首页
登录
职称英语
[img]2022m10x/ct_ve01204002j_0052_221018[/img]In the figure above, what is the
[img]2022m10x/ct_ve01204002j_0052_221018[/img]In the figure above, what is the
游客
2024-01-13
21
管理
问题
In the figure above, what is the perimeter of △PQF ?
(1) The length of segment PT is 2.
(2) The length of segment RS is
.
选项
A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案
A
解析
Determine the perimeter of APQR by determining PQ + QR + PR.
(1) It is given that PT= 2. Since APTQ is a 45°-45°-90° triangle, it follows that QT = 2 and PQ =
. Since △QTR is a 30°—60°—90° triangle and QT = 2, it follows that QR = 4 and TR =
. PT+ TR = PR, so PR, QR, and PQ are known and the perimeter of △PQR can be determined; SUFFICIENT.
(2) It is given that RS =
, but no information is given to determine TS. If, for example, TS = V3, then AQTR is a 30°—60°—90° triangle with TS+SR=TR =
. It follows that QT = 2 and QR = 4. Also, △PTQ is a 45°-45°-90° triangle with QT= 2. It follows that PT= 2 (hence PR = 2 +
) and PQ =
, so the perimeter of the triangle is
. However, if TS =
, then △QTR is a 30°—60°—90° triangle with TS+SR=TR =
. It follows that QT= 3, and QR = 6. Also, APTQ is a 45°—45°—90° triangle with QT = 3. It follows that PT= 3 (hence PR = 3 +
) and PQ =
, so the perimeter of the triangle is
; NOT sufficient.
The correct answer is A;
statement 1 alone is sufficient.
转载请注明原文地址:https://tihaiku.com/zcyy/3360139.html
相关试题推荐
Itisnoteasy______theanswertothedifficultmathproblem.A、tofigureoutB
Jessie:Ohboy.Idon’tthinkIcaneverfiguretheproblemout.Peter:______A、
Itisnoteasy()theanswertothedifficultmathproblem.A、tofigureoutB、figu
Inthefigureabove,whatisthevalueof2s-r?[img]2011q3/ct_egmatqj_egmatqchoo
Intherectangularfigureabove,theareaoftheshadedregionisequaltothea
Inthefigureabove,x=2.WhatistheareaofcircleO?[img]2011q3/ct_egmatqj_eg
Whatistheareaoftheshadedfigure?[img]2011q3/ct_egmatqj_egmatqchoose_0056_2
Thefigureaboverepresentsawindow,withtheshadedregionsrepresentingopeni
Ifa<b<c<0,then[img]2022m10x/ct_ve01203002m_egmatqchoose_0071_221020[/img]isA、
Ifd=[img]2022m10x/ct_ve01204002j_0015_221018[/img],a=c/2,andb=3c/4,whatist
随机试题
Thefastesttransatlanticvoyagebyapacketmentionedbytheauthorwasfrom__
She______fromscoldingherchilduntilthecompanyleft.A、refrainedB、restrain
[originaltext]Readingtooneselfisamodemactivitywhichwasalmostunk
设f(x)是区间[a,b]上的连续函数,证明:存在ξ∈[a,b],使得f(ξ)(
(2021年真题)在确定杠杆收购中自有资金与外部资金的比例时,通常不需要考虑的是
三相对称电压源()A.幅值相等B.频率相同C.相位互差120度D.
各种运输方式内外部的各个方面的构成和联系,就是( )。 A.运输系统
利尿药初期降压机制可能是A.降低血管对缩血管剂的反应性 B.增加血管对扩血管剂
《中华人民共和国食品安全法》的实施时间为()。 A.2009年2月28日
下列选项中,不属于房地产投资项目可行性研究报告摘要内容的是()。A:项目的主要经
最新回复
(
0
)