首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
考研
In math, simple relationships can often take on critical roles. One such relationship, the Golden Ratio, has captivated the imag
In math, simple relationships can often take on critical roles. One such relationship, the Golden Ratio, has captivated the imag
admin
2020-08-17
40
问题
In math, simple relationships can often take on critical roles. One such relationship, the Golden Ratio, has captivated the imagination and appealed to mathematicians, architects, astronomers, and philosophers alike. The Golden Ratio has perhaps had more of an effect on civilization than any other well-known mathematical constant. To best understand the concept, start with a line and cut it into two pieces (as seen in the figure). If the pieces are cut according to the Golden Ratio, then the ratio of the longer piece to the length of the shorter piece (A:B) would be the same as the ratio of the length of the entire line to the length of the longer piece (A+B=A). Rounded to the neatest thousandth, both of these ratios will equal 1. 618:1.
The first recorded exploration of the Golden Ratio comes from the Greek mathematician Euclid in his 13-volume treatise on mathematics, Elements: published in approximately 300 BC. Many other mathematicians since Euclid have studied the ratio. It appears in various elements of certain regular geometric figures, which are geometric figures with all side lengths equal to each other and all internal angles equal to each other. Other regular or nearly regular figures that feature the ratio include the pentagram (a five-side star formed by five crossing line segments, the center of which is a regular pentagon) and three-dimensional solids such as the dodecahedron (whose 12 faces are all regular pentagons).
The Fibonacci sequence, described by Leonardo Fibonacci, demonstrates one application of the Golden Ratio. The Fibonacci sequence is defined such that each term in the sequence is the sum of the previous two terms, where the first two terms are 0 and 1. The next term would be 0+1 = 1, followed by 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, etc. this sequence continues: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and so on. As the sequence
progresses
, the ratio of any number in the sequence to the previous number gets closer to the Golden Ratio. This sequence appears repeatedly in various applications in mathematics.
The allure of the Golden Ratio is not limited to mathematics, however. Many experts believe that its aesthetic appeal may have been appreciated before it was ever described mathematically. In fact, ample evidence suggests that many design elements of the Parthenon building in ancient Greece beat a relationship to the Golden Ratio. Regular pentagons, pentagrams, and decagons were all used as design elements in its construction. In addition, several elements of the fade of the building incorporate the Golden Rectangle, whose length and width are in proportion to the Golden Ratio. Since the Parthenon was built over a century before Elements was published, the visual attractiveness of the ratio, at least for the building’s designers, may have played a role in the building’s engineering and construction.
Numerous studies indicate that many pieces of art now considered masterpieces may also have incorporated the Golden Ratio in some way. Leonardo da Vinci created drawings illustrating the Golden Ratio in numerous forms to supplement the writing of De Divina Proportione. This book on mathematics, written by Luca Pacioli, explored the application of various ratios, especially the Golden Ratio, in geometry and art. Analysts believe that the Golden Ratio influenced proportions in some of da Vinci’s other works, including his Mona Lisa and Annunciation paintings. The ratio is also evident in certain elements of paintings by Raphael and Michelangelo. Swiss painter and architect Le Corbusier used the Golden Ratio in many design components of his paintings and buildings. Finally, Salvador Dali intentionally made the dimensions of his work Sacrament of the Last Supper exactly equal to the Golden Ratio, and incorporated a large dodecahedron as a design element in the painting’s background.
The Golden Ratio even appears in numerous aspects of nature. Philosopher Adolf Zeising observed that it was a frequently occurring relation in the geometry of natural crystal shapes. He also discovered a common recurrence of the ratio in the arrangement of branches and leaves on the stems of many forms of plant life. Indeed, the Golden Spiral, formed by drawing a smooth curve connecting the corners of Golden Rectangles repeatedly inscribed inside one another, approximates the arrangement or growth of many plant leaves and seeds, mollusk shells, and spiral galaxies.
Which of the following is TRUE about the Golden Ratio?
选项
A、It was invented by mathematicians.
B、It has significantly impacted society in general.
C、It is most useful to astronomers and philosophers.
D、It is used to accurately calculate a length.
答案
B
解析
事实细节题。第一段第二句提到,黄金比例吸引了数学、建筑学、天文学和哲学等多个领域的关注。接着第三句讲到,相较于其他著名的数学常量而言,它对社会文明的影响最大。故B项为答案。文中并没有指出黄金比例对哪个领域用处最大,故排除C项;文中也没有提及黄金比例是谁发明的以及它的用途,故排除A项和D项。
转载请注明原文地址:https://kaotiyun.com/show/fwra777K
本试题收录于:
翻译硕士(翻译硕士英语)题库专业硕士分类
0
翻译硕士(翻译硕士英语)
专业硕士
相关试题推荐
Therelationshipbetween"fruit"and"apple"is().
()hasmoreNobelPrizewinnersthananyotherinstitutioninBritain.
When______,manyracistscannotgivealogicalreasonfortheirattitudestowardsotherracialgroups.
BecausemodernscientistfindtheancientGreekviewofthecosmosoutdatedandirrelevant,theynowperceiveitasonlyof____
Financialinstitutionswillspendhugesums,rollingournationwidenetworksinBritain,France,SpainandperhapsinGermany.B
Tobefair,thisobservationisalsofrequentlymadeofCanadaandCanadians,andshouldbestbeconsideredNorthAmerican.Ther
Thisisnotagoodtimetobeforeign.Anti-immigrantpartiesaregaininggroundinEurope.Britainhasbeenfrettingthisweek
TheJapanesedollar-buyingmakestraderseagerto______dollarsinfearofanothergovernmentintervention.
DavidMaranisschokedupwhenhesawthetwo-minuteChrysleradvertisementduringtheSuperBowl,theannualfootballextravagan
______aslightlimpheseemedfit;hecouldrunaway,butnotveryfast.
随机试题
下列关于蛋白质α螺旋的描述,不正确的是()。
男性,59岁。肝硬化病史4年。查体见前胸2个直径1cm大小的红色斑块,呈辐射状血管网,用棉签压其中心,血管网消失。应诊断为
乳腺摄影“MLO”英文缩写代表的体位是
净利润就是利润总额扣除()后的净额。
脑科学的研究表明,在人脑的发育中存在“关键期”,即人在发展过程中,某一方面在某一阶段发展得最快,比如,3岁以前是动作发展的“关键期”,l~3岁是语言发展的“关键期”,4岁左右是感知图形的“关键期”。在这一时期,脑在结构和功能上都具有很强的适应和重组的能力
根据以下资料,回答问题。表中所列矿砂及其精矿种类中,2017年12月进口金额超过全年月均数值的种类有几个?
(15年)设函数f(u,v)满足依次是
Strategyandcultureareamongtheprimaryleversattopleaders’disposalintheirnever-endingquesttomaintainorganizationa
(2011年下半年)如果某些信息系统集成项目的客户、集成商、厂商等一系列合作伙伴全都已经把业务部署在各自的Intemet网站上,而现在某客户希望可以把自己的IT业务系统通过Intemet与这些合作伙伴实现B2B集成,那么该系统最适合采用的技术是(9)。
Therearefewplacesinthiscountry______wheatcan’tgrowwell.
最新回复
(
0
)