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
Points A and B are shown in the xy-plane above. Point C(not shown)is above the x-axis so that the area of triangle ABC is 10. Wh
Points A and B are shown in the xy-plane above. Point C(not shown)is above the x-axis so that the area of triangle ABC is 10. Wh
admin
2015-03-24
19
问题
Points A and B are shown in the xy-plane above. Point C(not shown)is above the x-axis so that the area of triangle ABC is 10. Which of the following could be the coordinates of C ?
Indicate all such coordinates.
选项
A、(0,4)
B、(1,3)
C、(2,5)
D、(3,4)
E、(4,5)
答案
A,D
解析
From the figure, you can see that points A and B are on the x-axis. Since the x-coordinate of A is 1 and the x-coordinate of B is 6, the length of side AB is 5. Point C is not shown, but you know that C is above the x-axis and that the area of triangle ABC is 10. Using the formula for the area of a triangle, you can see that the height h from point C to the corresponding base AB satisfies the equation 10 =
.
Therefore h = 4.
There are many possibilities for triangle ABC subject to these conditions. The following figures show three examples.
In the three examples, the dashed vertical line segments represent the height from point C to the base AB, and the coordinates of C are(3.5, 4),(5,4), and(8,4), respectively. Note that in all three cases, the y-coordinate of C is 4. In fact, for any triangle ABC that satisfies the conditions in the question, point C is a point with a y-coordinate of 4. Of the answer choices, only(0, 4)and(3, 4)have a y-coordinate of 4. The correct answer consists of Choices A and D.
This explanation uses the following strategies.
Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation
Strategy 6: Add to a Geometric Figure
Strategy 8: Search for a Mathematical Relationship
转载请注明原文地址:https://kaotiyun.com/show/75kO777K
本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
相关试题推荐
Somepeoplethinkoflifeasagame.Therearesimilaritiesbetweenlifeandgames;bothcanbeplayed,bothhaverules,andbot
WhenIwasyoung,Ispentmysummervacationsonmygrandparents’farm.ThesummerthatIgraduatedfromcollege,I【C1】______my
Caraccidentskillmorethanonemillionpeopleandinjureapproximately50millioneachyear.【C1】______,millionsoffishcans
Caraccidentskillmorethanonemillionpeopleandinjureapproximately50millioneachyear.【C1】______,millionsoffishcans
Whofirstthoughtofusingbullockstoprovideenergy?Whichofthefollowingistrueaboutthedevicementionedinthepassage
Agoodtitleforthispassageis______.Theaveragenumberofhoursofsleepthatanadultneedsis______.
Whatdoestheauthormeanbysaying"theyknowbetternow?"Whichofthefollowingisthemostappropriatetitleforthepassag
Therearemanyolderpeopleintheworldandtherewillbemanymore.Alittle-knownfactisthatover60percentoftheolderp
Duringthelastthreedecades,thenumberofpeopleparticipatinginphysicalfitnessprograms______sharply.
Inacertaingame,eachplayerscoreseither2pointsor5points.Ifnplayersscore2pointsandmplayersscore5points,and
随机试题
男,30岁,建筑工人,从高处坠下,腰痛。血压85/50mmHg,脉细速,神志淡漠,面色苍白,HR110次/分,全腹压痛、轻度肌紧张、反跳痛,肠鸣音减弱,移动性浊音(+)。应立即施行
硝酸甘油、维拉帕米、川芎嗪、普萘洛尔治疗心绞痛的共同作用机制是
既能用于支气管哮喘,又能用于心源性哮喘的药物是()
如果纳米新型材料公司与商某委托开发完成了发明创造,则在双方没有约定的情况下申请专利的权利应属于()。如果商某要转让对材料M的专利申请权,则()。
排水管渠系统中,雨水口按进水箅在街道上的设置位置可分为()。
现值指数法与净现值法相比较,其优点是()。
下列关于见面礼节说法正确的是()。
国际货币基金组织(IMF)在()年把人民币纳入特别提款权(SDR)。
民国时期出版的著名大型工具书包括()等。
设,而n≥2为正整数,则An-2An-1=_________.
最新回复
(
0
)