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
43
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.
According to paragraph 5, da Vinci’s illustrations in De Divina Proportione and two of his paintings, the Mona Lisa and Annunciation ________.
选项
A、exhibit evidence that da Vinci’s work was influenced by the Golden Ratio
B、illustrate that he had a higher commitment to the Golden Ratio than other artists
C、provide examples showing that Renaissance art was more influenced by the Golden Ration than modern art
D、demonstrate that de Vinci’s work was at least as influential as the work of mathematicians or architects
答案
A
解析
事实细节题。第五段第二句讲到,达.芬奇创作了多种形式的插图来说明黄金比例,作为《神圣比例》一书的补充。接着第三句说明《神圣比例》一书讲的是各种比例的应用,特别是黄金比例。最后第四句又提到,分析人士认为,黄金比例影响了达.芬奇其他一些作品,包括他的画作《蒙娜丽莎》和《天使报喜》。故A项为答案。
转载请注明原文地址:https://kaotiyun.com/show/Nwra777K
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
What’sthechanceof______ageneralelectionthisyear?
Technically,negotiationoccursbetweenpeoplewhoareinterdependent,______thattheactionsofonepattyaffectthoseofthe
SomehistoriansbelievethatJohnJaycouldhaveplayed______inAmerica’shistoryasJamesMadison.
Thecomingoftherunwaysinthe1830’s______oursocietyandeconomiclife.
Everymarketactivityisaninvestmentintime,energyandmoney.Fewcompanieswouldspendalargesumofmoneyon,say,apurc
Althoughcosmeticsurgery(andnon-surgicallycosmetic 【M1】______procedures,suchasBotoxinjections)sometimespr
Youaretowriteanessayaccordingtothefollowingsituation:Itseemsthatintheinformationagewearespendinglessan
Duringtheopera’smostfamousariathetempochosenbytheorchestra’sconductorseemed______,withoutnecessaryrelationto
Iexpectthiscoursetoopenmyeyestostorymaterial,tounleashmytoodormantimagination,todevelopthatqualityutterlyl
Thereport,whichwascompletedbytheApril15deadlineonlythroughthehardworkandlonghoursoftheentirestaff.
随机试题
关于耳蜗微音器电位的叙述,错误的是
论述用高尚的人生目的指引人生方向的原因。
低钾血症时,体内并不一定缺钾的情况有哪些
患者,女,22岁。去某医院行拔牙术,注射麻药时,患者出现头晕、恶心、胸闷、四肢无力。查体:血压90/60mmHg,脉搏65次/分,面部及口唇苍白。对该患者上述情况的正确处理是()。
()是指依照公司法规定和依中华人民共和国证券法第一百一十七条规定批准的从事证券经营业务的有限责任公司或者股份有限公司。
背景:某幕墙公司通过招投标从总承包单位承包了某机关办公大楼幕墙工程施工任务。承包合同约定,本工程实行包工包料承包,合同工期180个日历天。在合同履行过程中发生了以下事件:事件一:按照合同约定,总承包单位应在8月1日交出施工场地,但由于总
Iwon’tpay$200forthisarticle,it’snotworth().
资产负债表中“固定资产清理”项目根据固定资产清理科目的贷方余额填列,如果是借方余额以负号表示。()
设x-(a+bcosx)sinx为x=0时x的5阶无穷小,求a,b的值.
[*]
最新回复
(
0
)