2014年12月圆提高题型含详细答案

2014年12月07日数学组卷

一．选择题（共14小题）

2．（2013?宜丰县模拟）把一个半径是1分米的圆平均分成若干份，剪开拼成一个近似的长方形．这个长方形的周

×

5．（2012?建华区）一个圆形纸板的半径为r，如果将这个纸板延一条直径剪开，得到两个半圆，每个半圆的周长大

7．（2010?枞阳县）一辆自行车上用链条传动的大齿轮直径是8分米，小齿轮直径是4分米，当大齿轮转动50圈时，

C D

，则半圆的周长为

1

12．（2014?广州模拟）如图所示，求阴影部分面积列式正确的是（）

．C D．

13．（2014?金凤区模拟）如图是一个三角形，三个顶点分别是三个半径为r的圆的圆心，则在三角形内的圆的部分的面积是（）

πr2C

πr2

二．填空题（共3小题）

15．（2011?雁江区）在右图中，如果正方形的周长是16cm2，那么正方形的面积是_________cm2，圆的面积是_________cm2．

16．（2005?卢龙县）如图是以一个三角形的三个顶点作圆心，以1厘米长作半径画出的三个圆，三个阴影部分面积的和是_________．

17．（2013?黄冈模拟）有两个圆，它们的面积之和为2210平方厘米，大圆的周长是小圆周长的110%，问大圆的面积是_________平方厘米．

三．解答题（共7小题）

18．（2011?慈溪市模拟）如图，左边的阴影部分面积比上面的阴影部分面积大10.24平方厘米，那么图中圆的半径是多少厘米？

19．（2014?台湾模拟）三角形ABC是等腰直角三角形，求阴影部分的面积（单位：厘米，π取3.14）

20．（2014?台湾模拟）如图所示，求阴影部分面积

21．（2013?雨花台区模拟）张老师家新买的一套住房，平面图如下：（单位：米）

（1）请你算一算这套住房一共有多少平方米？

（2）请你选一间喜欢的卧室进行简单的装修，铺上边长是50厘米的正方形地板砖，如果每块地板砖的售价是20元，装修这间卧室需要多少元？

22．（2010?楚州区）求图中阴影部分的周长和面积．

23．（2006?宣汉县）求圆环的面积．（阴影部分的面积是56平方厘米）

2014年12月04日18025488的小学数学组卷

参考答案与试题解析

一．选择题（共14小题）

×

C D

厘米；

，则半圆的周长为

×

，所以此选项说法错误．

．C D．

×，用大扇形面积减去选扇形面积即可．

××

．

的面积是（）

πr2C

πr2

×π×π

π

二．填空题（共3小题）

15．（2011?雁江区）在右图中，如果正方形的周长是16cm2，那么正方形的面积是16cm2，圆的面积是25.12 cm2．

16．（2005?卢龙县）如图是以一个三角形的三个顶点作圆心，以1厘米长作半径画出的三个圆，三个阴影部分面积的和是 1.57平方厘米．

×

17．（2013?黄冈模拟）有两个圆，它们的面积之和为2210平方厘米，大圆的周长是小圆周长的110%，问大圆的面积是1210平方厘米．

=

x

x

x=2210

×，

三．解答题（共7小题）

18．（2011?慈溪市模拟）如图，左边的阴影部分面积比上面的阴影部分面积大10.24平方厘米，那么图中圆的半径是多少厘米？

得：图中

根据题干得出图中

19．（2014?台湾模拟）三角形ABC是等腰直角三角形，求阴影部分的面积（单位：厘米，π取3.14）

20．（2014?台湾模拟）如图所示，求阴影部分面积

22．（2013?雨花台区模拟）张老师家新买的一套住房，平面图如下：（单位：米）

（1）请你算一算这套住房一共有多少平方米？

（2）请你选一间喜欢的卧室进行简单的装修，铺上边长是50厘米的正方形地板砖，如果每块地板砖的售价是20元，装修这间卧室需要多少元？

×

23．（2010?楚州区）求图中阴影部分的周长和面积．

24．（2006?宣汉县）求圆环的面积．（阴影部分的面积是56平方厘米）

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2015年12月大学英语四级考试真题（第2套） Part I Writing（30 minutes） Directions: For this part，you are allowed 30 minutes to write an essay commenting on the saying "Learning is a daily experience and a lifetime mission.” You can cite examples to illustrate the importance of lifelong learning. You should write at least 120 words but no more than 180 words. Part II Listening Comprehension（30 minutes） Questions 9 to 11 are based on the conversation you have just heard. 9. A) From the wanted column. C) From a telephone directory. B) From some of her friends. D) From a television commercial. 10. A) She received full-time education abroad. C) She finished her secondary school. B) She graduated from an open university. D) She studied in a vocational college. 11. A) She is a shorthand-typist. C) She is a policewoman. B) She works as a tour guide. D) She teaches an evening class. Questions 12 to 15 are based on the conversation you have just heard. 12. A) It provides him with career opportunities. C) It has been off and on for ten years. B) It helps enlarge his customer network. D) It was interrupted for four years. 13. A) Individualized service. C) Home-made beer. B) Traditional setting. D) Social games. 14. A) The quality of beer. C) The owner's attitude. B) The atmosphere. D) The right location. 15. A) It is a rather tough job．C) It helps old people kill time. B) It is a profitable business. D) It makes retirees feel useful. Section B Directions:In this section，you will hear 3 short passages. At the end of each passage, you will hear some questions. Both the passage and the questions will be spoken only. After you hear a question, you must choose the best answer from the four choices marked A )，B)，C) and D)．Then mark the corresponding letter on Answer Sheet 1 with a single line through the centre. Passage One Questions 16 to 18 are based on the passage you have just heard. 16. A) It is becoming increasingly popular. C) It gives rise to serious social instability. B) It helps the user to escape reality. D) It hurts a person and those around them. 17. A) They use drugs just for fun. C) They use drugs as medicine. B) They take drugs to get high. D) They keep drug use a secret. 18. A) It is quite common in entertainment circles. B) It is the cause of various social problems. C) It is hard to get rid of. D) It is fatal to the user. Passage Two Questions 19 to 22 are based on the passage you have just heard. 19. A) Taking up exercises after recovery. C) Finding new ways to cure heart disease. B) Producing tasty healthy frozen food. D) Going on a diet upon leaving the hospital. 20. A) It was carefully tested with consumers. C) It was disapproved by many diet experts. B) It was promoted by health organizations. D) It was highly expected by the general public. 21. A) Competitive price. C) Vigorous promotion. B) Low expectations. D) Unique ingredients. 22. A) It was suggested by the firm's vice-president.

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2014年12月大学英语六级考试真题（第1套） Section B Directions: In this section, you are going to read a passage with ten statements attached to it. Each statement contains information given in one of the paragraphs. Identify the paragraph from which the information is derived. You may choose a paragraph more than once. Each paragraph is marked with a letter. Meaning Is Healthier Than Happiness [A]For at least the last decade, the happiness craze has been building. In the last three months alone, over 1,000 books on happiness were released on Amazon, including Happy Money, Happy-People-Pills For All, and, for those just starting out, Happiness for Beginners. [B]One of the consistent claims of books like these is that happiness is associated with all sorts of good life outcomes, including - most promisingly - good health. Many studies have noted the connection between a happy mind and a healthy body - the happier you are, the better health outcomes we seem to have. In a meta-analysis (overview) of 150 studies on this topic, researchers put it like this: “Inductions of well-being lead to healthy functioning, and inductions of ill-being lead to compromised health.” [C]But a new study, just published in the Proceedings of the National Academy of Sciences (PNAS) challenges the rosy picture. Happiness may not be as good for the body as researchers thought. It might even be bad. [D]Of course, it's important to first define happiness. A few months ago, I wrote a piece called “There's More to Life Than Being Happy”about a psychology study that dug into what happiness really means to people. It specifically explored the difference between a meaningful life and a happy life. [E]It seems strange that there would be a difference at all. But the researchers, who looked at a large sample of people over a month-long period, found that happiness is associated with selfish “taking”behavior and that having a sense of meaning in life is associated with selfless “giving”behavior. [F]"Happiness without meaning characterizes a relatively shallow, self-absorbed or even selfish life, in which things go well, needs and desire are easily satisfied, and difficult or taxing entanglements are avoided," the authors of the study wrote. "If anything, pure happiness is linked to not helping others in need.”While being happy is about feeling good, meaning is derived from contributing to others or to society in a bigger way. As Roy Baumeister, one of the researchers, told me, "Partly what we do as human beings is to take care of others and contribute to others. This makes life meaningful but it does not necessarily make us happy.” [G]The new PNAS study also sheds light on the difference between meaning and happiness, but on the biological level. Barbara Fredrickson, a psychological researcher who specializes in positive emotions at the University of North Carolina-Chapel Hill, and Steve Cole, a genetics and psychiatric researcher at UCLA, examined the self-reported levels of happiness and meaning in 80 research subjects. [H]Happiness was defined, as in the earlier study, by feeling good. The researchers measured happiness by asking subjects questions like “How often did you feel happy?”“How often did you feel interested in life?”and “How often did you feel satisfied?”The more strongly people endorsed these measures of “hedonic well-being,”or pleasure, the higher they scored on happiness.