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
外语
DYou are given that the circle has a diameter of 10, and from the figure you can assume that points A, B, C, and D lie on the ci
DYou are given that the circle has a diameter of 10, and from the figure you can assume that points A, B, C, and D lie on the ci
admin
2014-08-12
35
问题
选项
答案
D
解析
You are given that the circle has a diameter of 10, and from the figure you can assume that points A, B, C, and D lie on the circle in the order shown. However, because figures are not necessarily drawn to scale, you cannot assume anything else about the positions of points A, B, C, and D on the circle. Therefore, to get an idea of how various possible positions of these four points could affect the area of quadrilateral ABCD, it is a good idea to see how the figure can vary but still have points A, B, C, and D in the same order as in the figure above.
One way that you might vary the figure is to evenly space the four points along the circle, as shown below.
Another way is to draw points A and C opposite each other, with points B and D close to point C, as shown below.
From these figures you can draw some basic conclusions about the area of ABCD.
If points A and C are opposite each other, with points B and D very close to point C, the area of quadrilateral ABCD is very close to 0. Clearly, the area can be less than 40(Quantity B).
If points A, B, C, and D are evenly spaced, the area is not close to 0. How does the area compare with 40? To calculate the area of ABCD, draw the diameters AC and BD in the figure. The two diameters are perpendicular bisectors of each other, so they divide ABCD into four right triangles, as shown.
The area of each of the right triangles is(1/2)(5)(5), or 12.5. Thus, the area of
ABCD is(4)(12.5), or 50.
Since the area of the quadrilateral in the first figure is less than 40 and the area of the quadrilateral in the second figure is greater than 40, the relationship cannot be determined from the information given. The correct answer is Choice D.
转载请注明原文地址:https://kaotiyun.com/show/rykO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
在房子前面的大树下放着一张桌子。
每个人都知道,学习对一个人的成长是至关重要的。
Somepeoplethinkoflifeasagame.Therearesimilaritiesbetweenlifeandgames;bothcanbeplayed,bothhaverules,andbot
Somepeoplethinkoflifeasagame.Therearesimilaritiesbetweenlifeandgames;bothcanbeplayed,bothhaverules,andbot
WehavequiteabitofinformationaboutancientEgyptianmedicine.Doctors’instructionshavebeenfoundtotellus【56】theydid
WehavequiteabitofinformationaboutancientEgyptianmedicine.Doctors’instructionshavebeenfoundtotellus【56】theydid
Allthefollowingcasesareon-the-jobsmokingexceptthat______.Inthesecondpartofthepassage,theauthorsuggestsbannin
WhatisthemajorfunctionofParagraph1?OneofthemostobviousadvantagesofTVisthat______.
DuringatriptoobservewildanimalsinAfrica,Iencounteredtheleastbraveanimalonearth,thewildebeest(角马).Isatona
ThearistocraticvaluesexpressedinthewritingsofMarguerieYourcenarplaceherwithintheFrenchclassicaltradition,asdoe
随机试题
某夜,村民马某遭到牛某、朱某、杨某等一伙人的殴打,到公安机关控告牛某等人。公安机关认为证据尚不充分,且查证困难,即告知马某不予立案,并让其到人民法院自诉。马某对公安机关不予立案不服,他可以采取保护的办法有()。
患者,女,32岁,多食、多汗、易怒1年,劳累后心慌、气短2个月。1年前与家人生气后,感心慌,易饥,食量由原来的250g/d增至500g/d,同时怕热多汗,说话多,易怒、失眠,逐渐发现双眼突出,梳头困难,蹲下站起时困难,在当地医院查T3为600ng/d1(R
金属器械的保养方法不正确的是()
某现浇混凝土框架一剪力墙结构,角柱为穿层柱,柱顶支承托柱转换梁,如图24—26(Z)所示。该穿层柱抗震等级为一级,实际高度L=10m,考虑柱端约束条件的计算长度系数μ=1.3,采用钢管混凝土柱,钢管钢材Q345(fa=300N/mm2),外径D=1000m
如果当前的证券价格反映了历史价格信息和所有公开的价格信息,则该市场属于()。
开放带来进步,封闭必然落后。2018年11月,习近平在首届进口博览会上指出,改革开放40年来,中国坚持打开国门搞建设,实现了从封闭半封闭到全方位开放的伟大历史转折。开放已经成为当代中国的鲜明标识。以下关于我国对外开放的说法正确的是()
Accordingtotheoptimalportfoliotheory,whereshouldportfolioslie?______.
(51)Itisusefultorememberthathistoryistothenationasmemory-istotheindividual.Aspersonsdeprivedofmemorybecome
ProfessorJamessuggestedthathisstudents______acompositionaboutairpollution.
INeverThoughtItCouldHappentoMe"IthoughtIhadplannedforeverything."Thesearethewordsofafloodvictim—theyc
最新回复
(
0
)