力作用下使滑片下滑，滑动变阻器的有效电阻变小，电流变大，这样把电流对应的重力值刻到刻度盘上，就可以读出被称物体的重力值。若滑动变阻器上A、B间的距离为L，最大阻值等于定值电阻R0，已知两弹簧的总弹力与形变量成正比，比例系数为k，则所称的重力G与电流大小I的关系为

（ ）

A

G2kLEkL B G＝kL

IR0PAAR0BR0C

GEkL D G＝kIL

IR0二、多项选择题。每题所设选项中至少有两个正确答案，多选、少选、错选或不选均不得分。本部分含5题，每题2分，共10分。考试时间15分钟。

4.对位移和路程理解正确的是：（ ）

A.路程表示位移的大小 B.位移是个矢量

C.路程是物体实际运动轨迹的长度 D.当物体作直线运动时，位移大小和路程是相同的

三、不定项选择题。每题所设选项中至少有一个正确答案，多选、少选、错选或不选均不得分。本部分含 5题，每题2分，共10分。考试时间15分钟。

5.土星外层上有一个环，为了判断它是土星的一部分还是土星的卫星群，可以测量环中各层的线速度v与该层到土星中心的距离R之间的关系来判断( )

A 若v∝R，则该层是土星的一部分

B 若v²∝R，则该层是土星的卫星群

C 若v∝1/R，则该层是土星的一部分

D 若v²∝1/R，则该层是土星的卫星群

三、英语

Reading Comprehension (5 passages,20 scores,30 minutes)

Directions: There are 5 passages in this part. Each passage is followed by 4

questions or unfinished statements. For each of them there are four choices marked A,

B, C and D. You should decide on the best choice and write the corresponding letter

on the Answer Sheet.

Passage 1

Google Glass, a wearable computer, will not go on sale for many months. But

the resistance is already under way. The glasses-like device, which allows users to

access the Internet, take photos and shoot videos, has been banned by a bar in Seattle,

because according to the bar’ owner, the bar was \"kind of a private place.\" Besides,

large parts of Las Vegas will not welcome wearers.

Google Glass is a pair of glasses with a tiny computer attached to the right earpiece

and has the ability to capture any chance encounter and broadcast it to millions. As

personal technology becomes increasingly invisible, it is causing questions of whether

it will rob people of privacy.

As Google sees it, Glass is a revolutionary new way to quickly and effortlessly

connect people with information. Google stresses that Glass is a work in its early

stage, with test versions now being released to 2,000 developers. The company hopes

they\'ll be seen as normal and become accepted in the same way smart phones are. The

wearer has to speak or touch the device to activate(激活) it, and must look directly at

someone to take a photograph or video of them. \"We are thinking very carefully about

how we design Glass because new technology always raises new issues,\" said

Courtney Hohne, a Google spokeswoman.

Critics view Glass as an unfriendly new technology that could rob people of

what few privacy they have left. They think Google is downplaying the privacy and

security risks. According to Google, it\'s obvious when someone is taking pictures or

recording a video on Glass. Developers, however, are pushing the limits. One created

a small sensation in tech circles with a program that eliminated the need for gestures

or voice commands. To snap a picture, all the user needed to do was wink(眨眼).

Imagine a surveillance(监控) device that you could wear on your body all day

without anyone being the wiser. Out on the street, in the subway, at a bar or cafe,

people would never know whether the stranger next to them is secretly recording their

every move. It is really a privacy disaster.

1. What can we know from the first paragraph?

A. Google Glass sells well in the market.

B. Google Glass is not welcomed by customers.

C. Google Glass can not be used in private places.

D. Google Glass has heard some sort of disapproval.

2. According to Google Company, which of the following statements about Google

Glass is NOT true?

A. Google Glass is an immature product.

B. They are acting cautiously in designing Google Glass.

C. People can take photos without eyeing the objects.

D. Google Glass is just as normal as a smart phone.

3. The underlined part “pushing the limits” in Paragraph 4 refers to _______.

A. speeding up the production time of Google Glass

B. improving the functions of Google Glass

C. objecting to what Google has said

D. experimenting with something risky

4. Which of the followings is the best title of this passage?

A. The Disadvantages of Google Glass.

B. A New Way to Gain More Information.

C. Privacy Concerns of Google Glass.

D. A Revolutionary Technology.


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