[Problem Solving]
试题详情
题目:
If f is the function defined by f(x) = x2 (1-x)2 for all x, then f(1-x) =
选项:
A、f(x)
B、[f(x)]2
C、1 - f(x)
D、(1-x) f(x)
E、f(1) - f(x)
答案:
A
| Line | A small number of the forest species of |
| lepidoptera (moths and butterflies, which exist as | |
| caterpillars during most of their life cycle) exhibit | |
| regularly recurring patterns of population growth | |
| (5) | and decline—such fluctuations in population are |
| known as population cycles. Although many different | |
| variables influence population levels, a regular pattern | |
| such as a population cycle seems to imply a | |
| dominant, driving force. Identification of that driving | |
| (10) | force, however, has proved surprisingly elusive |
| despite considerable research. The common | |
| approach of studying causes of population cycles by | |
| measuring the mortality caused by different agents, | |
| such as predatory birds or parasites, has been | |
| (15) | unproductive in the case of lepidoptera. Moreover, |
| population ecologists attempts to alter cycles by | |
| changing the caterpillars habitat and by reducing | |
| caterpillar populations have not succeeded. In short, | |
| the evidence implies that these insect populations, if | |
| (20) | not self-regulating, may at least be regulated by an |
| agent more intimately connected with the insect than | |
| are predatory birds or parasites. | |
| Recent work suggests that this agent may be a | |
| virus. For many years, viral disease had been reported | |
| (25) | in declining populations of caterpillars, but population |
| ecologists had usually considered viral disease to | |
| have contributed to the decline once it was underway | |
| rather than to have initiated it. The recent work has | |
| been made possible by new techniques of molecular | |
| (30) | biology that allow viral DNA to be detected at low |
| concentrations in the environment. Nuclear | |
| polyhedrosis viruses are hypothesized to be the | |
| driving force behind population cycles in lepidoptera | |
| in part because the viruses themselves follow an | |
| (35) | infectious cycle in which, if protected from direct |
| sun light, they may remain virulent for many years | |
| in the environment, embedded in durable crystals of | |
| polyhedrin protein. Once ingested by a caterpillar, | |
| the crystals dissolve, releasing the virus to infect | |
| (40) | the insects cells. Late in the course of the infection, |
| millions of new virus particles are formed and | |
| enclosed in polyhedrin crystals. These crystals | |
| reenter the environment after the insect dies and | |
| decomposes, thus becoming available to infect | |
| (45) | other caterpillars. |
| One of the attractions of this hypothesis is its broad | |
| applicability. Remarkably, despite significant differences | |
| in habitat and behavior, many species of lepidoptera | |
| have population cycles of similar length, between eight | |
| (50) | and eleven years. Nuclear polyhedrosis viral infection is |
| one factor these disparate species share. |
| Line | It is an odd but indisputable fact that the |
| seventeenth-century English women who are | |
| generally regarded as among the forerunners of | |
| modern feminism are almost all identified with the | |
| (5) | Royalist side in the conflict between Royalists and |
| Parliamentarians known as the English Civil Wars. | |
| Since Royalist ideology is often associated with the | |
| radical patriarchalism of seventeenth-century | |
| political theorist Robert Filmer—a patriarchalism | |
| (10) | that equates family and kingdom and asserts the |
| divinely ordained absolute power of the king and, | |
| by analogy, of the male head of the household— | |
| historians have been understandably puzzled by the | |
| fact that Royalist women wrote the earliest | |
| (15) | extended criticisms of the absolute subordination |
| of women in marriage and the earliest systematic | |
| assertions of womens rational and moral equality | |
| with men. Some historians have questioned the | |
| facile equation of Royalist ideology with Filmerian | |
| (20) | patriarchalism; and indeed, there may have been |
| no consistent differences between Royalists and | |
| Parliamentarians on issues of family organization | |
| and womens political rights, but in that case one | |
| would expect early feminists to be equally divided | |
| (25) | between the two sides. |
| Catherine Gallagher argues that Royalism | |
| engendered feminism because the ideology of | |
| absolute monarchy provided a transition to an | |
| ideology of the absolute self. She cites the example | |
| (30) | of the notoriously eccentric author Margaret |
| Cavendish (1626–1673), duchess of Newcastle. | |
| Cavendish claimed to be as ambitious as any | |
| woman could be, but knowing that as a woman she | |
| was excluded from the pursuit of power in the real | |
| (35) | world, she resolved to be mistress of her own |
| world, the immaterial world that any person can | |
| create within her own mind—and, as a writer, on | |
| paper. In proclaiming what she called her | |
| singularity, Cavendish insisted that she was a | |
| (40) | self-sufficient being within her mental empire, the |
| center of her own subjective universe rather than a | |
| satellite orbiting a dominant male planet. In | |
| justifying this absolute singularity, Cavendish | |
| repeatedly invoked the model of the absolute | |
| (45) | monarch, a figure that became a metaphor for the |
| self-enclosed, autonomous nature of the individual | |
| person. Cavendishs successors among early | |
| feminists retained her notion of womans sovereign | |
| self, but they also sought to break free from the | |
| (50) | complete political and social isolation that her |
| absolute singularity entailed. |