[Problem Solving]
试题详情
题目:
An equilateral triangle that has an area of 9 3^1/2 is inscribed in a circle. What is the area of the circle?
选项:
A、6pi
B、9pi
C、12 pi
D、9pi 3^1/2
E、18pi 3^1/2
答案:
C
Line | Frazier and Mosteller assert that medical research |
could be improved by a move toward larger, simpler | |
clinical trials of medical treatments. Currently, | |
researchers collect far more background information | |
(5) | on patients than is strictly required for their trials— |
substantially more than hospitals collect—thereby | |
escalating costs of data collection, storage, and | |
analysis. Although limiting information collection | |
could increase the risk that researchers will overlook | |
(10) | facts relevant to a study, Frazier and Mosteller |
contend that such risk, never entirely eliminable from | |
research, would still be small in most studies. Only | |
in research on entirely new treatments are new and | |
unexpected variables likely to arise. | |
(15) | Frazier and Mosteller propose not only that |
researchers limit data collection on individual | |
patients but also that researchers enroll more | |
patients in clinical trials, thereby obtaining a more | |
representative sample of the total population with | |
(20) | the disease under study. Often researchers restrict |
study participation to patients who have no ailments | |
besides those being studied. A treatment judged | |
successful under these ideal conditions can then be | |
evaluated under normal conditions. Broadening the | |
(25) | range of trial participants, Frazier and Mosteller |
suggest, would enable researchers to evaluate a | |
treatments efficacy for diverse patients under various | |
conditions and to evaluate its effectiveness for | |
different patient subgroups. For example, the value | |
(30) | of a treatment for a progressive disease may vary |
according to a patients stage of disease. Patients | |
ages may also affect a treatments efficacy. |
Line | When asteroids collide, some collisions cause |
an asteroid to spin faster; others slow it down. If | |
asteroids are all monoliths—single rocks—undergoing | |
random collisions, a graph of their rotation rates | |
(5) | should show a bell-shaped distribution with statistical |
tails of very fast and very slow rotators. If asteroids | |
are rubble piles, however, the tail representing the | |
very fast rotators would be missing, because any | |
loose aggregate spinning faster than once every few | |
(10) | hours (depending on the asteroids bulk density) |
would fly apart. Researchers have discovered that | |
all but five observed asteroids obey a strict limit on | |
rate of rotation. The exceptions are all smaller than | |
200 meters in diameter, with an abrupt cutoff for | |
(15) | asteroids larger than that. |
The evident conclusion—that asteroids larger than | |
200 meters across are multicomponent structures | |
or rubble piles—agrees with recent computer modeling | |
of collisions, which also finds a transition at that | |
(20) | diameter. A collision can blast a large asteroid to bits, |
but after the collision those bits will usually move | |
slower than their mutual escape velocity. Over several | |
hours, gravity will reassemble all but the fastest | |
pieces into a rubble pile. Because collisions among | |
(25) | asteroids are relatively frequent, most large bodies |
have already suffered this fate. Conversely, most | |
small asteroids should be monolithic, because impact | |
fragments easily escape their feeble gravity. |