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
23
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
Ingeneral,()languageacquisitionreferstochildren’sdevelopmentoftheirlanguageofthecommunityinwhichachildhas
长臂管辖(权)(long-armjurisdiction)是美国法院在民事诉讼中确定对案件是否拥有管辖权的一项规则。在1945年的国际鞋业公司诉华盛顿州案中,美国联邦最高法院以“最低限度联系”理论为基础,创立了特殊属人管辖权(specificjuris
长臂管辖(权)(long-armjurisdiction)是美国法院在民事诉讼中确定对案件是否拥有管辖权的一项规则。在1945年的国际鞋业公司诉华盛顿州案中,美国联邦最高法院以“最低限度联系”理论为基础,创立了特殊属人管辖权(specificjuris
SincetheWorldWideWebwascreatedin1990,theonlywaytogetontotheinternethasbeenthroughacomputer,acostlyboxth
Thepaintingwaslargerthanitappearedtobe,forhanginginadarkenedrecessofthechapel,itwas______bytheperspective
Theworldisgoingthroughthebiggestwaveofmergersandacquisitionseverwitnessed.TheprocesssweepsfromhyperactiveAmer
Pleasewriteacompositionof400wordsonthefollowingtopic:Somepeoplebelievethatvisitorstoothercountriesshouldfoll
Inspiteoftheincreasing______oftheiropinions,thegroupknewtheyhadtoarriveataconsensussothattheawardcouldbe
Althoughcosmeticsurgery(andnon-surgicallycosmetic 【M1】______procedures,suchasBotoxinjections)sometimespr
Thisnovelwoncriticalpraisewhile______astormofcontroversywithitscandidandrawdescriptionsofadolescentlust.
随机试题
2013年3月18日,甲机械公司与乙融资租赁公司接洽融资租赁某型号数控机床事宜。同年4月1日,乙按照甲的要求与丙精密设备公司签订了购买1台某型号数控机床的买卖合同。丁以乙的保证人身份在该买卖合同上签字,但合同中并无保证条款,丙和丁亦未另行签订保证合同。乙和
下列哪项论述不正确
A.减轻鼻黏膜充血B.退热缓解疼痛C.对抗病毒复制D.改善体液循环E.减少打喷嚏或鼻溢液在抗感冒药中,含有氯苯那敏成分复方制剂的应用目的是()。
衡量一个企业质量管理体系有效性的总指标是()。
()是石油化工行业应用最为广泛的灭火系统,主要用于扑救可燃液体火灾,也可用于扑救固体物质火灾。
行政机关在其法定职权范围内,依照法律、法规、规章规定,可以委托()实施行政许可。
核心流动资产应当由长期融资来实现。()
现代中国似乎有这样一种想法,认为西方的文学是讲述普遍人性的东西,________人人可以理解,中国古代文学________仅仅属于古代,________一仅仅属于中国古代,________就变成一个很僵化的东西,放在由中国所独家拥有的过去。如果这样想的话,
刑法第24条第2款规定:“对于中止犯,没有造成损害的,应当免除处罚;造成损害的,应当减轻处罚。”对该条款的理解,正确的是()(2010年一法专一第7题)
Itisfutiletodiscussthematterfurther,because______goingtoagreeuponanythingtoday.
最新回复
(
0
)